[
  {
    "answer":"E",
    "choices":{
      "A":"-10",
      "B":"-5",
      "C":"0",
      "D":"5",
      "E":"10"
    },
    "exam":"source5",
    "id":10000,
    "originalQuestionNumber":1,
    "question":"If \\(a - 5 = O\\), what is the value of \\(a + 5\\) ?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"III only",
      "D":"I and II only",
      "E":"I, II, and III"
    },
    "exam":"source2",
    "id":10001,
    "originalQuestionNumber":3,
    "question":"If k is an integer and \\(k = \\frac { m } { 3 } \\) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"-1",
      "B":"0",
      "C":"1",
      "D":"2",
      "E":"3"
    },
    "exam":"source2",
    "id":10003,
    "originalQuestionNumber":19,
    "question":"If x = 1 = kx, for which of the following values of k will the equation have NO solution?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(t + 2\\)",
      "B":"\\(t + 1\\)",
      "C":"\\(\\frac { t } { 2 } \\)",
      "D":"\\(\\frac { t + 1 } { 2 } \\)",
      "E":"\\(\\frac { t + 2 } { 2 } \\)"
    },
    "exam":"source2",
    "id":10004,
    "originalQuestionNumber":7,
    "question":"The sum of two consecutive even integers is \\(t\\). In term of \\(t\\), what is the value of the greater of the two numbers?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"0",
      "B":"1",
      "C":"2",
      "D":"3",
      "E":"4"
    },
    "exam":"source6",
    "id":10006,
    "originalQuestionNumber":12,
    "question":"If \\(3y^4 + xy - x^2 = y^2 - 25\\) and \\(y = 0\\), how many possible values of \\(x\\) are there?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(0\\%\\)",
      "B":"\\(1\\%\\)",
      "C":"\\(2\\%\\)",
      "D":"\\(20\\%\\)",
      "E":"No change"
    },
    "exam":"source2",
    "id":10007,
    "originalQuestionNumber":2,
    "question":"If the price of a jacket was increased by \\(10\\%\\) last week and then decreased \\(10\\%\\) this week, what is the overall percent change from the original price?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"1",
      "B":"9",
      "C":"15",
      "D":"24",
      "E":"40"
    },
    "exam":"source1",
    "id":10008,
    "originalQuestionNumber":14,
    "question":"For all real numbers x and y, let \\(\\star\\) be defined by \\(x \\star y = x^2 - y\\). What is the value of \\(4 \\star (3 \\star 2)\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"2",
      "B":"4",
      "C":"6",
      "D":"8",
      "E":"10"
    },
    "exam":"source1",
    "id":10011,
    "originalQuestionNumber":3,
    "question":"If \\(x + 2y = 14\\), \\(y = z + 2\\), and \\(z = 4\\), then what is the value of x?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"h(x) = f(x) + g(x)",
      "B":"p(x) = f(x) + 3g(x)",
      "C":"r(x) = 2f(x) + 3g(x)",
      "D":"s(x) = 3f(x) + 2g(x)"
    },
    "exam":"source7",
    "id":10012,
    "originalQuestionNumber":25,
    "question":"\\begin{gather} f(x) = 2x^3 + 6x^2 + 4x \\\\ g(x) = x^2 + 3x + 2 \\end{gather} The polynomials f(x) and g(x) are defined above. Which of the following polynomials is divisible by 2x + 3?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"2",
      "B":"3",
      "C":"4",
      "D":"5",
      "E":"6"
    },
    "exam":"source2",
    "id":10013,
    "originalQuestionNumber":2,
    "question":"\\(S = \\ { 3, 6, 12\\ } \\) From the given above, how many different values can be created by forming fractions \\(\\frac { a } { b } \\) such that \\(a\\) and \\(b\\) are distinct elements of the set \\(S\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"68",
      "B":"64",
      "C":"60",
      "D":"16",
      "E":"15"
    },
    "exam":"source1",
    "id":10014,
    "originalQuestionNumber":17,
    "question":"Jackie wants to place some photographs into her photo album and discovers that pages 10 through 25, including 10 and 25, are unfilled. If she can place 4 photographs on each unfilled page, what is the total number of photographs she can place on these pages?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"4",
      "B":"6",
      "C":"8",
      "D":"10",
      "E":"12"
    },
    "exam":"source1",
    "id":10016,
    "originalQuestionNumber":4,
    "question":"\\begin{gather*} 3, 8,13,18,23,28, 33, 38 \\end{gather*} If from the sequence of numbers above, a new sequence is created by increasing each odd-valued term by 3 and decreasing each even-valued term by 2, the sum of the terms of this new sequence is how much greater than the sum of the terms of the original sequence?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"0",
      "B":"y",
      "C":"\\(-3x\\)",
      "D":"\\(-(3x + y)\\)",
      "E":"\\(-(3x - y)\\)"
    },
    "exam":"source1",
    "id":10021,
    "originalQuestionNumber":12,
    "question":"If \\(3x < 0 < y\\), which of the following is greatest?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(k \\leq p + \\frac { 60 } { 3 } \\)",
      "B":"\\(k \\leq \\frac { p } { 3 } + 60\\)",
      "C":"\\(k \\leq p + \\frac { 20 } { 3 } \\)",
      "D":"\\(k \\geq p + \\frac { 60 } { 3 } \\)",
      "E":"\\(k \\geq \\frac { p } { 3 } + 60\\)"
    },
    "exam":"source2",
    "id":10024,
    "originalQuestionNumber":5,
    "question":"If \\(k\\) is at least 20 more than \\(\\frac { 1 } { 3 } \\)of \\(p\\), which of the following describes this relationship?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(6n\\)",
      "B":"\\(9n\\)",
      "C":"\\(12n\\)",
      "D":"\\(15n\\)",
      "E":"\\(21n\\)"
    },
    "exam":"source6",
    "id":10026,
    "originalQuestionNumber":2,
    "question":"In the figure above, \\(\\triangle { ABC } \\) is equilateral and ACDE is a square. If \\(AC = 3n\\), what is the perimeter of polygon ABCDE ?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(-6\\)",
      "B":"\\(\\frac{1}{6}\\)",
      "C":"6",
      "D":"18",
      "E":"216"
    },
    "exam":"source1",
    "id":10027,
    "originalQuestionNumber":12,
    "question":"If \\(x^{-\\frac{2}{3}} = \\frac{1}{36}\\), then what does x equal?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"2",
      "B":"3",
      "C":"4",
      "D":"5",
      "E":"6"
    },
    "exam":"source1",
    "id":10029,
    "originalQuestionNumber":17,
    "question":"If a, b, and x are positive integers and \\(\\triangle(a,x,b)\\) is defined as the number of possible different triangles with sides of lengths a, b, and x, what is the value of \\(\\triangle(2,x,7)\\)?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(-36\\)",
      "B":"\\(-28\\)",
      "C":"\\(-4\\)",
      "D":"4",
      "E":"36"
    },
    "exam":"source1",
    "id":10031,
    "originalQuestionNumber":17,
    "question":"If \\(r = -2\\) and \\(s = 5\\), what is the value of \\(r^2 (2r + s)\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"3",
      "B":"4",
      "C":"5",
      "D":"7",
      "E":"9"
    },
    "exam":"source2",
    "id":10033,
    "originalQuestionNumber":10,
    "question":"The average rate of change of a function f between a and b is defined by \\(C(x) = \\frac { f(b) - f(a) } { b - a } \\). If \\(f(2) = 6\\) and \\(f(5) = 15\\), what is the average rate of change between 2 and 5?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"1,2,3",
      "B":"0,1,2",
      "C":"-1,0,1",
      "D":"0,2",
      "E":"1,2"
    },
    "exam":"source2",
    "id":10034,
    "originalQuestionNumber":7,
    "question":"If set S has the property that x is in S, and \\(x^2 - 2x + 1\\) is also in S, which of the following sets could be S?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"III only",
      "D":"I and III only",
      "E":"II and III only"
    },
    "exam":"source2",
    "id":10037,
    "originalQuestionNumber":14,
    "question":"Which of the following sets of numbers has the property that the sum of any two numbers in the set is also in the set? I. \\(\\{ 1,2,3,...\\}\\) II. \\(\\{ 1,3,5,...\\}\\) III. \\(\\{ 10,20,30,...\\}\\)",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(p = q + 1\\)",
      "B":"\\(p = q\\)",
      "C":"\\(p = -q\\)",
      "D":"\\(pq = 1\\)",
      "E":"\\(pq = p + q\\)"
    },
    "exam":"source2",
    "id":10039,
    "originalQuestionNumber":17,
    "question":"For all positive values of \\(p\\) and \\(q\\), let \\(p \\circledast q\\) be defined by \\(\\frac { pq } { p + q } \\). If \\(p \\circledast q = \\frac { 1 } { p } \\circledast \\frac { 1 } { q } \\), which of the following must be true?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"70",
      "B":"90",
      "C":"120",
      "D":"150",
      "E":"185"
    },
    "exam":"source1",
    "id":10042,
    "originalQuestionNumber":5,
    "question":"If 125 percent of x is 150, what is x percent of 75?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"14\\%",
      "B":"7\\%",
      "C":"1.4\\%",
      "D":"0.14\\%",
      "E":"0.07\\%"
    },
    "exam":"source2",
    "id":10043,
    "originalQuestionNumber":8,
    "question":"If \\(p > 0\\), then 5 percent of 7 percent of \\(4p\\) equals what percent of \\(p\\) ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\frac{45}{11}",
      "B":"5",
      "C":"\\frac{11}{2}",
      "D":"\\frac{55}{9}"
    },
    "exam":"source7",
    "id":10044,
    "originalQuestionNumber":10,
    "question":"If \\frac{t + 5}{t - 5} = 10, what is the value of t?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(|x - 13| = \\frac{1}{16}\\)",
      "B":"\\(|x + 13| = \\frac{1}{16}\\)",
      "C":"\\(|x - 13| > \\frac{1}{16}\\)",
      "D":"\\(|x + 13| < \\frac{1}{16}\\)",
      "E":"\\(|x - 13| < \\frac{1}{16}\\)"
    },
    "exam":"source1",
    "id":10045,
    "originalQuestionNumber":19,
    "question":"A lumber company producing 13-inch boards can only sell ones cut between \\(12 \\frac{15}{16}\\) and \\(13 \\frac{1}{16}\\). If it sells a board that is x inches long, which of the following describes all possible values ofx?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"25",
      "B":"50",
      "C":"75",
      "D":"120",
      "E":"200"
    },
    "exam":"source6",
    "id":10046,
    "originalQuestionNumber":18,
    "question":"There are four colors of lottery tickets in a hat. If \\(\\frac { 1 } { 10 } \\) of the tickets in the hat are green, \\(\\frac { 1 } { 2 } \\) are white, \\(\\frac { 1 } { 4 } \\) are blue, and the remaining 30 tickets are pink, what is the number of blue tickets in the hat?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(\\frac{xy}{19}\\)",
      "B":"\\(\\frac{y + 19}{x}\\)",
      "C":"\\(\\frac{2y - x}{19}\\)",
      "D":"\\(\\frac{y - 19}{x}\\)",
      "E":"\\(\\frac{19 - x}{y}\\)"
    },
    "exam":"source1",
    "id":10047,
    "originalQuestionNumber":6,
    "question":"John has y dollars to spend on some new CDs from Music Plus, an online record store. He can buy any CDs at the members' price of x dollars each. To be a member, John has to pay a one-time fee of $19. Which of the following expressions represents the number of CDs John can purchase from Music Plus?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"2",
      "B":"3",
      "C":"4",
      "D":"6",
      "E":"9"
    },
    "exam":"source6",
    "id":10048,
    "originalQuestionNumber":10,
    "question":"If 299 is divisible by \\(2B\\), and \\(B\\) represents a positive digit, what is the value of \\(B\\) ?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"I only",
      "B":"III only",
      "C":"I and II only",
      "D":"II and III only",
      "E":"I, II, and III"
    },
    "exam":"source1",
    "id":10049,
    "originalQuestionNumber":10,
    "question":"If \\(a < b < c < 0\\), which of the following must be true? I. \\(a - b < c\\) II. \\(-a > -c\\) III. \\(a + b < b + c\\)",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"6",
      "B":"8",
      "C":"10",
      "D":"12",
      "E":"14"
    },
    "exam":"source2",
    "id":10050,
    "originalQuestionNumber":4,
    "question":"\\(A = \\{ 2, 4, 6 \\}\\) \\(B = \\{ 1, 2, 3, 4 \\}\\) Set \\(A\\) and \\(B\\) are shown above. If a is \\(a\\) member of set \\(A\\) and \\(b\\) is a member of set \\(B\\), how many different values are possible for \\(ab\\)? If the statement above is true, which of the following must also be true?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(x + 2 \\times 45 = 18 - x\\)",
      "B":"\\(2x + 45 = x - 18\\)",
      "C":"\\(2(x + 45) = x + 18\\)",
      "D":"\\(2(x - 45) = x - 18\\)",
      "E":"\\(2(x + 45) = x - 18\\)"
    },
    "exam":"source2",
    "id":10051,
    "originalQuestionNumber":5,
    "question":"If a number is increased by 45 and the result is multiplied by 2, the result is 18 less than the original number. In which of the following equations does \\(x\\) represent the number?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"0",
      "B":"2",
      "C":"4",
      "D":"9",
      "E":"16"
    },
    "exam":"source6",
    "id":10052,
    "originalQuestionNumber":12,
    "question":"If \\(\\frac { 2x + 10\\sqrt { x } + 12 } { \\sqrt { x } + 3 } = 3\\sqrt { x } \\), what is the value of \\(x\\)?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"1 : 2",
      "B":"3 : 2",
      "C":"4 : 1",
      "D":"4 : 3",
      "E":"8 : 1"
    },
    "exam":"source6",
    "id":10055,
    "originalQuestionNumber":3,
    "question":"The diameter of a basketball is 4 times the diameter of a racquetball. What is the ratio of the radius of the basketball to that of the racquetball?",
    "sectionLength":14,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"220",
      "B":"190",
      "C":"120",
      "D":"85.5",
      "E":"60"
    },
    "exam":"source1",
    "id":10057,
    "originalQuestionNumber":7,
    "question":"Eduardo drives to school at an average speed of 60 miles per hour and returns along the same route at an average speed of 30 miles per hour. If his total travel time is 3 hours, what is the total number of miles in the round trip?",
    "sectionLength":18,
    "sectionNumber":4,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"23",
      "B":"17",
      "C":"16",
      "D":"11",
      "E":"3"
    },
    "exam":"source1",
    "id":10059,
    "originalQuestionNumber":5,
    "question":"The average (arithmetic mean) of x and y is 7, and the average of x, y, and z is 10. What is the value of z?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"0.9",
      "B":"1.4",
      "C":"9",
      "D":"14",
      "E":"90"
    },
    "exam":"source1",
    "id":10060,
    "originalQuestionNumber":5,
    "question":"If \\(0.4x + 2 = 5.6\\), what is the value of x?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"0",
      "B":"1",
      "C":"2",
      "D":"3",
      "E":"4"
    },
    "exam":"source1",
    "id":10061,
    "originalQuestionNumber":7,
    "question":"After 4 apples were added to a sack, there were 3 times as many apples in the sack as before. How many apples were in the sack before the addition?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\$20",
      "B":"\\$35",
      "C":"\\$40",
      "D":"\\$65",
      "E":"\\$80"
    },
    "exam":"source1",
    "id":10062,
    "originalQuestionNumber":10,
    "question":"Hillary buys a television on a 12-month installment plan. If each of her first three installments is twice as much as each of her nine remaining installments, and her total payment is $600, how much is her first installment?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"III only",
      "D":"I and III only",
      "E":"I, II and III"
    },
    "exam":"source2",
    "id":10063,
    "originalQuestionNumber":6,
    "question":"If a, b, and c are positive and \\(a^ { -2 } b^2c^2 > a^ { -3 } b^3c^2\\), which of the following must be true? I. \\(a > b\\) II. \\(a > c\\) III. \\(b > c\\)",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(3(b - 12) = 9\\)",
      "B":"\\(12 - 3b = 9\\)",
      "C":"\\(3b - 12 = 9\\)",
      "D":"\\(12b - 3 = 9\\)",
      "E":"\\(12 + 3b = 9\\)"
    },
    "exam":"source1",
    "id":10066,
    "originalQuestionNumber":1,
    "question":"Which of the following is an equation equivalent to the statement ``12 less than the product of 3 and b is 9''?",
    "sectionLength":18,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"50",
      "B":"100",
      "C":"200",
      "D":"300",
      "E":"400"
    },
    "exam":"source5",
    "id":10068,
    "originalQuestionNumber":12,
    "question":"Two cylindrical tanks have the same height, but the radius of one tank equals the diameter of the other. If the volume of the larger is \\(k\\%\\) more than the volume of the smaller, \\(k\\) =",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(f(8)\\)",
      "B":"\\(f(4)\\)",
      "C":"\\(f(0)\\)",
      "D":"\\(f(-4)\\)",
      "E":"\\(f(-8)\\)"
    },
    "exam":"source6",
    "id":10069,
    "originalQuestionNumber":8,
    "question":"If \\(f(x) = |x - 4|\\) , which of the following has the LEAST value?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"28",
      "B":"42",
      "C":"58",
      "D":"78",
      "E":"108"
    },
    "exam":"source5",
    "id":10070,
    "originalQuestionNumber":2,
    "question":"What is the value of \\(2x^2 - 3x - 7\\) when \\(x = -5\\) ?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"The company charges \\$12 per hour for each landscaper.",
      "B":"A minimum of 12 landscapers will work on each job.",
      "C":"The price of every job increases by \\$12 every hour.",
      "D":"Each landscaper works 12 hours a day."
    },
    "exam":"source7",
    "id":10071,
    "originalQuestionNumber":3,
    "question":"A landscaping company estimates the price of a job, in dollars, using the expression 60 + 12nh, where n is the number of landscapers who will be working and h is the total number of hours the job will take using n landscapers. Which of the following is the best interpretation of the number 12 in the expression?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"2",
      "B":"10",
      "C":"20",
      "D":"40",
      "E":"160"
    },
    "exam":"source1",
    "id":10073,
    "originalQuestionNumber":5,
    "question":"The number of turtles in Mosquito Pond has doubled every three years since the pond was discovered. The number of turtles in the pond can be described as \\(n = (x)2^{\\frac{t}{3}}\\), where t is the number of years since the pond was discovered, n is the number of turtles in the pond at time t, and x is the number of turtles in the pond when it was discovered. If there were 160 turtles in Mosquito Pond nine years after it was discovered, then how many turtles lived in the pond the year it was discovered?",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"4",
      "B":"6",
      "C":"7",
      "D":"24",
      "E":"42"
    },
    "exam":"source6",
    "id":10077,
    "originalQuestionNumber":8,
    "question":"How many lines can be drawn from one vertex of a cube to the other vertices of the cube, such that the lines are not parallel to any edge of the cube?",
    "sectionLength":20,
    "sectionNumber":5,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(cd + 1\\)",
      "B":"\\((-cd)^2\\)",
      "C":"\\(d(c - 2)\\)",
      "D":"\\((c - 1)(d - 1)\\)",
      "E":"\\((c + 1)(d + 1)\\)"
    },
    "exam":"source6",
    "id":10079,
    "originalQuestionNumber":7,
    "question":"For any two distinct negative integers c and d, which of the following must be less than \\(cd\\) ?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(4 \\times 4 \\div 4 + 4\\)",
      "B":"\\(4 \\div 4 \\times 4 + 4 \\)",
      "C":"\\(4 \\times 4 - 4 \\times 4\\)",
      "D":"\\(4 \\div 4 + 4 \\times 4\\)",
      "E":"\\(4 + 4 \\times 4 - 4\\)"
    },
    "exam":"source5",
    "id":10080,
    "originalQuestionNumber":3,
    "question":"Which of the following expressions has the greatest value?",
    "sectionLength":16,
    "sectionNumber":9,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"The total number of students with 4 siblings is expected to be equal at the two schools.",
      "B":"The total number of students with 4 siblings at Lincoln School is expected to be 30 more than at Washington School.",
      "C":"The total number of students with 4 siblings at Washington School is expected to be 30 more than at Lincoln School.",
      "D":"The total number of students with 4 siblings at Washington School is expected to be 900 more than at Lincoln School."
    },
    "exam":"source7",
    "id":10081,
    "originalQuestionNumber":20,
    "question":"A sociologist chose 300 students at random from each of two schools and asked each student how many siblings he or she has. The results are shown in the table below. \\{SATSampleTest2-7\\} There are a total of 2,400 students at Lincoln School and 3,300 students at Washington School. Based on the survey data, which of the following most accurately compares the expected total number of students with 4 siblings at the two schools?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"5",
      "B":"6",
      "C":"7",
      "D":"8",
      "E":"9"
    },
    "exam":"source6",
    "id":10083,
    "originalQuestionNumber":8,
    "question":"Sequence Y: 5, 10, 15, ... Sequence Z: 3, 6, 12, ... The first term in Sequence Y is 5, and each term after the first is 5 more than the preceding term. The first term in sequence Z is 3, and each term after the first is 2 times the preceding term. What is the least value of x such that the xth term of Sequence Z is more than three times the xth term of Sequence Y?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"1 : 35",
      "B":"1 : 7",
      "C":"2 : 7",
      "D":"5 : 7",
      "E":"4 : 5"
    },
    "exam":"source6",
    "id":10084,
    "originalQuestionNumber":11,
    "question":"A square, stained-glass window pane is composed of 36 individual squares of colored glass. Some individual squares are red and others are blue. Which of the following is NOT a possible ratio of red to blue squares in the window?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"4",
      "B":"5",
      "C":"6",
      "D":"7",
      "E":"8"
    },
    "exam":"source1",
    "id":10087,
    "originalQuestionNumber":8,
    "question":"Set C is made up of a series of consecutive integers whose sum is a positive even number. If the smallest number in the set is \\(-2\\), what is the least possible number of integers that could be in the set?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"32",
      "B":"34",
      "C":"36",
      "D":"38",
      "E":"40"
    },
    "exam":"source1",
    "id":10088,
    "originalQuestionNumber":1,
    "question":"If \\(4x + 2 = 26\\), then \\(4x + 8 =\\)",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(\\frac { y } { 5 } \\)",
      "B":"\\(\\frac { 2y } { 5 } \\)",
      "C":"\\(\\frac { 5y } { 2 } \\)",
      "D":"\\(\\frac { 7y } { 5 } \\)",
      "E":"\\(5y\\)"
    },
    "exam":"source6",
    "id":10089,
    "originalQuestionNumber":10,
    "question":"There are y sculptures in a gallery. If one is to be selected at random from the collection, the probability that a bronze statue will be selected is \\(\\frac { 2 } { 5 } \\). In terms of \\(y\\), how many of the sculptures are bronze statues?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"the area of the square",
      "B":"twice the area of the square",
      "C":"\\(\\frac { 1 } { 2 } \\) the area of the square",
      "D":"4 times the area of the square",
      "E":"\\(\\frac { 1 } { 4 } \\) the area of the square"
    },
    "exam":"source5",
    "id":10091,
    "originalQuestionNumber":7,
    "question":"If \\(d\\) is the length of a diagonal of a square, what does \\(d^2\\) represent?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(12p\\)",
      "B":"\\(14p\\)",
      "C":"\\(16p\\)",
      "D":"\\(18p\\)",
      "E":"\\(20p\\)"
    },
    "exam":"source2",
    "id":10093,
    "originalQuestionNumber":13,
    "question":"James spent \\(\\frac { 3 } { 4 } \\) of his allowance on a music CD. He spent \\(\\frac { 2 } { 3 } \\) of what was left on a hamburger. If this left him \\(p\\) dollars, which of the following was his allowance in dollars?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"-4",
      "B":"2",
      "C":"3",
      "D":"4",
      "E":"6"
    },
    "exam":"source6",
    "id":10094,
    "originalQuestionNumber":1,
    "question":"If \\( 6\\frac { a } { b } + 3 = 21\\) , what is the value of \\(\\frac { a } { b } \\) ?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"III only",
      "D":"II and III only",
      "E":"I, II, and III"
    },
    "exam":"source1",
    "id":10095,
    "originalQuestionNumber":15,
    "question":"If \\(a < b < 0 < c\\), which of the following must be true? I. \\(-b > -a\\) II. \\(a + c < b + c\\) III. \\(a + b < c\\)",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(2 + \\frac{1}{2}\\)",
      "B":"\\(2 - \\frac{1}{2}\\)",
      "C":"\\(\\frac{1}{2} - 2\\)",
      "D":"\\(2 \\times \\frac{1}{2}\\)",
      "E":"\\(2 \\div \\frac{1}{2}\\)"
    },
    "exam":"source1",
    "id":10096,
    "originalQuestionNumber":4,
    "question":"Of the following numbers, which is least?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(-4\\)",
      "B":"\\(-2\\)",
      "C":"0",
      "D":"3",
      "E":"4"
    },
    "exam":"source1",
    "id":10097,
    "originalQuestionNumber":5,
    "question":"What is the y-intercept of the linear equation \\(3y - 33x = 12\\)?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"None",
      "B":"One",
      "C":"Three",
      "D":"Four",
      "E":"More than four"
    },
    "exam":"source6",
    "id":10098,
    "originalQuestionNumber":14,
    "question":"If the set of four integers \\(n\\), \\(2n\\), \\(n + 2n\\), and \\(n + 4n\\) consists only of prime numbers, then the set is called a \"prime convergence\". How many such sets exist?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"0",
      "B":"1",
      "C":"4",
      "D":"6",
      "E":"7"
    },
    "exam":"source1",
    "id":10099,
    "originalQuestionNumber":13,
    "question":"If the fraction \\(\\frac{1}{21}\\) equals the repeating decimal 0.0476190476190..., what is the 51st digit after the decimal point of the repeating decimal?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(k > 2\\)",
      "B":"\\(k \\leq 2\\)",
      "C":"\\(1 < k < 2\\)",
      "D":"\\(0 < k < 2\\)",
      "E":"\\(0 \\leq k \\leq 2\\)"
    },
    "exam":"source2",
    "id":10102,
    "originalQuestionNumber":3,
    "question":"If \\(\\frac { 1 } { k } > \\frac { 1 } { 2 } \\), then which of the following must be true?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(3^ { 3k } \\)",
      "B":"\\(3^ { k + 2 } \\)",
      "C":"\\(3^ { k + 1 } \\)",
      "D":"\\(9^ { 2k } \\)",
      "E":"\\(9^ { 3k } \\)"
    },
    "exam":"source2",
    "id":10104,
    "originalQuestionNumber":10,
    "question":"If \\(k\\) is a positive integer, which of the following is equivalent to \\(3^k + 3^k + 3^k\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"20",
      "B":"27",
      "C":"32",
      "D":"33",
      "E":"40"
    },
    "exam":"source1",
    "id":10107,
    "originalQuestionNumber":2,
    "question":"The average (arithmetic mean) of 7,20, and x is 20. What is the value of x ?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"2",
      "B":"4",
      "C":"6",
      "D":"8",
      "E":"10"
    },
    "exam":"source2",
    "id":10108,
    "originalQuestionNumber":1,
    "question":"If \\(4(x + y) - 2(x + y) = 12\\), then \\(x + y =\\)",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(-p\\)",
      "B":"\\(-q\\)",
      "C":"\\(pq\\)",
      "D":"2",
      "E":"1"
    },
    "exam":"source2",
    "id":10109,
    "originalQuestionNumber":15,
    "question":"If \\(p < q < 0\\), which of the following must be less than \\(\\frac { p } { q } \\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(\\frac { a^2 } { b^2 } \\)",
      "B":"\\(\\frac { a^3 } { b^3 } \\)",
      "C":"\\(\\frac { 1 } { a } b\\)",
      "D":"\\(\\frac { a } { 5 } \\frac { b } { 5 } \\)",
      "E":"\\(\\frac { a + 1 } { b + 1 } \\)"
    },
    "exam":"source6",
    "id":10110,
    "originalQuestionNumber":8,
    "question":"If \\(ab \\neq 0\\), which of the following must equal \\(\\frac { a } { b } \\) ?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(\\frac { (x + 5)^3 } { 2 } \\)",
      "B":"\\((\\frac { x + 5 } { 2 } )^3\\)",
      "C":"\\(2(x + 5)^3\\)",
      "D":"\\(4(x + 5)^3\\)",
      "E":"\\(8(x + 5)^3\\)"
    },
    "exam":"source5",
    "id":10112,
    "originalQuestionNumber":19,
    "question":"If \\(x = 2y - 5\\) and \\(z = 16y^3\\), what is \\(z\\) in terms of \\(x\\)?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"The 18th",
      "B":"The 36th",
      "C":"The 39th",
      "D":"The 40th",
      "E":"The 41st"
    },
    "exam":"source2",
    "id":10114,
    "originalQuestionNumber":4,
    "question":"\\begin { gather* } 4, 11, 18, 25, ...\\end { gather* } The first four terms in a sequence are shown above. Each term after the first is found by adding 7 to the preceding term. Which term in the sequence is equal to \\(4 + 40 \\times 7\\) ?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"0",
      "B":"\\(\\frac { 1 } { 2 } \\)",
      "C":"1",
      "D":"\\(\\frac { 3 } { 2 } \\)",
      "E":"5"
    },
    "exam":"source2",
    "id":10115,
    "originalQuestionNumber":1,
    "question":"If \\(x = 5 + y\\) and \\(x = 5 - y\\), what is the value of \\(y\\) ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"1",
      "B":"2",
      "C":"10",
      "D":"14",
      "E":"24"
    },
    "exam":"source1",
    "id":10116,
    "originalQuestionNumber":4,
    "question":"In the equation \\(y = kx\\), \\(x = 4\\) when \\(y = 6\\) and k is a constant. What is the value of y when \\(x = 16\\)?",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"III only",
      "D":"I and III",
      "E":"I, II and III"
    },
    "exam":"source6",
    "id":10117,
    "originalQuestionNumber":14,
    "question":"Points L, M, and N lie in a plane. If the distance between L and M is 4, and the distance between M and N is 9, which of the following could be the distance between L and N? I. 5 II. 8 III. 13",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(6\\pi\\)",
      "B":"\\(18\\pi\\)",
      "C":"\\(18 \\sqrt { 2 } \\pi\\)",
      "D":"\\(36\\pi\\)",
      "E":"\\(72\\pi\\)"
    },
    "exam":"source6",
    "id":10118,
    "originalQuestionNumber":20,
    "question":"What is the area of a circle that is circumscribed around a square that has sides of length 6?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"1",
      "B":"2",
      "C":"4",
      "D":"\\(\\pi\\)",
      "E":"\\(2\\pi\\)"
    },
    "exam":"source5",
    "id":10119,
    "originalQuestionNumber":8,
    "question":"If the circumference of a circle is equal to the perimeter of a square whose sides are \\(7t\\), what is the radius of the circle?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"2",
      "B":"4",
      "C":"5",
      "D":"6",
      "E":"8"
    },
    "exam":"source2",
    "id":10120,
    "originalQuestionNumber":18,
    "question":"If \\(2^a = k\\), \\(k^b = m\\), and \\(m^c = 16\\), what is the value of \\(a \\dot b \\dot c\\) ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"6",
      "B":"15",
      "C":"20",
      "D":"23"
    },
    "exam":"source7",
    "id":10121,
    "originalQuestionNumber":2,
    "question":"If y = kx, where k is a constant, and y = 24 when x = 6, what is the value of y when x = 5?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"24p",
      "B":"48p",
      "C":"\\(2p^{24}\\)",
      "D":"\\((2p)^{24}\\)",
      "E":"\\((2^{24})p\\)"
    },
    "exam":"source1",
    "id":10123,
    "originalQuestionNumber":8,
    "question":"The initial number of elements in a certain set is p, where \\(p > 0\\). If the number of elements in the set doubles every hour, which of the following represents the total number of elements in the set after exactly 24 hours?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"8",
      "B":"14",
      "C":"20",
      "D":"32",
      "E":"44"
    },
    "exam":"source6",
    "id":10124,
    "originalQuestionNumber":1,
    "question":"If \\(3a + 3b + c = 26\\) and \\(a + b = 6\\), then \\(c\\) =",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"8",
      "B":"4",
      "C":"\\(2\\sqrt{2}\\)",
      "D":"2",
      "E":"\\(\\sqrt{2}\\)"
    },
    "exam":"source1",
    "id":10128,
    "originalQuestionNumber":1,
    "question":"If \\(2\\sqrt{4n^2} + 7 = 39\\), what is the value of n?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(6^2\\)",
      "B":"\\(7^2\\)",
      "C":"\\(13^2\\)",
      "D":"\\(24^2\\)",
      "E":"\\(42^2\\)"
    },
    "exam":"source1",
    "id":10129,
    "originalQuestionNumber":2,
    "question":"If \\(\\frac{a^2}{2 \\times 3} = 6 \\times 49\\), what is the value of \\(a^2\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"0",
      "B":"1",
      "C":"2",
      "D":"3",
      "E":"4"
    },
    "exam":"source1",
    "id":10130,
    "originalQuestionNumber":6,
    "question":"If \\(c(x) = x^2 - 6\\), how many times does the graph of \\(c(x)\\) cross the x-axis?",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(\\frac{10s}{w}\\)\\%",
      "B":"\\(\\frac{10}{s + w}\\)\\%",
      "C":"\\(\\frac{s + w}{10}\\)\\%",
      "D":"\\(\\frac{10s}{s + w}\\)\\%",
      "E":"\\(\\frac{s}{10(s + w)}\\)\\%"
    },
    "exam":"source1",
    "id":10131,
    "originalQuestionNumber":15,
    "question":"A certain brand of soup contains 10 percent tomato paste by volume. Which of the following expressions represents the percent of tomato paste by volume in a mixture of s cups of soup and w cups of water?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"6",
      "B":"8",
      "C":"10",
      "D":"11",
      "E":"13"
    },
    "exam":"source1",
    "id":10132,
    "originalQuestionNumber":16,
    "question":"A certain company employs 25 women and 25 men. Some employees drive to work and the rest take public transportation. If 29 employees drive to work, and exactly 6 men take public transportation, how many women drive to work?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"1",
      "B":"2",
      "C":"3",
      "D":"5",
      "E":"6"
    },
    "exam":"source2",
    "id":10133,
    "originalQuestionNumber":9,
    "question":"When positive integers \\(a\\) and \\(b\\) are divided by 7, the remainders are 4 and 2 respectively. If \\(ab\\) is divided by 7, what is the remainder?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\$960",
      "B":"\\$480",
      "C":"\\$300",
      "D":"\\$240"
    },
    "exam":"source7",
    "id":10134,
    "originalQuestionNumber":4,
    "question":"The amount of money a performer earns is directly proportional to the number of people attending the performance. The performer earns \\$120 at a performance where 8 people attend. How much money will the performer earn when 20 people attend a performance?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(r\\)",
      "B":"\\(s\\)",
      "C":"\\(2s\\)",
      "D":"\\(2r\\)",
      "E":"2"
    },
    "exam":"source6",
    "id":10136,
    "originalQuestionNumber":18,
    "question":"If \\(r\\) is a positive even integer and \\(s\\) is a prime integer, then all of the following are factors of \\(rs\\) EXCEPT",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"-30",
      "B":"-14",
      "C":"-10",
      "D":"0",
      "E":"10"
    },
    "exam":"source6",
    "id":10139,
    "originalQuestionNumber":10,
    "question":"If \\(|3x - 6| = 36\\), what is one possible value of \\(x\\) ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(\\lbrace 1, 3, 5, 7\\rbrace\\)",
      "B":"\\(\\lbrace 1, 3, 5, 7, 9\\rbrace\\)",
      "C":"\\(\\lbrace 2, 3, 5, 7\\rbrace\\)",
      "D":"\\(\\lbrace 3, 5, 7\\rbrace\\)",
      "E":"\\(\\lbrace 3, 5, 7, 9\\rbrace\\)"
    },
    "exam":"source6",
    "id":10140,
    "originalQuestionNumber":18,
    "question":"If the members of set A are all the odd single-digit positive integers and the members of set B are all the prime integers, which of the following is the set of numbers common to both set A and set B ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"1,000(1 + \\frac{5 - 3}{1,200})^{12}",
      "B":"1,000(1 + \\frac{\\frac{5}{3}}{1,200})^{12}",
      "C":"\\frac{1,000(1 + \\frac{5}{1,200})^{12}}{1,000(1 + \\frac{3}{1,200})^{12}}",
      "D":"1,000(1 + \\frac{5}{1,200})^{12} - 1,000(1 + \\frac{3}{1,200})^{12}"
    },
    "exam":"source7",
    "id":10142,
    "originalQuestionNumber":14,
    "question":"\\begin{gather} 1,000(1 + \\frac{r}{1,200})^{12} \\end{gather} The expression above gives the amount of money, in dollars, generated in a year by a \\$1,000 deposit in a bank account that pays an annual interest rate of r\\%, compounded monthly. Which of the following expressions shows how much additional money is  generated at an interest rate of 5\\% than at an interest rate of 3\\% ?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"x + y < 10",
      "B":"y > x + 10",
      "C":"y < x - 10",
      "D":"-10 < y - x < 10"
    },
    "exam":"source7",
    "id":10146,
    "originalQuestionNumber":21,
    "question":"A project manager estimates that a project will take x hours to complete, where x > 100. The goal is for the estimate to be within 10 hours of the time it will actually take to complete the project. If the manager meets the goal and it takes y hours to complete the project, which of the following inequalities represents the relationship between the estimated time and the actual completion time?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(\\frac { 3 } { 2 } \\)",
      "B":"2",
      "C":"\\(\\frac { 9 } { 4 } \\)",
      "D":"\\(\\frac { 3 \\sqrt { 3 } } { 2 } \\)",
      "E":"\\(2 \\sqrt { 3 } \\)"
    },
    "exam":"source6",
    "id":10147,
    "originalQuestionNumber":10,
    "question":"In square PQRS, point T is the midpoint of side \\(\\overline { QR } \\). If the area of PQRS is 3, what is the area of quadrilateral PQTS ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"1",
      "B":"\\(\\frac{19}{4}\\)",
      "C":"6",
      "D":"\\(\\frac{29}{4}\\)",
      "E":"19"
    },
    "exam":"source1",
    "id":10149,
    "originalQuestionNumber":1,
    "question":"If \\(4(x + 5) = 24\\), then what is the value of x?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"2",
      "B":"3",
      "C":"5",
      "D":"6",
      "E":"9"
    },
    "exam":"source1",
    "id":10150,
    "originalQuestionNumber":19,
    "question":"If m and n are positive integers and \\(2m + 3n = 15\\), what is the sum of all possible values of m ?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"1:1",
      "B":"2:3",
      "C":"3:4",
      "D":"4:3",
      "E":"2:1"
    },
    "exam":"source1",
    "id":10155,
    "originalQuestionNumber":8,
    "question":"If the perimeter of equilateral triangle E equals the perimeter of square S, what is the ratio of the length of a side of square S to the length of a side of triangle E?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"6",
      "B":"8",
      "C":"9",
      "D":"10",
      "E":"12"
    },
    "exam":"source2",
    "id":10156,
    "originalQuestionNumber":9,
    "question":"If it takes 10 people 18 hours to do a certain job, how many hours would it take 15 people, working at the same rate, to do \\(\\frac { 2 } { 3 } \\) of the same job?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"6",
      "B":"8",
      "C":"11",
      "D":"13",
      "E":"15"
    },
    "exam":"source1",
    "id":10157,
    "originalQuestionNumber":6,
    "question":"If \\(2x - 8\\), \\(x + 4\\), and \\(3x -13\\) are all integers, and \\(x + 4\\) is the median of these integers, which of the following could be a value of x?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"-4",
      "B":"-2",
      "C":"0",
      "D":"2",
      "E":"4"
    },
    "exam":"source6",
    "id":10158,
    "originalQuestionNumber":2,
    "question":"If \\(y < 0\\) and \\((x + 2)(y - 4) = 0\\), then \\(x\\) =",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\$200.00",
      "B":"\\$237.50",
      "C":"\\$230.00",
      "D":"\\$235.50",
      "E":"\\$280.00"
    },
    "exam":"source2",
    "id":10159,
    "originalQuestionNumber":8,
    "question":"Harry bought a bag of 10 pound flour for \\$80, a bag of 25 pound flour for \\$150 and a bag of 50 pound flour. If the average (arithmetic mean) cost of the flour in all three bags was \\$6.00 per pound, what was the price of the bag of 50 pound flour?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"1",
      "B":"3",
      "C":"5",
      "D":"7",
      "E":"9"
    },
    "exam":"source1",
    "id":10160,
    "originalQuestionNumber":7,
    "question":"If \\(f(x) = 3x - 8\\) and \\(g(x) = \\sqrt{2x^2 + 7}\\), what is the value of \\(f(g(3))\\)?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"less than 5",
      "B":"5",
      "C":"more than 5 but less than 10",
      "D":"10",
      "E":"more than 10"
    },
    "exam":"source5",
    "id":10162,
    "originalQuestionNumber":1,
    "question":"If Wally's Widget Works is open exactly 20 days each month and produces 80 widgets each day it is open, how many years will it take to produce 96,000 widgets?",
    "sectionLength":18,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"0.002",
      "B":"200",
      "C":"2,000",
      "D":"20,000"
    },
    "exam":"source7",
    "id":10163,
    "originalQuestionNumber":6,
    "question":"\\begin{gather} 1 decagram = 10 grams \\\\ 1,000 milligrams = 1 gram \\end{gather} A hospital stores one type of medicine in 2-decagram containers. Based on the information given in the box above, how many 1-milligram doses are there in one 2-decagram container?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"-15",
      "B":"-5",
      "C":"\\(\\frac { -15 } { 7 } \\)",
      "D":"5",
      "E":"15"
    },
    "exam":"source6",
    "id":10164,
    "originalQuestionNumber":2,
    "question":"If \\(5k + 8 = -7 + 2k\\), what is the value of \\(3k\\) ?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(t > s\\)",
      "B":"\\(s > t\\)",
      "C":"\\(t = s\\)",
      "D":"\\(t > 0\\) and \\(s > 0\\)",
      "E":"\\(t < 0\\) and \\(s < 0\\)"
    },
    "exam":"source6",
    "id":10165,
    "originalQuestionNumber":18,
    "question":"\\(ts < 0 < t - s\\) If the statement above is true, which of the following must also be true?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"20",
      "B":"25",
      "C":"30",
      "D":"40",
      "E":"50"
    },
    "exam":"source5",
    "id":10167,
    "originalQuestionNumber":9,
    "question":"Brigitte's average (arithmetic mean) on her six math tests this marking period is 75. Fortunately for Brigitte, her teacher drops each student's lowest grade, thus raising Brigitte's average to 85. What was her lowest grade?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"570",
      "B":"513",
      "C":"214",
      "D":"155"
    },
    "exam":"source7",
    "id":10173,
    "originalQuestionNumber":22,
    "question":"The sum of three numbers is 855. One of the numbers, x, is 50\\% more than the sum of the other two numbers. What is the value of x?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"2",
      "B":"4",
      "C":"5",
      "D":"7",
      "E":"9"
    },
    "exam":"source2",
    "id":10181,
    "originalQuestionNumber":8,
    "question":"If \\(m^ { 2a } x m^b = m^6\\) and \\(\\frac { m^a } { m^b } = \\frac { 1 } { m^3 } \\), what is the value of \\(a + b\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"Three",
      "B":"Four",
      "C":"Six",
      "D":"Eight",
      "E":"Nine"
    },
    "exam":"source6",
    "id":10182,
    "originalQuestionNumber":7,
    "question":"There are an equal number of dogs and cats at a clinic. After 2 dogs and 8 cats are taken home, there are three times as many dogs as cats still at the clinic. How many cats are still at the clinic?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"12",
      "B":"18",
      "C":"24",
      "D":"27",
      "E":"281"
    },
    "exam":"source1",
    "id":10183,
    "originalQuestionNumber":15,
    "question":"Four students reach into a bag of coins. Steve grabs \\(\\frac{1}{3}\\) of the coins, Joe grabs \\(\\frac{1}{4}\\), and Kyle grabs \\(\\frac{1}{6}\\). If Ryan gets the remaining 6 coins, how many coins were originally in the bag?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"100",
      "B":"180",
      "C":"198",
      "D":"199",
      "E":"200"
    },
    "exam":"source5",
    "id":10185,
    "originalQuestionNumber":8,
    "question":"Consider the sequence 1, 2, 3, 1, 2, 3, 1, 2, 3, ... . What is the sum of the first 100 terms?",
    "sectionLength":16,
    "sectionNumber":9,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"36",
      "B":"38",
      "C":"40",
      "D":"45",
      "E":"48"
    },
    "exam":"source1",
    "id":10186,
    "originalQuestionNumber":4,
    "question":"If \\(\\textcircled{x}\\) is defined by \\(\\textcircled{x} = 5x - \\frac{x}{2}\\), then \\(\\textcircled{8} = \\)",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"5",
      "B":"1",
      "C":"\\(\\frac{1}{3}\\)",
      "D":"\\(\\frac{1}{5}\\)",
      "E":"\\(-\\frac{1}{5}\\)"
    },
    "exam":"source1",
    "id":10189,
    "originalQuestionNumber":8,
    "question":"If \\(n < 3 < \\frac{1}{n}\\), then n could be which of the following?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(-\\frac { 1 } { 4 } \\)",
      "B":"\\(\\frac { 1 } { 4 } \\)",
      "C":"\\(\\frac { 1 } { 2 } \\)",
      "D":"0",
      "E":"2"
    },
    "exam":"source6",
    "id":10190,
    "originalQuestionNumber":4,
    "question":"If \\(\\frac { 2x } { x^2 + 1 } = \\frac { 2 } { x + 2 } \\), what is the value of \\(x\\) ?",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"0.125",
      "B":"0.5",
      "C":"1.25",
      "D":"5.0",
      "E":"12.5"
    },
    "exam":"source5",
    "id":10192,
    "originalQuestionNumber":2,
    "question":"What is 50\\% of 50\\% of 50?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(8a^2 + 6\\)",
      "B":"\\(8a^2 + 12\\)",
      "C":"\\(12a^2 + 6\\)",
      "D":"\\(18a^2 + 6\\)",
      "E":"\\(18a^2 + 12\\)"
    },
    "exam":"source6",
    "id":10193,
    "originalQuestionNumber":20,
    "question":"If \\(2a = 3b\\), \\(\\frac { 1 } { 3 } c = 6b^2 + 2\\), and \\(b > 0\\), what is \\(c\\) in terms of \\(a\\) ?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"32",
      "B":"34",
      "C":"36",
      "D":"38",
      "E":"40"
    },
    "exam":"source1",
    "id":10194,
    "originalQuestionNumber":1,
    "question":"If \\(4x + 2 = 26\\), then \\(4x + 8\\) =",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(\\frac{kd}{c}\\)",
      "B":"\\(\\frac{c}{dk}\\)",
      "C":"\\(dk + c\\)",
      "D":"\\(\\frac{dc}{k}\\)",
      "E":"\\((k - c)d\\)"
    },
    "exam":"source1",
    "id":10195,
    "originalQuestionNumber":16,
    "question":"If k friends contribute d dollars each, and that money is distributed equally among c number of charities, how much money is received by each charity?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(2^yb\\)",
      "B":"\\(2^ { 4y - 3 } b\\)",
      "C":"\\(2^ { 4y } b\\)",
      "D":"\\(2b^ { 4y + 3 } \\)",
      "E":"\\(2^yb^ { y + 2 } \\)"
    },
    "exam":"source6",
    "id":10196,
    "originalQuestionNumber":15,
    "question":"The number of baseball cards in Caleb's collection doubles every three months. If after 9 months he has b baseball cards, then which of the following is an expression for the number of baseball cards in his collection after y years?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"None",
      "B":"I only",
      "C":"III only",
      "D":"I and II",
      "E":"II and III"
    },
    "exam":"source1",
    "id":10198,
    "originalQuestionNumber":6,
    "question":"If \\(p < q\\), \\(r < s\\), and \\(r < q\\), which of the following must be true? I. \\(p < s\\) II. \\(s < q\\) III. \\(r < p\\)",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"260",
      "B":"295",
      "C":"325",
      "D":"360",
      "E":"405"
    },
    "exam":"source6",
    "id":10200,
    "originalQuestionNumber":5,
    "question":"The number of students who order hot lunch by the month at the Tucker Elementary School varies directly with the number of times pizza appears on the lunch menu during that month. If 135 students order hot lunch when pizza appears three times on the menu, how many students order hot lunch when pizza appears eight times on the menu?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"2",
      "B":"\\(\\frac{b}{a}\\)",
      "C":"\\(\\frac{1}{\\frac{a}{b}}\\)",
      "D":"\\(\\frac{a}{2b}\\)",
      "E":"\\(\\frac{2a}{b}\\)"
    },
    "exam":"source1",
    "id":10202,
    "originalQuestionNumber":10,
    "question":"If \\(b > a > 0\\), which of the following is less than \\(\\frac{a}{b}\\)?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"90",
      "B":"100",
      "C":"200",
      "D":"250",
      "E":"300"
    },
    "exam":"source1",
    "id":10204,
    "originalQuestionNumber":2,
    "question":"There are nine classrooms in a particular school. Each classroom has at least 24 students and at most 30 students. Which of the following could be the total number of students in the school?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"III only",
      "D":"I and II only",
      "E":"II and III only"
    },
    "exam":"source2",
    "id":10206,
    "originalQuestionNumber":17,
    "question":"If exactly two of the three integers a,b, and c are odd, which of the following must be odd? I. \\(a + bc\\) II. \\(\\frac { ab } { c } \\) III. \\(a(b + c)\\)",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(\\frac{1}{4}\\)",
      "B":"\\(\\frac{1}{\\pi}\\)",
      "C":"\\(\\frac{1}{3}\\)",
      "D":"\\(\\frac{\\pi}{4}\\)",
      "E":"\\(\\frac{\\pi}{3}\\)"
    },
    "exam":"source1",
    "id":10207,
    "originalQuestionNumber":8,
    "question":"The center of a circle is at the origin of a rectangular coordinate plane. If the points \\((-3,0)\\), \\((0,3)\\), and \\((3,0)\\) are on the circumference of the circle, what is the probability that a randomly selected point from within the circle will fall within the triangle formed by those three points?",
    "sectionLength":18,
    "sectionNumber":4,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"III only",
      "D":"I and II only",
      "E":"I, II and III"
    },
    "exam":"source6",
    "id":10208,
    "originalQuestionNumber":9,
    "question":"If x, y, and z are consecutive positive integers and \\(x < y < z\\), which of the following could be true? I. \\(y = 2x\\) II. \\(z = 2x\\) III. \\(z = 2y\\)",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"30",
      "B":"35",
      "C":"40",
      "D":"50",
      "E":"80"
    },
    "exam":"source2",
    "id":10211,
    "originalQuestionNumber":2,
    "question":"Ten to fifteen tires out of 300 are defective. If there are 1800 tires in a shipment, which of the following could be the number of defective tires?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"-4",
      "B":"-2",
      "C":"0",
      "D":"2",
      "E":"4"
    },
    "exam":"source2",
    "id":10212,
    "originalQuestionNumber":1,
    "question":"If \\(|x - 5| = 2x - 1\\), which of the following is the value of \\(x\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"All negative numbers",
      "B":"All negative numbers between -1 and O",
      "C":"All positive numbers less than 1",
      "D":"All positive numbers greater than 1",
      "E":"All positive numbers"
    },
    "exam":"source6",
    "id":10213,
    "originalQuestionNumber":6,
    "question":"If \\(a < -1\\) and \\(-1 < b < 0\\), what are all of the possible values of \\(ab\\) ?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"Only one apple is drawn.",
      "B":"Only one orange is drawn.",
      "C":"Two apples are drawn.",
      "D":"At least two bananas are drawn.",
      "E":"At least two apples are drawn."
    },
    "exam":"source1",
    "id":10215,
    "originalQuestionNumber":3,
    "question":"Fruit 1 is an apple. Fruit 5 is the same as fruit 2. Fruit 2 is an orange. Fruit 6 is a banana. Fruit 3 is not an apple. Fruit 7 is not a banana. Fruit 4 is the same as fruit 1. If a bag contains 20 pieces of fruit of three types (apples, oranges, bananas), and 7 pieces of fruit are chosen according to the rules above, which of the following must be true?",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(-5\\)",
      "B":"\\(-2\\)",
      "C":"1",
      "D":"5",
      "E":"8"
    },
    "exam":"source1",
    "id":10218,
    "originalQuestionNumber":3,
    "question":"If t is 5 more than s, and s is 3 less than r, what is t when \\(r = 3\\)?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"5",
      "B":"10",
      "C":"15",
      "D":"\\(20\\sqrt{2}\\)",
      "E":"\\(20\\sqrt{3}\\)"
    },
    "exam":"source1",
    "id":10219,
    "originalQuestionNumber":6,
    "question":"A ladder is placed against a building such that the top of the ladder forms an angle of 30 degrees with the side of the building. If the ladder is 20 feet long, how far in feet is the bottom of the ladder from the base of the building?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"III only",
      "D":"I and II only",
      "E":"I,II and III"
    },
    "exam":"source2",
    "id":10223,
    "originalQuestionNumber":20,
    "question":"If \\(\\frac { a } { b } \\) is negative, which of the following must be positive? I. \\((a + b)(a - b)\\) II. \\(1 - ab\\) III. \\(\\frac { b - a } { a } \\)",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(600t + 400\\)",
      "B":"\\(\\frac { t - 400 } { 60 } \\)",
      "C":"\\(\\frac { 60 } { t - 400 } \\)",
      "D":"\\(\\frac { 60t } { 400 } \\)",
      "E":"\\(\\frac { 400t } { 60 } \\)"
    },
    "exam":"source2",
    "id":10225,
    "originalQuestionNumber":8,
    "question":"A fashion designer's total expenses \\(E\\), in dollars, of the number of garments is given by \\(E(n) = 6011 + 400\\), where \\(n\\) is the number of garments. If the total expenses are \\(t\\) dollars, what is the value of \\(n\\) in terms of \\(t\\) ?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"8",
      "B":"12",
      "C":"16",
      "D":"24",
      "E":"10 + 2\\(\\sqrt { 2 } \\)"
    },
    "exam":"source5",
    "id":10226,
    "originalQuestionNumber":7,
    "question":"What is the area of the quadrilateral whose vertices are at (1, 1), (5, 1), (5, 5) and (3, 5)?",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"16",
      "B":"21",
      "C":"23",
      "D":"26"
    },
    "exam":"source7",
    "id":10227,
    "originalQuestionNumber":24,
    "question":"Mr. Kohl has a beaker containing n milliliters of solution to distribute to the students in his chemistry class. If he gives each student 3 milliliters of solution, he will have 5 milliliters left over. In order to give each student 4 milliliters of solution, he will need an additional 21 milliliters. How many students are in the class?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(\\frac { wp } { 60 } \\)",
      "B":"\\(\\frac { w } { 60p } \\)",
      "C":"\\(\\frac { 60p } { w } \\)",
      "D":"\\(\\frac { 60 } { wp } \\)",
      "E":"\\(\\frac { 60w } { p } \\)"
    },
    "exam":"source6",
    "id":10228,
    "originalQuestionNumber":7,
    "question":"If \\(p\\) items can be purchased for 60 dollars, how many items can be purchased for \\(w\\) dollars?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(k + 2\\)",
      "B":"\\(3k\\)",
      "C":"\\(3k + 2\\)",
      "D":"\\(k(k - 1)\\)",
      "E":"\\((k + 1)(k - 1)\\)"
    },
    "exam":"source6",
    "id":10232,
    "originalQuestionNumber":3,
    "question":"If \\(k\\) is an even integer, which of the following must be an odd integer?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"3",
      "B":"5.7",
      "C":"9.5",
      "D":"14.3"
    },
    "exam":"source7",
    "id":10233,
    "originalQuestionNumber":6,
    "question":"\\begin{gather} h = 3a + 28.6 \\end{gather} A pediatrician uses the model above to estimate the height h of a boy, in inches, in terms of the boy's age a, in years, between the ages of 2 and 5. Based on the model, what is the estimated increase, in inches, of a boy's height each year?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"diagram1519.png",
      "B":"diagram10.png",
      "C":"diagram1443.png",
      "D":"diagram1112.png"
    },
    "exam":"source7",
    "id":10234,
    "originalQuestionNumber":12,
    "question":"If the function f has five distinct zeros, which of the following could represent the complete graph of f in the xy-plane?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"-16",
      "B":"-3",
      "C":"3",
      "D":"16"
    },
    "exam":"source7",
    "id":10236,
    "originalQuestionNumber":13,
    "question":"The equation \\frac{24x^2 + 25x - 47}{ax - 2} = -8x - 3 - \\frac{53}{ax - 2} is true for all values of x \\neq \\frac{2}{a}, where a is a constant. What is the value of a?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"11:00 AM",
      "B":"1:00 PM",
      "C":"5:00 PM",
      "D":"6:00 PM",
      "E":"11:00 PM"
    },
    "exam":"source1",
    "id":10239,
    "originalQuestionNumber":10,
    "question":"At 2 PM in Littleville, New York, it is 7 PM in Williamshire, England. A satellite orbiting Earth is visible in Littleville at 7 AM (Littleville time) but does not cross the sky over Williamshire until 6 PM (Williamshire time). A second satellite is seen over Williamshire at noon (Williamshire time) and takes the same amount of time to become visible in Littleville. When, in Littleville time, does the second satellite become visible?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"2,250",
      "B":"1,975",
      "C":"1,800",
      "D":"950",
      "E":"150"
    },
    "exam":"source6",
    "id":10241,
    "originalQuestionNumber":8,
    "question":"One-half of the water in a pond evaporates each week. There are 2,400 gallons of water in the pond at the end of the third week. In gallons, how much less water is in the pond at the end of seventh week than at the end of the third week?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(\\frac { 22 } { 3 } \\)",
      "B":"\\(x^2 - x - 12\\)",
      "C":"\\(x^2 + \\frac { 4 } { 3 } x + 4\\)",
      "D":"\\(\\frac { 2x + 4 } { x + 1 } \\)",
      "E":"\\(\\frac { 2x - 4 } { x - 1 } \\)"
    },
    "exam":"source6",
    "id":10243,
    "originalQuestionNumber":8,
    "question":"If \\(f(x) = 2x^2 - 4x - 16\\) and \\(g(x) = x^2 - 3x - 4\\), which of the following is an expression for \\(\\frac { f(x) } { g(x) } \\) ?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"5",
      "B":"6",
      "C":"7",
      "D":"8",
      "E":"9"
    },
    "exam":"source2",
    "id":10244,
    "originalQuestionNumber":14,
    "question":"In \\(\\triangle { ABC } \\), the length of \\(AB\\) is \\(x\\) and the length of \\(BC\\) is \\(x + 5\\). If the length of \\(AC\\) is 16, what is the smallest possible integer value of \\(x\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[

    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(-\\frac { 5 } { 2 } \\)",
      "B":"-1",
      "C":"\\(-\\frac { 2 } { 5 } \\)",
      "D":"\\(\\frac { 2 } { 5 } \\)",
      "E":"\\(\\frac { 5 } { 2 } \\)"
    },
    "exam":"source6",
    "id":10245,
    "originalQuestionNumber":9,
    "question":"If \\(\\frac { a + b } { a - b } = \\frac { 3 } { 7 } \\), what is the value of \\(\\frac { a } { b } \\) ?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"The total cost of the project",
      "B":"The total cost of the materials",
      "C":"The total daily cost of the project",
      "D":"The total daily rental costs of the tools"
    },
    "exam":"source7",
    "id":10246,
    "originalQuestionNumber":17,
    "question":"Mr. Martinson is building a concrete patio in his backyard and deciding where to buy the materials and rent the tools needed for the project. The table below shows the materials' cost and daily rental costs for three different stores. \\{SATSampleTest4-12\\} The total cost, y, for buying the materials and renting the tools in terms of the number of days, x, is given by y = M + (W + K)x. If the relationship between the total cost, y, of buying the materials and renting the tools at Store C and the number of days, x, for which the tools are rented is graphed in the xy-plane, what does the slope of the line represent?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"-2",
      "B":"-1",
      "C":"0",
      "D":"1",
      "E":"2"
    },
    "exam":"source2",
    "id":10247,
    "originalQuestionNumber":7,
    "question":"If\\( x^2 = 3\\), what is the value of \\(\\frac { 1 } { x } + 1 - \\frac { 1 } { x } - 1\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"x = 1 only",
      "B":"x = -1 only",
      "C":"x = 0 or x = 1",
      "D":"x = 1 or x = -1",
      "E":"x = O or x = -1"
    },
    "exam":"source2",
    "id":10249,
    "originalQuestionNumber":4,
    "question":"For what value of \\(x\\) does \\((x-1)^3 = x^3 - 1\\) ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"December 14",
      "B":"December 15",
      "C":"December 18",
      "D":"December 20",
      "E":"December 22"
    },
    "exam":"source1",
    "id":10250,
    "originalQuestionNumber":7,
    "question":"At a certain company, the annual Winter Party is always held on the second Friday of December. What is the latest possible date for the party?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"One",
      "B":"Two",
      "C":"Three",
      "D":"Four",
      "E":"More than four"
    },
    "exam":"source2",
    "id":10251,
    "originalQuestionNumber":4,
    "question":"\\begin { gather* } |k^2 - 2| = 2 \\end { gather* }  For how many integer values of k is the equation above true?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"diagram929.eps",
      "B":"diagram839.eps",
      "C":"diagram188.eps",
      "D":"diagram219.eps",
      "E":"diagram1584.eps"
    },
    "exam":"source6",
    "id":10253,
    "originalQuestionNumber":12,
    "question":"If six less than four times a number is greater than or equal to -2, which of the following represents all possible values of that number?",
    "sectionLength":14,
    "sectionNumber":8,
    "tags":[
      "other"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"0.88p",
      "B":"\\frac{p}{0.88}",
      "C":"(0.8)(1.08)p",
      "D":"\\frac{p}{(0.8)(1.08)}"
    },
    "exam":"source7",
    "id":10255,
    "originalQuestionNumber":20,
    "question":"Alma bought a laptop computer at a store that gave a 20 percent discount off its original price. The total amount she paid to the cashier was p dollars, including an 8 percent sales tax on the discounted price. Which of the following represents the original price of the computer in terms of p ?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(-30\\)",
      "B":"20",
      "C":"30",
      "D":"40",
      "E":"450"
    },
    "exam":"source1",
    "id":10256,
    "originalQuestionNumber":9,
    "question":"If \\(x^2 + x = 20\\), which of the following is a possible value of \\(x^2 - x\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"80",
      "B":"78",
      "C":"76",
      "D":"74",
      "E":"72"
    },
    "exam":"source6",
    "id":10257,
    "originalQuestionNumber":13,
    "question":"A class of 8 students had an average (arithmetic mean) test score of 76 on its first test. On the second test, all but two students received the same score as they did on the first test. One student received a 96 instead of a 72, and another received a 70 instead of a 62. What was the average score on the second test?",
    "sectionLength":20,
    "sectionNumber":5,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(10-23-15\\)",
      "B":"\\(24-18-13\\)",
      "C":"\\(12-20-26\\)",
      "D":"\\(15-21-26\\)",
      "E":"\\(34-30-21\\)"
    },
    "exam":"source1",
    "id":10258,
    "originalQuestionNumber":7,
    "question":"Sam's locker combination consists of three two-digit numbers. The combination satisfies the three conditions below. One number is even. One number is a multiple of 3. One number is the day of the month on which school started. If each number satisfies exactly one of the conditions, which of the following could be the locker combination?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"12",
      "B":"15",
      "C":"18",
      "D":"20",
      "E":"24"
    },
    "exam":"source5",
    "id":10260,
    "originalQuestionNumber":2,
    "question":"If \\(\\frac { 3 } { 4 } \\) of a number is 7 more than \\(\\frac { 1 } { 6 } \\) of the number, what is \\(\\frac { 5 } { 3 } \\) of the number?",
    "sectionLength":18,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"480",
      "B":"720",
      "C":"840",
      "D":"900",
      "E":"1,080"
    },
    "exam":"source1",
    "id":10261,
    "originalQuestionNumber":5,
    "question":"The planet Caleb makes one complete rotation on its axis every 36 Earth hours. If it turns at a constant rate, through how many degrees does any point on Caleb, except the poles, rotate from 9 am January 14th to 9 pm January 17th?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"Neither number is negative.",
      "B":"At least one of the numbers is negative.",
      "C":"Exactly one of the numbers is negative.",
      "D":"Both numbers are negative.",
      "E":"None of these statements must be true."
    },
    "exam":"source5",
    "id":10264,
    "originalQuestionNumber":5,
    "question":"If the difference of two numbers is greater than the sum of the numbers, which of the following must be true?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"8",
      "B":"9",
      "C":"10",
      "D":"11",
      "E":"12"
    },
    "exam":"source6",
    "id":10267,
    "originalQuestionNumber":9,
    "question":"The average (arithmetic mean) of three consecutive even integers \\(a\\), \\(b\\), and \\(c\\) is 8. What is the median of a, b, c, and 20 ?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(\\frac { g } { ht } \\)",
      "B":"\\(\\frac { t } { gh } \\)",
      "C":"\\(\\frac { gh } { t } \\)",
      "D":"\\(\\frac { gt } { h } \\)",
      "E":"\\(\\frac { h } { gt } \\)"
    },
    "exam":"source2",
    "id":10272,
    "originalQuestionNumber":10,
    "question":"A gas tank with a capacity of \\(g\\) gallons is empty. A pump can deliver \\(h\\) gallons of gas every \\(t\\) seconds. In terms of \\(g\\), \\(h\\) and \\(t\\), how many seconds will it take this pump to fill the tank?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(\\frac{5}{6}\\)",
      "B":"5",
      "C":"9",
      "D":"13",
      "E":"36"
    },
    "exam":"source1",
    "id":10274,
    "originalQuestionNumber":8,
    "question":"If \\(\\frac{p + q}{s} = 9\\), \\(\\frac{q}{p} = 4\\), and \\(\\sqrt{q} = 6\\), what is the value of s?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(-5\\)",
      "B":"\\(-\\sqrt[3]{5}\\)",
      "C":"\\(\\sqrt[3]{5}\\)",
      "D":"5",
      "E":"15"
    },
    "exam":"source1",
    "id":10276,
    "originalQuestionNumber":1,
    "question":"If \\(a^3 - b = a^3 - 5\\), then \\(b =\\)",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"2",
      "B":"4",
      "C":"6",
      "D":"8",
      "E":"10"
    },
    "exam":"source2",
    "id":10277,
    "originalQuestionNumber":1,
    "question":"If \\(\\frac { 3 } { 2x - 4 } = \\frac { 3 } { x } \\), what is the value of \\(x\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"3",
      "B":"4",
      "C":"5",
      "D":"6",
      "E":"7"
    },
    "exam":"source1",
    "id":10279,
    "originalQuestionNumber":15,
    "question":"In a standard coordinate plane, if Q is the point \\((1,5)\\), R is the point \\((1,1)\\), and S is the point \\((4,1)\\), what is the length of QS?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"Three",
      "B":"Four",
      "C":"Six",
      "D":"Nine",
      "E":"Ten"
    },
    "exam":"source6",
    "id":10280,
    "originalQuestionNumber":8,
    "question":"For how many integers between 10 and 100 is the tens digit equal to 5, 6, or 7 and the units digit (ones digit) equal to 2, 3, or 4 ?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"0",
      "B":"1",
      "C":"2",
      "D":"3",
      "E":"More than 3"
    },
    "exam":"source1",
    "id":10284,
    "originalQuestionNumber":5,
    "question":"If S is the set of all numbers between \\(-3.5\\) and 3.5, inclusive, T is the set of all prime numbers, and U is the set of all positive integers, then the intersection of S, T, and U contains how many elements?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"10",
      "B":"12",
      "C":"15",
      "D":"20",
      "E":"25"
    },
    "exam":"source1",
    "id":10285,
    "originalQuestionNumber":14,
    "question":"How many different positive two-digit integers are there such that the tens digit is greater than 5 and the units digit is odd?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(\\frac { 6 } { 5 } \\)",
      "B":"\\(\\frac { 3 } { 5 } \\)",
      "C":"\\(\\frac { 2 } { 3 } \\)",
      "D":"\\(\\frac { 4 } { 3 } \\)",
      "E":"\\(\\frac { 5 } { 3 } \\)"
    },
    "exam":"source2",
    "id":10287,
    "originalQuestionNumber":10,
    "question":"If \\(x^ { \\frac { 2 } { 5 } } = (x^2)^ { k - 1 } \\) for all positive values of \\(x\\), what is the value of \\(k\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(\\frac { k } { p } \\)",
      "B":"\\(100pk\\)",
      "C":"\\(\\frac { 100p } { k } \\)",
      "D":"\\(\\frac { k } { 100p } \\)",
      "E":"\\(\\frac { pk } { 100 } \\)"
    },
    "exam":"source2",
    "id":10288,
    "originalQuestionNumber":4,
    "question":"Which of the following is equal to \\(\\frac { 1 } { p } \\) percent of \\(k\\), for \\(p\\) and \\(k > 0\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"20",
      "B":"\\(5\\sqrt { 34 } \\)",
      "C":"\\(5\\sqrt { 41 } \\)",
      "D":"\\(10\\sqrt { 13 } \\)",
      "E":"1"
    },
    "exam":"source5",
    "id":10289,
    "originalQuestionNumber":15,
    "question":"If A is 25 kilometers east of B, which is 12 kilometers south of C, which is 9 kilometers west of D, how far, in kilometers, is A from D?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"1.3",
      "B":"7.8",
      "C":"13",
      "D":"78",
      "E":"130"
    },
    "exam":"source1",
    "id":10290,
    "originalQuestionNumber":12,
    "question":"A new airplane can travel at speeds up to 4,680 miles per hour. Assuming that the airplane is traveling at top speed, how many miles can it travel in 10 seconds?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(-6\\)",
      "B":"\\(-4\\)",
      "C":"\\(-2\\)",
      "D":"0",
      "E":"2"
    },
    "exam":"source1",
    "id":10294,
    "originalQuestionNumber":13,
    "question":"If \\(f(x) = \\sqrt{x^2 - 4}\\), then \\(f(x)\\) is undefined for which of the following values of x?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"2",
      "B":"6",
      "C":"7",
      "D":"11",
      "E":"101"
    },
    "exam":"source5",
    "id":10295,
    "originalQuestionNumber":14,
    "question":"If A is the set of integers between -50 and 50, and a number is in set B if it is the cube of a number in set A, how many elements of set B are in set A?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"The total number of students at the school in 2000",
      "B":"The average number of students per classroom in 2000",
      "C":"The estimated increase in the average number of students per classroom each year",
      "D":"The estimated difference between the average number of students per classroom in 2010 and in 2000"
    },
    "exam":"source7",
    "id":10298,
    "originalQuestionNumber":8,
    "question":"The average number of students per classroom at Central High School from 2000 to 2010 can be modeled by the equation y = 0.56x + 27.2, where x represents the number of years since 2000, and y represents the average number of students per classroom. Which of the following best describes the meaning of the number 0.56 in the equation?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(\\lbrace 1, 2, 4, 5, 10, 15, 20\\rbrace\\)",
      "B":"\\(\\lbrace 2, 4, 5, 10, 15\\rbrace\\)",
      "C":"\\(\\lbrace 5, 10\\rbrace\\)",
      "D":"\\(\\lbrace 5, 10, 15, 20\\rbrace\\)",
      "E":"\\(\\lbrace 2, 4, 5, 10\\rbrace\\)"
    },
    "exam":"source6",
    "id":10299,
    "originalQuestionNumber":7,
    "question":"Set C consists of all of the positive integer multiples of 5 that are less than 20. Set D consists of all of the factors of 20. Which of the following is the union of Set C and Set D ?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"III only",
      "D":"I and II only",
      "E":"I, II, and III"
    },
    "exam":"source2",
    "id":10300,
    "originalQuestionNumber":5,
    "question":"If the graph of the function g in the xy-plane contains the points (0,4), (-2,0), and (2,0), which of the following could be true? I. The graph of g is a parabola. II. The graph of g has a maximum value. III. The graph of g is a line.",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"III only",
      "B":"II and III only",
      "C":"II only",
      "D":"I and II only",
      "E":"I, II, and III"
    },
    "exam":"source2",
    "id":10301,
    "originalQuestionNumber":9,
    "question":"If -10 < x < 10, which of the following must be true? I. \\(x^2 < 10\\) II. \\(|x| < 10\\) III. \\((x + 10)(x - 10) < 0\\)",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(\\frac{2,000}{k}\\)",
      "B":"\\(\\frac{6,000}{k}\\)",
      "C":"\\(\\frac{k}{2,000}\\)",
      "D":"\\(\\frac{k}{6,000}\\)",
      "E":"6,000k"
    },
    "exam":"source1",
    "id":10305,
    "originalQuestionNumber":8,
    "question":"A supermarket buys cartons of orange juice for k dollars each and then sells them for \\(\\frac{4k}{3}\\) dollars each. How many cartons does it need to sell to make a profit of $2,000?",
    "sectionLength":18,
    "sectionNumber":4,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"243x",
      "B":"\\(3x^2\\)",
      "C":"\\(9x^4\\)",
      "D":"\\(27x^3\\)",
      "E":"\\(x^6\\)"
    },
    "exam":"source1",
    "id":10306,
    "originalQuestionNumber":11,
    "question":"If \\(3^5 = x\\), which of the following expressions is equal to \\(3^{11}\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"1",
      "B":"2",
      "C":"3",
      "D":"5",
      "E":"6"
    },
    "exam":"source1",
    "id":10307,
    "originalQuestionNumber":7,
    "question":"If \\(f(x) = \\frac{x + 4}{x}\\) and \\(g(x) = x^2 - 6\\), what is the difference between \\(f(x)\\) and \\(g(x)\\) when \\(x = 2\\)?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"10",
      "B":"20",
      "C":"30",
      "D":"-10",
      "E":"-20"
    },
    "exam":"source2",
    "id":10308,
    "originalQuestionNumber":2,
    "question":"Kim owned \\(\\$100\\). After winning \\(\\$p\\) in one game and losing \\(\\$q\\) in the next game, she owned \\(\\$80\\). What is the value of \\(p - q\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"The value of \\(y\\) will increase by 30.",
      "B":"The value of \\(y\\) will increase by 28.",
      "C":"The value of \\(y\\) will decrease by 28.",
      "D":"The value of \\(y\\) will decrease by 30",
      "E":"The value of \\(y\\) will decrease by2."
    },
    "exam":"source2",
    "id":10310,
    "originalQuestionNumber":4,
    "question":"\\begin { gather* } y = -3x + 2 \\end { gather* }  According to the equation above, if the value of x increases by 10, which of the following statements is true?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"40",
      "B":"48",
      "C":"58",
      "D":"60",
      "E":"62"
    },
    "exam":"source5",
    "id":10314,
    "originalQuestionNumber":15,
    "question":"A number of people boarded a bus at the terminal. At the first stop, half of the passengers got off and 1 got on. At the second stop, \\(\\frac { 1 } { 3 } \\) of the passengers on the bus got off and 1 got on. If the bus then had 15 passengers, how many were there when the bus left the terminal?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"6",
      "B":"8",
      "C":"9",
      "D":"10",
      "E":"12"
    },
    "exam":"source1",
    "id":10315,
    "originalQuestionNumber":8,
    "question":"A ``factor-rich'' integer is defined as one for which the sum of its positive factors, not including itself, is greater than itself. Which of the following is a ``factor-rich'' integer?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"f(x) = (x - 3)(x - 1)(x + 1)",
      "B":"f(x) = (x - 3)(x - 1)^2",
      "C":"f(x) = (x - 1)(x + 1)(x + 3)",
      "D":"f(x) = (x + 1)^{2}(x + 3)"
    },
    "exam":"source7",
    "id":10316,
    "originalQuestionNumber":12,
    "question":"In the xy-plane, the graph of function f has x-intercepts at -3, -1, and 1. Which of the following could define f",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\$90",
      "B":"\\$120",
      "C":"\\$133",
      "D":"\\$155"
    },
    "exam":"source7",
    "id":10318,
    "originalQuestionNumber":18,
    "question":"\\begin{gather} S(P) = \\frac{1}{2}P + 40 \\\\ D(P) = 220 - P \\end{gather} The quantity of a product supplied and the quantity of the product demanded in an economic market are functions of the price of the product. The functions above are the estimated supply and demand functions for a certain product. The function S(P) gives the quantity of the product supplied to the market when the price is P dollars, and the function D(P) gives the quantity of the product demanded by the market when the price is P dollars. At what price will the quantity of the product supplied to the market equal the quantity of the product demanded by the market?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"2",
      "B":"4",
      "C":"6",
      "D":"8",
      "E":"10"
    },
    "exam":"source1",
    "id":10321,
    "originalQuestionNumber":14,
    "question":"After 6 new cars entered the parking lot and 2 cars left the parking lot, there were 2 times as many cars as before. How many cars were parked in the parking lot before the changes?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"140",
      "B":"69",
      "C":"39",
      "D":"30"
    },
    "exam":"source7",
    "id":10322,
    "originalQuestionNumber":5,
    "question":"At Lincoln High School, approximately 7 percent of enrolled juniors and 5 percent of enrolled seniors were inducted into the National Honor Society last year. If there were 562 juniors and 602 seniors enrolled at Lincoln High School last year, which of the following is closest to the total number of juniors and seniors at Lincoln High School last year who were inducted into the National Honor Society?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(\\frac { b^1 } { 4 } \\)",
      "B":"\\(\\frac { b^1 } { 2 } \\)",
      "C":"\\(b\\)",
      "D":"\\(b^4\\)",
      "E":"\\(b^8\\)"
    },
    "exam":"source6",
    "id":10323,
    "originalQuestionNumber":16,
    "question":"If\\( a^\\frac { 1 } { 2 } = b^2\\) and \\(a\\) and \\(b\\) are both greater than 1, then what is the value of \\(a^2\\) in terms of \\(b\\) ?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(t\\) is halved",
      "B":"\\(t\\) is doubled",
      "C":"\\(t\\) is tripled",
      "D":"\\(t\\) is multiplied by 4",
      "E":"\\(t\\) is multiplied by 8"
    },
    "exam":"source6",
    "id":10324,
    "originalQuestionNumber":10,
    "question":"If \\(r = \\frac { 2s^3 } { t } \\), what happens to the value of \\(t\\) when both \\(r\\) and \\(s\\) are doubled?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"1.2y",
      "B":"10y",
      "C":"12y",
      "D":"15y",
      "E":"120 y"
    },
    "exam":"source1",
    "id":10325,
    "originalQuestionNumber":9,
    "question":"What is 60 percent of 20y?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(x^2 + 8x^2\\)",
      "B":"\\(4x + 5x\\)",
      "C":"\\((9x)(x)\\)",
      "D":"\\((3x)(3x)\\)",
      "E":"\\((-3x)(-3x)\\)"
    },
    "exam":"source1",
    "id":10328,
    "originalQuestionNumber":3,
    "question":"All of the following are equal to \\(9x^2\\) EXCEPT",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"10",
      "B":"11",
      "C":"12",
      "D":"13",
      "E":"14"
    },
    "exam":"source2",
    "id":10329,
    "originalQuestionNumber":9,
    "question":"If \\((x + y)^2 - (x - y)^2 = 72\\), where \\(x\\) and \\(y\\) are positive integers, which of the following could be a value of \\(x + y\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"20",
      "B":"16",
      "C":"8",
      "D":"4",
      "E":"2"
    },
    "exam":"source6",
    "id":10330,
    "originalQuestionNumber":6,
    "question":"In \\(\\triangle { EFG } \\), the length of \\(\\overline { EF } \\) is 9 and the length of \\(\\overline { EG } \\) is 12. Each of the following could be the length of side \\(\\overline { FG } \\) EXCEPT",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"9",
      "B":"10",
      "C":"12",
      "D":"15",
      "E":"18"
    },
    "exam":"source2",
    "id":10336,
    "originalQuestionNumber":4,
    "question":"If Cathy sells two apple ies and three tacos for \\$7 and the sells three apple pies and twp tacos for \\$8, what is the cost, in dollars, of three apple pies and three tacos?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"12",
      "B":"15",
      "C":"20",
      "D":"24",
      "E":"36"
    },
    "exam":"source6",
    "id":10337,
    "originalQuestionNumber":8,
    "question":"In the figure above, what is the value of \\(x\\) ?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"35",
      "B":"49",
      "C":"70",
      "D":"91",
      "E":"105"
    },
    "exam":"source2",
    "id":10343,
    "originalQuestionNumber":3,
    "question":"Each time that Sophie counted her marbles by either 3's or 5's she had one left over. But when she counted them by 7's she had none left over. What is the least number of marbles she could have had?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"-9",
      "B":"3",
      "C":"7",
      "D":"9",
      "E":"26"
    },
    "exam":"source5",
    "id":10344,
    "originalQuestionNumber":4,
    "question":"If \\(\\sqrt[3] { x + 1 } + 3 = 5\\), then \\(x =\\)",
    "sectionLength":18,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\begin{gather} 40x + 65y \\leq 2,400\\\\ x + y \\leq 45 \\end{gather}",
      "B":"\\begin{gather} \\frac{x}{40} + \\frac{y}{65} \\leq 2,400 \\\\ x + y \\leq 45 \\end{gather}",
      "C":"\\begin{gather} 40x + 65y \\leq 45 \\\\ x + y \\leq 2,400  \\end{gather}",
      "D":"\\begin{gather} x + y \\leq 2,400 \\\\ 40x + 65y \\leq 2,400  \\end{gather}"
    },
    "exam":"source7",
    "id":10345,
    "originalQuestionNumber":9,
    "question":"A worker uses a forklift to move boxes that weigh either 40 pounds or 65 pounds each. Let x be the number of 40-pound boxes and y be the number of 65-pound boxes. The forklift can carry up to either 45 boxes or a weight of 2,400 pounds. Which of the following systems of inequalities represents this relationship?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"0",
      "B":"1",
      "C":"4.6",
      "D":"7.25",
      "E":"49"
    },
    "exam":"source1",
    "id":10346,
    "originalQuestionNumber":8,
    "question":"If \\(d(w) = \\sqrt{w^2 + 1}\\) for all real values of w, which of the following is NOT a possible value of \\(d(w)\\)?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"0",
      "B":"7",
      "C":"9",
      "D":"14",
      "E":"19"
    },
    "exam":"source1",
    "id":10349,
    "originalQuestionNumber":12,
    "question":"What is the y-intercept of the line that passes through the points \\((1, 21)\\) and \\((4, 42)\\)?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(\\frac{3}{2}(3^{\\frac{n}{2}})\\)",
      "B":"\\(3^{\\frac{n}{6}}\\)",
      "C":"\\(3^{\\frac{n}{2} + 1}\\)",
      "D":"\\(3^{\\frac{3n}{2}}\\)",
      "E":"\\(9^{\\frac{n}{2}}\\)"
    },
    "exam":"source1",
    "id":10351,
    "originalQuestionNumber":6,
    "question":"If \\(n > 0\\), what is the value of \\(3^{\\frac{n}{2}} + 3^{\\frac{n}{2}} + 3^{\\frac{n}{2}}\\)?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"9",
      "B":"21",
      "C":"30",
      "D":"42",
      "E":"48"
    },
    "exam":"source6",
    "id":10352,
    "originalQuestionNumber":12,
    "question":"Stephanie, Damon, and Karissa have been contracted to paint an office building that contains 72 rooms. If Stephanie paints half as many rooms as Karissa and 12 more than Damon, how many rooms does Karissa paint?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"III only",
      "D":"I and II",
      "E":"II and III"
    },
    "exam":"source1",
    "id":10353,
    "originalQuestionNumber":4,
    "question":"If \\(0 < x + y\\) and \\(y < 0\\), which of the following statements must be true? I. \\(x < 0\\) II. \\(x < -y\\) III. \\(0 < x - y\\)",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"Four",
      "B":"Five",
      "C":"Six",
      "D":"Seven",
      "E":"Eight or more"
    },
    "exam":"source6",
    "id":10354,
    "originalQuestionNumber":16,
    "question":"Three lines intersect within a circle. What is the greatest number of separate, non-overlapping regions that can be formed inside the circle by the intersection of the lines?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"First",
      "B":"Second",
      "C":"Third",
      "D":"Fourth",
      "E":"Fifth"
    },
    "exam":"source6",
    "id":10355,
    "originalQuestionNumber":4,
    "question":"Five people stand in line: three men, Denzel, Melvin, and Aneet, and two women, Janine and Susan. The order in which they stand must match the following conditions: A man is not first in line. Denzel is ahead of Janine in the line. A woman must stand fourth in line Melvin cannot stand next to Denzel. In which position does Melvin stand in the line?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"12",
      "B":"13",
      "C":"14",
      "D":"15",
      "E":"16"
    },
    "exam":"source1",
    "id":10356,
    "originalQuestionNumber":6,
    "question":"If d is a positive integer, then \\((d - 1)(d + 1)\\) could equal which of the following?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(\\frac { 1 } { 9 } \\)",
      "B":"\\(\\frac { 1 } { 7 } \\)",
      "C":"\\(\\frac { 3 } { 7 } \\)",
      "D":"\\(\\frac { 1 } { 2 } \\)",
      "E":"\\(\\frac { 4 } { 7 } \\)"
    },
    "exam":"source5",
    "id":10359,
    "originalQuestionNumber":7,
    "question":"Heidi wrote the number 1 on 1 slip of paper, the number 2 on 2 slips of paper, the number 3 on 3 slips of paper, the number 4 on 4 slips of paper, the number 5 on 5 slips of paper, and the number 6 on 6 slips of paper. All the slips of paper were placed in a bag, and Sally drew 1 slip at random. What is the probability that the number on the slip Sally drew was odd?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"20",
      "B":"14",
      "C":"12",
      "D":"8",
      "E":"2"
    },
    "exam":"source2",
    "id":10361,
    "originalQuestionNumber":4,
    "question":"If k is a positive integer, then \\(\\frac { 2^ { k+5 } } { 2^4 } \\)\\(a + b\\) is an odd integer, which of the following must be an even integer?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(\\frac { 1 } { m } \\)",
      "B":"\\(\\sqrt { \\frac { 1 } { m } } \\)",
      "C":"\\(m^2\\)",
      "D":"\\(\\sqrt { m } \\)",
      "E":"\\(-m\\)"
    },
    "exam":"source6",
    "id":10363,
    "originalQuestionNumber":11,
    "question":"If \\(a = b^ { -2 } \\) and \\(b = \\frac { m^1 } { 2 } \\), what is \\(a\\) in terms of \\(m\\) ?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"60",
      "B":"65",
      "C":"75",
      "D":"90",
      "E":"120"
    },
    "exam":"source1",
    "id":10365,
    "originalQuestionNumber":1,
    "question":"A caterer has 120 slices ofbread, 75 slices of ham, and 75 slices of cheese. If she needs to make sandwiches each consisting of 2 slices of bread, 1 slice of ham, and 1 slice of cheese, what is the greatest number of sandwiches she can make?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"10",
      "B":"22",
      "C":"28",
      "D":"38",
      "E":"46"
    },
    "exam":"source6",
    "id":10366,
    "originalQuestionNumber":1,
    "question":"In a certain game, words earn points based on the letters in each word. The letters a, s, and k are each worth 8 points, and all other letters are worth 2 points each. How many points would the word \"sandblaster\" earn in this game?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"3 and 5",
      "B":"6 and 35",
      "C":"10 and 21",
      "D":"31 and 41"
    },
    "exam":"source7",
    "id":10367,
    "originalQuestionNumber":15,
    "question":"If (ax + 2)(bx + 7) = 15x^2 + cx + 14 for all values of x, and a + b = 8, what are the two possible values for c?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"None",
      "B":"One",
      "C":"Two",
      "D":"Four",
      "E":"More than four"
    },
    "exam":"source2",
    "id":10368,
    "originalQuestionNumber":2,
    "question":"If \\(|x - 10| = -5\\), for how many values of \\(x\\) is the equation true?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(1 : \\sqrt { 2 } \\)",
      "B":"\\(1 : \\sqrt { 3 } \\)",
      "C":"\\(\\sqrt { 2 } : 3\\)",
      "D":"2 : 1",
      "E":"1 : 3"
    },
    "exam":"source6",
    "id":10369,
    "originalQuestionNumber":16,
    "question":"In the figure above, the two circles share the same center, and the shaded region has an area twice that of the inner circle. What is the ratio of the radius of the inner circle to that of the outer circle?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(\\frac { m - 10 } { 10 } \\)",
      "B":"\\(\\frac { m^2 } { m - 10 } \\)",
      "C":"\\(\\frac { m^2 - 10m } { 10 } \\)",
      "D":"\\(\\frac { 10 } { m^2 - 10 } \\)",
      "E":"\\(\\frac { m^2 - 10 } { m + 10 } \\)"
    },
    "exam":"source2",
    "id":10370,
    "originalQuestionNumber":18,
    "question":"If there are \\(m\\) gallons of salt water that is\\( m\\%\\) salt, how many gallons of water must be added to make a solution that is \\(10\\%\\) salt?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"-14",
      "B":"36",
      "C":"68",
      "D":"77",
      "E":"86"
    },
    "exam":"source6",
    "id":10372,
    "originalQuestionNumber":6,
    "question":"For all real numbers, \\(f(x) = \\frac { x^2 + 1 } { 2 } \\). If \\(f(a) = 25\\) and \\(f(11) = b\\), which of the following could be the value of \\(b - a\\) ?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"1",
      "B":"2",
      "C":"3",
      "D":"4",
      "E":"5"
    },
    "exam":"source2",
    "id":10373,
    "originalQuestionNumber":3,
    "question":"If \\(\\frac { 100 - n } { 25 } \\) is a positive integer, for how many possible positive values of \\(n\\) is the statement true?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"diagram779.png",
      "B":"diagram67.png",
      "C":"diagram573.png",
      "D":"diagram516.png"
    },
    "exam":"source7",
    "id":10375,
    "originalQuestionNumber":15,
    "question":"Which of the following scatterplots shows a relationship that is appropriately modeled with the equation y = ax^b, where a is positive and b is negative?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(6m + 1\\)",
      "B":"\\(\\frac{10}{3}m + 1\\)",
      "C":"\\(2m + 3\\)",
      "D":"\\(2m + 1\\)",
      "E":"\\(2m - 1\\)"
    },
    "exam":"source1",
    "id":10378,
    "originalQuestionNumber":13,
    "question":"Suraj solved m physics problems on Monday, three times as many physics problems on Tuesday as on Monday, and three more than twice as many physics problems on Wednesday as on Monday. What is the average (arithmetic mean) number of physics problems he solved per day over the three days?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(x < -1\\) and \\(x \\neq -3\\)",
      "B":"\\(x > -1\\)",
      "C":"\\(x > -1\\) and \\(x \\neq 3\\)",
      "D":"\\(-3 < x < -1\\)",
      "E":"\\(x < -1\\) or \\(x > 3\\)"
    },
    "exam":"source6",
    "id":10380,
    "originalQuestionNumber":7,
    "question":"Which of the following is equivalent to \\(\\frac { x^2 + 4x + 3 } { -3 -x } > 0\\) ?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"less than 4",
      "B":"4",
      "C":"6",
      "D":"8",
      "E":"more than 8"
    },
    "exam":"source5",
    "id":10381,
    "originalQuestionNumber":6,
    "question":"What is the maximum number of points of intersection between a square and a circle?",
    "sectionLength":18,
    "sectionNumber":7,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(k + 3\\)",
      "B":"\\(2(k + 3) + k\\)",
      "C":"\\(k^2 + k - 2\\)",
      "D":"\\((k + 1)(k - 1)\\)",
      "E":"\\((k + 1) (k + 2)\\)"
    },
    "exam":"source2",
    "id":10382,
    "originalQuestionNumber":3,
    "question":"If \\(k\\) represents an odd integer, which of the following also represents an odd integer?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"diagram239.png",
      "B":"diagram1386.png",
      "C":"diagram727.png",
      "D":"diagram919.png"
    },
    "exam":"source7",
    "id":10383,
    "originalQuestionNumber":20,
    "question":"The mass of living organisms in a lake is defined to be the biomass of the lake. If the biomass in a lake doubles each year, which of the following graphs could model the biomass in the lake as a function of time? (Note: In each graph below, O represents (0, 0).)",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(\\frac { a + b + c } { 2 } \\)",
      "B":"\\(\\frac { a + b + c } { 3 } \\)",
      "C":"\\(\\frac { a + b + c } { 4 } \\)",
      "D":"\\(\\frac { a + b + c } { 6 } \\)",
      "E":"\\(\\frac { a + b + c } { 12 } \\)"
    },
    "exam":"source5",
    "id":10385,
    "originalQuestionNumber":16,
    "question":"If \\(x + y = a\\), \\(y + z = b\\) and \\(x + z = c\\), what is the average (arithmetic mean) of \\(x\\), \\(y\\), and \\(z\\)?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(\\frac { b + 1 } { 2 } \\)",
      "B":"\\(2b - 3\\)",
      "C":"\\(6\\)",
      "D":"\\(4\\)",
      "E":"\\(1\\)"
    },
    "exam":"source2",
    "id":10386,
    "originalQuestionNumber":10,
    "question":"The average (arithmetic mean) of \\(a\\), \\(2a\\), \\(b\\), and \\((b + 1)\\) is equal to the median of the four numbers, where \\(a < 2a < b < (b + 1)\\). What is the value of \\(a\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"28",
      "B":"50",
      "C":"90",
      "D":"105",
      "E":"135"
    },
    "exam":"source1",
    "id":10387,
    "originalQuestionNumber":2,
    "question":"Which of the following is divisible by 5 and 7, but is NOT divisible by 10?",
    "sectionLength":18,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(f(x) = x^2\\)",
      "B":"\\(f(x) =4\\)",
      "C":"\\(f(x)=x+2\\)",
      "D":"\\(f (x) = x^3 +4\\)",
      "E":"\\(f(x) = \\frac { 3 } { x } \\)"
    },
    "exam":"source2",
    "id":10390,
    "originalQuestionNumber":4,
    "question":"For which of the following function does \\(f(3) =-f(-3)\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\$2.60",
      "B":"\\$2.85",
      "C":"\\$2.95",
      "D":"\\$3.35"
    },
    "exam":"source7",
    "id":10391,
    "originalQuestionNumber":11,
    "question":"\\begin{gather} b = 2.35 + 0.25x \\\\ c = 1.75 + 0.40x \\end{gather} In the equations above, b and c represent the price per pound, in dollars, of beef and chicken, respectively, x weeks after July 1 during last summer. What was the price per pound of beef when it was equal to the price per pound of chicken?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"1",
      "B":"2",
      "C":"3",
      "D":"4",
      "E":"5"
    },
    "exam":"source2",
    "id":10393,
    "originalQuestionNumber":11,
    "question":"If \\(\\frac { 4 } { p } \\) percent of a positive number is equal to \\(p\\) percent of the same number, what is the value of \\(p\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"x = \\frac{k}{4} \\pm \\frac{\\sqrt{k^2 + 2p}}{4}",
      "B":"x = \\frac{k}{4} \\pm \\frac{\\sqrt{k^2 + 32p}}{4}",
      "C":"x = \\frac{k}{2} \\pm \\frac{\\sqrt{k^2 + 2p}}{4}",
      "D":"x = \\frac{k}{2} \\pm \\frac{\\sqrt{k^2 + 32p}}{4}"
    },
    "exam":"source7",
    "id":10395,
    "originalQuestionNumber":15,
    "question":"\\begin{gather} x^2 - \\frac{k}{2}x = 2p \\end{gather} In the quadratic equation above, k and p are constants. What are the solutions for x?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(\\frac { 1 } { 20 } \\)",
      "B":"\\(\\frac { 3 } { 20 } \\)",
      "C":"\\(\\frac { 3 } { 10 } \\)",
      "D":"\\(\\frac { 3 } { 5 } \\)",
      "E":"\\(\\frac { 2 } { 3 } \\)"
    },
    "exam":"source2",
    "id":10399,
    "originalQuestionNumber":13,
    "question":"There are 3 Republicans and 2 Democrats on a Senate committee. If a 3-person subcommittee is to be formed from this committee, what is the probability of selecting two Republicans and one Democrat?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"-3",
      "B":"-1",
      "C":"\\(\\frac { 3 } { 4 } \\)",
      "D":"1",
      "E":"3"
    },
    "exam":"source6",
    "id":10402,
    "originalQuestionNumber":4,
    "question":"If \\(a = \\frac { 4 } { 3 } \\), then \\(\\frac { 4 } { a } - \\frac { a } { a - 1 } \\) =",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"200",
      "B":"300",
      "C":"400",
      "D":"1000",
      "E":"More than 1000"
    },
    "exam":"source2",
    "id":10405,
    "originalQuestionNumber":13,
    "question":"How many integers greater than 199, when doubled, will yield a 3-digit integer?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"16",
      "B":"15",
      "C":"10",
      "D":"9",
      "E":"7"
    },
    "exam":"source6",
    "id":10406,
    "originalQuestionNumber":19,
    "question":"The sum of 8 positive integers is 31. If no individual integer value can appear more than twice in the list of 8 integers, what is the greatest possible value one of these integers can have?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"6",
      "B":"10",
      "C":"11",
      "D":"12",
      "E":"20"
    },
    "exam":"source6",
    "id":10408,
    "originalQuestionNumber":4,
    "question":"Aaron scored 84 points on a test made up of 10 eight-point short-answer questions and 8 five-point multiple-choice questions. If no partial credit was given and he missed 2 short-answer questions, how many questions did Aaron miss on the whole test?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"24",
      "B":"36",
      "C":"40",
      "D":"48",
      "E":"60"
    },
    "exam":"source6",
    "id":10409,
    "originalQuestionNumber":1,
    "question":"Which of the following numbers disproves the statement \"A number that is divisible by 4 and 8 is also divisible by 12\"?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"0",
      "B":"9",
      "C":"18",
      "D":"20",
      "E":"298"
    },
    "exam":"source5",
    "id":10410,
    "originalQuestionNumber":2,
    "question":"The equation \\(|10 - \\sqrt { x } | = 7\\) has two solutions. What is the sum of these solutions?",
    "sectionLength":18,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"2",
      "B":"\\(\\frac { 1 } { 2 } \\)",
      "C":"3",
      "D":"\\(\\frac { 1 } { 3 } \\)",
      "E":"\\(\\frac { 1 } { 9 } \\)"
    },
    "exam":"source2",
    "id":10413,
    "originalQuestionNumber":1,
    "question":"If \\(pq = l\\) and \\(3q = 9\\), what is the value of \\(p\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"18",
      "B":"24",
      "C":"28",
      "D":"33",
      "E":"36"
    },
    "exam":"source5",
    "id":10414,
    "originalQuestionNumber":5,
    "question":"Which of the following CANNOT be expressed as the sum of three consecutive integers?",
    "sectionLength":16,
    "sectionNumber":9,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"1",
      "B":"2",
      "C":"4",
      "D":"8",
      "E":"16"
    },
    "exam":"source6",
    "id":10415,
    "originalQuestionNumber":13,
    "question":"If \\(\\frac { b^x } { 2 } = 8\\), then \\(\\frac { b^x } { 2 } \\) =",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(r^{y + 1}\\)",
      "B":"\\(r^{y + 2}\\)",
      "C":"\\(r^{y + 12}\\)",
      "D":"\\(r^{12y}\\)",
      "E":"\\(r^{2y}\\)"
    },
    "exam":"source1",
    "id":10417,
    "originalQuestionNumber":12,
    "question":"If \\(12 = r^y\\), then \\(12r = \\)",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"66,000",
      "B":"93,000",
      "C":"210,000",
      "D":"420,000"
    },
    "exam":"source7",
    "id":10419,
    "originalQuestionNumber":15,
    "question":"The distance traveled by Earth in one orbit around the Sun is about 580,000,000 miles. Earth makes one complete orbit around the Sun in one year. Of the following, which is closest to the average speed of Earth, in miles per hour, as it orbits the Sun?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(9q\\)",
      "B":"\\(18q\\)",
      "C":"\\(\\frac { 1 } { 27 } q\\)",
      "D":"\\(27q\\)",
      "E":"\\(\\frac { q } { 27 } \\)"
    },
    "exam":"source2",
    "id":10420,
    "originalQuestionNumber":7,
    "question":"If \\(p = 3^a\\), \\(q = 3^b\\), and \\(a - b = 3\\), what is \\(p\\) in terms of \\(q\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"r^2 = \\frac{IP}{4\\pi}",
      "B":"r^2 = \\frac{P}{4\\pi I}",
      "C":"r^2 = \\frac{4\\pi I}{P}",
      "D":"r^2 = \\frac{I}{4\\pi P}"
    },
    "exam":"source7",
    "id":10423,
    "originalQuestionNumber":22,
    "question":"\\begin{gather} I = \\frac{P}{4\\pi r^2} \\end{gather} At a large distance r from a radio antenna, the intensity of the radio signal I is related to the power of the signal P by the formula above. Which of the following expresses the square of the distance from the radio antenna in terms of the intensity of the radio signal and the power of the signal?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"63",
      "B":"65",
      "C":"69",
      "D":"75",
      "E":"78"
    },
    "exam":"source2",
    "id":10424,
    "originalQuestionNumber":10,
    "question":"If each of 8 boys played a game of chess with each of 6 girls, and then each girls played a game with each of the other girls, which of the following could be the total number of games played?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"2",
      "B":"9",
      "C":"13",
      "D":"15",
      "E":"33"
    },
    "exam":"source2",
    "id":10425,
    "originalQuestionNumber":6,
    "question":"\\begin { gather* } Set A = \\{ x|x = prime number\\} \\\\ Set B = \\{ x|x = 2n + 1, n = positive integer\\} \\end { gather* }  Which of the following is an element of both set \\(A\\) and \\(B\\) shown above?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(-2m\\)",
      "B":"\\(\\frac{1}{m}\\)",
      "C":"\\(\\frac{2}{m}\\)",
      "D":"2m",
      "E":"\\(m^2\\)"
    },
    "exam":"source1",
    "id":10426,
    "originalQuestionNumber":7,
    "question":"If \\(m^{-1}n = 2\\), what does n equal in terms of m?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(x^3 > y^3\\)",
      "B":"\\(x^2 < y^2\\)",
      "C":"\\(x - y < 0\\)",
      "D":"\\(\\frac { 1 } { x^2 } < \\frac { 1 } { y^2 } \\)",
      "E":"\\(\\frac { 1 } { x } < \\frac { 1 } { y } \\)"
    },
    "exam":"source6",
    "id":10428,
    "originalQuestionNumber":7,
    "question":"If \\(x > 0 > y\\), which of the following inequalities must be true?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(k - 1\\)",
      "B":"\\(\\frac{k}{2}\\)",
      "C":"\\(\\frac{2}{k}\\)",
      "D":"\\(\\frac{k - 1}{2}\\)",
      "E":"\\(\\frac{2}{k - 1}\\)"
    },
    "exam":"source1",
    "id":10429,
    "originalQuestionNumber":19,
    "question":"For any positive odd integer k, how many even integers are greater than zero and less than k?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"9",
      "B":"21",
      "C":"30",
      "D":"42",
      "E":"48"
    },
    "exam":"source6",
    "id":10431,
    "originalQuestionNumber":12,
    "question":"If \\(f(x) = 4x - 8\\) and \\(g(x) = 3x^2 + 7\\), then \\(f(g(3))\\) =",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(b^2 + 12b = 0\\)",
      "B":"\\(b^2 - 12b = 0\\)",
      "C":"\\(b^2 + b + 12 = 0\\)",
      "D":"\\(b^2 - b + 12 = 0\\)",
      "E":"\\(b^2 - b - 12 = 0\\)"
    },
    "exam":"source6",
    "id":10432,
    "originalQuestionNumber":11,
    "question":"The square of \\(b\\) is equal to the sum of \\(b\\) and 12. Which of the following equations could be used to find the value of \\(b\\) ?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"1.5",
      "B":"1.7",
      "C":"2.0",
      "D":"2.1",
      "E":"3.0"
    },
    "exam":"source5",
    "id":10433,
    "originalQuestionNumber":2,
    "question":"What is the product of 1.1 and 1.9 rounded to the nearest tenth?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"64",
      "B":"98",
      "C":"112",
      "D":"128",
      "E":"224"
    },
    "exam":"source1",
    "id":10434,
    "originalQuestionNumber":19,
    "question":"At a basketball tournament involving 8 teams, each team played 4 games with each of the other teams. How many games were played at this tournament?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(\\frac { s } { n } \\times 100\\%\\)",
      "B":"\\(\\frac { n - s } { n } \\times 100\\%\\)",
      "C":"\\(\\frac { n } { n + s } \\times 100\\%\\)",
      "D":"\\(\\frac { n - s } { n + j } \\times 100\\%\\)",
      "E":"\\(\\frac { n - s + j } { n + j } \\times 100\\%\\)"
    },
    "exam":"source2",
    "id":10439,
    "originalQuestionNumber":9,
    "question":"There are \\(n\\) students in a chemistry class, and only \\(s\\) of them are seniors. If \\(j\\) juniors are added to the class, what percent of the students in the class will not be seniors?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"2",
      "B":"3",
      "C":"4",
      "D":"5",
      "E":"6"
    },
    "exam":"source1",
    "id":10442,
    "originalQuestionNumber":3,
    "question":"If \\(a + 2 > 5\\) and \\(a - 4 < 1\\), which of the following could be a value for a?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"2",
      "B":"1",
      "C":"\\(\\frac { 1 } { 2 } \\)",
      "D":"\\(-\\frac { 1 } { 2 } \\)",
      "E":"-1"
    },
    "exam":"source6",
    "id":10443,
    "originalQuestionNumber":20,
    "question":"\\begin { gather* } \\frac { 1 } { x^2 } , \\frac { 1 } { x } , x, x^2, x^3 \\end { gather* } In the set of numbers above, there is no mode and the median is \\(x^3\\). What is one possible value of \\(x\\) ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"38",
      "B":"37",
      "C":"25",
      "D":"20",
      "E":"18"
    },
    "exam":"source2",
    "id":10444,
    "originalQuestionNumber":11,
    "question":"In how many integers from 1 to 200 does the digit 9 appear at least once?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"-25",
      "B":"-5",
      "C":"-3",
      "D":"3",
      "E":"25"
    },
    "exam":"source6",
    "id":10445,
    "originalQuestionNumber":6,
    "question":"If \\(x - y = 5 \\)and \\(x^2 + y^2 = 15\\), what is the value of \\(xy\\) ?",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"6",
      "B":"8",
      "C":"10",
      "D":"12",
      "E":"18"
    },
    "exam":"source2",
    "id":10446,
    "originalQuestionNumber":6,
    "question":"A(-3,2) B(1,2) C(6,-1) The coordinates of points A, B and C in the xy- plane are given above. What is the area of \\(\\triangle { ABC } \\) ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"18\\%",
      "B":"36\\%",
      "C":"46\\%",
      "D":"64\\%",
      "E":"82\\%"
    },
    "exam":"source6",
    "id":10447,
    "originalQuestionNumber":5,
    "question":"A field contains 4,500 flowers that are either roses, daisies, or daffodils. If 18\\% are daisies and 18\\% are daffodils, what percent of flowers are roses?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(f(x) = x^2\\)",
      "B":"\\(f(x) = x + 2\\)",
      "C":"\\(f(x) = x^3 + 2\\)",
      "D":"\\(f(x) = \\frac { 2 } { x } \\)",
      "E":"\\(f(x) = -x^3 + 2\\)"
    },
    "exam":"source2",
    "id":10448,
    "originalQuestionNumber":4,
    "question":"For which of the following functions is \\(f(-2) > f(2)\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"diagram1417.eps",
      "B":"diagram679.eps",
      "C":"diagram1555.eps",
      "D":"diagram426.eps",
      "E":"diagram825.eps"
    },
    "exam":"source2",
    "id":10449,
    "originalQuestionNumber":5,
    "question":"Let the function \\(f\\) be defined by \\(f(x) = ax + b\\), where a and b are constants. If \\(ab < 0\\), which of the following graphs could be the graph of \\(f\\) ?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"10",
      "B":"30",
      "C":"60",
      "D":"90",
      "E":"180"
    },
    "exam":"source5",
    "id":10452,
    "originalQuestionNumber":2,
    "question":"How many minutes did John take, driving at 20 miles per hour, to go the same distance that Mary took 30 minutes to drive at 60 miles per hour?",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"12",
      "B":"74",
      "C":"624",
      "D":"624.7",
      "E":"625"
    },
    "exam":"source1",
    "id":10459,
    "originalQuestionNumber":15,
    "question":"1. Choose a number between 0 and 9.9. 2. Multiply the number from the previous step by 100. 3. Determine the smallest integer greater than or equal to the number obtained from the previous step. 4. Add 12 to the number found in the previous step. 5. Print the resulting number. If 6.127 is the number chosen in step 1, what is the number printed in step 5?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(x + 4y = 19\\)",
      "B":"\\(3x + 4y = 19\\)",
      "C":"\\(3x + 4y = 20\\)",
      "D":"\\(4x + y = 19\\)",
      "E":"\\(4x + y = 20\\)"
    },
    "exam":"source1",
    "id":10461,
    "originalQuestionNumber":9,
    "question":"What is the equation of the line that passes through the points \\((3,4)\\) and \\((-1,5)\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"2",
      "B":"4",
      "C":"5",
      "D":"6"
    },
    "exam":"source7",
    "id":10463,
    "originalQuestionNumber":18,
    "question":"Jim has identical drinking glasses each in the shape of a right circular cylinder with internal diameter of 3 inches. He pours milk from a gallon jug into each glass until it is full. If the height of milk in each glass is about 6 inches, what is the largest number of full milk glasses that he can pour from one gallon of milk? (Note: There are 231 cubic inches in 1 gallon.)",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"III only",
      "D":"I and II only",
      "E":"II and III only"
    },
    "exam":"source2",
    "id":10464,
    "originalQuestionNumber":13,
    "question":"Which of the following is equivalent to \\(|k| < 10\\) ? I. \\(k^2 < 10\\) II. \\(-10 < k < 10\\) III. \\((k + 10)(k - 10) < 0\\)",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"2",
      "B":"3",
      "C":"4",
      "D":"9"
    },
    "exam":"source7",
    "id":10466,
    "originalQuestionNumber":24,
    "question":"\\begin{gather} x^2 + y^2 + 4x - 2y = -1 \\end{gather} The equation of a circle in the xy-plane is shown above. What is the radius of the circle?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"2",
      "B":"4",
      "C":"8",
      "D":"15",
      "E":"16"
    },
    "exam":"source2",
    "id":10468,
    "originalQuestionNumber":13,
    "question":"If \\(f = 1 + 2 + 4 + 8 + 16\\) and \\(g = \\frac { 1 } { 2 } f + \\frac { 1 } { 2 } \\), then \\(f\\) exceeds \\(g\\) by",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"-5p",
      "B":"-3p",
      "C":"p",
      "D":"3p",
      "E":"It cannot be determined from the information given."
    },
    "exam":"source6",
    "id":10471,
    "originalQuestionNumber":9,
    "question":"\\begin { gather* } -5p, -3p, p, 3p \\end { gather* } If \\(p < 0\\), which of the number above has the least value?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"58",
      "B":"87",
      "C":"88",
      "D":"90",
      "E":"92"
    },
    "exam":"source1",
    "id":10474,
    "originalQuestionNumber":16,
    "question":"A class of 30 students had an average (arithmetic mean) of 92 points on a geography test out of a possible 100. If 10 of the students had a perfect score, what was the average score for the remaining students?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(\\frac { 25d } { pc } \\)",
      "B":"\\(\\frac { 4pc } { d } \\)",
      "C":"\\(\\frac { 100d } { pc } \\)",
      "D":"\\(4pcd\\)",
      "E":"\\(25pcd\\)"
    },
    "exam":"source6",
    "id":10475,
    "originalQuestionNumber":15,
    "question":"For the annual school fundraiser, Santiago has \\(p\\) pledges each for \\(c\\) cents per lap that he jogs. If his school track has 4 laps per mile and Santiago raises a total of \\(d\\) dollars, how many miles did he jog in terms of \\(p\\), \\(c\\), and \\(d\\) ?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"III only",
      "D":"I and III only",
      "E":"I, II and III"
    },
    "exam":"source5",
    "id":10476,
    "originalQuestionNumber":10,
    "question":"For any positive integer \\(n > 1\\), \\(n!\\) represents the product of the first \\(n\\) positive integers. For example, \\(3! = 1 \\times 2 \\times 3 = 6\\). Which of the following is (are) equal to \\(\\frac { 10! } { 8! } \\) ? I. \\(5! - 4! - 3!\\) II. \\(\\frac { 5! } { 4! } \\) III. \\(15(3!)\\)",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(m^{x + 1}\\)",
      "B":"\\(m^{x + 2}\\)",
      "C":"\\(m^{x + 5}\\)",
      "D":"\\(m^{5x}\\)",
      "E":"\\(m^{2x}\\)"
    },
    "exam":"source1",
    "id":10479,
    "originalQuestionNumber":7,
    "question":"If \\(5 = m^x\\), then \\(5m =\\)",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(\\frac { 1 } { 3 } \\)",
      "B":"\\(\\sqrt { 3 } \\)",
      "C":"3",
      "D":"\\(3\\sqrt { 3 } \\)",
      "E":"9"
    },
    "exam":"source5",
    "id":10483,
    "originalQuestionNumber":9,
    "question":"What is the value of \\(a\\) if \\(a\\) is positive and \\(a \\times a \\times a = a + a + a\\) ?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"0",
      "B":"1",
      "C":"3",
      "D":"4",
      "E":"5"
    },
    "exam":"source5",
    "id":10485,
    "originalQuestionNumber":4,
    "question":"Let \\(f(x) = \\frac { \\sqrt { x - \\pi } } { x - 4 } \\). What is the smallest integer for which \\(f(x)\\) is defined?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(2y\\)",
      "B":"\\(-2x\\)",
      "C":"\\(-4xy\\)",
      "D":"\\(x + 2y\\)",
      "E":"\\(4(x + y)\\)"
    },
    "exam":"source6",
    "id":10486,
    "originalQuestionNumber":5,
    "question":"If \\(x > 0\\) and \\(y < 0\\), which of the following must be positive?",
    "sectionLength":20,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"3",
      "B":"11",
      "C":"14",
      "D":"22",
      "E":"28"
    },
    "exam":"source1",
    "id":10489,
    "originalQuestionNumber":2,
    "question":"At a dinner ceremony, each guest is given the choice of four different appetizers and seven entries. How many different combinations are there of one appetizer and one entree?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"18",
      "B":"24",
      "C":"36",
      "D":"40",
      "E":"42"
    },
    "exam":"source2",
    "id":10492,
    "originalQuestionNumber":8,
    "question":"Benjamin and Jerry start with the same number of trading cards. After Benjamin gives 12 of his cards to Jerry, Jerry has two limes as many cards as Benjamin does. How many cards did Benjamin have at the start?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(\\frac{3p + d}{4}\\)",
      "B":"\\(\\frac{3p + d}{3}\\)",
      "C":"\\(\\frac{p + d}{4}\\)",
      "D":"\\(\\frac{p + d}{2}\\)",
      "E":"\\(\\frac{3(p + d)}{4}\\)"
    },
    "exam":"source1",
    "id":10493,
    "originalQuestionNumber":11,
    "question":"If the average (arithmetic mean) of a, b, and c is p, which of the following is the average of a, b, c, and d?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(3.26691 \\times 10^{-3}\\)",
      "B":"\\(3.26691 \\times 10^{-2}\\)",
      "C":"\\(3.26691 \\times 10^{-1}\\)",
      "D":"\\(32.6691 \\times 10^{-2}\\)",
      "E":"\\(32.6691 \\times 10^{-3}\\)"
    },
    "exam":"source1",
    "id":10494,
    "originalQuestionNumber":4,
    "question":"Which of the following represents the same value as 0.00326691?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(-9b - 7a\\)",
      "B":"\\(-4b - a\\)",
      "C":"\\(4b + a\\)",
      "D":"\\(7b + 3a\\)",
      "E":"\\(9b + 7a\\)"
    },
    "exam":"source6",
    "id":10497,
    "originalQuestionNumber":8,
    "question":"Which of the following expressions represents \\(b - 3a\\) subtracted from twice the sum of \\(2a\\) and \\(5b\\) ?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"2",
      "B":"4",
      "C":"8",
      "D":"9",
      "E":"19.25"
    },
    "exam":"source5",
    "id":10498,
    "originalQuestionNumber":6,
    "question":"If \\((a^ { \\frac { 1 } { 2 } } )^3 (a^3)^ { \\frac { 1 } { 2 } } = a^n\\), then \\(n\\) =",
    "sectionLength":16,
    "sectionNumber":9,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"5",
      "B":"7",
      "C":"8",
      "D":"10",
      "E":"It cannot be determined from the information given"
    },
    "exam":"source5",
    "id":10499,
    "originalQuestionNumber":5,
    "question":"Let the lengths of the sides of a triangle be represented by \\(x + 3\\), \\(2x - 3\\), and \\(3x - 5\\). If the perimeter of the triangle is 25, what is the length of the shortest side?",
    "sectionLength":18,
    "sectionNumber":7,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"0",
      "B":"5",
      "C":"10",
      "D":"15",
      "E":"20"
    },
    "exam":"source5",
    "id":10500,
    "originalQuestionNumber":19,
    "question":"A school's honor society has 100 members: 40 boys and 60 girls, of whom 30 are juniors and 70 are seniors. What is the smallest possible number of senior boys in the society?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"2",
      "B":"5",
      "C":"7",
      "D":"10",
      "E":"52"
    },
    "exam":"source6",
    "id":10501,
    "originalQuestionNumber":4,
    "question":"83 \\(\\frac { - AB } { 31 } \\) In the correctly solved subtraction problem above, A and B represent digits. What is the value of \\(A \\times B\\) ?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(2^{9x}\\)",
      "B":"\\(2^{8x}\\)",
      "C":"\\(2^{6x}\\)",
      "D":"\\(2^{5x}\\)",
      "E":"\\(2^{4x}\\)"
    },
    "exam":"source1",
    "id":10502,
    "originalQuestionNumber":11,
    "question":"If \\(x > 0\\), then \\((4^x)(8^x) =\\)",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"Two",
      "B":"Three",
      "C":"Four",
      "D":"Five",
      "E":"Six"
    },
    "exam":"source6",
    "id":10504,
    "originalQuestionNumber":7,
    "question":"If a, b, and c are distinct positive odd integers less than 6, how many different values of \\(a(b^c)\\) are possible?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"4",
      "B":"5",
      "C":"6",
      "D":"7",
      "E":"8"
    },
    "exam":"source6",
    "id":10505,
    "originalQuestionNumber":13,
    "question":"\\begin { gather* } 8, 10, x, 12, 8, 10, 8, 10, 10 \\end { gather* } If the set of numbers above has both a median and a single mode of 10, then each of the number below could be the value of x EXCEPT",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(a = 0\\)",
      "B":"\\(b < 0\\)",
      "C":"\\(a = b\\)",
      "D":"\\(ab = 0\\)",
      "E":"\\(a + b = 0\\)"
    },
    "exam":"source2",
    "id":10506,
    "originalQuestionNumber":8,
    "question":"If \\((a + b)^2 = (a - b)^2\\) , which of the following must be true?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"3",
      "B":"6",
      "C":"12",
      "D":"13",
      "E":"76"
    },
    "exam":"source6",
    "id":10507,
    "originalQuestionNumber":8,
    "question":"What is the sum of the prime factors of 42 ?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"8",
      "B":"10",
      "C":"12",
      "D":"16",
      "E":"64"
    },
    "exam":"source6",
    "id":10508,
    "originalQuestionNumber":5,
    "question":"If \\(a^3 = 4\\), what is the value of \\(a^6\\) ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"-8",
      "B":"-4\\sqrt{3}",
      "C":"4\\sqrt{3}",
      "D":"8"
    },
    "exam":"source7",
    "id":10509,
    "originalQuestionNumber":13,
    "question":"What is the sum of all values of m that satisfy 2m^2 - 16m + 8 = 0?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"4",
      "B":"9",
      "C":"11",
      "D":"20"
    },
    "exam":"source7",
    "id":10511,
    "originalQuestionNumber":1,
    "question":"If 5x + 6 = 10, what is the value of 10x + 3?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(y = -3x + 2\\)",
      "B":"\\(y = -3x - 2\\)",
      "C":"\\(y = 3x - 2\\)",
      "D":"\\(y = \\frac{1}{3}x + 2\\)",
      "E":"\\(y = -\\frac{1}{3}x + 2\\)"
    },
    "exam":"source1",
    "id":10512,
    "originalQuestionNumber":14,
    "question":"In the xy-plane, the equation of line l is \\(y = 3x + 2\\). If line m is the reflection of line l in the y-axis, what is the equation of line m?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(\\frac { cp } { t } \\)",
      "B":"\\(\\frac { pt } { c } \\)",
      "C":"\\(\\frac { ct } { p } \\)",
      "D":"\\(pct\\)",
      "E":"\\(pc + t\\)"
    },
    "exam":"source2",
    "id":10513,
    "originalQuestionNumber":2,
    "question":"At Camp David, there is one adult for every \\(p\\) campers. If there are \\(c\\) campers in each tent group, how many adults are needed for \\(t\\) tent groups?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(3\\pi - 3\\)",
      "B":"\\(4.5\\pi - 3\\)",
      "C":"\\(6\\pi - 6\\)",
      "D":"\\(9\\pi - 3\\)",
      "E":"\\(9\\pi - 6\\)"
    },
    "exam":"source5",
    "id":10514,
    "originalQuestionNumber":9,
    "question":"A rectangle has a perimeter equal to the circumference of a circle of radius 3. If the width of the rectangle is 3, what is its length?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"15",
      "B":"16",
      "C":"18",
      "D":"53",
      "E":"66"
    },
    "exam":"source1",
    "id":10516,
    "originalQuestionNumber":16,
    "question":"If the sum of the consecutive integers from \\(-15\\) to x, inclusive, is 51, what is the value of x ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"The slope of line l is undefined.",
      "B":"The slope of line l is zero.",
      "C":"The slope of line l is positive.",
      "D":"The slope of line l is negative."
    },
    "exam":"source7",
    "id":10519,
    "originalQuestionNumber":8,
    "question":"Line l in the xy-plane contains points from each of Quadrants II, III, and IV, but no points from Quadrant I. Which of the following must be true?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"2",
      "B":"3",
      "C":"4",
      "D":"6",
      "E":"8"
    },
    "exam":"source2",
    "id":10521,
    "originalQuestionNumber":10,
    "question":"If a rectangular solid that has a width of 8, a length of 8 and a height of 16 is divided into 16 identical cubes, what is the length of the edge of one of the cubes?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\$2.00",
      "B":"\\$2.30",
      "C":"\\$2.60",
      "D":"\\$12.00",
      "E":"\\$12.30"
    },
    "exam":"source1",
    "id":10522,
    "originalQuestionNumber":5,
    "question":"Tariq has $10 and wants to buy 21 oranges at $0.30 each and 12 apples at $0.50 each. If there is no sales tax, how much more money does he need?",
    "sectionLength":18,
    "sectionNumber":4,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"None",
      "B":"4",
      "C":"5",
      "D":"7",
      "E":"Infinitely many"
    },
    "exam":"source5",
    "id":10523,
    "originalQuestionNumber":7,
    "question":"For how many integers, \\(x\\), is the function \\(f(x) = \\sqrt { x^2 - 9 } \\) undefined?",
    "sectionLength":18,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"8",
      "B":"24",
      "C":"27",
      "D":"30",
      "E":"36"
    },
    "exam":"source1",
    "id":10526,
    "originalQuestionNumber":10,
    "question":"If r is a multiple of both 12 and 18, which of the following must be a factor of r ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"3",
      "B":"6",
      "C":"9",
      "D":"12",
      "E":"15"
    },
    "exam":"source2",
    "id":10527,
    "originalQuestionNumber":6,
    "question":"If the average (arithmetic mean) of \\(p\\), \\(q\\), and 10 is 12, and the average of \\(2p\\), \\(q\\), and 7 is 13, what is the value of p?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"25",
      "B":"26",
      "C":"30",
      "D":"40",
      "E":"45"
    },
    "exam":"source1",
    "id":10529,
    "originalQuestionNumber":3,
    "question":"The number of tulips that Samantha grows each season varies directly with the age of her daughter Kim. If Samantha grew 16 tulips when Kim was 10 years old, how many tulips will she grow when Kim is 25 years old?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"1",
      "B":"4",
      "C":"5",
      "D":"8",
      "E":"9"
    },
    "exam":"source1",
    "id":10530,
    "originalQuestionNumber":1,
    "question":"What is the hundredths digit in the number 123,456.789?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"50",
      "B":"30",
      "C":"25",
      "D":"12.5",
      "E":"6.25"
    },
    "exam":"source2",
    "id":10532,
    "originalQuestionNumber":11,
    "question":"If y is inversely proportional to \\(x\\), and \\(y = 25\\) when \\(x = 10\\), what is the value of \\(y\\) when \\(x = 20\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(a + b\\)",
      "B":"\\(-ab\\)",
      "C":"ab",
      "D":"\\(\\frac{b}{a}\\)",
      "E":"\\(b - a\\)"
    },
    "exam":"source1",
    "id":10534,
    "originalQuestionNumber":8,
    "question":"If a is an odd negative number and b is a positive even number, which of the following must be even and positive?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(200 - 8g\\)",
      "B":"\\(200 - 2g\\)",
      "C":"\\(200 - g\\)",
      "D":"\\(200 - \\frac{1}{2}g\\)",
      "E":"\\(200 - \\frac{1}{4}g\\)"
    },
    "exam":"source1",
    "id":10535,
    "originalQuestionNumber":7,
    "question":"Kyanna used three pieces of ribbon, each 8 inches long, to make each hair bow for her craft project. Kyanna had a 200-foot spool of ribbon when she started. If no ribbon was wasted, which of the following represents the number of feet of ribbon that was left on the roll after she made g hair bows? (12 inches \\(=\\) 1 foot)",
    "sectionLength":18,
    "sectionNumber":4,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(c > a > b\\)",
      "B":"\\(b > c > a\\)",
      "C":"\\(b > a > c\\)",
      "D":"\\(a > c > b\\)",
      "E":"\\(a > b > c\\)"
    },
    "exam":"source1",
    "id":10536,
    "originalQuestionNumber":14,
    "question":"If a, b, and c are all integers greater than 1 and \\(ab = 14\\) and \\(bc = 21\\), which of the following must be true?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"10",
      "B":"200",
      "C":"400",
      "D":"450",
      "E":"600"
    },
    "exam":"source6",
    "id":10537,
    "originalQuestionNumber":7,
    "question":"Every year the population of Northville is \\(\\frac { 3 } { 4 } \\) of what it was 10 years earlier. If there are currently 800 people living in Northville, how many people will live there in 20 years?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"3",
      "B":"4",
      "C":"5",
      "D":"6",
      "E":"9"
    },
    "exam":"source6",
    "id":10541,
    "originalQuestionNumber":8,
    "question":"The integer 90 can be expressed as the sum of \\(z\\) consecutive integers. The value of z could be any of the following EXCEPT",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(0 < A\\)",
      "B":"\\(0 < A \\leq \\pi\\)",
      "C":"\\(A = \\pi\\)",
      "D":"\\(A > \\pi\\)",
      "E":"\\(A \\geq \\pi\\)"
    },
    "exam":"source5",
    "id":10542,
    "originalQuestionNumber":15,
    "question":"Let P and Q be points 2 inches apart, and let A be the area, in square inches, of a circle that passes through P and Q. Which of the following is the set of all possible values of A?",
    "sectionLength":16,
    "sectionNumber":9,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"Zero",
      "B":"One",
      "C":"Two",
      "D":"Three",
      "E":"Four"
    },
    "exam":"source6",
    "id":10544,
    "originalQuestionNumber":4,
    "question":"Set A consists of all integers such that each element is equal to its square. How many elements are in set A ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"6",
      "B":"12",
      "C":"24",
      "D":"36",
      "E":"48"
    },
    "exam":"source2",
    "id":10546,
    "originalQuestionNumber":5,
    "question":"For the function \\(f\\), \\(y = f(x)\\) is inversely proportional to \\(x\\). If \\(f(5) = 24\\), what is the value of \\(f(10)\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(-7\\)",
      "B":"\\(-1\\)",
      "C":"\\(\\frac{1}{2}\\)",
      "D":"1",
      "E":"7"
    },
    "exam":"source1",
    "id":10548,
    "originalQuestionNumber":13,
    "question":"If \\(\\frac{14x}{\\sqrt{2x + 2}} = 7\\), what is one possible value of x?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"-4",
      "B":"-3",
      "C":"3",
      "D":"4",
      "E":"6"
    },
    "exam":"source6",
    "id":10550,
    "originalQuestionNumber":1,
    "question":"If \\(2x + 10 = 16\\), what is the value of \\(2x -10\\) ?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(\\frac { 3 } { 7 } \\)",
      "B":"\\(\\frac { 4 } { 7 } \\)",
      "C":"\\(\\frac { 16 } { 21 } \\)",
      "D":"\\(\\frac { 21 } { 16 } \\)",
      "E":"\\(\\frac { 7 } { 3 } \\)"
    },
    "exam":"source6",
    "id":10553,
    "originalQuestionNumber":2,
    "question":"If \\(\\frac { a } { b } = \\frac { 7 } { 4 } \\), and \\(\\frac { b } { c } = \\frac { 8 } { 6 } \\), then \\(\\frac { a } { c } \\)=",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(\\frac{2}{7}\\)",
      "B":"\\(\\frac{5}{7}\\)",
      "C":"1",
      "D":"\\(\\frac{7}{5}\\)",
      "E":"\\(\\frac{49}{25}\\)"
    },
    "exam":"source1",
    "id":10554,
    "originalQuestionNumber":3,
    "question":"If \\(\\frac{x}{y} = \\frac{5}{7}\\), what is the value of \\(\\frac{7x}{5y}\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"32",
      "B":"24",
      "C":"20",
      "D":"12",
      "E":"8"
    },
    "exam":"source6",
    "id":10557,
    "originalQuestionNumber":12,
    "question":"What number is 18 more than 25\\% of itself?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"9mp",
      "B":"20mp",
      "C":"5m + 4p",
      "D":"4m + 5p"
    },
    "exam":"source7",
    "id":10560,
    "originalQuestionNumber":3,
    "question":"On Saturday afternoon, Armand sent m text messages each hour for 5 hours, and Tyrone sent p text messages each hour for 4 hours. Which of the following represents the total number of messages sent by Armand and Tyrone on Saturday afternoon?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"300 meters",
      "B":"600 meters",
      "C":"900 meters",
      "D":"1200 meters",
      "E":"1500 meters"
    },
    "exam":"source2",
    "id":10562,
    "originalQuestionNumber":10,
    "question":"An arrow is shot upward on the moon with an initial velocity of 60 meters per second and returns to the surface after 60 seconds. If the height is given by the formula \\(h = t(60 - t)\\), what is the maximum height that the arrow reaches?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"20",
      "B":"21",
      "C":"22",
      "D":"23",
      "E":"24"
    },
    "exam":"source2",
    "id":10564,
    "originalQuestionNumber":8,
    "question":"The smallest integer of a set of even consecutive integers is -20. If the sum of these integers is 72, how many integers are in this set?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(-\\frac{5}{6}\\)",
      "B":"\\(-\\frac{1}{6}\\)",
      "C":"0",
      "D":"\\(\\frac{1}{6}\\)",
      "E":"\\(\\frac{5}{6}\\)"
    },
    "exam":"source1",
    "id":10565,
    "originalQuestionNumber":4,
    "question":"If \\(m = |\\frac{1}{x}|\\) and \\(n = \\frac{1}{y}\\), what is the value of \\(m + n\\) when \\(x = -2\\) and \\(y = -3\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"16",
      "B":"20",
      "C":"24",
      "D":"28",
      "E":"32"
    },
    "exam":"source6",
    "id":10566,
    "originalQuestionNumber":1,
    "question":"If \\(3x = 8\\), what is the value of \\(3(8 - x)\\) ?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(a + b\\)",
      "B":"\\(-ab\\)",
      "C":"ab",
      "D":"\\(\\frac{b}{a}\\)",
      "E":"\\(b - a\\)"
    },
    "exam":"source1",
    "id":10567,
    "originalQuestionNumber":7,
    "question":"If a is an odd negative number and b is a positive even number, which of the following must be even and positive?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(\\frac { 1 } { 8 } \\)",
      "B":"\\(\\frac { 1 } { 4 } \\)",
      "C":"\\(\\frac { 3 } { 8 } \\)",
      "D":"\\(\\frac { 1 } { 2 } \\)",
      "E":"\\(\\frac { 5 } { 8 } \\)"
    },
    "exam":"source2",
    "id":10568,
    "originalQuestionNumber":3,
    "question":"A clever integer is defined as an integer that is greater than 20, less than 100 and such that the sum of its digits is 9. What fraction of all clever integers is divisible by 27?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"1",
      "B":"\\(\\sqrt{3}\\)",
      "C":"2",
      "D":"\\(2\\sqrt{3}\\)",
      "E":"\\(4\\sqrt{3}\\)"
    },
    "exam":"source1",
    "id":10574,
    "originalQuestionNumber":7,
    "question":"A line segment joining two points on the circumference of a circle is 1 inch from the center of the circle at its closest point. If the circle has a 2-inch radius, what is the length of the line segment?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(-12\\)",
      "B":"\\(-3\\)",
      "C":"\\(-2\\)",
      "D":"3",
      "E":"12"
    },
    "exam":"source1",
    "id":10575,
    "originalQuestionNumber":8,
    "question":"If \\(\\frac{2x + 4}{x - 3} = \\frac{4}{3}\\), then what is the value of x?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(-1\\)",
      "B":"10",
      "C":"27.3",
      "D":"674",
      "E":"1,050"
    },
    "exam":"source1",
    "id":10577,
    "originalQuestionNumber":16,
    "question":"1. Choose a number between 0 and 9.9. 2. Multiply the number from the previous step by 100. 3. Determine the smallest integer greater than or equal to the number obtained from the previous step. 4. Add 12 to the number found in the previous step. 5. Print the resulting number. Which of the following could be a number printed in step 5 after steps 1 through 4 are performed?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"30",
      "B":"42",
      "C":"50",
      "D":"60",
      "E":"75"
    },
    "exam":"source6",
    "id":10580,
    "originalQuestionNumber":6,
    "question":"After selling \\(\\frac { 1 } { 3 } \\) of the muffins he made for the school bake sale, Alan then sold an additional 10 muffins, leaving him with \\(\\frac { 1 } { 2 } \\) of the number of muffins he started with. How many muffins did Alan start with?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(xy\\)",
      "B":"\\(xz\\)",
      "C":"\\(yz\\)",
      "D":"\\(x^2z\\)",
      "E":"\\(xz^2\\)"
    },
    "exam":"source6",
    "id":10581,
    "originalQuestionNumber":13,
    "question":"If \\(xy^2z^3\\) is negative, which of the following must be negative?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"-2",
      "B":"5",
      "C":"7",
      "D":"14",
      "E":"16"
    },
    "exam":"source6",
    "id":10586,
    "originalQuestionNumber":10,
    "question":"If \\(-3 \\leq x \\leq 4\\), which of the following is NOT a possible value for \\(f(x)\\) in the function \\(f(x) = x^2 - 2\\) ?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"58",
      "B":"87",
      "C":"88",
      "D":"90",
      "E":"92"
    },
    "exam":"source1",
    "id":10587,
    "originalQuestionNumber":11,
    "question":"A class of 30 students had an average (arithmetic mean) of 92 points on a geography test out of a possible 100. If 10 of the students had a perfect score, what was the average score for the remaining students?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"III only",
      "D":"I and II",
      "E":"II and III"
    },
    "exam":"source6",
    "id":10589,
    "originalQuestionNumber":11,
    "question":"If the ratio of a to b is equal to the ratio of \\(2a\\) to \\(b\\), and \\(b \\neq 0\\), which of the following must be true? I. b = 2a II. a = 0 III. b = 2b",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"10\\%",
      "B":"45\\%",
      "C":"49\\%",
      "D":"51\\%",
      "E":"90\\%"
    },
    "exam":"source6",
    "id":10590,
    "originalQuestionNumber":18,
    "question":"The length and width of a certain rectangle are both decreased by 50 percent. If the length and width of the new rectangle are then increased by 40 percent, the area of resulting rectangle is what percent less than the area of the original rectangle?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(b + d = 4l.75 3.55(b + d) = 25\\)",
      "B":"\\(3.55 (b + d) = 41.75 l.25(b + d) = 2.30\\)",
      "C":"\\(3.55(b + d) = 41.75 1.25b + 2.30d = 25\\)",
      "D":"\\(b + d = 25 2.30b + 1.25d = 41.75\\)",
      "E":"\\(b + d = 25 1.25b + 2.30d = 41.75\\)"
    },
    "exam":"source6",
    "id":10592,
    "originalQuestionNumber":4,
    "question":"Selena has two types of records, worth a total of \\$41.75. Of her 25 records, b records are worth \\$1.25 each and the remaining d records are worth \\$2.30 each. Selena has no other types of records . Which of the following sets of equations can be solved to determine how many of each record type Selena has?",
    "sectionLength":16,
    "sectionNumber":9,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(10\\sqrt { 10 } \\)",
      "B":"100",
      "C":"\\(100\\sqrt { 10 } \\)",
      "D":"1000",
      "E":"\\(1000\\sqrt { 10 } \\)"
    },
    "exam":"source5",
    "id":10594,
    "originalQuestionNumber":6,
    "question":"If \\(x^4 = 10\\), what is \\(x^6\\) ?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"0",
      "B":"\\(x^2 - 4\\)",
      "C":"\\(x^2 + 4\\)",
      "D":"\\(4 - x^2\\)",
      "E":"\\(-4 - x^2\\)"
    },
    "exam":"source2",
    "id":10595,
    "originalQuestionNumber":1,
    "question":"If \\(|x| < 2\\), then which of the following is equivalent to \\(|x^2 - 4|\\)?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"0",
      "B":"3",
      "C":"37",
      "D":"77",
      "E":"300"
    },
    "exam":"source5",
    "id":10596,
    "originalQuestionNumber":14,
    "question":"In the sequence 1, 2, 3, -4, 1, 2, 3, -4, ... , the numbers 1, 2, 3, -4 repeat indefinitely. What is the sum of the first 150 terms?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"2",
      "B":"3",
      "C":"4",
      "D":"5",
      "E":"6"
    },
    "exam":"source6",
    "id":10598,
    "originalQuestionNumber":14,
    "question":"If \\(x\\) and \\(y\\) are positive integers, \\((3^x)^y = 81\\), and \\(3^x + 3^y = 84\\), which of the following could be the value of \\(x\\) ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"0",
      "B":"1",
      "C":"2",
      "D":"7",
      "E":"8"
    },
    "exam":"source6",
    "id":10599,
    "originalQuestionNumber":4,
    "question":"Which of the following is a product of 3 consecutive integers?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"6",
      "B":"12",
      "C":"18",
      "D":"24",
      "E":"32"
    },
    "exam":"source1",
    "id":10603,
    "originalQuestionNumber":2,
    "question":"If \\(8 \\times 27 \\times 64 = r^3\\), what is the value of r?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"Most of the students in the class are boys",
      "B":"Most of the students are older than 13 years old",
      "C":"None of the students in the class are less than 13 years old",
      "D":"Some of the students are older than or equal to 13 years old",
      "E":"Some of the students are less than 13 years old"
    },
    "exam":"source2",
    "id":10604,
    "originalQuestionNumber":8,
    "question":"IN a chemistry class, some of the students are boys and none of these boys are less than 13 years old. Which of the following MUST be true?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"120",
      "B":"130",
      "C":"135",
      "D":"140",
      "E":"150"
    },
    "exam":"source5",
    "id":10607,
    "originalQuestionNumber":9,
    "question":"What is the measure, in degrees, of the smaller angle formed by the hour hand and the minute hand of a clock at 11:20?",
    "sectionLength":16,
    "sectionNumber":9,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"1,017",
      "B":"1,018",
      "C":"1,019",
      "D":"1,020",
      "E":"1,021"
    },
    "exam":"source6",
    "id":10608,
    "originalQuestionNumber":13,
    "question":"If p is an integer between 1,000 and 1,030, and if the sum of the digits of p is odd, then p must be odd. Which of the following is one possible value of p that proves the above statement FALSE ?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(f(x) = x^2 - 8\\)",
      "B":"\\(f(x) = x^2 + 2x - 4\\)",
      "C":"\\(f(x) = \\frac { x^2 - 3 } { -2x } \\)",
      "D":"\\(f(x) = x^2 + 3x + 1\\)",
      "E":"\\(f(x) = |x-3| - 5\\)"
    },
    "exam":"source6",
    "id":10609,
    "originalQuestionNumber":9,
    "question":"If f(-3) = 1, which of the following CANNOT be f(x)?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"-3",
      "B":"0",
      "C":"1.5",
      "D":"\\(\\sqrt { 3 } \\)",
      "E":"3"
    },
    "exam":"source5",
    "id":10611,
    "originalQuestionNumber":2,
    "question":"Mr. Gomes wrote a number on the blackboard. When he added 3 to the number, he got the same result as when he multiplied the number by 3. What was the number he wrote?",
    "sectionLength":18,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(\\frac { 5 } { 8 } \\)",
      "B":"\\(\\frac { 49 } { 40 } \\)",
      "C":"\\(\\frac { 8 } { 5 } \\)",
      "D":"\\(\\frac { 40 } { 49 } \\)",
      "E":"\\(\\frac { 7 } { 8 } \\)"
    },
    "exam":"source2",
    "id":10612,
    "originalQuestionNumber":5,
    "question":"If the ratio of \\(a\\) to \\(b\\) is 7:8 and the ratio of \\(c\\) to \\(d\\) is 7:5, what is the value of \\(\\frac { ad } { bc } \\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"22 minutes and 28 minutes",
      "B":"28 minutes and 48 minutes",
      "C":"28 minutes and 58 minutes",
      "D":"42 minutes and 48 minutes",
      "E":"42 minutes and 58 minutes"
    },
    "exam":"source1",
    "id":10614,
    "originalQuestionNumber":3,
    "question":"Depending on the cycle, washing a load of clothes takes from 22 to 28 minutes. Drying takes an additional 20 to 30 minutes. What are the minimum and maximum total times to complete a load of laundry?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"mode < mean < median",
      "B":"median < mode < mean",
      "C":"median < mean < mode",
      "D":"mean < median < mean",
      "E":"mode < median < mean"
    },
    "exam":"source2",
    "id":10615,
    "originalQuestionNumber":3,
    "question":"\\begin { gather* } 1, 2, 2, 2, 3, 3, 4, 5, 8, 10 \\end { gather* } For the list of 10 numbers above, which of the following must be true?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(-\\frac { a } { b } \\)",
      "B":"\\(-\\frac { b } { a } \\)",
      "C":"\\(\\frac { a } { b } \\)",
      "D":"\\(\\frac { b } { a } \\)",
      "E":"\\(\\frac { a } { ab } \\)"
    },
    "exam":"source6",
    "id":10617,
    "originalQuestionNumber":9,
    "question":"A line passes through the points (0, a) and (b, O). Which of the following is the slope of the line?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(2 \\frac { 1 } { 3 } \\)",
      "B":"7",
      "C":"\\(9 \\frac { 2 } { 3 } \\)",
      "D":"14",
      "E":"21"
    },
    "exam":"source6",
    "id":10619,
    "originalQuestionNumber":3,
    "question":"What is nine times y if 4 more than three times y is equal to 11 ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"v = h + k - 16t",
      "B":"v = \\frac{h - k + 16}{t}",
      "C":"v = \\frac{h + k}{t} - 16t",
      "D":"v = \\frac{h - k}{t} + 16t"
    },
    "exam":"source7",
    "id":10620,
    "originalQuestionNumber":13,
    "question":"\\begin{gather} h = -16t^2 + vt + k \\end{gather} The equation above gives the height h, in feet, of a ball t seconds after it is thrown straight up with an initial speed of v feet per second from a height of k feet. Which of the following gives v in terms of h, t, and k?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"III only",
      "D":"I and II only",
      "E":"I, II, and III"
    },
    "exam":"source2",
    "id":10623,
    "originalQuestionNumber":3,
    "question":"If k is an integer and \\(k = \\frac { m } { 3 } \\) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(10\\sqrt { 10 } \\)",
      "B":"\\(15\\sqrt { 15 } \\)",
      "C":"\\(60\\sqrt { 60 } \\)",
      "D":"1000",
      "E":"3375"
    },
    "exam":"source5",
    "id":10624,
    "originalQuestionNumber":10,
    "question":"What is the volume, in cubic inches, of a cube whose surface area is 60 square inches?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\frac{5 - 2}{3}",
      "B":"5 - \\frac{2}{3}",
      "C":"5 - \\frac{2}{x + 3}",
      "D":"5 - \\frac{17}{x + 3}"
    },
    "exam":"source7",
    "id":10625,
    "originalQuestionNumber":15,
    "question":"The expression \\frac{5x - 2}{x + 3} is equivalent to which of the following?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"3",
      "B":"6",
      "C":"7",
      "D":"8",
      "E":"12"
    },
    "exam":"source6",
    "id":10627,
    "originalQuestionNumber":3,
    "question":"Faisel watches television for a total of three hours. During the first hour, he has his choice of three shows. For each of the second and third hours, he can choose from two shows. How many different schedules of shows can Faisel watch?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"III only",
      "D":"I and III only",
      "E":"I, II and III"
    },
    "exam":"source2",
    "id":10630,
    "originalQuestionNumber":14,
    "question":"If a is a real number, and if \\(a^2 - 1 = a + 1\\), which of the following could be true? I. \\(a = -1\\) II. \\(a = 1\\) III. \\(a = 2\\)",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"4",
      "B":"5",
      "C":"6",
      "D":"7",
      "E":"8"
    },
    "exam":"source6",
    "id":10631,
    "originalQuestionNumber":12,
    "question":"Theresa is comparing the length of four magazine articles. The first article begins on page 1 and ends on page 7. The second article begins on page 17 and ends on page 24. The third article begins on page 28 and ends on page 31, and the fourth article begins on page 52 and ends on page 56. What is the median number of pages in these articles?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(3.5d\\)",
      "B":"\\(365d\\)",
      "C":"\\(d + 3.5\\)",
      "D":"\\(\\frac { d } { 3.5 } \\)",
      "E":"\\(\\frac { 3.5 } { d } \\)"
    },
    "exam":"source6",
    "id":10632,
    "originalQuestionNumber":1,
    "question":"Mr. Barua teaches for 3.5 hours on each day that he is scheduled to teach. If he teaches \\(d\\) days per year, then which of the following is an expression for the total number of hours he teaches per year?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"3",
      "B":"4",
      "C":"6",
      "D":"8",
      "E":"14"
    },
    "exam":"source6",
    "id":10634,
    "originalQuestionNumber":11,
    "question":"A jar contained red and green marbles in a ratio of 3 to 4. After 6 red marbles are added to the jar, the ratio becomes 3 to 2. How many green marbles does the jar now contain?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"(-5, -2)",
      "B":"(3, -8)",
      "C":"(4, -6)",
      "D":"(9, -6)"
    },
    "exam":"source7",
    "id":10637,
    "originalQuestionNumber":9,
    "question":"\\begin{gather} 3x + 4y = -23 \\\\ 2y - x = -19 \\end{gather} What is the solution (x, y) to the system of equations above?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"-3",
      "B":"-2",
      "C":"3",
      "D":"4",
      "E":"9"
    },
    "exam":"source6",
    "id":10639,
    "originalQuestionNumber":5,
    "question":"If \\(|x - 6| = x^2\\), then \\(x\\) could equal which of the following?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(\\frac{50}{5h}\\)",
      "B":"\\(50 - 5h\\)",
      "C":"250h",
      "D":"\\(50 - \\frac{5}{h}\\)",
      "E":"\\(5h - 50\\)"
    },
    "exam":"source1",
    "id":10641,
    "originalQuestionNumber":7,
    "question":"While biking on a 50-mile path, Jerry averages 5 miles per hour for the first h hours. In terms of h, where \\(h < 10\\), how many miles remain to be traveled?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"4",
      "B":"5",
      "C":"6",
      "D":"7",
      "E":"8"
    },
    "exam":"source2",
    "id":10642,
    "originalQuestionNumber":15,
    "question":"In th \\(xy-\\) coordinate plane, the graph of \\(y = 2x^2 - 10\\) intersects the line \\(\\ell\\) at (m,8) and (n, -8). What is the greatest possible value of the slope of line \\(\\ell\\) ?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[

    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(2\\sqrt { \\frac { A } { \\pi } } \\)",
      "B":"\\(\\sqrt { \\frac { A } { \\pi } } \\)",
      "C":"\\(\\frac { A } { 2\\pi } \\)",
      "D":"\\(\\frac { A } { \\pi } \\)",
      "E":"\\(\\frac { 2\\sqrt { A } } { \\pi } \\)"
    },
    "exam":"source5",
    "id":10646,
    "originalQuestionNumber":3,
    "question":"What is the diameter of a circle whose area is A?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"0\\%",
      "B":"1\\%",
      "C":"2\\%",
      "D":"20\\%",
      "E":"No change"
    },
    "exam":"source2",
    "id":10647,
    "originalQuestionNumber":1,
    "question":"If the price of a jacket was increased by 10\\% last week and then decreased 10\\% this week, what is the overall percent change from the original price?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"4",
      "B":"6",
      "C":"8",
      "D":"14",
      "E":"18"
    },
    "exam":"source6",
    "id":10648,
    "originalQuestionNumber":11,
    "question":"If \\(n = \\frac { 3m + 2 } { 2 } \\) and the value of m is decreased by 4, then the value of n is decreased by how much?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(\\frac{2}{5}\\)",
      "B":"\\(\\frac{5}{12}\\)",
      "C":"\\(\\frac{5}{6}\\)",
      "D":"\\(\\frac{6}{5}\\)",
      "E":"\\(\\frac{12}{5}\\)"
    },
    "exam":"source1",
    "id":10649,
    "originalQuestionNumber":1,
    "question":"If \\(\\frac{2x}{3} = \\frac{4}{5}\\), then \\(x =\\)",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"0.01",
      "B":"0.1",
      "C":"1",
      "D":"10",
      "E":"100"
    },
    "exam":"source1",
    "id":10650,
    "originalQuestionNumber":2,
    "question":"If \\((0.0013)x = 0.013\\), then \\(x =\\)",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"-12",
      "B":"0",
      "C":"12",
      "D":"24",
      "E":"36"
    },
    "exam":"source5",
    "id":10655,
    "originalQuestionNumber":1,
    "question":"If \\((w + 12) - 12 = 12\\), \\(w\\) =",
    "sectionLength":18,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(\\frac { 1 } { 2 } \\)",
      "B":"\\(\\frac { 1 } { B } \\)",
      "C":"\\(\\frac { A } { B } \\)",
      "D":"\\(\\frac { A - B } { B } \\)",
      "E":"\\(\\frac { B - A } { B } \\)"
    },
    "exam":"source5",
    "id":10656,
    "originalQuestionNumber":11,
    "question":"The volume of pitcher I is A ounces, and the volume of pitcher II is B ounces, with B > A. If pitcher II is full of water and pitcher I is empty, and if just enough water is poured from pitcher II to fill pitcher I, what fraction of pitcher II is now full?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(xz\\)",
      "B":"\\(xz^2\\)",
      "C":"\\(\\frac { x } { z } \\)",
      "D":"\\(\\frac { z } { x } \\)",
      "E":"\\(\\frac { z } { x^2 } \\)"
    },
    "exam":"source6",
    "id":10660,
    "originalQuestionNumber":13,
    "question":"If \\(wx = y\\), \\(xy = z\\) and \\(wxyz \\neq 0\\), which of the following is equal to \\(w\\) ?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"-3",
      "B":"0",
      "C":"3",
      "D":"6",
      "E":"9"
    },
    "exam":"source2",
    "id":10664,
    "originalQuestionNumber":1,
    "question":"If \\(p + q - 2 = 5 \\), what is the value of \\(p + q - 7\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"1",
      "B":"2",
      "C":"3",
      "D":"4",
      "E":"5"
    },
    "exam":"source1",
    "id":10666,
    "originalQuestionNumber":17,
    "question":"When 20 is divided by the positive integer x, the remainder is 2. For how many different values of x is this true?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"200",
      "B":"250",
      "C":"300",
      "D":"350",
      "E":"400"
    },
    "exam":"source2",
    "id":10671,
    "originalQuestionNumber":16,
    "question":"According to the function \\(p(n) = \\frac { 2 } { 3 } n + 100\\), if \\(n\\) increases by 300, by how much does \\(p\\) increase?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\((0, 3)\\)",
      "B":"\\((5, 5)\\)",
      "C":"\\((0, 0)\\)",
      "D":"\\((3, -2)\\)",
      "E":"\\((-2, 5)\\)"
    },
    "exam":"source1",
    "id":10673,
    "originalQuestionNumber":7,
    "question":"Line l has an undefined slope and contains the point \\((-2,3)\\). Which of the following points is also on line l?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"4",
      "B":"7",
      "C":"8",
      "D":"10",
      "E":"12"
    },
    "exam":"source1",
    "id":10674,
    "originalQuestionNumber":5,
    "question":"If \\(x^{\\frac{y}{2}} = 64\\), where x and y are positive integers, \\(x < 64\\), \\(y > 3\\), and \\(x > y\\), what is the value of \\(x + y\\)?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"0",
      "B":"1",
      "C":"2",
      "D":"3",
      "E":"more than 3"
    },
    "exam":"source5",
    "id":10675,
    "originalQuestionNumber":8,
    "question":"For how many positive numbers \\(a\\) is it true that \\(a \\times a \\times a = a + a + a\\) ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(\\frac { 1 } { x } \\)",
      "B":"\\(\\frac { x + 1 } { x - 1 } \\)",
      "C":"\\(\\frac { x + 1 } { x } \\)",
      "D":"\\(\\frac { x - 1 } { x + 1 } \\)",
      "E":"\\(\\frac { x - 1 } { x } \\)"
    },
    "exam":"source5",
    "id":10676,
    "originalQuestionNumber":3,
    "question":"If \\(x \\neq 0\\), 1, which of the following is equivalent to \\(\\frac { x^2 - 1 } { x^2 - x } \\)?",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"6",
      "B":"12",
      "C":"34",
      "D":"38",
      "E":"40"
    },
    "exam":"source6",
    "id":10678,
    "originalQuestionNumber":1,
    "question":"If \\(3x + 1 = 19\\), then \\(6x - 2 \\)=",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(\\frac { 4\\sqrt { 3 } } { 9 } \\)",
      "B":"\\(\\frac { 4 } { 9 } \\)",
      "C":"\\(\\frac { 3 } { 4 } \\)",
      "D":"\\(\\frac { 1 } { 1 } \\)",
      "E":"\\(\\frac { 4 } { 3 } \\)"
    },
    "exam":"source5",
    "id":10680,
    "originalQuestionNumber":12,
    "question":"If a square and an equilateral triangle have equal perimeters, what is the ratio of the area of the triangle to the area of the square?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(60 \\times 2^ { -8 } \\)",
      "B":"\\(60 \\times 2^ { -4 } \\)",
      "C":"\\(60 \\times 2^4\\)",
      "D":"\\(60 \\times 4^4\\)",
      "E":"\\(60 \\times 4^8\\)"
    },
    "exam":"source5",
    "id":10681,
    "originalQuestionNumber":18,
    "question":"The number of cells growing in a particular Petri dish doubles every 30 minutes. If at 8:00 am there were 60 cells in the dish how many were there at noon of the same day?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"4",
      "B":"6",
      "C":"8",
      "D":"10",
      "E":"12"
    },
    "exam":"source2",
    "id":10683,
    "originalQuestionNumber":7,
    "question":"Two farmers, working together, can plow a field in 3 days. One farmer working alone can plow the field in 4 days. How many days will it take the second farmer, working alone, to plow the entire field?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(m - \\sqrt{n} = (m + 2)^2\\)",
      "B":"\\(m - n^2 = \\sqrt{m + n}\\)",
      "C":"\\(m - n^2 = \\sqrt{m} + \\sqrt{n}\\)",
      "D":"\\(m - \\sqrt{n} = m^2 + n ^2\\)",
      "E":"\\(m^2 - n^2 = \\sqrt{m + n}\\)"
    },
    "exam":"source1",
    "id":10685,
    "originalQuestionNumber":6,
    "question":"The difference between m and the square of n is equal to the square root of the sum of m and n. Which of the following expressions is the same as the statement above?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(ab\\)",
      "B":"\\(\\frac { a + b } { 2 } \\)",
      "C":"\\(\\frac { a - b } { 2 } \\)",
      "D":"\\(\\frac { a^2 - b^2 } { 4 } \\)",
      "E":"\\(\\frac { a^2 - b^2 } { 8 } \\)"
    },
    "exam":"source5",
    "id":10686,
    "originalQuestionNumber":16,
    "question":"If \\(x + 2y = a\\) and \\(x - 2y = b\\), which of the following is an expression for \\(xy\\)?",
    "sectionLength":16,
    "sectionNumber":9,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"202 degrees",
      "B":"250 degrees",
      "C":"350 degrees",
      "D":"363 degrees",
      "E":"405 degrees"
    },
    "exam":"source1",
    "id":10689,
    "originalQuestionNumber":4,
    "question":"The earth makes one complete rotation about its axis every 24 hours. Assuming it rotates at a constant rate, through how many degrees would Goannaville, Australia rotate from 1:00 PM on January 2 to 4:00 PM on January 3?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"4",
      "B":"12",
      "C":"20",
      "D":"64",
      "E":"68"
    },
    "exam":"source6",
    "id":10690,
    "originalQuestionNumber":5,
    "question":"If \\(\\frac { 5^a } { 5^4 } = 5^16\\)",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"a is multiplied by 27",
      "B":"a is multiplied by 12",
      "C":"a is multiplied by 9",
      "D":"a is tripled",
      "E":"a is unchanged"
    },
    "exam":"source1",
    "id":10691,
    "originalQuestionNumber":7,
    "question":"If \\(a = \\frac{12b^4}{c}\\), what happens to the value of a when both b and c are tripled?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(x < 5\\)",
      "B":"\\(x > 5\\)",
      "C":"\\(-5 < x < 5\\)",
      "D":"\\(x \\geq 5\\) or \\(x \\leq -5\\)",
      "E":"\\(-5 \\leq x \\leq 5\\)"
    },
    "exam":"source2",
    "id":10694,
    "originalQuestionNumber":16,
    "question":"Let the function \\(f\\) be defined as \\(f(x) = \\sqrt { (x - 5)(x + 5) } \\). Which of the following could represent the domain of the function \\(f\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"200",
      "B":"250",
      "C":"400",
      "D":"500",
      "E":"600"
    },
    "exam":"source5",
    "id":10695,
    "originalQuestionNumber":6,
    "question":"Steve took a bike trip in which he covered half the total distance on Monday. After going 100 kilometers on Tuesday, he determined that he still had 10\\% of the trip to complete. What was the total length, in kilometers, of the trip?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"4",
      "B":"4y",
      "C":"\\(4y^2\\)",
      "D":"\\(y^4\\)",
      "E":"\\(y^5\\)"
    },
    "exam":"source1",
    "id":10697,
    "originalQuestionNumber":16,
    "question":"If \\(y = 2^{\\frac{3}{4}}\\), which of the following expressions is equal to \\(2^3\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"3",
      "B":"4",
      "C":"5",
      "D":"6",
      "E":"8"
    },
    "exam":"source2",
    "id":10699,
    "originalQuestionNumber":6,
    "question":"If \\(m^a \\times m^b = m^5\\) and \\((m^2a)^b = m^12\\), which of the following could be a value of \\(a\\) ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(c = b + a\\)",
      "B":"\\(c = b - a\\)",
      "C":"\\(c = 2a + b\\)",
      "D":"\\(c + 2 = a + b + 3\\)",
      "E":"\\(c + 3 = a + b + 2\\)"
    },
    "exam":"source1",
    "id":10700,
    "originalQuestionNumber":17,
    "question":"If the lengths of the sides of a certain triangle are a, b, and c, which of the following statements could be true?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"0",
      "B":"2",
      "C":"3",
      "D":"5",
      "E":"6"
    },
    "exam":"source2",
    "id":10702,
    "originalQuestionNumber":9,
    "question":"For a linear function \\(f\\), \\(f(1) = 8\\) and \\(f(7) = -10\\). If \\(f(k) = 5\\), what is the value of \\(k\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(\\frac { 1 } { 2 } \\)",
      "B":"4",
      "C":"8",
      "D":"12",
      "E":"16"
    },
    "exam":"source6",
    "id":10704,
    "originalQuestionNumber":3,
    "question":"The average (arithmetic mean) of the numbers in set A is 8. If a second set of numbers, B, is created by dividing each of the numbers in set A by two, then what is the average of the numbers in set B?",
    "sectionLength":8,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"16",
      "B":"22",
      "C":"23",
      "D":"32",
      "E":"36"
    },
    "exam":"source1",
    "id":10710,
    "originalQuestionNumber":9,
    "question":"The percent increase from 6 to 16 is equal to the percent increase from 12 to what number?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"x = 1 only",
      "B":"x = -1 only",
      "C":"x = 0 or x = 1",
      "D":"x = 1 or x = -1",
      "E":"x = O or x = -1"
    },
    "exam":"source2",
    "id":10715,
    "originalQuestionNumber":4,
    "question":"For what value of \\(x\\) does \\((x-1)^3 = x^3 - 1\\) ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"4",
      "B":"5",
      "C":"11",
      "D":"33",
      "E":"34"
    },
    "exam":"source1",
    "id":10716,
    "originalQuestionNumber":1,
    "question":"What is the fewest number of 3s that can be multiplied together to yield a number greater than 100?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"III only",
      "D":"I and II only",
      "E":"I and III only"
    },
    "exam":"source2",
    "id":10717,
    "originalQuestionNumber":8,
    "question":"If \\(\\frac { m + m } { m \\times m } = \\frac { 1 } { 5 } \\), which of the following must be true? I. m = 0 II. m = 5 III. m = 10",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"6",
      "B":"7",
      "C":"8",
      "D":"10",
      "E":"14"
    },
    "exam":"source1",
    "id":10718,
    "originalQuestionNumber":9,
    "question":"If a solution of iodine and alcohol contains 4 ounces of iodine and 16 ounces of alcohol, how many ounces of alcohol must evaporate so that the ratio of iodine to the solution is 2 to 3?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"8",
      "B":"9",
      "C":"10",
      "D":"11",
      "E":"12"
    },
    "exam":"source6",
    "id":10719,
    "originalQuestionNumber":18,
    "question":"A right circular cylinder vase with an inner base radius of 6 inches is filled with water to a height of 20 inches. After a smaller solid right circular cylinder with base radius of 4 inches is then completely submerged in the water, the height of water is 24 inches. What is the height, in inches, of smaller cylinder?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"4.4",
      "B":"11",
      "C":"22",
      "D":"33",
      "E":"44"
    },
    "exam":"source1",
    "id":10721,
    "originalQuestionNumber":2,
    "question":"It takes 5 complete turns of the crank to raise a fishing rod hook 2 feet. At this rate, how many turns will it take to raise the hook 4.4 feet?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"3",
      "B":"4",
      "C":"5",
      "D":"6",
      "E":"7"
    },
    "exam":"source5",
    "id":10722,
    "originalQuestionNumber":19,
    "question":"A sequence of numbers begins 1, 1, 1, 2, 2, 3 and then repeats this pattern of six numbers forever. What is the sum of the 135th, 136th, and 137th numbers in the sequence?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\((2a)^2 + (3b)^2 + (8c - 7d) = e + 3\\)",
      "B":"\\((2a)^2 + (3b)^2 + (8c - 7d) + 3 = e\\)",
      "C":"\\((2a + 3b)^2 + (8c - 7d) + 3 = e\\)",
      "D":"\\((2a + 3b)^2 + (8c - 7d) = e + 3\\)",
      "E":"\\(2a^2 + 3b^2 + (8c - 7d) + 3 = e\\)"
    },
    "exam":"source1",
    "id":10723,
    "originalQuestionNumber":6,
    "question":"Which of the following represents the statement ``When the sum of the squares of 2a and 3b are added to the difference between 8c and 7d, the result is 3 more than e''?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"Remove step 2.",
      "B":"Remove step 3.",
      "C":"Replace step 3 with step 4 and vice versa.",
      "D":"Replace step 2 with step 4 and vice versa.",
      "E":"None of the above"
    },
    "exam":"source1",
    "id":10724,
    "originalQuestionNumber":12,
    "question":"1. Choose a number between 0.5 and 0.99. 2. Multiply the number from the previous step by 20. 3. Determine the largest integer less than or equal to the number obtained from the previous step. 4. Subtract 4 from the number obtained from the previous step. 5. Write down the resulting number. Which, if any, of the following changes could be made to the sequence of steps without changing the number written in step 5?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(L < N < V\\)",
      "B":"\\(L < V < N\\)",
      "C":"\\(N < L < V\\)",
      "D":"\\(N < V < L\\)",
      "E":"\\(V < L < N\\)"
    },
    "exam":"source1",
    "id":10727,
    "originalQuestionNumber":5,
    "question":"Laurel is taller than Nick but shorter than Vince. If we let the letters L, N, and V represent the heights of Laurel, Nick, and Vince, in that order, which of these is true?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(\\frac { \\frac { 1 } { 2 } } { 100 } \\)",
      "B":"\\(\\frac { 1 } { 200 } \\)",
      "C":"0.005",
      "D":"\\(\\frac { 5 } { 1000 } \\)",
      "E":"\\(\\frac { 1\\% } { 2\\% } \\)"
    },
    "exam":"source5",
    "id":10728,
    "originalQuestionNumber":2,
    "question":"Each of the following is equal to \\(\\frac { 1 } { 2 } \\%\\) EXCEPT",
    "sectionLength":16,
    "sectionNumber":9,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"diagram357.eps",
      "B":"diagram1222.eps",
      "C":"diagram1351.eps",
      "D":"diagram987.eps",
      "E":"diagram476.eps"
    },
    "exam":"source2",
    "id":10729,
    "originalQuestionNumber":8,
    "question":"Jimmy drove a car at a constant rate of speed to a shopping mall, spent a while in the mall, and returned home at a constant rate of speed. Which of the following graphs could correctly represent the distance from his house over time?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(5 = 3(x-3)\\)",
      "B":"\\(3 = 9(x-3)\\)",
      "C":"\\(25 = 3(x - 9)\\)",
      "D":"\\(25 = 9(x-3)\\)",
      "E":"\\(25 = 3(x -3)\\)"
    },
    "exam":"source6",
    "id":10731,
    "originalQuestionNumber":15,
    "question":"\\(\\frac { 5 } { \\sqrt { x - 3 } = 3 } \\) For \\(x > 3\\), which of the following equations is equivalent to the equation above?",
    "sectionLength":16,
    "sectionNumber":9,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"0",
      "B":"9",
      "C":"12",
      "D":"16",
      "E":"18"
    },
    "exam":"source1",
    "id":10732,
    "originalQuestionNumber":11,
    "question":"If the sum of three numbers is 27, what is the average (arithmetic mean) of the three numbers?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"8.5",
      "B":"5",
      "C":"4.5",
      "D":"4",
      "E":"3"
    },
    "exam":"source6",
    "id":10735,
    "originalQuestionNumber":11,
    "question":"\\(h(x) = \\frac { 3 } { 2 } x + 1\\) \\(f(x) = \\frac { 4 } { 3 } x\\) The functions h and f are defined above. What is the value of \\(h(5) - f(3)\\)?",
    "sectionLength":20,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(a\\) only",
      "B":"\\(b\\) only",
      "C":"\\(b\\) or \\(c\\) only",
      "D":"\\(a\\), \\(b\\), or \\(c\\) only",
      "E":"\\(a\\), \\(b\\), \\(c\\), or \\(d\\) only"
    },
    "exam":"source6",
    "id":10737,
    "originalQuestionNumber":20,
    "question":"\\(a, b, c, d\\), and \\(e\\) are all integers, where \\(a < b < c < d < e\\). If \\(c\\), \\(d\\), and \\(e\\) are each greater than the product of the next two smaller values (for example, \\(d > bc\\)), and \\(e = 6\\), which of the following could equal zero?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"1",
      "B":"3",
      "C":"6",
      "D":"9",
      "E":"27"
    },
    "exam":"source6",
    "id":10739,
    "originalQuestionNumber":8,
    "question":"Serena has three photographs from Brazil - a 1andscape, a street scene, and a portrait. She also has three photographs from Kenya - a landscape, a street scene and a portrait - and three photographs from Istanbul: a landscape, a street scene, and a portrait. Serena wants to display three photographs: one landscape, one street scene, and one portrait, and also wants to use one each from Brazil, Kenya, and Istanbul. How many different possibilities does she have?",
    "sectionLength":8,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"4",
      "B":"6",
      "C":"8",
      "D":"16"
    },
    "exam":"source7",
    "id":10742,
    "originalQuestionNumber":3,
    "question":"If a 3-pound pizza is sliced in half and each half is sliced into thirds, what is the weight, in ounces, of each of the slices? (1 pound = 16 ounces)",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"0",
      "B":"1",
      "C":"2",
      "D":"There is no such value of n."
    },
    "exam":"source7",
    "id":10743,
    "originalQuestionNumber":8,
    "question":"For what value of n is |n - 1| + 1 equal to 0?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"9",
      "B":"16",
      "C":"25",
      "D":"34",
      "E":"41"
    },
    "exam":"source6",
    "id":10746,
    "originalQuestionNumber":18,
    "question":"Each student in a cooking class of 50 students is assigned to create a dessert, an appetizer, or both. The total number of students creating an appetizer is seven more than the number of students creating a dessert. If the number of students who create two dishes is the same as number of students who create exactly one dish, how many students created one dessert?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"5",
      "B":"10",
      "C":"15",
      "D":"20",
      "E":"25"
    },
    "exam":"source1",
    "id":10747,
    "originalQuestionNumber":2,
    "question":"If you add some number j to 50, and then divide this sum by j, the result is 3. What is the value of j?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"prime",
      "B":"odd",
      "C":"even",
      "D":"divisible by 7",
      "E":"divisible by 11"
    },
    "exam":"source1",
    "id":10748,
    "originalQuestionNumber":2,
    "question":"If every digit of a whole number is either a 1 or a 7, the number must be",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"-2",
      "B":"0",
      "C":"2",
      "D":"\\(\\frac { a + b } { a - b } \\)",
      "E":"\\(\\frac { a - b } { b - a } \\)"
    },
    "exam":"source5",
    "id":10749,
    "originalQuestionNumber":19,
    "question":"If \\(a^2 \\neq b^2\\), then \\(\\frac { a^2 - b^2 } { b^2 - a^2 } + \\frac { a - b } { b - a } \\) =",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"4",
      "B":"8",
      "C":"15",
      "D":"20",
      "E":"25"
    },
    "exam":"source1",
    "id":10750,
    "originalQuestionNumber":10,
    "question":"In a certain neighborhood, the number of cats is inversely proportional to the number of dogs. At one point, there were 10 cats and 50 dogs in the neighborhood. If today there are 20 dogs in the neighborhood, how many cats are in the neighborhood?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"0",
      "B":"\\(2\\sqrt{2}\\)",
      "C":"4",
      "D":"\\(4\\sqrt{2}\\)",
      "E":"\\(\\sqrt{34}\\)"
    },
    "exam":"source1",
    "id":10752,
    "originalQuestionNumber":15,
    "question":"If for \\(x \\geq 1\\), \\(\\star x \\star\\) is defined as \\(\\star x \\star = \\sqrt{(x - 1)}\\), which of the following is equal to \\(\\star 37 \\star - \\star 5 \\star\\)?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"93",
      "B":"130",
      "C":"145",
      "D":"153",
      "E":"160"
    },
    "exam":"source1",
    "id":10755,
    "originalQuestionNumber":2,
    "question":"The length of a playground is 3 feet more than its width. If the length of the playground is 13 feet, what is the area of the playground in square feet?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"I only",
      "B":"I and II only",
      "C":"I and III only",
      "D":"II and III only",
      "E":"I, II and III"
    },
    "exam":"source2",
    "id":10756,
    "originalQuestionNumber":14,
    "question":"If \\(a\\), \\(b\\), \\(c\\) and \\(d\\) are positive integers, and \\(\\frac { a } { b } = \\frac { c } { d } = k\\), where \\(k\\) is a constant, which of the following must be true? I. \\(ad = bc\\) II. \\(\\frac { a + b } { b } = \\frac { c + d } { d } \\) III. \\(\\frac { a + c } { b + d } = k\\)",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[

    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(4a - 4\\)",
      "B":"\\(4a\\)",
      "C":"\\(4a + 2\\)",
      "D":"\\(4a + 7\\)",
      "E":"\\(4a + 13\\)"
    },
    "exam":"source6",
    "id":10758,
    "originalQuestionNumber":12,
    "question":"If \\(a = f - 2\\) and \\(b = 4f + 5 \\), which of the following is an expression for \\(b\\) in terms of \\(a\\) ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\$7.00",
      "B":"\\$7.20",
      "C":"\\$7.40",
      "D":"\\$8.00",
      "E":"\\$8.20"
    },
    "exam":"source2",
    "id":10759,
    "originalQuestionNumber":1,
    "question":"A telephone call cost 2 dollars for the first three minutes and 20 cents each additional minute. If a call started at 10:20 a.m. and ended at 10:50 a.m., how much did the call cost?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(\\frac { w - g } { w } \\)",
      "B":"\\(\\frac { w - g } { g } \\)",
      "C":"\\(\\frac { g - w } { g } \\)",
      "D":"\\(\\frac { g } { g - w } \\)",
      "E":"\\(\\frac { g - w } { w } \\)"
    },
    "exam":"source5",
    "id":10760,
    "originalQuestionNumber":9,
    "question":"If a team played g games and won w of them, what fraction of the games played did the team lose?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(\\frac { 30c } { ab } \\)",
      "B":"\\(\\frac { bc } { 30a } \\)",
      "C":"\\(\\frac { 30bc } { a } \\)",
      "D":"\\(\\frac { 30ac } { b } \\)",
      "E":"\\(\\frac { 30b } { ac } \\)"
    },
    "exam":"source6",
    "id":10761,
    "originalQuestionNumber":16,
    "question":"At a certain grocery store, \\(a\\) customers each spend an average of \\$30 every \\(b\\) hours. In dollars, how much do customers spend at this store in \\(c\\) hours?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"I and II",
      "D":"I and III",
      "E":"I, II, and III"
    },
    "exam":"source6",
    "id":10764,
    "originalQuestionNumber":16,
    "question":"If the variables \\(a\\), \\(b\\), \\(c\\), \\(d\\), and \\(e\\) have distinct values and are listed in order from least to greatest, which of the following could be true? I. \\(b\\) is arithmetic mean II. \\(e\\) is one of the modes III. \\(d\\) is the median",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\((r + s)^2 - q^2 = (t + r)^2\\)",
      "B":"\\((r + s)^2 + q^2 = (t - r)^2\\)",
      "C":"\\(\\sqrt{r + s} - q^2 = (t + r)^2\\)",
      "D":"\\(q^2 - \\sqrt{r + s} = (t - r)^2\\)",
      "E":"\\(q^2 - \\sqrt{(r + s)^2} = (t + r)^2\\)"
    },
    "exam":"source1",
    "id":10765,
    "originalQuestionNumber":12,
    "question":"Which of the following equations represents the statement ``When the square of q is subtracted from the square root of the sum of r and s, the result is equal to the square of the sum of t and r''?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(\\frac { a } { 3 } \\)",
      "B":"\\(\\frac { 2a } { 3 } \\)",
      "C":"\\(3a\\)",
      "D":"\\(6a\\)",
      "E":"\\(9a\\)"
    },
    "exam":"source2",
    "id":10767,
    "originalQuestionNumber":14,
    "question":"For the function \\(f\\), \\(f(x)\\) is inversely proportional to \\(x\\). If \\(f(k) = a\\), what is the value of \\(f(\\frac { k } { 3 } )\\) ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"30",
      "B":"40",
      "C":"60",
      "D":"90",
      "E":"120"
    },
    "exam":"source6",
    "id":10769,
    "originalQuestionNumber":11,
    "question":"Stephan takes 240 minutes to draw 20 pictures. Pavel draws three times as fast as Stephan. How many pictures can Pavel draw in 6 hours?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"22",
      "B":"24",
      "C":"28",
      "D":"30",
      "E":"33"
    },
    "exam":"source6",
    "id":10770,
    "originalQuestionNumber":18,
    "question":"If \\(m\\) and \\(n\\) are integers and \\((x + m)(x + n) = x^2 + 11x + c\\), what is the greatest possible value of \\(c\\) ?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"30",
      "B":"45",
      "C":"60",
      "D":"120",
      "E":"135"
    },
    "exam":"source1",
    "id":10771,
    "originalQuestionNumber":12,
    "question":"By noon, \\(\\frac{1}{4}\\) of Company X's employees had arrived to work. An hour later, 30 more employees had arrived, raising total attendance to \\(\\frac{1}{2}\\) of the total staff. How many employees work for Company X?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"25\\%",
      "B":"50\\%",
      "C":"75\\%",
      "D":"100\\%",
      "E":"400\\%"
    },
    "exam":"source5",
    "id":10773,
    "originalQuestionNumber":11,
    "question":"In 2000, the cost of p pounds of potatoes was d dollars. In 2010, the cost of 2p pounds of potatoes was \\(\\frac { 1 } { 2 } d\\) dollars. By what percent did the price of potatoes decrease from 2000 to 2010?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(\\frac { 2 } { 3 } y\\)",
      "B":"\\(y\\)",
      "C":"\\(\\frac { 3 } { 2 } y\\)",
      "D":"\\(2y\\)",
      "E":"\\(3y\\)"
    },
    "exam":"source5",
    "id":10774,
    "originalQuestionNumber":12,
    "question":"If \\(x = \\frac { 2 } { 3 } (x + y)\\), which of the following is an expression for \\(x\\) in terms of \\(y\\) ?",
    "sectionLength":16,
    "sectionNumber":9,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"2",
      "B":"\\(\\frac{b}{a}\\)",
      "C":"\\(\\frac{1}{\\frac{a}{b}}\\)",
      "D":"\\(\\frac{a}{2b}\\)",
      "E":"\\(\\frac{2a}{b}\\)"
    },
    "exam":"source1",
    "id":10776,
    "originalQuestionNumber":4,
    "question":"If \\(b > a > 0\\), which of the following is less than \\(\\frac{a}{b}\\)?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"13",
      "B":"46",
      "C":"77",
      "D":"103",
      "E":"113"
    },
    "exam":"source6",
    "id":10777,
    "originalQuestionNumber":4,
    "question":"If \\(f(c) = \\frac { 9 } { 5 } c + 32\\), then what is the value of \\(f(25)\\)?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"16",
      "B":"13",
      "C":"\\(6 + 2\\sqrt{7}\\)",
      "D":"11",
      "E":"\\(6 + 2\\sqrt{5}\\)"
    },
    "exam":"source1",
    "id":10778,
    "originalQuestionNumber":13,
    "question":"What is the perimeter of a triangle with vertices \\((-1, 1)\\), \\((5, 1)\\), and \\((2, 5)\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(7b + a\\)",
      "B":"\\(21b + a\\)",
      "C":"\\(7(b + a)\\)",
      "D":"\\(7(b + 3a)\\)",
      "E":"\\(7(3b + a)\\)"
    },
    "exam":"source6",
    "id":10780,
    "originalQuestionNumber":2,
    "question":"Marvin eats 3 bananas and 1 apple every day. If the cost of each banana is b dollars and the cost of each apple is a dollars, which of the following represents the total cost, in dollars, of the bananas and apples Marvin eats in 1 week? (1 week = 7 days).",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"2",
      "B":"3",
      "C":"4",
      "D":"5",
      "E":"6"
    },
    "exam":"source2",
    "id":10782,
    "originalQuestionNumber":12,
    "question":"The function \\(h\\) is defined by \\(h(x) = 3x - 2\\) and the function \\(g\\) is defined by \\(g(x) = 3h(x )- 1\\). If \\(g(k) = 11\\), what is the value of \\(k\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(\\frac { 1 } { 25 } \\)",
      "B":"\\(\\frac { 1 } { 12 } \\)",
      "C":"\\(\\frac { 1 } { 8 } \\)",
      "D":"\\(\\frac { 1 } { 6 } \\)",
      "E":"\\(\\frac { 1 } { 3 } \\)"
    },
    "exam":"source6",
    "id":10783,
    "originalQuestionNumber":5,
    "question":"A certain fraction is equivalent to n\\%, where n is an integer. Which of the following could be the value of that fraction?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"78",
      "B":"81",
      "C":"82",
      "D":"83",
      "E":"84"
    },
    "exam":"source1",
    "id":10784,
    "originalQuestionNumber":5,
    "question":"Maja has the following scores on 7 quizzes in French class: 81,76,80,84,78,91,84. What was the median score of her French quizzes?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(-10q\\)",
      "B":"\\(10q\\)",
      "C":"\\(14q - 12\\)",
      "D":"\\(28 - 6q\\)",
      "E":"\\(36q\\)"
    },
    "exam":"source1",
    "id":10785,
    "originalQuestionNumber":5,
    "question":"If \\(p = 2\\), what is \\(2q(7 - 6p)\\) in terms of q?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\$64,000",
      "B":"\\$68,000",
      "C":"\\$80,000",
      "D":"\\$96,000",
      "E":"\\$104,000"
    },
    "exam":"source6",
    "id":10787,
    "originalQuestionNumber":15,
    "question":"A 1,000 square meter parcel of land is bought for \\$300,000 and then divided into five equally sized plots. The first four plots are then sold at a price of \\$320 per square meter. If the overall profit is to be at least 20\\%, what is the minimum selling price of the fifth plot?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(\\frac { 1 } { \\pi^2 } \\)",
      "B":"\\(\\sqrt { \\pi } \\)",
      "C":"\\(\\pi\\)",
      "D":"\\(\\pi^2\\)",
      "E":"\\(4\\pi^2\\)"
    },
    "exam":"source5",
    "id":10789,
    "originalQuestionNumber":12,
    "question":"If the circumference of circle I is equal to the diameter of circle II, what is the ratio of the area of circle II to the area of circle I?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"-36",
      "B":"-6",
      "C":"6",
      "D":"36",
      "E":"There is no value of x that satisfies the equation"
    },
    "exam":"source5",
    "id":10790,
    "originalQuestionNumber":3,
    "question":"If \\(25 - 3\\sqrt { x } = 7\\), what is the value of \\(x\\) ?",
    "sectionLength":18,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(\\frac{7}{9}\\)",
      "B":"\\(\\frac{7}{3}\\)",
      "C":"\\(\\frac{9}{4}\\)",
      "D":"\\(\\frac{10}{7}\\)",
      "E":"\\(\\frac{12}{5}\\)"
    },
    "exam":"source1",
    "id":10791,
    "originalQuestionNumber":3,
    "question":"Which of the following numbers is between 1 and 2 ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"15",
      "B":"44",
      "C":"81",
      "D":"114",
      "E":"206"
    },
    "exam":"source6",
    "id":10792,
    "originalQuestionNumber":12,
    "question":"Given a sequence of integers where, starting from the first term, every third term is a multiple of 3 and every second term is a multiple of 2, which of the following could be the value of the 144th term in the sequence?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"0",
      "B":"5",
      "C":"10",
      "D":"20",
      "E":"30"
    },
    "exam":"source5",
    "id":10794,
    "originalQuestionNumber":13,
    "question":"What is the greatest value of \\(x\\) that is a solution of the following equation? \\(|x - 5| + 10 = 15\\)",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"1",
      "B":"2",
      "C":"4",
      "D":"6",
      "E":"8"
    },
    "exam":"source1",
    "id":10796,
    "originalQuestionNumber":8,
    "question":"After 4 new people entered the elevator and 2 people left the elevator, there were 2 times as many people as before. How many people were in the elevator before the changes?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"The first coin and the last coin are different types.",
      "B":"There are two adjacent gold coins in a row.",
      "C":"There are two adjacent silver coins in a row.",
      "D":"If there are two adjacent silver coins, there are also two adjacent gold coins.",
      "E":"If the last two coins are gold, there are at least two adjacent silver coins."
    },
    "exam":"source1",
    "id":10797,
    "originalQuestionNumber":11,
    "question":"In a display consisting of one row of coins, there are an equal number of silver and gold coins. Which of the following must be true?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"2",
      "B":"3",
      "C":"4",
      "D":"5",
      "E":"6"
    },
    "exam":"source1",
    "id":10799,
    "originalQuestionNumber":10,
    "question":"A bicyclist riding at 12 miles an hour for 2 hours travels twice the distance a hiker travels walking at 4 miles an hour for how many hours?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\((0, 1)\\)",
      "B":"\\((1, 1)\\)",
      "C":"\\((0, 2)\\)",
      "D":"\\((1, 3)\\)",
      "E":"\\((1, 4)\\)"
    },
    "exam":"source1",
    "id":10800,
    "originalQuestionNumber":12,
    "question":"In a coordinate plane, if points C\\((2, 5)\\), D\\((-1, 2)\\), and E\\((x, y)\\) lie on line l, which of the following could be the coordinates of point E?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"It is positive.",
      "B":"It is negative.",
      "C":"It equals zero.",
      "D":"It is undefined."
    },
    "exam":"source7",
    "id":10801,
    "originalQuestionNumber":25,
    "question":"The graph of the linear function f has intercepts at (a, 0) and (0, b) in the xy-plane. If a + b = 0 and a \\neq b, which of the following is true about the slope of the graph of f?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"-2",
      "B":"-1",
      "C":"0",
      "D":"2",
      "E":"3"
    },
    "exam":"source2",
    "id":10802,
    "originalQuestionNumber":19,
    "question":"\\begin { gather* } 5, 5k, 5k^2 , 5k^3 , ...\\end { gather* } The first term in the sequence above is 5, and each term after the first is \\(k\\) times the preceding term. If the sum of the first three terms is 15, which of the following could be the value of \\(k\\) ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"a > b",
      "B":"b > a",
      "C":"|a| > |b|",
      "D":"a = -b"
    },
    "exam":"source7",
    "id":10804,
    "originalQuestionNumber":18,
    "question":"\\begin{gather} y < -x + a \\\\ y > x + b \\end{gather} In the xy-plane, if (0, 0) is a solution to the system of inequalities above, which of the following relationships between a and b must be true?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(-\\frac { 14 } { 3 } \\)",
      "B":"\\(-\\frac { 2 } { 3 } \\)",
      "C":"\\(\\frac { 4 } { 7 } \\)",
      "D":"\\(\\frac { 2 } { 3 } \\)",
      "E":"\\(\\frac { 14 } { 3 } \\)"
    },
    "exam":"source6",
    "id":10806,
    "originalQuestionNumber":9,
    "question":"When a certain number is increased by 4, the result is equal to that number divided by 7. What is the number?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(64 km^2\\)",
      "B":"\\(96 km^2\\)",
      "C":"\\(256 km^2\\)",
      "D":"\\(576 km^2\\)",
      "E":"\\(8216 km^2\\)"
    },
    "exam":"source6",
    "id":10807,
    "originalQuestionNumber":7,
    "question":"On a map, 1 centimeter represents 6 kilometers. A square on the map with a perimeter of 16 centimeters represents a region with what area?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"1",
      "B":"2",
      "C":"3",
      "D":"4",
      "E":"5"
    },
    "exam":"source2",
    "id":10812,
    "originalQuestionNumber":6,
    "question":"\\begin { gather* } a^2 - b^2 = 12 \\\\ a + b > 4 \\end { gather* } If \\(a\\) and \\(b\\) are positive integers in the inequalities above and \\(a > b\\), what is the value of \\(a\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"15",
      "B":"20",
      "C":"25",
      "D":"30",
      "E":"35"
    },
    "exam":"source2",
    "id":10813,
    "originalQuestionNumber":13,
    "question":"In the figure above, two circles have centers at point O. If the ratio of the lengths of \\(\\overline { OA } \\) to \\(\\overline { AP } \\) is 2:3 and the length of \\(\\overbrace { AB } \\) is 10, what is the length of \\(\\overbrace { PQ } \\) ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(a + b = 0\\)",
      "B":"\\(a - b = 0\\)",
      "C":"\\(ab < 0\\)",
      "D":"\\(\\frac { a } { b } < 0\\)",
      "E":"\\(b + a > 0\\)"
    },
    "exam":"source2",
    "id":10814,
    "originalQuestionNumber":9,
    "question":"If \\(a < 0\\) and \\(b > 0\\), which of the following could not be true?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(x < 60\\)",
      "B":"\\(60 < x < 90\\)",
      "C":"\\(x = 90\\)",
      "D":"\\(x > 90\\)",
      "E":"It cannot be determined from the information given."
    },
    "exam":"source6",
    "id":10819,
    "originalQuestionNumber":15,
    "question":"In \\(\\triangle { ABC } \\) two sides, AB and BC are equal. Side AC has a length of 5, and the perimeter of \\(\\triangle { ABC } \\) is 13. If the measure of angle ABC is \\(x\\), which of the following must be true about \\(x\\)?",
    "sectionLength":14,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"III only",
      "D":"I an II only",
      "E":"II and III only"
    },
    "exam":"source2",
    "id":10822,
    "originalQuestionNumber":6,
    "question":"If \\((m - 1)(k - 1) = k - 1\\), which of the following can be true? I. \\(m = 1\\) II. \\(k = 1\\) III. \\(m = 2\\)",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(606 \\times 10^3\\)",
      "B":"\\(606 \\times 10^2\\)",
      "C":"\\(120 \\times 10^6\\)",
      "D":"\\(66 \\times 10^4\\)",
      "E":"\\(60 \\times 10^6\\)"
    },
    "exam":"source6",
    "id":10824,
    "originalQuestionNumber":9,
    "question":"\\((60 \\times 10^4) + (60 \\times 10^2)\\) =",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(-22\\)",
      "B":"\\(-18\\)",
      "C":"\\(-17\\)",
      "D":"18",
      "E":"22"
    },
    "exam":"source1",
    "id":10825,
    "originalQuestionNumber":7,
    "question":"If \\((2x^2 + 5x - 3)(4x - 1) = ax^3 + bx^2 + cx + d\\) for all values of x, what is the value of b?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\$5,000",
      "B":"\\$10,000",
      "C":"\\$64,000",
      "D":"\\$160,000",
      "E":"\\(\\$320,000 \\times 2^5\\)"
    },
    "exam":"source5",
    "id":10827,
    "originalQuestionNumber":16,
    "question":"Thirty years ago, Mr. and Mrs. Lopez purchased a house. On average, the value of the house has doubled every 6 years. If the house is worth \\$320,000 today, what did they pay for it 30 years ago?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"2",
      "B":"3",
      "C":"4",
      "D":"5",
      "E":"6"
    },
    "exam":"source2",
    "id":10829,
    "originalQuestionNumber":12,
    "question":"The function \\(h\\) is defined by \\(h(x) = 3x - 2\\) and the function \\(g\\) is defined by \\(g(x) = 3h(x )- 1\\). If \\(g(k) = 11\\), what is the value of \\(k\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(-4\\)",
      "B":"\\(-\\sqrt[6]{4}\\)",
      "C":"\\(\\sqrt[6]{4}\\)",
      "D":"4",
      "E":"\\(4^6\\)"
    },
    "exam":"source1",
    "id":10831,
    "originalQuestionNumber":4,
    "question":"If \\(x^6 + 4 = x^6 + w\\), then \\(w =\\)",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"24",
      "B":"35",
      "C":"40",
      "D":"48"
    },
    "exam":"source7",
    "id":10834,
    "originalQuestionNumber":6,
    "question":"Last week Raul worked 11 more hours than Angelica. If they worked a combined total of 59 hours, how many hours did Angelica work last week?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"The quantity supplied will decrease by 5 units.",
      "B":"The quantity supplied will increase by 5 units.",
      "C":"The quantity supplied will increase by 10 units.",
      "D":"The quantity supplied will increase by 50 units."
    },
    "exam":"source7",
    "id":10835,
    "originalQuestionNumber":17,
    "question":"\\begin{gather} S(P) = \\frac{1}{2}P + 40 \\\\ D(P) = 220 - P \\end{gather} The quantity of a product supplied and the quantity of the product demanded in an economic market are functions of the price of the product. The functions above are the estimated supply and demand functions for a certain product. The function S(P) gives the quantity of the product supplied to the market when the price is P dollars, and the function D(P) gives the quantity of the product demanded by the market when the price is P dollars. How will the quantity of the  product supplied to the market change if the price of the product is increased by \\$10?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"Each successive year, 2\\% of the initial savings is added to the value of the account.",
      "B":"Each successive year, 1.5\\% of the initial savings and \\$100 is added to the value of the account.",
      "C":"Each successive year, 1\\% of the current value is added to the value of the account.",
      "D":"Each successive year, \\$100 is added to the value of the account."
    },
    "exam":"source7",
    "id":10836,
    "originalQuestionNumber":21,
    "question":"Of the following four types of savings account plans, which option would yield exponential growth of the money in the account?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"2.25",
      "B":"3",
      "C":"3.5",
      "D":"4",
      "E":"4.75"
    },
    "exam":"source6",
    "id":10838,
    "originalQuestionNumber":8,
    "question":"The number of instances of illness that a person has in one year is inversely proportional to the average (arithmetic mean) number of hours that person sleeps per night. If last year Lori slept an average of 8 hours per night and was ill 3 times, how many times would she have been ill if she had slept an average of 6 hours per night?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"0",
      "B":"10",
      "C":"11",
      "D":"19",
      "E":"30"
    },
    "exam":"source1",
    "id":10840,
    "originalQuestionNumber":15,
    "question":"If set A is \\{3,5,7,11,19\\} and set B consists of all the even numbers between 1 and 11, how many elements are in the union of the two sets?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"9",
      "B":"18",
      "C":"27",
      "D":"36",
      "E":"48"
    },
    "exam":"source6",
    "id":10842,
    "originalQuestionNumber":16,
    "question":"If \\(m\\) and \\(n\\) are constants, what is the value of \\(n\\) if the equation \\((x + 9)(x + m) = x^2 + 4mx + n\\) is true for all values of \\(x\\)?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"5",
      "B":"5.5",
      "C":"6.5",
      "D":"23.5",
      "E":"1408"
    },
    "exam":"source5",
    "id":10843,
    "originalQuestionNumber":1,
    "question":"If an alarm beeps at a constant rate of 16 beeps per minute, how many minutes will it take to beep 88 times?",
    "sectionLength":16,
    "sectionNumber":9,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(\\frac { 2cd } { e } \\)",
      "B":"\\(\\frac { 2d } { ce } \\)",
      "C":"\\(\\frac { 2e } { cd } \\)",
      "D":"\\(\\frac { cd } { 2e } \\)",
      "E":"\\(\\frac { ce } { 2d } \\)"
    },
    "exam":"source5",
    "id":10845,
    "originalQuestionNumber":18,
    "question":"If \\(c\\) carpenters can build a garage in \\(d\\) days, how many days will it take \\(e\\) carpenters, working at the same rate, to build 2 garages?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"1",
      "B":"2",
      "C":"3",
      "D":"4",
      "E":"5"
    },
    "exam":"source6",
    "id":10849,
    "originalQuestionNumber":16,
    "question":"In rectangle EFGH, \\(\\overline { EF } \\perp \\overline { EH } \\) and GH = 4. Which of the following could be the length of \\(\\overline { EG } \\)?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"45",
      "B":"50",
      "C":"53",
      "D":"55",
      "E":"60"
    },
    "exam":"source5",
    "id":10850,
    "originalQuestionNumber":15,
    "question":"A car going 40 miles per hour set out on an 80-mile trip at 9:00 A.M. Exactly 10 minutes later, a second car left from the same place and followed the same route. How fast, in miles per hour, was the second car going if it caught up with the first car at 10:30 A.M.?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"10",
      "B":"12",
      "C":"14",
      "D":"16",
      "E":"18"
    },
    "exam":"source2",
    "id":10852,
    "originalQuestionNumber":1,
    "question":"If a = 5b + 3, how much greater is a when b = 9 than when b = 7?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"0",
      "B":"\\(-q\\)",
      "C":"1",
      "D":"s",
      "E":"q"
    },
    "exam":"source6",
    "id":10854,
    "originalQuestionNumber":13,
    "question":"If\\( q = \\frac { 1 } { s } \\) and \\(qs \\neq 0\\), what is the result of \\(\\frac { 1 + q } { 1 + s } \\) ?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"36",
      "B":"6",
      "C":"\\(\\frac { 1 } { 6 } \\)",
      "D":"\\(\\frac { 1 } { 18 } \\)",
      "E":"\\(\\frac { 1 } { 36 } \\)"
    },
    "exam":"source2",
    "id":10855,
    "originalQuestionNumber":10,
    "question":"When the number \\(k\\), where \\(k > 0\\), is cubed and multiplied by 4, the result is the same as when the number is divided by 9. What is the value of k?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"10",
      "B":"8",
      "C":"5",
      "D":"-3",
      "E":"-4"
    },
    "exam":"source2",
    "id":10856,
    "originalQuestionNumber":1,
    "question":"If \\( |k-5| \\leq 8 \\), which of the following CANNOT be the value of \\(k\\) ?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"4",
      "B":"6",
      "C":"7",
      "D":"8",
      "E":"10"
    },
    "exam":"source1",
    "id":10857,
    "originalQuestionNumber":2,
    "question":"Set A contains the letters A, E, I, O, and U. Set B contains the letters A, B, C, D, and E. What is the difference between the number of elements in the union of the two sets and the number of elements in their intersection?",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"-1",
      "B":"1",
      "C":"10",
      "D":"100",
      "E":"1,000"
    },
    "exam":"source6",
    "id":10860,
    "originalQuestionNumber":1,
    "question":"If \\(\\sqrt { x } = \\frac { x } { 10 } \\) and \\(x > 0\\), what is the value of \\(x\\) ?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"4",
      "B":"10",
      "C":"18",
      "D":"24",
      "E":"60"
    },
    "exam":"source6",
    "id":10861,
    "originalQuestionNumber":1,
    "question":"Each of the following is a factor of 120 EXCEPT",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"9",
      "B":"12",
      "C":"15",
      "D":"18",
      "E":"21"
    },
    "exam":"source1",
    "id":10862,
    "originalQuestionNumber":7,
    "question":"At a certain restaurant, there are 25 tables and each table has either 2 or 4 chairs. If there is a total of 86 chairs accompanying the 25 tables, how many tables have exactly 4 chairs?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"y = |x| - 2",
      "B":"y = x^2 - 2",
      "C":"y = (x - 2)^2",
      "D":"y = x^3 - 2"
    },
    "exam":"source7",
    "id":10863,
    "originalQuestionNumber":10,
    "question":"Which of the following equations has a graph in the xy-plane for which y is always greater than or equal to -1?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(10A\\%\\)",
      "B":"\\(\\frac { 1 } { 10A } \\%\\)",
      "C":"\\(\\frac { 10 } { A } \\%\\)",
      "D":"\\(\\frac { 100 } { A } \\%\\)",
      "E":"\\(\\frac { 1000 } { A } \\%\\)"
    },
    "exam":"source5",
    "id":10864,
    "originalQuestionNumber":8,
    "question":"10 is what percent of A?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"864",
      "B":"576",
      "C":"336",
      "D":"144",
      "E":"48"
    },
    "exam":"source6",
    "id":10866,
    "originalQuestionNumber":3,
    "question":"If a rectangular rug measures 72 inches by 96 inches, what is its area in square feet? (1 foot = 12 inches)",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"-4",
      "B":"-2",
      "C":"-\\(\\frac { 3 } { 8 } \\)",
      "D":"0",
      "E":"\\(\\frac { 3 } { 8 } \\)"
    },
    "exam":"source5",
    "id":10868,
    "originalQuestionNumber":14,
    "question":"If \\(f(x) = 3x + 8\\), for what value of a is \\(f(a) = a\\)?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"3",
      "B":"7",
      "C":"11",
      "D":"14",
      "E":"17"
    },
    "exam":"source1",
    "id":10869,
    "originalQuestionNumber":7,
    "question":"After 21 students were added to a class, there were four times as many students as before. How many students were in the class before the addition?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"III only",
      "D":"II and III only",
      "E":"I, II and III"
    },
    "exam":"source2",
    "id":10870,
    "originalQuestionNumber":18,
    "question":"If \\(a > b\\) and \\(k < 0\\), which of the following must be true? I. \\(ak > bk\\) II. \\(a^2 > b^2\\) III. \\(\\frac { a + k } { k } < \\frac { b + k } { k } \\)",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"ac",
      "B":"ab",
      "C":"bc",
      "D":"\\(\\frac{a}{c}\\)",
      "E":"\\(\\frac{c}{a}\\)"
    },
    "exam":"source1",
    "id":10873,
    "originalQuestionNumber":1,
    "question":"If a, b, and c are positive numbers and \\(abc = b^2\\), which of the following must equal b?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"-60",
      "B":"-16",
      "C":"\\(\\frac { 1 } { 16 } \\)",
      "D":"16",
      "E":"32"
    },
    "exam":"source6",
    "id":10874,
    "originalQuestionNumber":6,
    "question":"if \\(a^x = 4\\) and \\(a^c = 64\\), what is the value of \\(a^ { x - c } \\) ?",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(-4\\)",
      "B":"10",
      "C":"18",
      "D":"26",
      "E":"36"
    },
    "exam":"source1",
    "id":10875,
    "originalQuestionNumber":3,
    "question":"If \\(a - 2b = 10\\), \\(b - 3c = 5\\), and \\(c = 1\\), what is the value of a?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(x^2\\)",
      "B":"\\(xy\\)",
      "C":"\\(xy^2\\)",
      "D":"\\((x + y)^2\\)",
      "E":"\\((x - y)^2\\)"
    },
    "exam":"source6",
    "id":10877,
    "originalQuestionNumber":19,
    "question":"If \\(x\\) and \\(y\\) are distinct prime numbers, which of the following has exactly four distinct factors?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(60\\degree\\)",
      "B":"\\(90\\degree\\)",
      "C":"\\(120\\degree\\)",
      "D":"\\(180\\degree\\)",
      "E":"\\(240\\degree\\)"
    },
    "exam":"source5",
    "id":10879,
    "originalQuestionNumber":5,
    "question":"If the average (arithmetic mean) of the measures of two angles of a quadrilateral is 60 degrees, what is the average of the measures of the other two angles?",
    "sectionLength":16,
    "sectionNumber":9,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\$3.00",
      "B":"\\$4.50",
      "C":"\\$6.00",
      "D":"\\$7.50",
      "E":"\\$30.00"
    },
    "exam":"source6",
    "id":10880,
    "originalQuestionNumber":4,
    "question":"The only way to purchase Brand X muffins is to buy one or more boxes that each contain 6 muffins. Each box costs \\$1.50. If Alejandro needs at least 20 muffins, what is the least amount of money he could spend?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"6",
      "B":"8",
      "C":"10",
      "D":"12",
      "E":"14"
    },
    "exam":"source6",
    "id":10882,
    "originalQuestionNumber":12,
    "question":"A bowl contains punch made from pineapple juice, orange juice, and seltzer, in ratio of 2 : 3 : 1, respectively. If the bowl contains 2 liters of seltzer, how many liters of punch does the bowl contain?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(8x\\)",
      "B":"\\(4x\\)",
      "C":"\\(2x\\)",
      "D":"\\(x\\)",
      "E":"\\(\\frac { x } { 2 } \\)"
    },
    "exam":"source6",
    "id":10883,
    "originalQuestionNumber":1,
    "question":"If \\(10a + 8b = 4x\\), then, in terms of \\(x\\), \\(5a + 4b\\) =",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"10",
      "B":"15",
      "C":"20",
      "D":"25",
      "E":"30"
    },
    "exam":"source1",
    "id":10885,
    "originalQuestionNumber":7,
    "question":"C, D, and E are points on a line, in that order. If the length of segment CE is 30, and the length of segment CD is twice the length of DE, what is the length of segment CD?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"77",
      "B":"93",
      "C":"99",
      "D":"105"
    },
    "exam":"source7",
    "id":10887,
    "originalQuestionNumber":19,
    "question":"A food truck sells salads for \\$6.50 each and drinks for \\$2.00 each. The food truck's revenue from selling a total of 209 salads and drinks in one day was \\$836.50. How many salads were sold that day?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"24",
      "B":"30",
      "C":"36",
      "D":"40",
      "E":"48"
    },
    "exam":"source1",
    "id":10888,
    "originalQuestionNumber":17,
    "question":"A local store donated some markers to Mrs. Kettz's fourth-grade class. If each student takes 2 markers, there will be 16 markers left. If 4 students do not take any markers and the rest of the students take 6 markers, there will be no markers left. How many markers were donated to the class?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(\\frac { 1 } { 12 } \\)",
      "B":"\\(\\frac { 1 } { 6 } \\)",
      "C":"\\(\\frac { 1 } { 3 } \\)",
      "D":"\\(\\frac { 1 } { 2 } \\)",
      "E":"\\(\\frac { 2 } { 3 } \\)"
    },
    "exam":"source2",
    "id":10889,
    "originalQuestionNumber":13,
    "question":"If \\(x\\) is \\(\\frac { 2 } { 5 } \\)of \\(y\\) and \\(y\\) is \\(\\frac { 5 } { 12 } \\)of \\(z\\), what is the value of \\(\\frac { x } { z } \\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\sqrt{a^{\\frac{1}{3}}}",
      "B":"\\sqrt{a^3}",
      "C":"\\sqrt[3]{a^{\\frac{1}{2}}}",
      "D":"\\sqrt[3]{a^2}"
    },
    "exam":"source7",
    "id":10890,
    "originalQuestionNumber":3,
    "question":"Which of the following is equal to a^{\\frac{2}{3}}, for all values of a?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"If an integer is positive, it is in set T.",
      "B":"If an integer is negative, it is in set T.",
      "C":"All integers in set T are positive.",
      "D":"All integers in set T are negative.",
      "E":"Not all integers in set T are positive."
    },
    "exam":"source1",
    "id":10891,
    "originalQuestionNumber":4,
    "question":"Some integers in set T are negative. If the statement above is true, which of the following must also be true?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"2",
      "B":"8",
      "C":"18",
      "D":"36",
      "E":"72"
    },
    "exam":"source1",
    "id":10892,
    "originalQuestionNumber":8,
    "question":"If \\(\\frac{a}{b} = 4\\), \\(a = 8c\\), and \\(c = 9\\), what is the value of b?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"0",
      "B":"1",
      "C":"2",
      "D":"4"
    },
    "exam":"source7",
    "id":10894,
    "originalQuestionNumber":8,
    "question":"If \\frac{a}{b} = 2, what is the value of \\frac{4b}{a}?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(A - 998\\)",
      "B":"\\(A - 499\\)",
      "C":"\\(A + 1\\)",
      "D":"\\(A + 500\\)",
      "E":"\\(\\frac { A } { 2 } + 999\\)"
    },
    "exam":"source5",
    "id":10895,
    "originalQuestionNumber":16,
    "question":"If the sum of all the positive even integers less than 1000 is A, what is the sum of all the positive odd integers less than 1000?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"Monday",
      "B":"Tuesday",
      "C":"Thursday",
      "D":"Friday",
      "E":"Saturday"
    },
    "exam":"source2",
    "id":10896,
    "originalQuestionNumber":5,
    "question":"If 120 days ago was Friday, then 86 days from today falls on what day of the week?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"4",
      "B":"5",
      "C":"6",
      "D":"7",
      "E":"8"
    },
    "exam":"source2",
    "id":10898,
    "originalQuestionNumber":14,
    "question":"Admission to the local movie theater for a groups of 12 people is \\$3 for each child and \\$7 for each adult. If the group pays \\$64, which of the following could be the number of children in the group?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"10",
      "B":"16",
      "C":"24",
      "D":"36",
      "E":"72"
    },
    "exam":"source2",
    "id":10900,
    "originalQuestionNumber":7,
    "question":"If two coins are selected from a collection consisting of 2 pennies, 2 nickels, 2 dimes, and 2 quarters, how many different sums are possible?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(\\frac { 1000 } { r } + k\\)",
      "B":"\\(\\frac { 1000 } { r } + tk\\)",
      "C":"\\(\\frac { 1000 - k - t } { r } \\) ",
      "D":"\\(\\frac { 1000 - k } { r } + t\\) ",
      "E":"\\(\\frac { 1000 + k } { r } + kt\\)"
    },
    "exam":"source2",
    "id":10901,
    "originalQuestionNumber":20,
    "question":"The Maxim Telephone Company charges \\(k\\) cents for the first \\(t\\) minutes of a call and charges for any additional time at the rate of \\(r\\) cents per minute. If a certain customer pays \\$10, which of the following could be the length of that phone call in minutes?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(\\frac { 3 } { 4 } \\)",
      "B":"\\(\\frac { 3 } { 5 } \\)",
      "C":"\\(\\frac { 7 } { 15 } \\)",
      "D":"\\(\\frac { 7 } { 20 } \\)",
      "E":"\\(\\frac { 28 } { 45 } \\)"
    },
    "exam":"source6",
    "id":10902,
    "originalQuestionNumber":11,
    "question":"\\(\\frac { w - x } { y + z } = \\frac { 3 } { 4 } \\) In the equation above, w, x, y, and z are distinct numbers. What is the value of \\(\\frac { 7w - 7x } { 15y + 15z } \\)?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(x < 0\\)",
      "B":"\\(x > 0\\)",
      "C":"\\(-3 < x < 0\\)",
      "D":"\\(-2 < x < 1\\)",
      "E":"\\(-1 < x < 2\\)"
    },
    "exam":"source2",
    "id":10904,
    "originalQuestionNumber":17,
    "question":"If \\(|x - \\frac { 1 } { 2 } | < \\frac { 3 } { 2 } \\), which of the following must be true?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"4",
      "B":"5",
      "C":"6",
      "D":"7",
      "E":"9"
    },
    "exam":"source1",
    "id":10906,
    "originalQuestionNumber":4,
    "question":"The four-digit number 7,X7X is divisible by 3 if X is replaced by which of the following digits?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"123",
      "B":"234",
      "C":"332",
      "D":"411",
      "E":"521"
    },
    "exam":"source1",
    "id":10910,
    "originalQuestionNumber":10,
    "question":"If a ``sump'' number is defined as one in which the sum of the digits of the number is greater than the product of the digits of the same number, which of the following is a ``sump'' number?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"-2",
      "B":"-1",
      "C":"0",
      "D":"1",
      "E":"2"
    },
    "exam":"source6",
    "id":10912,
    "originalQuestionNumber":3,
    "question":"If \\(f(x) = |x| + 2\\), which of the following is the LEAST possible value of \\(f(x)\\) ?",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"III only",
      "D":"II and III only",
      "E":"I, II, and III"
    },
    "exam":"source6",
    "id":10913,
    "originalQuestionNumber":10,
    "question":"If n is an integer, which of the following must be true about \\(12n + 3\\) ? I. It is even II. It is odd III. It is divisible by 3",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(x + y - 6\\)",
      "B":"\\(y - x + 6\\)",
      "C":"\\(x + y + 6\\)",
      "D":"\\(y - x - 6\\)",
      "E":"\\(x - y + 6\\)"
    },
    "exam":"source1",
    "id":10915,
    "originalQuestionNumber":18,
    "question":"What was the initial amount of water in a barrel, in liters, if there are now x liters, y liters were lost, and 6 liters were added?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(-6\\)",
      "B":"\\(-3\\)",
      "C":"0",
      "D":"2",
      "E":"3"
    },
    "exam":"source1",
    "id":10916,
    "originalQuestionNumber":2,
    "question":"If \\(g(t) = 2t - 6\\), then at what value of t does the graph of g(t) cross the x-axis?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(a^2 + b^2\\)",
      "B":"\\((a + b)^2\\)",
      "C":"\\(a^2 + b\\)",
      "D":"\\(2a + 2b\\)",
      "E":"\\(a + b^2\\)"
    },
    "exam":"source6",
    "id":10917,
    "originalQuestionNumber":1,
    "question":"Which of the following represents \"the square of the sum of a and b\"?",
    "sectionLength":16,
    "sectionNumber":9,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"-120",
      "B":"-15",
      "C":"0",
      "D":"15",
      "E":"120"
    },
    "exam":"source5",
    "id":10918,
    "originalQuestionNumber":1,
    "question":"What is the absolute value of the product of all the integers from -6 to 3, inclusive?",
    "sectionLength":18,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"3",
      "B":"4",
      "C":"6",
      "D":"9",
      "E":"12"
    },
    "exam":"source1",
    "id":10919,
    "originalQuestionNumber":5,
    "question":"A certain fraction is equal to \\(\\frac{1}{3}\\). If 1 is subtracted from the numerator and the denominator is divided by 2, the resulting fraction is equivalent to \\(\\frac{1}{2}\\). What is the denominator of the original fraction?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"None",
      "B":"I only",
      "C":"II only",
      "D":"III only",
      "E":"I and II"
    },
    "exam":"source1",
    "id":10920,
    "originalQuestionNumber":13,
    "question":"If k and s are positive integers and the ratio of 2k to 6s is the same as the ratio of \\(6k + 5\\) to \\(18s + 10\\), which of the following must be true? I. \\(k = s\\) II. \\(k = 1.5\\) III. \\(k = 1.5s\\)",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\$1200",
      "B":"\\$1500",
      "C":"\\$1600",
      "D":"\\$2400",
      "E":"\\$2500"
    },
    "exam":"source5",
    "id":10921,
    "originalQuestionNumber":9,
    "question":"Last year Jose sold a painting for \\$2000. If he made a 25\\% profit on the sale, how much had he paid for the painting?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"0",
      "B":"1",
      "C":"a",
      "D":"\\(a^b\\)",
      "E":"c"
    },
    "exam":"source6",
    "id":10923,
    "originalQuestionNumber":15,
    "question":"If \\(a^b = 0\\), \\(c^b = c\\), \\(bc \\neq 0\\), and \\(c \\neq 1\\), what must be the value of \\(bc^a\\) ?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"8",
      "B":"6",
      "C":"4",
      "D":"2",
      "E":"1"
    },
    "exam":"source2",
    "id":10924,
    "originalQuestionNumber":17,
    "question":"Let the operation \\(\\blacktriangle\\) be defined by \\(a \\blacktriangle b = a^b - b^a\\) for all positive integers \\(a\\) and \\(b\\), where \\(a \\neq b\\). If \\(2 \\blacktriangle x = x \\blacktriangle 2\\), where \\(x\\) is a positive integer, what is the value of \\(x\\) ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"2",
      "B":"3",
      "C":"5",
      "D":"6",
      "E":"12"
    },
    "exam":"source1",
    "id":10927,
    "originalQuestionNumber":3,
    "question":"If \\(\\frac{q}{r} = 4\\), \\(\\frac{q}{s} = 6\\), and \\(s = 2\\), what is the value of r?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(b < j < s\\)",
      "B":"\\(s < j < b\\)",
      "C":"\\(j < s < b\\)",
      "D":"\\(j < b < s\\)",
      "E":"\\(b < s < j\\)"
    },
    "exam":"source1",
    "id":10928,
    "originalQuestionNumber":4,
    "question":"John has more money than Billy but less than Sean. If j, b, and s represent the amounts of money of John, Billy, and Sean, respectively, which of the following is true?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"9:8",
      "B":"5:7",
      "C":"4:5",
      "D":"3:4",
      "E":"2:3"
    },
    "exam":"source1",
    "id":10932,
    "originalQuestionNumber":7,
    "question":"The spare change on a dresser is composed of pennies, nickels, and dimes. If the ratio of pennies to nickels is 2:3 and the ratio of pennies to dimes is 3:4, what is the ratio of nickels to dimes?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"27",
      "B":"33",
      "C":"38",
      "D":"42",
      "E":"54"
    },
    "exam":"source2",
    "id":10933,
    "originalQuestionNumber":2,
    "question":"Points A, B, C, and D lie on the line in that order. If \\(AB = 2BC = 3CD = k\\) and \\(CD = 6\\), what is the distance from A to C?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"6",
      "B":"5",
      "C":"4",
      "D":"3",
      "E":"2"
    },
    "exam":"source1",
    "id":10935,
    "originalQuestionNumber":5,
    "question":"If the perimeter of a regular polygon is 21, which of the following could be the length of one side of the polygon?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"III only",
      "D":"I and III",
      "E":"II and III"
    },
    "exam":"source1",
    "id":10936,
    "originalQuestionNumber":9,
    "question":"If \\(-1 < N < 1\\) and \\(N \\neq 0\\), which of the following statements is always true? I. \\(N < 2N\\) II. \\(N^2 < N\\) III. \\(N^2 < \\frac{1}{N^2}\\)",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(0.0001pqr\\)",
      "B":"\\(0.001pqr\\)",
      "C":"\\(0.1pqr\\)",
      "D":"\\(100pqr\\)",
      "E":"\\(10000pqr\\)"
    },
    "exam":"source2",
    "id":10937,
    "originalQuestionNumber":13,
    "question":"If \\(p\\), \\(q\\), and \\(r\\) are positive, which of the following represents \\(p\\) percent of \\(q\\) percent of \\(r\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"I only",
      "B":"III only",
      "C":"I and II only",
      "D":"II and III only",
      "E":"I, II and III"
    },
    "exam":"source6",
    "id":10938,
    "originalQuestionNumber":14,
    "question":"Points A, B and C are three vertices of a triangle. The location of point X is such that AX = BX. Which of the following could be true? I. X is on \\(\\overline { AB } \\) II. X is inside \\(\\triangle { ABC } \\) III. X is outside \\(\\triangle { ABC } \\)",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"0",
      "B":"\\(\\frac { 1 } { 2 } \\)",
      "C":"1",
      "D":"b",
      "E":"\\(\\frac { 1 } { b } \\)"
    },
    "exam":"source2",
    "id":10940,
    "originalQuestionNumber":6,
    "question":"If \\(ab = k\\), \\(b = ka\\),and \\(k \\neq 0\\), which of the following could be equal to \\(a\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"5",
      "B":"6",
      "C":"7",
      "D":"7.5",
      "E":"8"
    },
    "exam":"source1",
    "id":10941,
    "originalQuestionNumber":4,
    "question":"If the length of one side of a triangle is 6 and the length of another side is 2, which of the following CANNOT be the length of the third side of the triangle?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"-20",
      "B":"-8",
      "C":"-4",
      "D":"8"
    },
    "exam":"source7",
    "id":10945,
    "originalQuestionNumber":6,
    "question":"\\begin{gather} 2x - 3y = -14 \\\\ 3x - 2y = -6 \\end{gather} If (x, y) is a solution to the system of equations above, what is the value of x - y?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"diagram1565.png",
      "B":"diagram1135.png",
      "C":"diagram128.png",
      "D":"diagram238.png"
    },
    "exam":"source7",
    "id":10946,
    "originalQuestionNumber":5,
    "question":"Which of the following graphs best shows a strong negative association between d and t?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"9",
      "B":"15",
      "C":"17",
      "D":"25",
      "E":"34"
    },
    "exam":"source5",
    "id":10948,
    "originalQuestionNumber":7,
    "question":"In square \\(ABCD\\), vertex \\(A\\) is at (-1, -1) and vertex \\(C\\) is at (4, 2). What is the area of square \\(ABCD\\)?",
    "sectionLength":18,
    "sectionNumber":7,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"x^2 + (y - 4)^2 = \\frac{25}{9}",
      "B":"x^2 + (y + 4)^2 = \\frac{25}{9}",
      "C":"x^2 + (y - 4)^2 = \\frac{5}{3}",
      "D":"x^2 + (y + 4)^2 = \\frac{3}{5}"
    },
    "exam":"source7",
    "id":10950,
    "originalQuestionNumber":24,
    "question":"Which of the following is an equation of a circle in the xy-plane with center (0, 4) and a radius with endpoint (\\frac{4}{3}, 5)?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(r < s\\)",
      "B":"\\(s < r\\)",
      "C":"\\(r > 1\\)",
      "D":"\\(s > 1\\)",
      "E":"r and s can be any numbers as long as \\(r \\neq s\\)"
    },
    "exam":"source5",
    "id":10951,
    "originalQuestionNumber":6,
    "question":"If r and s are positive numbers satisfying the inequality \\(\\frac { r } { s } < \\frac { r + 1 } { s + 1 } \\), which of the following must be true?",
    "sectionLength":18,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"All of the integers are odd.",
      "B":"All of the integers are even.",
      "C":"Two of the integers are even and one is odd.",
      "D":"At least one of the integers is odd.",
      "E":"At least one of the integers is even."
    },
    "exam":"source1",
    "id":10952,
    "originalQuestionNumber":9,
    "question":"If the product of 3 positive integers is even, which of the following must be true?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\frac{a}{b} = -\\frac{4}{7}",
      "B":"\\frac{a}{b} = \\frac{10}{7}",
      "C":"\\frac{a + b}{b} = \\frac{10}{7}",
      "D":"\\frac{a - 2b}{b} = -\\frac{11}{7}"
    },
    "exam":"source7",
    "id":10953,
    "originalQuestionNumber":6,
    "question":"If \\frac{a - b}{b} = \\frac{3}{7}, which of the following must also be true?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(f(x) = x + 5\\)",
      "B":"\\(f(x) = x - 5\\)",
      "C":"\\(f(x) = 15 - x \\)",
      "D":"\\(f(x) = 2x\\)",
      "E":"\\(f(x) = x\\)"
    },
    "exam":"source2",
    "id":10955,
    "originalQuestionNumber":3,
    "question":"Let the function \\(f\\) be defined by \\(f(2k) = 2f(k)\\) and \\(f(5) = 10\\). Which of the following functions could be the definition of \\(f(x)\\)?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"0",
      "B":"5",
      "C":"10",
      "D":"15",
      "E":"30"
    },
    "exam":"source2",
    "id":10959,
    "originalQuestionNumber":6,
    "question":"\\begin { gather* } 10, 15, 5, 10 \\end { gather* } In the sequence above, the first term is 10, the second term is 15 and each term after the second is the nonnegative difference between the two previous terms. If \\(a_n\\) is defined as the nth term, what is the value of \\(a_124\\)?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"25",
      "B":"34",
      "C":"57",
      "D":"87",
      "E":"It is not possible for Adam to do this."
    },
    "exam":"source5",
    "id":10960,
    "originalQuestionNumber":15,
    "question":"So far this year, Adam has played 30 games of chess and has won only 6 of them. What is the minimum number of additional games he must play, given that he is sure to lose at least one-third of them, so that for the year he will have won more games than he lost?",
    "sectionLength":16,
    "sectionNumber":9,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(a = 0\\)",
      "B":"\\(a = -\\frac { 1 } { 2 } \\)",
      "C":"\\(a = -1\\)",
      "D":"\\(b = 0\\)",
      "E":"\\(b = -1\\)"
    },
    "exam":"source5",
    "id":10961,
    "originalQuestionNumber":9,
    "question":"For any numbers, x and y, \\(x \\blacksquare y\\) is defined as \\(x \\blacksquare y = x^2 - y\\). If \\(a \\blacksquare b = (a + 2) \\blacksquare (b + 2)\\), which of the following must be true?",
    "sectionLength":16,
    "sectionNumber":9,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"6",
      "B":"8",
      "C":"10",
      "D":"12",
      "E":"14"
    },
    "exam":"source2",
    "id":10962,
    "originalQuestionNumber":8,
    "question":"If \\(((k^2 \\div 2) \\div 3) \\div 4 \\) is an integer, which of the following could be a value of \\(k\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(2c\\)",
      "B":"\\(\\frac { 2c } { 3 } \\)",
      "C":"\\(\\frac { a + b } { c } \\)",
      "D":"\\(\\frac { 3c } { a + b } \\)",
      "E":"\\(c - (a + b)\\)"
    },
    "exam":"source6",
    "id":10964,
    "originalQuestionNumber":13,
    "question":"If the sum of \\(a\\) and \\(b\\) is \\(c\\), what is the average (arithmetic mean) of \\(a\\), \\(b\\), and \\(c\\)?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(b + 3\\)",
      "B":"\\(b + 12\\)",
      "C":"3b",
      "D":"\\(3b + 3\\)",
      "E":"\\(3b + 12\\)"
    },
    "exam":"source1",
    "id":10965,
    "originalQuestionNumber":4,
    "question":"If \\(2x + 4 = b\\), then \\(6x + 12 =\\)",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(\\frac { 1 } { 3 } \\)",
      "B":"\\(\\frac { 1 } { 2 } \\)",
      "C":"\\(\\frac { 2 } { 7 } \\)",
      "D":"\\(\\frac { 2 } { 9 } \\)",
      "E":"\\(\\frac { 2 } { 3 } \\)"
    },
    "exam":"source2",
    "id":10966,
    "originalQuestionNumber":7,
    "question":"If \\(\\frac { a + b } { x - y } = \\frac { 1 } { 2 } \\) and \\(\\frac { a - b } { x + y } = \\frac { 2 } { 3 } \\), then \\(\\frac { 2a^2 - 2b^2 } { 3x^2 - 3y^2 } = \\)",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"x = -2 \\pm \\sqrt{2}",
      "B":"x = -2 \\pm \\frac{\\sqrt{30}}{3}",
      "C":"x = -6 \\pm \\sqrt{2}",
      "D":"x = -6 \\pm 6\\sqrt{2}"
    },
    "exam":"source7",
    "id":10971,
    "originalQuestionNumber":14,
    "question":"What are the solutions to 3x^2 + 12x + 6 = 0?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(-\\frac { 5 } { 3 } \\)",
      "B":"\\(-\\frac { 3 } { 5 } \\)",
      "C":"0",
      "D":"\\(\\frac { 5 } { 3 } \\)",
      "E":"3"
    },
    "exam":"source5",
    "id":10972,
    "originalQuestionNumber":7,
    "question":"If \\(f(x) = 3 + \\frac { 5 } { x } \\) , which of the following CANNOT be a value of \\(f(x)\\)?",
    "sectionLength":18,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"10",
      "B":"12",
      "C":"33",
      "D":"248",
      "E":"468.75"
    },
    "exam":"source1",
    "id":10977,
    "originalQuestionNumber":4,
    "question":"The force needed to stretch a spring varies directly with the distance the spring is stretched from its equilibrium position. If 50 pounds of force stretch a spring 8 inches from equilibrium, how much, in inches, will the spring be stretched by a force of 75 pounds?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(n = 2d - 10\\)",
      "B":"\\(n = 2(d - 10)\\)",
      "C":"\\(n = 10 - 2d\\)",
      "D":"\\(n = 2(10 - d)\\)",
      "E":"\\(n = 10 - (d +2)\\)"
    },
    "exam":"source6",
    "id":10978,
    "originalQuestionNumber":2,
    "question":"Nora has 10 fewer than twice the number of CDs that Deborah has. If n represents the number of Nora's CDs, and d represents the number of Deborah's CDs, which of the following is a correct equation relating n and d ?",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"r > 0",
      "B":"s < 0",
      "C":"t < 0",
      "D":"su > 0",
      "E":"st > 0"
    },
    "exam":"source2",
    "id":10982,
    "originalQuestionNumber":8,
    "question":"If \\(r^2s^3t^4u > 0\\), then which of the following must be true?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"21",
      "B":"28",
      "C":"49",
      "D":"63",
      "E":"81"
    },
    "exam":"source2",
    "id":10983,
    "originalQuestionNumber":1,
    "question":"If \\(3(a + 2b) = 7\\), what is the value of \\(9a + 18b\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"diagram106.eps",
      "B":"diagram1643.eps",
      "C":"diagram733.eps",
      "D":"diagram1624.eps",
      "E":"diagram225.eps"
    },
    "exam":"source6",
    "id":10984,
    "originalQuestionNumber":8,
    "question":"During six weeks in October and November, a snack stand sold fewer ice cream cones each week. During this same period the snack stand sold a greater number of cups of soup each week. Which of the following scatterplots could correctly represent sales of ice cream cones and cups of soup over this six week period?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "other"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(a + b = 0\\)",
      "B":"\\(\\frac { a } { b } < 0\\)",
      "C":"\\(a + b < 0\\)",
      "D":"\\(a + b > 0\\)",
      "E":"\\(ab > 0\\)"
    },
    "exam":"source6",
    "id":10986,
    "originalQuestionNumber":8,
    "question":"If \\(a > 0\\) and \\(b < 0\\), which of the following must be true?",
    "sectionLength":14,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(15z\\)",
      "B":"\\(2z\\)",
      "C":"\\(1.5z\\)",
      "D":"\\(z\\)",
      "E":"\\(0.15z\\)"
    },
    "exam":"source6",
    "id":10988,
    "originalQuestionNumber":6,
    "question":"How much greater than 15\\% of z is 30\\% of \\(z\\) ?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"40",
      "B":"24",
      "C":"16",
      "D":"8",
      "E":"1"
    },
    "exam":"source1",
    "id":10989,
    "originalQuestionNumber":2,
    "question":"Jeweler A can set an average round-cut diamond in 20 minutes. Jeweler B requires 15 minutes to set the same type of diamond. In 8 hours, how many more diamonds can be set by Jeweler B than by Jeweler A?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"4",
      "B":"7",
      "C":"9",
      "D":"18",
      "E":"It cannot be determined from the information given."
    },
    "exam":"source1",
    "id":10990,
    "originalQuestionNumber":12,
    "question":"If a linear function passes through the points \\((1, a)\\), \\((2, b)\\), and \\((4,18)\\), what is the value of \\(\\frac{3}{2}b - a\\)?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"1 : 9",
      "B":"1 : 3",
      "C":"1 : 1",
      "D":"3 : 1",
      "E":"9 : 1"
    },
    "exam":"source5",
    "id":10991,
    "originalQuestionNumber":10,
    "question":"If Anthony had 3 times as many marbles as he actually has, he would have 5 as many marbles as Billy has. What is the ratio of the number of marbles Anthony has to the number of marbles Billy has?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"m + 6",
      "B":"m + 7",
      "C":"2m + 14",
      "D":"3m + 21"
    },
    "exam":"source7",
    "id":10992,
    "originalQuestionNumber":29,
    "question":"If x is the average (arithmetic mean) of m and 9, y is the average of 2m and 15, and z is the average of 3m and 18, what is the average of x, y, and z in terms of m?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"-5",
      "B":"-3",
      "C":"-1",
      "D":"1",
      "E":"3"
    },
    "exam":"source6",
    "id":10993,
    "originalQuestionNumber":11,
    "question":"If \\(7^ { x+3 } + 7^2 = 98\\), what is \\(x \\)?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(y^2z^2 < 0\\)",
      "B":"\\(yz^2 < 0\\)",
      "C":"\\(y^2 z < 0\\)",
      "D":"\\(yz < 0\\)",
      "E":"\\(y^3z < 0\\)"
    },
    "exam":"source6",
    "id":10996,
    "originalQuestionNumber":20,
    "question":"If \\(y < O\\) and \\(z \\neq O\\), each of the following could be true EXCEPT",
    "sectionLength":20,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"120",
      "B":"121",
      "C":"123",
      "D":"124",
      "E":"130"
    },
    "exam":"source2",
    "id":10998,
    "originalQuestionNumber":16,
    "question":"The number 0.1234 is between \\(\\frac { n } { 1000 } \\) and \\(\\frac { n + 1 } { 1000 } \\) for some positive integer \\(n\\). Which of the following is the value of \\(n\\) ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"83",
      "B":"84",
      "C":"85",
      "D":"86",
      "E":"87"
    },
    "exam":"source2",
    "id":10999,
    "originalQuestionNumber":15,
    "question":"At the beginning of the school year, Lisa's goal was to earn an average of 80\\% of her 50 quizzes for the year. She earned and average of 78\\% of the first 30 quizzes. If she wants to achieve her goal, what must be her average of the remaining quizzes?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"8x^2 - 7x - 4",
      "B":"8x^2 + 7x - 4",
      "C":"8x^4 - 7x^2 - 4",
      "D":"8x^4 + 7x^2 - 4"
    },
    "exam":"source7",
    "id":11000,
    "originalQuestionNumber":6,
    "question":"\\begin{gather} 3x^2 - 5x + 2 \\\\ 5x^2 - 2x - 6 \\end{gather} Which of the following is the sum of the two polynomials shown above?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"-8",
      "B":"-2",
      "C":"3",
      "D":"4",
      "E":"8"
    },
    "exam":"source2",
    "id":11001,
    "originalQuestionNumber":7,
    "question":"For positive integers \\(x\\) and \\(y\\), \\(x + y = 20\\). Which of the following cannot be a possible value of \\(x - y\\) ?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(p - t\\)",
      "B":"\\(p + t\\)",
      "C":"\\(\\frac { p - t } { 2 } \\)",
      "D":"\\(\\frac { p + t } { 2 } \\)",
      "E":"\\(2p - t\\)"
    },
    "exam":"source2",
    "id":11002,
    "originalQuestionNumber":3,
    "question":"A father is \\(t\\) inches taller than his son. If their total height is \\(p\\), in terms of \\(p\\) and \\(t\\), what is the father's height, in inches?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(6z^2 = (z + 6)^2\\)",
      "B":"\\((6z)^2 = z^2 + 6^2\\)",
      "C":"\\(6^2 z = z^2 - 6^2\\)",
      "D":"\\((6z)^2 = (z - 6)^2\\)",
      "E":"\\(6z^2 = z^2 + 6^2\\)"
    },
    "exam":"source1",
    "id":11003,
    "originalQuestionNumber":7,
    "question":"Squaring the product of z and 6 gives the same result as squaring the difference of z and 6. Which of the following equations could be used to find all the possible values of z?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\$5",
      "B":"\\$10",
      "C":"\\$15",
      "D":"\\$20",
      "E":"\\$25"
    },
    "exam":"source1",
    "id":11004,
    "originalQuestionNumber":1,
    "question":"If Thomas went shopping with $15 and ended up with a debt of $5, how much money did he spend?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"4",
      "B":"6",
      "C":"8",
      "D":"\\(x + 4\\)",
      "E":"\\(x + 8\\)"
    },
    "exam":"source1",
    "id":11005,
    "originalQuestionNumber":9,
    "question":"The value of \\(x + 6\\) is how much greater than the value of \\(x - 2\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(-5\\)",
      "B":"\\(-\\frac{19}{6}\\)",
      "C":"\\(-3\\)",
      "D":"5",
      "E":"15"
    },
    "exam":"source1",
    "id":11006,
    "originalQuestionNumber":14,
    "question":"If \\(|12r - 2| = 58\\) and \\(|3r + 2| = 17\\), then what is the value of r?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(\\frac { 1 } { 9 } \\)",
      "B":"\\(\\frac { 1 } { 5 } \\)",
      "C":"\\(\\frac { 1 } { 3 } \\)",
      "D":"\\(\\frac { 3 } { 8 } \\)",
      "E":"\\(\\frac { 1 } { 2 } \\)"
    },
    "exam":"source5",
    "id":11008,
    "originalQuestionNumber":2,
    "question":"If a mixture of nuts consists of 3 pounds of peanuts, I pound of walnuts, and 5 pounds of cashews, by weight, what fraction of the mixture is peanuts?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"35",
      "B":"45",
      "C":"55",
      "D":"75",
      "E":"95"
    },
    "exam":"source5",
    "id":11010,
    "originalQuestionNumber":1,
    "question":"If \\(2x - 1 = 9\\), what is \\(10x - 5\\) ?",
    "sectionLength":16,
    "sectionNumber":9,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"45x",
      "B":"24x^2 + 3",
      "C":"24x^2 + 18x + 3",
      "D":"18x^2 + 6"
    },
    "exam":"source7",
    "id":11012,
    "originalQuestionNumber":5,
    "question":"\\begin{gather} 3(2x + 1)(4x + 1) \\end{gather} Which of the following is equivalent to the expression above?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(k - 5 \\)",
      "B":"\\(k + 5\\)",
      "C":"\\(k^2 - 5 \\)",
      "D":"\\((k + 5)(k - 5)\\)",
      "E":"\\(k(k - 5)\\)"
    },
    "exam":"source2",
    "id":11013,
    "originalQuestionNumber":5,
    "question":"If \\(k\\) is a negative number, which of the following must be a positive number?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"-6",
      "B":"-2",
      "C":"\\(\\frac { 1 } { 4 } \\)",
      "D":"\\(\\frac { 2 } { 3 } \\)",
      "E":"6"
    },
    "exam":"source6",
    "id":11015,
    "originalQuestionNumber":11,
    "question":"What is the value of \\(b\\) if \\(1 - \\frac { 4 } { b } = \\frac { 5 } { 3 } \\) ?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"2.5",
      "B":"20",
      "C":"35",
      "D":"40",
      "E":"70"
    },
    "exam":"source1",
    "id":11016,
    "originalQuestionNumber":14,
    "question":"If \\(q = \\frac{5}{4}st\\), what is the value of t when \\(s = 2\\) and \\(q = 50\\)?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"2",
      "B":"\\(\\frac { 2(x + 2 } { x - 2 } \\)",
      "C":"\\(\\frac { 2(x + 4) } { x - 4 } \\)",
      "D":"\\(\\frac { 2x + 2 } { x - 2 } \\)",
      "E":"\\(\\frac { 6 } { 4x - 4 } \\)"
    },
    "exam":"source5",
    "id":11019,
    "originalQuestionNumber":7,
    "question":"Which of the following is equivalent to \\(\\frac { 2x^2 - 8 } { x^2 - 4x + 4 } \\)?",
    "sectionLength":18,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"9 and 8",
      "B":"8 and 7",
      "C":"7 and 6",
      "D":"6 and 5",
      "E":"5 and 4"
    },
    "exam":"source1",
    "id":11020,
    "originalQuestionNumber":4,
    "question":"Between which two digits of the number 987,654 should a decimal point be placed so that the value of the resulting number is equal to \\(9.87654 \\times 10^4\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(\\frac{3}{7}\\)",
      "B":"\\(\\frac{3}{10}\\)",
      "C":"\\(\\frac{3}{11}\\)",
      "D":"\\(\\frac{6}{19}\\)",
      "E":"\\(\\frac{1}{4}\\)"
    },
    "exam":"source1",
    "id":11021,
    "originalQuestionNumber":14,
    "question":"Sharon has exactly 6 quarters, 5 dimes, and 10 nickels in her pocket. She pulls out a coin at random and puts it aside since the coin is not a quarter. If she pulls out a second coin at random from her pocket, what is the probability that the second coin is a quarter?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"0.032",
      "B":"0.32",
      "C":"3.2",
      "D":"32",
      "E":"320"
    },
    "exam":"source6",
    "id":11023,
    "originalQuestionNumber":1,
    "question":"If \\((0.008)x = 0.032\\), then what is the value of \\(0.08x\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(\\frac { 2 } { 3 } \\)",
      "B":"\\(\\frac { 4 } { 3 } \\)",
      "C":"2",
      "D":"3",
      "E":"\\(\\frac { 9 } { 2 } \\)"
    },
    "exam":"source2",
    "id":11024,
    "originalQuestionNumber":20,
    "question":"Let the function \\(g(x)\\) be defined by \\(g(x) = 2f(x) + k\\) , where \\(f(x)\\) is a linear function. If \\(g(2) = 10\\) and \\(g(5) = 18\\), what is the slope of function \\(f\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(x^2\\)",
      "B":"\\(\\sqrt { x } \\)",
      "C":"\\(\\frac { 1 } { \\sqrt { x } } \\)",
      "D":"\\(\\frac { 1 } { x } \\)",
      "E":"\\(\\frac { 1 } { x^2 } \\)"
    },
    "exam":"source6",
    "id":11026,
    "originalQuestionNumber":15,
    "question":"If x is directly proportional to \\(\\sqrt { y } \\), then y is inversely proportional to",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(\\frac{c}{9a}\\)",
      "B":"\\(\\frac{c}{3} - a\\)",
      "C":"\\(\\frac{c}{3} + a\\)",
      "D":"\\(\\frac{c}{3} - 3a\\)",
      "E":"\\(\\frac{c}{3} + 3a\\)"
    },
    "exam":"source1",
    "id":11028,
    "originalQuestionNumber":17,
    "question":"If \\(3a + 3(b + 1) = c\\), what is \\(b + 1\\) in terms of a and c?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(\\frac{1}{2}\\)",
      "B":"2",
      "C":"4",
      "D":"16",
      "E":"256"
    },
    "exam":"source1",
    "id":11029,
    "originalQuestionNumber":5,
    "question":"If \\(x^{\\frac{1}{2}} = 4\\), then what is the value of \\(x^2\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(\\frac { 1 } { 4 } \\)",
      "B":"\\(\\frac { 1 } { 2 } \\)",
      "C":"2",
      "D":"4",
      "E":"8"
    },
    "exam":"source2",
    "id":11031,
    "originalQuestionNumber":7,
    "question":"In the equation \\(S = 4\\pi r^2h\\), if the value of \\(S\\) is doubled, and the value of \\(r\\) is doubled, then the value of \\(h\\) is multiplied by...",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"45",
      "B":"90",
      "C":"450",
      "D":"500",
      "E":"900"
    },
    "exam":"source2",
    "id":11033,
    "originalQuestionNumber":5,
    "question":"What is the sum of 15 consecutive integers if the middle integer is 60?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"The average of the scores",
      "B":"The highest score",
      "C":"The number of scores",
      "D":"The number of possible scores",
      "E":"The sum of the scores"
    },
    "exam":"source1",
    "id":11034,
    "originalQuestionNumber":6,
    "question":"Let X represent the average (arithmetic mean) of a list of test scores. What is the result of multiplying X by the number of scores?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(a = b = c\\)",
      "B":"\\(a > b > c\\)",
      "C":"\\(b > c > a\\)",
      "D":"\\(c > b > a\\)",
      "E":"\\(b > a > c\\)"
    },
    "exam":"source2",
    "id":11036,
    "originalQuestionNumber":8,
    "question":"The various averages (arithmetic mean) of two of the three numbers a, b, and c are calculated, and are arranged as follows: \\(P\\) = The average of \\(a\\) and \\(b\\) \\(Q\\) = The average of \\(b\\) and \\(c\\) \\(R\\) = The average of \\(c\\) and \\(a\\) If \\(P > Q > R\\), then which of the following is true?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"125",
      "B":"64",
      "C":"27",
      "D":"24",
      "E":"9"
    },
    "exam":"source2",
    "id":11037,
    "originalQuestionNumber":2,
    "question":"A large cube, 5 cm by 5 cm by 5 cm is painted orange on all six faces, and then it is cut into 125 small cubes, each 1 cm by 1 cm by 1 cm. How many of the small cubes are not painted orange on any face?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"2",
      "B":"4",
      "C":"8",
      "D":"12",
      "E":"16"
    },
    "exam":"source6",
    "id":11038,
    "originalQuestionNumber":11,
    "question":"If \\(a + b - c = d + 6\\), \\(c - b = 8\\), and \\(3a = 2 - d\\), what is the value of \\(a\\)?",
    "sectionLength":16,
    "sectionNumber":9,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"0.010204...",
      "B":"0.027027...",
      "C":"0.03333333...",
      "D":"0.09090909...",
      "E":"0.1"
    },
    "exam":"source6",
    "id":11040,
    "originalQuestionNumber":13,
    "question":"The number represented by \\(\\frac { 1 } { x } \\) has a tens digit larger than its units digit. If the tens digit of \\(\\frac { 1 } { x } \\) is odd, what is the greatest possible value of x?",
    "sectionLength":16,
    "sectionNumber":9,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"0",
      "B":"\\(\\frac { 1 } { 3 } \\)",
      "C":"2",
      "D":"\\(\\frac { 7 } { 2 } \\)",
      "E":"4"
    },
    "exam":"source6",
    "id":11041,
    "originalQuestionNumber":1,
    "question":"If \\(x^3 = 1\\), what is the value of \\(\\frac { x^2 + 3 } { x } \\) ?",
    "sectionLength":8,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"5",
      "B":"6",
      "C":"7",
      "D":"8",
      "E":"9"
    },
    "exam":"source2",
    "id":11042,
    "originalQuestionNumber":10,
    "question":"The first term of a sequence is \\(a\\). Every term after the first is equal to \\(d\\) plus the preceding term. If the seventh term is 20 and the fourth term is 11, what is the value of \\(a + d\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"13",
      "B":"6",
      "C":"3",
      "D":"-3",
      "E":"-6"
    },
    "exam":"source6",
    "id":11043,
    "originalQuestionNumber":6,
    "question":"If \\(a\\) is 4 greater than \\(b\\) and \\(a^2 + b^2 = 10\\), what is the value of \\(ab\\) ?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"4",
      "B":"5",
      "C":"6",
      "D":"8",
      "E":"9"
    },
    "exam":"source5",
    "id":11044,
    "originalQuestionNumber":17,
    "question":"A circular grass field has a circumference of \\(120\\sqrt { \\pi } \\) meters. If Eric can mow 400 square meters of grass per hour, how many hours will he take to mow the entire field?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"1",
      "B":"3",
      "C":"5",
      "D":"25",
      "E":"125"
    },
    "exam":"source1",
    "id":11046,
    "originalQuestionNumber":16,
    "question":"What is the least positive integer a for which 25a is the cube of an integer?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(6b^2 - 48b + 96\\)",
      "B":"\\(6b^2 - 57b + 132\\)",
      "C":"\\(6b^2 - 57b + 144\\)",
      "D":"\\(6b^2 - 9b - 132\\)",
      "E":"\\(6b^2 - 9b + 144\\)"
    },
    "exam":"source1",
    "id":11047,
    "originalQuestionNumber":18,
    "question":"If \\(a = 3(2c^2 + 3c + 4)\\) and \\(b = -c + 4\\), what is a in terms of b?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"-2",
      "B":"-1",
      "C":"0",
      "D":"1",
      "E":"2"
    },
    "exam":"source2",
    "id":11048,
    "originalQuestionNumber":11,
    "question":"If \\(3^ { x^2 + y^2 } = \\frac { 1 } { 9^xy } \\), what is the value of \\(x + y\\) ?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"f(x) = x^2 - 24",
      "B":"f(x) = x^2 + 2x - 24",
      "C":"f(x) = (x - 1)^2 - 21",
      "D":"f(x) = (x + 1)^2 - 25"
    },
    "exam":"source7",
    "id":11050,
    "originalQuestionNumber":28,
    "question":"\\begin{gather} f(x) = (x + 6)(x - 4) \\end{gather} Which of the following is an equivalent form of the function f above in which the minimum value of f appears as a constant or coefficient?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"F is doubled",
      "B":"F is tripled",
      "C":"F is multiplied by 8",
      "D":"F is multiplied by 12",
      "E":"F is multiplied by 18"
    },
    "exam":"source2",
    "id":11051,
    "originalQuestionNumber":10,
    "question":"If \\(F = k \\frac { v^2 } { r } \\), where \\(k\\) is a constant, what happens to the value of F when \\(v\\) is tripled and \\(r\\) is halved?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"100",
      "B":"180",
      "C":"250",
      "D":"360",
      "E":"420"
    },
    "exam":"source1",
    "id":11052,
    "originalQuestionNumber":2,
    "question":"If the average (arithmetic mean) of 6 numbers is greater than 30 and less than 60, which of the following could be the sum of the 6 numbers?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"Eight",
      "B":"Seven",
      "C":"Six",
      "D":"Five",
      "E":"Four"
    },
    "exam":"source6",
    "id":11053,
    "originalQuestionNumber":13,
    "question":"In a certain polygon, all of the angles are equal and all of the sides are of equal length. Point Q is a vertex of the polygon. If four diagonals can be drawn from point Q to the other vertices of the polygon, how many sides does the polygon have?",
    "sectionLength":14,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(pq\\)",
      "B":"\\(p + q\\)",
      "C":"\\(p - q\\)",
      "D":"\\(\\frac { p } { q } \\)",
      "E":"\\(\\frac { q } { p } \\)"
    },
    "exam":"source2",
    "id":11054,
    "originalQuestionNumber":4,
    "question":"If \\(p < q < 0\\), which of the following MUST be greater than 1?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"Between 0 and 30 minutes",
      "B":"Between 40 and 60 minutes",
      "C":"Between 50 and 65 minutes",
      "D":"Between 70 and 90 minutes"
    },
    "exam":"source7",
    "id":11055,
    "originalQuestionNumber":1,
    "question":"John runs at different speeds as part of his training program. The graph shows his target heart rate at different times during his workout. On which interval is the target heart rate strictly increasing then strictly decreasing? \\{SATSampleTest1-2\\}",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"128",
      "B":"80",
      "C":"64",
      "D":"32",
      "E":"16"
    },
    "exam":"source1",
    "id":11056,
    "originalQuestionNumber":3,
    "question":"There are a total of 256 people at a party. If after every 5 minutes, half of the people present leave, how many people will still remain after 20 minutes?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"1",
      "B":"2",
      "C":"3",
      "D":"4",
      "E":"5"
    },
    "exam":"source1",
    "id":11057,
    "originalQuestionNumber":9,
    "question":"If \\(4^{4x + 6} = 64^{2x}\\), what is the value of x?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"70\\%",
      "B":"75\\%",
      "C":"80\\%",
      "D":"85\\%",
      "E":"90\\%"
    },
    "exam":"source6",
    "id":11059,
    "originalQuestionNumber":5,
    "question":"Eva and Magnus took a road trip and shared the driving. Eva drove four times as many miles as Magnus drove. What percent of the total miles of the trip did Eva drive?",
    "sectionLength":16,
    "sectionNumber":9,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(\\frac { 1 } { 24 } \\)",
      "B":"\\(\\frac { 1 } { 12 } \\)",
      "C":"\\(\\frac { 7 } { 12 } \\)",
      "D":"\\(\\frac { 3 } { 4 } \\)",
      "E":"It depends on the number of pens in the box."
    },
    "exam":"source6",
    "id":11063,
    "originalQuestionNumber":14,
    "question":"A certain box contains only black, blue, and red pens. If a pen is chosen at random from the box, the probability of choosing a black pen is \\(\\frac { 1 } { 4 } \\) and the probability of choosing a blue pen is \\(\\frac { 1 } { 6 } \\). What is the probability of choosing a red pen?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"I and III",
      "D":"II and III",
      "E":"I, II, and III"
    },
    "exam":"source6",
    "id":11064,
    "originalQuestionNumber":17,
    "question":"The values of \\(x\\) and y are such that \\(f(x) = f(2y)\\) for a certain function \\(f\\). Which of the following is equivalent to \\(f(x) + f(x)\\) ? I. \\(2f(2y)\\) II. \\(f(4y)\\) III. \\(2 (f(y) + f(y))\\)",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"169",
      "B":"144",
      "C":"81",
      "D":"64",
      "E":"37"
    },
    "exam":"source1",
    "id":11066,
    "originalQuestionNumber":5,
    "question":"A ``complex prime'' is any integer greater than 1 that has exactly three positive integer factors--itself, its square root, and 1. Of the following, which is a complex prime?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"6",
      "B":"9",
      "C":"14",
      "D":"20",
      "E":"34"
    },
    "exam":"source6",
    "id":11068,
    "originalQuestionNumber":4,
    "question":"\\(a + b + c = 4\\) \\(d + e = 5 \\) What is the value of \\(ae + ce + bd + be + cd + ad\\) ?",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"None",
      "B":"1",
      "C":"More than 1 but less than 142",
      "D":"142",
      "E":"More than 142"
    },
    "exam":"source5",
    "id":11069,
    "originalQuestionNumber":4,
    "question":"How many primes less than 1000 are divisible by 7?",
    "sectionLength":16,
    "sectionNumber":9,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"Carnation",
      "B":"Daffodil",
      "C":"Larkspur",
      "D":"Tiger lily",
      "E":"Zinnia"
    },
    "exam":"source1",
    "id":11072,
    "originalQuestionNumber":4,
    "question":"A gardener plants flowers in the following order: carnations, daffodils, larkspurs, tiger lilies, and zinnias. If the gardener planted 47 flowers, what kind of flower did he plant last?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"4",
      "B":"8",
      "C":"12",
      "D":"16",
      "E":"32"
    },
    "exam":"source2",
    "id":11073,
    "originalQuestionNumber":12,
    "question":"If a positive number a is 150 percent of \\(4p\\), and if \\(p\\) is 25 percent of \\(8b\\), then what is the value of \\(\\frac { a } { b } \\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"-6",
      "B":"-7",
      "C":"6",
      "D":"8",
      "E":"9"
    },
    "exam":"source2",
    "id":11075,
    "originalQuestionNumber":4,
    "question":"If \\(2 < |x - 4| < 5\\), which of the following could be the value of \\(x\\)?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"0.JKLM",
      "B":"J.KLM",
      "C":"JK.LM",
      "D":"JK,LM0",
      "E":"J,KLM,000"
    },
    "exam":"source6",
    "id":11076,
    "originalQuestionNumber":4,
    "question":"If the positive four-digit integer JKLM contains the digits J, K, L and M, what is the decimal equivalent of \\(JKLM \\times 10^ { -3 } \\)",
    "sectionLength":8,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(w(\\frac { r } { 100 } )(\\frac { s } { 100 } )\\)",
      "B":"\\(w(1 + \\frac { r } { 100 } )(1 -\\frac { s } { 100 } )\\)",
      "C":"\\(w(\\frac { rs } { 100 } )\\)",
      "D":"\\(w + \\frac { wr } { 100 } - \\frac { ws } { 100 } \\)",
      "E":"\\(w(\\frac { wr } { 100 } - \\frac { ws } { 100 } )\\)"
    },
    "exam":"source6",
    "id":11081,
    "originalQuestionNumber":15,
    "question":"The wholesale price of a car is w dollars. The retail price of this car is r percent greater than the wholesale price. During a special promotion, the retail price of the car is then discounted by s percent. Which of the following expressions represents the price, in dollars, of this car during the special promotion?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(<-2, 2>\\)",
      "B":"\\(<-1, 4>\\)",
      "C":"\\(<-3, 1>\\)",
      "D":"\\(<3, 7>\\)",
      "E":"\\(<1, 5>\\)"
    },
    "exam":"source1",
    "id":11082,
    "originalQuestionNumber":8,
    "question":"Let \\(<a, b>\\) be defined as the set of all integers between, but not including, a and b. For example, \\(<-3,3> = \\{-2, -1,0,1,2\\}\\). Which of the following does NOT have the same number of elements as the intersection of \\(<-4,4>\\) and \\(<0,7>\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"diagram1594.eps",
      "B":"diagram1661.eps",
      "C":"diagram1301.eps",
      "D":"diagram543.eps",
      "E":"diagram1621.eps"
    },
    "exam":"source6",
    "id":11083,
    "originalQuestionNumber":7,
    "question":"If the function graphed in the xy-coordinate system above is defined by the equation \\(y = x^2\\), which of the following could be the graph of \\(y = (x + 2)^2\\) ?",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(a = 0\\)",
      "B":"\\(b = 0\\)",
      "C":"\\(ab = 0\\)",
      "D":"\\(a + b = 0\\)",
      "E":"\\(a - b = 0\\)"
    },
    "exam":"source2",
    "id":11085,
    "originalQuestionNumber":7,
    "question":"If \\(\\sqrt { x + a + b } = \\sqrt { x - a - b } \\), which of the following must be true?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(m + 3\\)",
      "B":"\\(m^2 - 3\\)",
      "C":"\\(\\frac { m + 1 } { 9 } \\)",
      "D":"\\(\\frac { m - 9 } { 9 } \\)",
      "E":"\\(\\frac { 1 } { 3 } m\\)"
    },
    "exam":"source6",
    "id":11086,
    "originalQuestionNumber":14,
    "question":"When \\(n\\) is a positive integer, \\(9 + 3^ { n + 2 } = m\\), what is the value of \\(3^n\\) in terms of \\(m\\)?",
    "sectionLength":14,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"84",
      "B":"77",
      "C":"49",
      "D":"42",
      "E":"35"
    },
    "exam":"source1",
    "id":11087,
    "originalQuestionNumber":12,
    "question":"If the average (arithmetic mean) of 7 numbers is greater than 7 and less than 12, which of the following could be the sum of the 7 numbers?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"5",
      "B":"6",
      "C":"7",
      "D":"8",
      "E":"9"
    },
    "exam":"source1",
    "id":11091,
    "originalQuestionNumber":5,
    "question":"A triangle has a perimeter of 16 and one side of length 4. If the lengths of the other two sides are equal, what is the length of each of the other two sides?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"2",
      "B":"\\(2\\frac { 2 } { 9 } \\)",
      "C":"3",
      "D":"\\(3\\frac { 1 } { 3 } \\)",
      "E":"4"
    },
    "exam":"source2",
    "id":11092,
    "originalQuestionNumber":7,
    "question":"Mr. Lopez can clean the house in 5 hours. His son, Carl, can clean the house in 10 hours. How long will it take them to clean \\(\\frac { 2 } { 3 } \\) of the house, in hours, if they work together?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(\\frac{1}{3}, \\frac{1}{6}, \\frac{1}{9}\\)",
      "B":"\\(\\frac{2}{5}, \\frac{10}{25}, \\frac{12}{30}\\)",
      "C":"\\(\\frac{1}{2}, \\frac{2}{4}, \\frac{4}{6}\\)",
      "D":"\\(\\frac{2}{3}, \\frac{2}{6}, \\frac{2}{9}\\)",
      "E":"\\(\\frac{3}{4}, \\frac{10}{12}, \\frac{75}{100}\\)"
    },
    "exam":"source1",
    "id":11093,
    "originalQuestionNumber":2,
    "question":"Which of the following groups contains three fractions that are equal?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"1.2y",
      "B":"10y",
      "C":"12y",
      "D":"15y",
      "E":"120y"
    },
    "exam":"source1",
    "id":11097,
    "originalQuestionNumber":2,
    "question":"If \\(y > 0\\), what is 60 percent of 20y?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(3\\pi\\)",
      "B":"\\(6\\pi\\)",
      "C":"\\(9\\pi\\)",
      "D":"\\(12\\pi\\)",
      "E":"\\(36\\pi\\)"
    },
    "exam":"source5",
    "id":11099,
    "originalQuestionNumber":17,
    "question":"If A is point (-4, 1) and B is point (2, 1) what is the area of the circle that has \\(\\overline { AB } \\) as a diameter?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"4",
      "B":"5",
      "C":"8",
      "D":"10",
      "E":"15"
    },
    "exam":"source1",
    "id":11101,
    "originalQuestionNumber":8,
    "question":"Patty uses 2 gallons of paint to cover 875 square feet of surface. At this rate, how many gallons will she need to cover 4,375 square feet of surface?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(\\frac { mh } { 60 } \\)",
      "B":"\\(\\frac { 60m } { h } \\)",
      "C":"\\(\\frac { m } { 60h } \\)",
      "D":"\\(\\frac { 60h } { m } \\)",
      "E":"\\(\\frac { h } { 60m } \\)"
    },
    "exam":"source5",
    "id":11103,
    "originalQuestionNumber":12,
    "question":"Benjamin can type a full report in \\(h\\) hours. At this rate, how many reports can he type in \\(m\\) minutes?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(q + r\\)",
      "B":"\\(q - r\\)",
      "C":"qr",
      "D":"\\(qr + 1\\)",
      "E":"\\(qr + 2\\)"
    },
    "exam":"source1",
    "id":11104,
    "originalQuestionNumber":15,
    "question":"If q and r are prime numbers, which of the following CANNOT be a prime number?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"2.5",
      "B":"20",
      "C":"35",
      "D":"40",
      "E":"70"
    },
    "exam":"source1",
    "id":11105,
    "originalQuestionNumber":9,
    "question":"If \\(q = \\frac{5}{4}st\\), what is the value of t when \\(s = 2\\) and \\(q = 50\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(22\\frac { 2 } { 9 } \\%\\)",
      "B":"\\(28\\frac { 4 } { 7 } \\%\\)",
      "C":"\\(33\\frac { 1 } { 3 } \\%\\)",
      "D":"\\(44\\frac { 4 } { 9 } \\%\\)",
      "E":"It cannot be determined from the information given."
    },
    "exam":"source5",
    "id":11106,
    "originalQuestionNumber":6,
    "question":"Phil's Phone Shop sells three models of cellular phones, priced at \\$100, \\$125, and \\$225. In January, Phil sold exactly the same number of each model. What percent of the total income from the sales of cellular phones was attributable to sales of the cheapest model?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"-2",
      "B":"-1",
      "C":"0",
      "D":"2",
      "E":"4"
    },
    "exam":"source2",
    "id":11107,
    "originalQuestionNumber":2,
    "question":"If \\(|1 - 2k| = k + 4\\), which of the following could be the value of \\(k\\)?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"h",
      "B":"l",
      "C":"K",
      "D":"n"
    },
    "exam":"source7",
    "id":11108,
    "originalQuestionNumber":1,
    "question":"A painter will paint n walls with the same size and shape in a building using a specific brand of paint. The painter's fee can be  calculated by the expression nKlh, where n is the number of walls, K is a constant with units of dollars per square foot, l is the length of each wall in feet, and h is the height of each wall in feet. If the customer asks the painter to use a more expensive brand of paint, which of the factors in the expression would change?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"1",
      "B":"2",
      "C":"\\(2^26\\)",
      "D":"\\(2^27\\)",
      "E":"\\(2^32\\)"
    },
    "exam":"source5",
    "id":11109,
    "originalQuestionNumber":8,
    "question":"The first term of sequence I is 2, and each subsequent term is 2 more than the preceding term. The first term of sequence II is 2 and each subsequent term is 2 times the preceding term. What is the ratio of the 32nd term of sequence II to the 32nd term of sequence I?",
    "sectionLength":18,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"c = 0.20(60h)",
      "B":"c = 0.20h + 60",
      "C":"c = \\frac{60h}{0.20}",
      "D":"c = \\frac{0.20h}{60}"
    },
    "exam":"source7",
    "id":11110,
    "originalQuestionNumber":14,
    "question":"The cost of using a telephone in a hotel meeting room is \\$0.20 per minute. Which of the following equations represents the total cost c, in dollars, for h hours of phone use?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(-7\\)",
      "B":"\\(-6\\)",
      "C":"2",
      "D":"3",
      "E":"4"
    },
    "exam":"source1",
    "id":11114,
    "originalQuestionNumber":9,
    "question":"The absolute value of a certain integer is greater than 3 and less than 6. Which of the following could NOT be 2 less than the integer?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"3",
      "B":"6",
      "C":"12",
      "D":"18",
      "E":"24"
    },
    "exam":"source2",
    "id":11115,
    "originalQuestionNumber":2,
    "question":"If \\(2(ax + bx) = 48\\), what is the value of \\(x\\) when \\(a + b = 8\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"2.5\\%",
      "B":"13\\%",
      "C":"20\\%",
      "D":"35\\%",
      "E":"52\\%"
    },
    "exam":"source1",
    "id":11117,
    "originalQuestionNumber":9,
    "question":"While away at school, Eileen receives an allowance of $400 each month, 35 percent of which she uses to pay her bills. If she budgets 30 percent of the remainder for shopping, allots $130 for entertainment, and saves the rest of the money, what percentage of her allowance is she able to save each month?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"The second graph will be 9 units above the first.",
      "B":"The second graph will be 3 units above the first.",
      "C":"The second graph will be 5 units bellow the first.",
      "D":"The second graph will be 9 units bellow the first.",
      "E":"The second graph will have a greater slope than the first."
    },
    "exam":"source6",
    "id":11120,
    "originalQuestionNumber":12,
    "question":"The graph of \\(y = x - 2\\) is drawn on a set of coordinate axes. If the graph of \\(y = x + 7\\) is then drawn on the same axes, how does the second graph compare to the first?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(1 \\frac{2}{3}\\)",
      "B":"\\(3 \\frac{1}{3}\\)",
      "C":"\\(6 \\frac{2}{3}\\)",
      "D":"\\(7 \\frac{1}{2}\\)",
      "E":"15"
    },
    "exam":"source1",
    "id":11121,
    "originalQuestionNumber":1,
    "question":"If \\(\\frac{5}{d} = \\frac{3}{2}\\), then \\(2d =\\)",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(2S\\)",
      "B":"\\(S + 50\\)",
      "C":"\\(S + 100\\)",
      "D":"\\(S + 2500\\)",
      "E":"\\(S + 10000\\)"
    },
    "exam":"source2",
    "id":11126,
    "originalQuestionNumber":12,
    "question":"S = 1 + 2 + 3 + 4 + ... + 49 + 50 T = 51 + 52 + 53 + ... + 99 + 100 If the sum of the positive integers from 1 to 50 is \\(S\\), and the sum of the positive integers from 51 to 100 is \\(T\\), what is \\(T\\) in terms of \\(S\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"50",
      "B":"\\(25\\sqrt { 3 } \\)",
      "C":"25",
      "D":"\\(\\frac { 25\\sqrt { 3 } } { 2 } \\)",
      "E":"\\(\\frac { 25 } { 2 } \\)"
    },
    "exam":"source2",
    "id":11128,
    "originalQuestionNumber":6,
    "question":"In the figure above, two identical circles have centers at points \\(P\\) and \\(R\\) with radius of 5, and are tangent to each other. If a line is tangent to the circle, what is the area of \\(\\triangle { PQR } \\) ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"III only",
      "D":"I and II only"
    },
    "exam":"source7",
    "id":11130,
    "originalQuestionNumber":15,
    "question":"\\begin{gather} C = \\frac{5}{9}(F - 32) \\end{gather} The equation above shows how a temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true? I. A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of \\frac{5}{9} degree Celsius. II. A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit. III. A temperature increase of \\frac{5}{9} degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"[1]",
      "B":"[2]",
      "C":"[3]",
      "D":"[4]",
      "E":"[5]"
    },
    "exam":"source5",
    "id":11132,
    "originalQuestionNumber":17,
    "question":"For any positive integer [n] represents the sum of the integers from 1 to n. For example, [5] = 1 + 2 + 3 + 4 + 5 = 15. Which of the following is equal to [10] - [9] ?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"4",
      "B":"5",
      "C":"6",
      "D":"7",
      "E":"8"
    },
    "exam":"source6",
    "id":11135,
    "originalQuestionNumber":6,
    "question":"Which of the following is the distance between the points (7, 3) and (11, 0) in the xy-coordinate plane?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"3",
      "B":"4",
      "C":"5",
      "D":"6",
      "E":"7"
    },
    "exam":"source1",
    "id":11137,
    "originalQuestionNumber":9,
    "question":"The Suzukis are having a picnic at their house where they will serve pasta salad to all of the guests. One pound of pasta salad either serves 6 adults or 10 children. If the Suzukis have 34 guests, 10 of whom are children, how many pounds of pasta salad will they need to serve all of the guests?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"2",
      "B":"4",
      "C":"8",
      "D":"32",
      "E":"64"
    },
    "exam":"source6",
    "id":11138,
    "originalQuestionNumber":11,
    "question":"If \\(ab = 8\\), \\(bc = 4\\) and \\(ac = 2\\), and \\(c > O\\), then what is the value of \\(abc\\) ?",
    "sectionLength":14,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"48",
      "B":"72",
      "C":"96",
      "D":"120",
      "E":"144"
    },
    "exam":"source2",
    "id":11139,
    "originalQuestionNumber":17,
    "question":"At a certain party, an executive committee provided one soda for 8 people, one apple for 4 people and one cake for 6 people. If the total number of sodas, apples, and cakes was 78, how many people were at the party?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(8a + 16\\)",
      "B":"\\(4a + 4\\)",
      "C":"\\(8a\\)",
      "D":"\\(4a + 16\\)",
      "E":"\\(4a\\)"
    },
    "exam":"source6",
    "id":11141,
    "originalQuestionNumber":17,
    "question":"If a, b, and c are consecutive even integers, such that \\(0 < a < b < c\\), what is \\(c^2 - a^2\\) in terms of \\(a\\) ?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"290",
      "B":"522",
      "C":"870",
      "D":"1,450",
      "E":"2,610"
    },
    "exam":"source6",
    "id":11142,
    "originalQuestionNumber":3,
    "question":"If 3 kilograms of rose petals are needed to produce 5 grams of perfume, how many kilograms of rose petals are needed to produce 870 grams of perfume?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"(3,1)",
      "B":"(3,-3)",
      "C":"(5,-1)",
      "D":"(5,3)",
      "E":"(7,-5)"
    },
    "exam":"source6",
    "id":11144,
    "originalQuestionNumber":6,
    "question":"Square ABCD in the coordinate plane has points A(1,3), B(5,7) and C(9,3). Which of the following could be the coordinates of point D?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(\\frac { 49 } { 121 } \\)",
      "B":"\\(\\frac { 7 } { 11 } \\)",
      "C":"1",
      "D":"\\(\\frac { 11 } { 7 } \\)",
      "E":"\\(\\frac { 121 } { 49 } \\)"
    },
    "exam":"source5",
    "id":11147,
    "originalQuestionNumber":2,
    "question":"If \\(a(\\frac { 7 } { 11 } ) = (\\frac { 7 } { 11 } )b\\), then \\(\\frac { a } { b } \\) =",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"70",
      "B":"80",
      "C":"90",
      "D":"100",
      "E":"110"
    },
    "exam":"source1",
    "id":11148,
    "originalQuestionNumber":3,
    "question":"If the average (arithmetic mean) of 8 numbers is greater than 10 and less than 12, which of the following could be the sum of the 8 numbers?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"1 and 5",
      "B":"-1 and 5",
      "C":"-1 and -5",
      "D":"-1",
      "E":"-5"
    },
    "exam":"source1",
    "id":11149,
    "originalQuestionNumber":1,
    "question":"If \\(|5x + 15| = 10\\), then x could equal",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(-4 \\leq xy \\leq 12\\)",
      "B":"\\(0 \\leq xy \\leq 12\\)",
      "C":"\\(-12 \\leq xy \\leq -4\\)",
      "D":"\\(-12 \\leq xy \\leq 4\\)",
      "E":"\\(-12 \\leq xy \\leq 12\\)"
    },
    "exam":"source2",
    "id":11150,
    "originalQuestionNumber":14,
    "question":"If \\(4 \\leq x \\leq 12\\) and \\(-1 \\leq y \\leq 1\\), which of the following gives the set of all possible values of \\(xy\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"250",
      "B":"500",
      "C":"750",
      "D":"1,000",
      "E":"2,000"
    },
    "exam":"source1",
    "id":11153,
    "originalQuestionNumber":14,
    "question":"The populations of two species of bacteria in a petri dish vary inversely. If there are 1,000 bacteria of species A when there are 500 bacteria of species B, how many bacteria of species B are there when there are 2,000 bacteria of species A ?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"the set of all positive integers",
      "B":"the set of all positive real numbers",
      "C":"the set of positive multiples of 3",
      "D":"the set of positive multiples of 5",
      "E":"the set of positive multiples of 6"
    },
    "exam":"source1",
    "id":11155,
    "originalQuestionNumber":10,
    "question":"If X is the set of positive multiples of 2 and Y is the set of positive multiples of 3, then the intersection of X and Y is",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"6.2",
      "B":"8",
      "C":"9",
      "D":"16",
      "E":"62"
    },
    "exam":"source1",
    "id":11156,
    "originalQuestionNumber":10,
    "question":"1. Choose a number between 0.5 and 0.99. 2. Multiply the number from the previous step by 20. 3. Determine the largest integer less than or equal to the number obtained from the previous step. 4. Subtract 4 from the number obtained from the previous step. 5. Write down the resulting number. If 0.62 is the number chosen in step 1, what is the number written in step 5?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"4",
      "B":"8",
      "C":"12",
      "D":"18",
      "E":"20"
    },
    "exam":"source2",
    "id":11157,
    "originalQuestionNumber":16,
    "question":"For all positive integers p and q, let \\(\\Phi\\) be defined by \\(p \\Phi q = (p + Q)^2 - (p - q)^2\\). If \\(a\\) and \\(b\\) are positive integers, which of the following CANNOT be the value of \\(a \\Phi b\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"0",
      "B":"3",
      "C":"6",
      "D":"7",
      "E":"35"
    },
    "exam":"source1",
    "id":11158,
    "originalQuestionNumber":10,
    "question":"If \\(f(x) = \\frac{x^3 - 6}{x^2 - 2x + 6}\\), then what is \\(f(6)\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"0",
      "B":"2",
      "C":"4",
      "D":"6",
      "E":"8"
    },
    "exam":"source5",
    "id":11159,
    "originalQuestionNumber":16,
    "question":"\\(A = \\lbrace 2, 3\\rbrace\\) \\(B = \\lbrace 4, 5\\rbrace\\) \\(C = \\lbrace 6, 7\\rbrace\\) In how many ways is it possible to pick 1 number from each set, so that the 3 numbers could be the lengths of the three sides of a triangle?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(\\frac { p + q } { 2 } \\)",
      "B":"\\(\\frac { 10p + 20q } { 30 } \\)",
      "C":"\\(\\frac { 10p + 20q } { p + q } \\)",
      "D":"\\(\\frac { 10p + 20q } { 100 } \\)",
      "E":"\\(\\frac { 100p + 200q } { p + q } \\)"
    },
    "exam":"source2",
    "id":11162,
    "originalQuestionNumber":14,
    "question":"If \\(p\\) gallons of 10 percent antifreeze solution is added to \\(q\\) gallons of 20 percent antifreeze solution, what is the percent antifreeze of the resulting solution in terms of \\(p\\) and \\(q\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(b^2\\)",
      "B":"\\(b^ { \\frac { 12 } { 5 } } \\)",
      "C":"\\(b^6\\)",
      "D":"\\(b^10\\)",
      "E":"\\(b^15\\)"
    },
    "exam":"source6",
    "id":11165,
    "originalQuestionNumber":8,
    "question":"If \\(a^ { \\frac { 2 } { 5 } } = b\\), what does \\(a^6\\) equal in terms of \\(b\\)?",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\frac{9}{20}",
      "B":"\\frac{4}{5}",
      "C":"\\frac{5}{4}",
      "D":"\\frac{20}{9}"
    },
    "exam":"source7",
    "id":11166,
    "originalQuestionNumber":7,
    "question":"If \\frac{3}{5}w = \\frac{4}{3}, what is the value of w?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(\\frac { 1 } { 80 } \\)",
      "B":"\\(\\frac { 1 } { 24 } \\)",
      "C":"\\(\\frac { 1 } { 8 } \\)",
      "D":"\\(\\frac { 1 } { 6 } \\)",
      "E":"\\(\\frac { 1 } { 5 } \\)"
    },
    "exam":"source6",
    "id":11168,
    "originalQuestionNumber":1,
    "question":"If Jonas has already run 4 miles in a 20-mile race, what fraction of the race has he already run?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(x = y\\)",
      "B":"\\(x < y\\)",
      "C":"\\(x - y < 30\\)",
      "D":"\\(x - y > 3\\)",
      "E":"\\(x - y < 3\\)"
    },
    "exam":"source2",
    "id":11169,
    "originalQuestionNumber":6,
    "question":"If \\(x^2 - y^2 = 30\\) and \\(x + y > 10\\), where \\(x\\) and \\(y\\) are positive numbers, then which of the following must be true?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"30x = 2",
      "B":"2x = 30",
      "C":"\\frac{x}{2} = 30",
      "D":"x + 30 = 2"
    },
    "exam":"source7",
    "id":11170,
    "originalQuestionNumber":4,
    "question":"The number of states that joined the United States between 1776 and 1849 is twice the number of states that joined between 1850 and 1900. If 30 states joined the United States between 1776 and 1849 and x states joined between 1850 and 1900, which of the following equations is true?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"2",
      "B":"3.5",
      "C":"6",
      "D":"8.5",
      "E":"10"
    },
    "exam":"source2",
    "id":11172,
    "originalQuestionNumber":9,
    "question":"If \\(2^ { a + b } = 8\\) and \\(3^ { a - b } = 81\\), what is the value of \\(a\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"39",
      "B":"41",
      "C":"42",
      "D":"45",
      "E":"81"
    },
    "exam":"source1",
    "id":11174,
    "originalQuestionNumber":2,
    "question":"If \\(\\frac{y}{y - 3} = \\frac{42}{39}\\), then what does y equal?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"III only",
      "D":"I and II only",
      "E":"II and III only"
    },
    "exam":"source5",
    "id":11175,
    "originalQuestionNumber":10,
    "question":"If m is an integer, which of the following could be true? I. \\(\\frac { 17 } { m } \\) is an even integer II. \\(\\frac { m } { 17 } \\) is an even integer III. \\(17m\\) is a prime",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"3, 5 and 8",
      "B":"3, 6 and 10",
      "C":"4, 5 and 2",
      "D":"5, 9 and 15",
      "E":"10, 20 and 8"
    },
    "exam":"source2",
    "id":11176,
    "originalQuestionNumber":15,
    "question":"Which of the following could be the lengths of the sides of a triangle?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\$50",
      "B":"\\$75",
      "C":"\\$100",
      "D":"\\$125",
      "E":"\\$150"
    },
    "exam":"source1",
    "id":11177,
    "originalQuestionNumber":5,
    "question":"A television set costs $25 less than twice the cost of a radio. If the television and radio together cost $200, how much more does the television cost than the radio?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(c < 0\\)",
      "B":"\\(c > 0\\)",
      "C":"\\(c < d\\)",
      "D":"\\(d < 0\\)",
      "E":"\\(d > 0\\)"
    },
    "exam":"source6",
    "id":11178,
    "originalQuestionNumber":6,
    "question":"For the inequality \\(c - d > c\\), which of the following must be true?",
    "sectionLength":14,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"10.25",
      "B":"14.5",
      "C":"17",
      "D":"18.25",
      "E":"19"
    },
    "exam":"source1",
    "id":11180,
    "originalQuestionNumber":11,
    "question":"If the average (arithmetic mean) of 14 consecutive integers is 20.5, what is the average of the first seven integers?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"4",
      "B":"5",
      "C":"6",
      "D":"7",
      "E":"8"
    },
    "exam":"source2",
    "id":11181,
    "originalQuestionNumber":2,
    "question":"\\(XY + YX = 88\\) In the addition problem above, X and Y are distinct positive integers. How many different integer values of X are possible?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"-1 + 12i",
      "B":"-1 - 6i",
      "C":"15 + 12i",
      "D":"15 - 6i"
    },
    "exam":"source7",
    "id":11182,
    "originalQuestionNumber":2,
    "question":"For i = \\sqrt{-1}, what is the sum (7 + 3i) + (-8 + 9i)?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"7",
      "B":"14",
      "C":"15",
      "D":"21",
      "E":"It cannot be determined from the information given"
    },
    "exam":"source5",
    "id":11184,
    "originalQuestionNumber":14,
    "question":"\\(x + y = 10\\) \\(y + z = 15\\) \\(x + z = 17\\) What is the average (arithmetic mean) of \\(x\\), \\(y\\), and \\(z\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"44",
      "B":"96",
      "C":"128",
      "D":"144",
      "E":"168"
    },
    "exam":"source1",
    "id":11185,
    "originalQuestionNumber":9,
    "question":"A frame 2 inches wide is placed around a rectangular picture with dimensions 8 inches by 12 inches. What is the area of the frame in square inches?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"10",
      "B":"12",
      "C":"14",
      "D":"16"
    },
    "exam":"source7",
    "id":11186,
    "originalQuestionNumber":10,
    "question":"In the xy-plane, the parabola with equation y = (x - 11)^2 intersects the line with equation y = 25 at two points, A and B. What is the length of \\overline{AB}?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(cd\\) is odd",
      "B":"\\(cd\\) is even",
      "C":"\\(c + d\\) is odd",
      "D":"\\(c + d\\) is even",
      "E":"\\(c - d\\) is odd"
    },
    "exam":"source6",
    "id":11188,
    "originalQuestionNumber":15,
    "question":"If \\(c\\) and \\(d\\) are integers and \\(c^2 - d^2\\) is even, which of the following must be true?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"xyz",
      "B":"\\(\\frac{z}{x}\\)",
      "C":"\\(\\frac{z^2}{x^2}\\)",
      "D":"\\(\\frac{z^3}{x^3}\\)",
      "E":"\\(\\frac{z^4}{x^4}\\)"
    },
    "exam":"source1",
    "id":11191,
    "originalQuestionNumber":3,
    "question":"If \\(xyz \\neq 0\\), then \\(\\frac{x^2 y^3 z^6}{x^6 y^3 z^2} =\\)",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"I and II only",
      "D":"I and III only",
      "E":"I, II, and III"
    },
    "exam":"source5",
    "id":11192,
    "originalQuestionNumber":8,
    "question":"If \\(a < b < c < d\\) and the average (arithmetic mean) of \\(a\\), \\(b\\), \\(c\\), and \\(d\\) is 10, which of the following MUST be true? I. \\(a + d - b + c\\) II. \\(a < 10 and d > 10\\) III. \\(b < 10 and c > 10\\)",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"If a student enjoys making masks, then the student is not in Mr. McNabb's class.",
      "B":"If a student enjoys making masks, then the student is in Mr. McNabb's class.",
      "C":"If a student does not enjoy making masks, then the student is not in Mr. McNabb's class.",
      "D":"If a student is not in Mr. McNabb's class, then the student does not enjoy making masks.",
      "E":"If a student is in Mr. McNabb's class, then the student does not enjoy making masks."
    },
    "exam":"source6",
    "id":11193,
    "originalQuestionNumber":8,
    "question":"If every student in Mr. McNabb's class enjoys making masks, which of the following must be true?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"16",
      "B":"22",
      "C":"23",
      "D":"32",
      "E":"36"
    },
    "exam":"source1",
    "id":11194,
    "originalQuestionNumber":8,
    "question":"The percent increase from 6 to 16 is equal to the percent increase from 12 to what number?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"60",
      "B":"78",
      "C":"138",
      "D":"150",
      "E":"168"
    },
    "exam":"source6",
    "id":11195,
    "originalQuestionNumber":10,
    "question":"A bag contains 228 marbles, and one marble is selected at random. The probability of selecting a black marble is \\(\\frac { 5 } { 19 } \\), and the probability of selecting a gold marble is \\(\\frac { 3 } { 38 } \\). How many marbles in the bag are neither black nor gold?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"95",
      "B":"93",
      "C":"90",
      "D":"89",
      "E":"88"
    },
    "exam":"source6",
    "id":11197,
    "originalQuestionNumber":2,
    "question":"The average (arithmetic mean) of a student's grades on four history tests is 86. If the student received two grades of 83 and one of 85, what grade did the student receive on fourth test?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"Treatment X is likely to improve the eyesight of people who have poor eyesight.",
      "B":"Treatment X improves eyesight better than all other available treatments.",
      "C":"Treatment X will improve the eyesight of anyone who takes it.",
      "D":"Treatment X will cause a substantial improvement in eyesight."
    },
    "exam":"source7",
    "id":11199,
    "originalQuestionNumber":15,
    "question":"In order to determine if treatment X is successful in improving eyesight, a research study was conducted. From a large population of people with poor eyesight, 300 participants were selected at random. Half of the participants were randomly assigned to receive treatment X, and the other half did not receive treatment X. The resulting data showed that participants who received treatment X had significantly improved eyesight as compared to those who did not receive treatment X. Based on the design and results of the study, which of the following is an appropriate conclusion?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"1 : 2",
      "B":"1 : 10",
      "C":"5 : 8",
      "D":"5 : 4",
      "E":"5 : 2"
    },
    "exam":"source6",
    "id":11200,
    "originalQuestionNumber":14,
    "question":"If the ratio of \\(a\\) to \\(b\\) is 2 to 5, and the ratio of \\(b\\) to \\(c\\) is 1 to 4, what is the ratio of \\(a\\) to \\(c\\) ?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\frac{12}{5}",
      "B":"\\frac{16}{7}",
      "C":"-\\frac{16}{7}",
      "D":"-\\frac{12}{5}"
    },
    "exam":"source7",
    "id":11202,
    "originalQuestionNumber":9,
    "question":"\\begin{gather} kx - 3y = 4 \\\\ 4x - 5y = 7 \\end{gather} In the system of equations above, k is a constant and x and y are variables. For what value of k will the system of equations have no solution?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"20",
      "B":"18",
      "C":"8",
      "D":"6",
      "E":"4"
    },
    "exam":"source2",
    "id":11203,
    "originalQuestionNumber":19,
    "question":"If \\(2 \\leq p \\leq 6\\) and \\(1 \\leq q \\leq 12\\), what is the smallest value of \\((p + q)^2 - (p - q)^2\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"14",
      "B":"27.7",
      "C":"73",
      "D":"279.5"
    },
    "exam":"source7",
    "id":11208,
    "originalQuestionNumber":3,
    "question":"\\begin{gather} l = 24 + 3.5m \\end{gather} One end of a spring is attached to a ceiling. When an object of mass m kilograms is attached to the other end of the spring, the spring stretches to a length of l centimeters as shown in the equation above. What is m when l is 73?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"4",
      "B":"8",
      "C":"9",
      "D":"12",
      "E":"13"
    },
    "exam":"source1",
    "id":11211,
    "originalQuestionNumber":11,
    "question":"There are 5 red, 5 green, 5 blue, and 5 yellow hats packaged in 20 identical, unmarked boxes, with 1 hat per box. What is the least number of boxes that must be selected in order to be sure that among the boxes selected, 4 or more contain hats of the same color?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"2 by 5 by 6",
      "B":"3 by 4 by 6",
      "C":"3 by 5 by 6",
      "D":"4 by 5 by 6",
      "E":"5 by 6 by 12"
    },
    "exam":"source1",
    "id":11213,
    "originalQuestionNumber":13,
    "question":"A rectangular box is 4 inches long, 10 inches wide, and 15 inches high. If exactly 60 smaller identical rectangular boxes can be stored perfectly in this larger box, which of the following could be the dimensions, in inches, of these smaller boxes?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"13",
      "B":"14",
      "C":"15",
      "D":"16",
      "E":"17"
    },
    "exam":"source2",
    "id":11214,
    "originalQuestionNumber":5,
    "question":"If \\(-3 \\leq m \\leq -1\\) and \\(0 \\leq n \\leq 2\\), what is the greatest possible value of \\(mn\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(-1\\)",
      "B":"1",
      "C":"2",
      "D":"3",
      "E":"5"
    },
    "exam":"source1",
    "id":11215,
    "originalQuestionNumber":13,
    "question":"If a and b are integers and \\(2a + 5b = 15\\), which of the following CANNOT be a value of b?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(\\frac{25}{2}\\)",
      "B":"\\(\\frac{19}{2}\\)",
      "C":"11",
      "D":"5",
      "E":"50"
    },
    "exam":"source1",
    "id":11216,
    "originalQuestionNumber":4,
    "question":"If \\(4(n + 6) = 44\\), what is the value of n?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"54 degrees",
      "B":"240 degrees",
      "C":"720 degrees",
      "D":"2,160 degrees",
      "E":"2,400 degrees"
    },
    "exam":"source1",
    "id":11219,
    "originalQuestionNumber":4,
    "question":"Carmel is spinning a basketball on his finger so that it turns around completely every 1.5 seconds. How many degrees does the logo on the ball turn in 10 seconds, assuming it is not on the spinning axis?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"Green",
      "B":"Red",
      "C":"Blue",
      "D":"Yellow",
      "E":"Purple"
    },
    "exam":"source6",
    "id":11222,
    "originalQuestionNumber":4,
    "question":"A line of plastic ducks moves across a conveyor belt at a shooting gallery. The color of each duck follows the repeating pattern orange, green, red, blue, yellow, purple, continuing indefinitely. If the first duck is orange, what is the color of the 50th duck?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"8",
      "B":"6",
      "C":"4",
      "D":"3",
      "E":"2"
    },
    "exam":"source2",
    "id":11225,
    "originalQuestionNumber":13,
    "question":"A square and a circle drawn in a plane can intersect in at most how many points?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"4",
      "B":"2",
      "C":"\\(\\frac{7}{6}\\)",
      "D":"\\(\\frac{1}{2}\\)",
      "E":"\\(\\frac{1}{4}\\)"
    },
    "exam":"source1",
    "id":11226,
    "originalQuestionNumber":15,
    "question":"Flour, sugar, and baking soda are mixed by weight in the ratio of 6:4:2, respectively, to produce a certain type of cookie. In order to make 6 pounds of this dough, what weight of sugar, in pounds, is required?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"10",
      "B":"20",
      "C":"50",
      "D":"100",
      "E":"200"
    },
    "exam":"source2",
    "id":11227,
    "originalQuestionNumber":1,
    "question":"If \\(k = 10\\), what is the value of \\(\\frac { 2k(k + 1) - 2k(k - 1) } { 4 } \\) ?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"2",
      "B":"\\frac{8}{3}",
      "C":"3",
      "D":"\\frac{11}{3}"
    },
    "exam":"source7",
    "id":11228,
    "originalQuestionNumber":14,
    "question":"\\begin{gather} \\frac{8 - i}{3 - 2i} \\end{gather} If the expression above is rewritten in the form a + bi, where a and b are real numbers, what is the value of a? (Note: i = \\sqrt{-1})",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(-4\\)",
      "B":"\\(-2\\)",
      "C":"0",
      "D":"2",
      "E":"4"
    },
    "exam":"source1",
    "id":11229,
    "originalQuestionNumber":11,
    "question":"If \\(\\frac{4}{\\sqrt{r + 4}} = 2\\), what is the value of r?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(\\frac { 1 } { 4 } \\)",
      "B":"\\(\\frac { 1 } { 2 } \\)",
      "C":"1",
      "D":"2",
      "E":"4"
    },
    "exam":"source5",
    "id":11230,
    "originalQuestionNumber":4,
    "question":"The volume of a cylinder whose height is 4 and whose radius is 2 is how many times the volume of a cylinder whose height is 2 and whose radius is 4?",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(\\{-2,-1,0,1,2\\}\\)",
      "B":"\\(\\{-2,-1, 0,1, 3\\}\\)",
      "C":"\\(\\{-2,0,0,0, 2\\}\\)",
      "D":"\\(\\{-3,-1,0,1,2\\}\\)",
      "E":"\\(\\{-3,-1, 0,1, 3\\}\\)"
    },
    "exam":"source1",
    "id":11231,
    "originalQuestionNumber":5,
    "question":"For which of the following sets of numbers is the average (arithmetic mean) greater than the median?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"Only steps 2 and 3 could be switched.",
      "B":"Only steps 2 and 4 could be switched.",
      "C":"Only steps 3 and 4 could be switched.",
      "D":"Steps 2, 3, and 4 can be done in any order.",
      "E":"None of the above changes can be made."
    },
    "exam":"source1",
    "id":11232,
    "originalQuestionNumber":17,
    "question":"1. Choose a number between 0 and 9.9. 2. Multiply the number from the previous step by 100. 3. Determine the smallest integer greater than or equal to the number obtained from the previous step. 4. Add 12 to the number found in the previous step. 5. Print the resulting number. Which change, if any, could be made in the order of the steps without changing the number printed in step 5?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"0",
      "B":"150",
      "C":"250",
      "D":"400"
    },
    "exam":"source7",
    "id":11235,
    "originalQuestionNumber":8,
    "question":"In a video game, each player starts the game with k points and loses 2 points each time a task is not completed. If a player who gains no additional points and fails to complete 100 tasks has a score of 200 points, what is the value of k?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"I only",
      "B":"I and II only",
      "C":"I and III only",
      "D":"I, II, and III only"
    },
    "exam":"source7",
    "id":11238,
    "originalQuestionNumber":26,
    "question":"Let x and y be numbers such that -y < x < y. Which of the following must be true? I. |x| < y II. x > 0 III. y > 0",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"100",
      "B":"121",
      "C":"144",
      "D":"222",
      "E":"1,011"
    },
    "exam":"source1",
    "id":11240,
    "originalQuestionNumber":8,
    "question":"At a certain school, if the ratio of teachers to students is 1 to 10, which of the following could be the total number of teachers and students?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"0",
      "B":"1",
      "C":"2",
      "D":"4",
      "E":"5"
    },
    "exam":"source1",
    "id":11241,
    "originalQuestionNumber":15,
    "question":"Lines l and m and two circles lie in a plane. If l passes through the center of the two circles and m is perpendicular to l, which of the following could NOT be the number of points at which m intersects the circles?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"1",
      "B":"2",
      "C":"4",
      "D":"6",
      "E":"15"
    },
    "exam":"source6",
    "id":11242,
    "originalQuestionNumber":2,
    "question":"Ninety people work in a certain office. If the ratio of men to women is 7:8, how many more women than men work in the office?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(j^2 + 9\\)",
      "B":"\\(j^2 + 6j + 9\\)",
      "C":"\\((j^2 + 9) \\sqrt { 2 } \\)",
      "D":"\\(\\frac { j^2 + 9 } { 2 } \\)",
      "E":"\\(\\frac { j^2 + 6j + 9 } { 2 } \\)"
    },
    "exam":"source6",
    "id":11243,
    "originalQuestionNumber":20,
    "question":"The length of the diagonal of a square is \\(j + 3\\). Which of the following represents the area of the square?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(x < x^2 < x^3\\)",
      "B":"\\(x^2 < x < x^3\\)",
      "C":"\\(x < x^3 < x^2\\)",
      "D":"\\(x^3 < x^2 < x\\)",
      "E":"\\(x^3 < x < x^2\\)"
    },
    "exam":"source2",
    "id":11244,
    "originalQuestionNumber":12,
    "question":"If \\(-1 < x < 0\\), which of the following is true?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"5",
      "B":"6",
      "C":"7",
      "D":"12",
      "E":"It cannot be determined from the information given."
    },
    "exam":"source2",
    "id":11245,
    "originalQuestionNumber":6,
    "question":"If \\(12x + 5 = k + (k + m)x\\) for any value of \\(x\\), where \\(k\\) and \\(m\\) are constants, what is the value of \\(m\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(k^3n^2\\)",
      "B":"\\(\\frac { k^3 } { n^2 } \\)",
      "C":"\\(\\frac { 1 } { k^3n^2 } \\)",
      "D":"\\(\\frac { k^6 } { n^3 } \\)",
      "E":"\\(\\frac { n^2 } { k^3 } \\)"
    },
    "exam":"source2",
    "id":11246,
    "originalQuestionNumber":7,
    "question":"If \\(k^6 = m^ { -2 } n^4\\), where \\(k\\), \\(m\\), and \\(n\\) are positive numbers, which of the following is the value of \\(m\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"150",
      "B":"1,500",
      "C":"15,000",
      "D":"150,000"
    },
    "exam":"source7",
    "id":11247,
    "originalQuestionNumber":27,
    "question":"A square field measures 10 meters by 10 meters. Ten students each mark off a randomly selected region of the field; each region is square and has side lengths of 1 meter, and no two regions overlap. The students count the earthworms contained in the soil to a depth of 5 centimeters beneath the ground's surface in each region. The results are shown in the table below. \\{SATSampleTest1-16\\} Which of the following is a reasonable approximation of the number of earthworms to a depth of 5 centimeters beneath the ground's surface in the entire field?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"0",
      "B":"1",
      "C":"\\(a^{-4}\\)",
      "D":"a",
      "E":"\\(a^4\\)"
    },
    "exam":"source1",
    "id":11250,
    "originalQuestionNumber":17,
    "question":"If a is a positive number, which of the following is equal to \\(a^2 \\times a^{-2}\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(dlw\\)",
      "B":"\\(\\frac { lw } { d } \\)",
      "C":"\\(\\frac { d } { lw } \\)",
      "D":"\\(\\frac { 2(l + w) } { d } \\)",
      "E":"\\(\\frac { l + w } { 2d } \\)"
    },
    "exam":"source5",
    "id":11251,
    "originalQuestionNumber":16,
    "question":"The population density of a region is the number of people living in the region per square mile. Jackson County is a rectangle whose length is \\(l\\) miles and whose width is \\(w\\) miles. How many people live in Jackson County if its population density is \\(d\\)?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"(12, 10)",
      "B":"(11, 10)",
      "C":"(6, 5)",
      "D":"(2, 3)",
      "E":"(4, 7)"
    },
    "exam":"source2",
    "id":11252,
    "originalQuestionNumber":1,
    "question":"Which of the following points \\((x, y)\\) does NOT satisfy \\(|5 - x| > y - 5\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"8",
      "B":"20",
      "C":"32",
      "D":"48"
    },
    "exam":"source7",
    "id":11253,
    "originalQuestionNumber":17,
    "question":"The atomic weight of an unknown element, in atomic mass units (amu), is approximately 20\\% less than that of calcium. The atomic weight of calcium is 40 amu. Which of the following best approximates the atomic weight, in amu, of the unknown element?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"0.125",
      "B":"8",
      "C":"21",
      "D":"72"
    },
    "exam":"source7",
    "id":11255,
    "originalQuestionNumber":5,
    "question":"The density of an object is equal to the mass of the object divided by the volume of the object. What is the volume, in milliliters, of an object with a mass of 24 grams and a density of 3 grams per milliliter?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"11:30 AM",
      "B":"12:00 PM",
      "C":"12:30 PM",
      "D":"12:50 PM",
      "E":"1:00 PM"
    },
    "exam":"source5",
    "id":11257,
    "originalQuestionNumber":3,
    "question":"Alexis programmed her VCR to record for exactly 225 minutes. If it began recording at 9:05 A.M., at what time did it stop recording?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(6\\frac { 2 } { 3 } \\)",
      "B":"\\(4\\frac { 2 } { 3 } \\)",
      "C":"\\(4\\frac { 1 } { 3 } \\)",
      "D":"\\(4\\frac { 1 } { 6 } \\)",
      "E":"\\(3\\frac { 1 } { 3 } \\)"
    },
    "exam":"source5",
    "id":11259,
    "originalQuestionNumber":8,
    "question":"Gilda drove 650 miles at an average speed of 50 miles per hour. How many miles per hour faster would she have had to drive in order for the trip to have taken I hour less?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"III only",
      "D":"I and II only",
      "E":"II and III only"
    },
    "exam":"source2",
    "id":11260,
    "originalQuestionNumber":4,
    "question":"If \\(|k| < 5\\), which of the following must be true? I. \\(-5 < k < 5\\) II. \\(k^2 < 5\\) III. \\(k^3 < 5\\)",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"4x^{2}y^2",
      "B":"8xy^2 - 6y^2",
      "C":"2x^{2}y + 2xy^2",
      "D":"2x^{2}y + 8xy^2 - 6y^2"
    },
    "exam":"source7",
    "id":11261,
    "originalQuestionNumber":5,
    "question":"\\begin{gather} (x^{2}y - 3y^2 + 5xy^2) - (-x^{2}y + 3xy^2 - 3y^2) \\end{gather} Which of the following is equivalent to the expression above?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"The 15th",
      "B":"The 18th",
      "C":"The 25th",
      "D":"The 26th",
      "E":"The 27th"
    },
    "exam":"source2",
    "id":11262,
    "originalQuestionNumber":7,
    "question":"The terms in a sequence are given by \\(a_n = a + (n -1)d\\), where \\(n\\) is the number of terms, \\(a\\) is the first term, and each term after the first is found by adding 8 to the term immediately preceding it. If the first term is 10, which term in the sequence is equal to 210?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"3",
      "B":"4",
      "C":"5",
      "D":"6",
      "E":"7"
    },
    "exam":"source2",
    "id":11264,
    "originalQuestionNumber":7,
    "question":"If \\(k\\) is an integer and 4 is the remainder when \\(k^2 + 3\\) is divided by 7, which of the following could be the value of \\(k\\) ?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(\\frac { 1 } { 3y^2z } \\)",
      "B":"\\(\\frac { 3z } { 2 } \\)",
      "C":"\\(\\frac { 1 } { 3z } \\)",
      "D":"\\(\\frac { yz } { 3 } \\)",
      "E":"\\(\\frac { 9y } { z^2 } \\)"
    },
    "exam":"source2",
    "id":11266,
    "originalQuestionNumber":6,
    "question":"If x, y, and z are positive and \\(\\frac { x^2y^-3 } { z^2 } = 9y\\), which of the following is equal to \\(x - 1\\) ?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(r > 0\\)",
      "B":"\\(r < 0\\)",
      "C":"\\(t > 0\\)",
      "D":"\\(s < 0\\)",
      "E":"\\(s > 0\\)"
    },
    "exam":"source2",
    "id":11268,
    "originalQuestionNumber":12,
    "question":"If \\(rst < 0\\) and \\(r^3 \\times s^2 \\times t > 0\\), which of the following must be true?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"1",
      "B":"3",
      "C":"5",
      "D":"8",
      "E":"9"
    },
    "exam":"source1",
    "id":11269,
    "originalQuestionNumber":1,
    "question":"If \\(\\frac{\\sqrt{x} + n}{\\sqrt{x} + 9} = 1\\), then \\(n =\\)",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"11",
      "B":"22",
      "C":"30",
      "D":"41",
      "E":"60"
    },
    "exam":"source6",
    "id":11271,
    "originalQuestionNumber":8,
    "question":"If \\(w + x = 5 \\) and \\(y + z = 6\\), what is the value of \\(wy + xz + wz + xy\\) ?",
    "sectionLength":16,
    "sectionNumber":9,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"1.2y",
      "B":"10y",
      "C":"12y",
      "D":"15y",
      "E":"120y"
    },
    "exam":"source1",
    "id":11272,
    "originalQuestionNumber":8,
    "question":"If \\(y > 0\\), what is 60 percent of 20y?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"10\\%",
      "B":"12\\%",
      "C":"25\\%",
      "D":"28\\%",
      "E":"30\\%"
    },
    "exam":"source5",
    "id":11273,
    "originalQuestionNumber":6,
    "question":"Laurie inherited 40\\% of her father's estate. After paying a tax equal to 30\\% of her inheritance, what percent of her father's estate did she own?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(\\frac { dp } { x } \\)",
      "B":"\\(\\frac { x + d } { p } \\)",
      "C":"\\(\\frac { X + p } { d } \\)",
      "D":"\\(\\frac { xp } { d } \\)",
      "E":"\\(\\frac { dx } { p } \\)"
    },
    "exam":"source2",
    "id":11275,
    "originalQuestionNumber":1,
    "question":"If \\(p\\) pencils cost \\(d\\) dollars, \\(x\\) pencils cost how many dollars?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"-46 degrees F",
      "B":"-48 degrees F",
      "C":"-49 degrees F",
      "D":"-50 degrees F"
    },
    "exam":"source7",
    "id":11276,
    "originalQuestionNumber":10,
    "question":"\\begin{gather} a = 1,052 + 1.08t \\end{gather} The speed of a sound wave in air depends on the air temperature. The formula above shows the relationship between a, the speed of a sound wave, in feet per second, and t, the air temperature, in degrees Fahrenheit (degrees F). At which of the following air temperatures will the speed of a sound wave be closest to 1,000 feet per second?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"diagram878.eps",
      "B":"diagram387.eps",
      "C":"diagram897.eps",
      "D":"diagram651.eps",
      "E":"diagram1224.eps"
    },
    "exam":"source6",
    "id":11278,
    "originalQuestionNumber":15,
    "question":"Which of the following graphs represents the equation | y| = | x |?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"16",
      "B":"9",
      "C":"5",
      "D":"4",
      "E":"0"
    },
    "exam":"source2",
    "id":11279,
    "originalQuestionNumber":7,
    "question":"If \\(\\sqrt { ab } = 6\\), where a and b are positive integers, which of the following could NOT be a value of \\(a - b\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(-2\\) only",
      "B":"0 only",
      "C":"2 only",
      "D":"\\(-2\\) and 2 only",
      "E":"\\(-2\\), 0, and 2"
    },
    "exam":"source1",
    "id":11281,
    "originalQuestionNumber":12,
    "question":"If \\(g(t) = t^2 - 4\\), then the graph of \\(g(t)\\) crosses the x-axis when t equals",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"12.5",
      "B":"13.5",
      "C":"15",
      "D":"16",
      "E":"16.5"
    },
    "exam":"source2",
    "id":11284,
    "originalQuestionNumber":8,
    "question":"In \\(\\triangle { XYZ } \\), the length of \\(\\overline { XY } \\) is 5 and the length of \\(\\overline { YZ } \\) is 18. Which of the following could not be the length of \\(\\overline { ZX } \\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"diagram253.eps",
      "B":"diagram363.eps",
      "C":"diagram345.eps",
      "D":"diagram1049.eps",
      "E":"diagram1510.eps"
    },
    "exam":"source6",
    "id":11287,
    "originalQuestionNumber":10,
    "question":"Max realized that the longer he runs, the slower his pace becomes. Which of the following could be the graph of Max's pace by his distance?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "other"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"0",
      "B":"1",
      "C":"\\(p\\)",
      "D":"\\(p^2\\)",
      "E":"\\(p^3\\)"
    },
    "exam":"source6",
    "id":11288,
    "originalQuestionNumber":2,
    "question":"If \\(p > 0\\), then \\(p^3(\\frac { 1 } { p } -\\frac { 1 } { p } )\\) =",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(\\frac { 4 } { 3 } \\)",
      "B":"\\(\\frac { 16 } { 9 } \\)",
      "C":"\\(\\frac { \\sqrt { 3 } } { 4 } \\)",
      "D":"\\(\\frac { 4\\sqrt { 3 } } { 3 } \\)",
      "E":"\\(\\frac { 16\\sqrt { 3 } } { 9 } \\)"
    },
    "exam":"source5",
    "id":11290,
    "originalQuestionNumber":8,
    "question":"A square and an equilateral triangle each have sides of length 5. What is the ratio of the area of the square to the area of the triangle?",
    "sectionLength":18,
    "sectionNumber":2,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"-32",
      "B":"-27",
      "C":"-22",
      "D":"32",
      "E":"37"
    },
    "exam":"source5",
    "id":11294,
    "originalQuestionNumber":8,
    "question":"In a certain sequence the difference between any two consecutive terms is 5. If the 20th term is 63, what is the 2nd term?",
    "sectionLength":16,
    "sectionNumber":9,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"5",
      "B":"18",
      "C":"25",
      "D":"36",
      "E":"40"
    },
    "exam":"source1",
    "id":11296,
    "originalQuestionNumber":12,
    "question":"The nth term of a sequence is defined to be \\(5n + 2\\). The 35th term is how much greater than the 30th term?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"-9",
      "B":"-8",
      "C":"-3",
      "D":"1",
      "E":"2"
    },
    "exam":"source6",
    "id":11298,
    "originalQuestionNumber":2,
    "question":"If \\(|x + 3| > 5\\), which of the following is a possible value of \\(x\\) ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(x^4 + x^2 + 4\\)",
      "B":"\\(x^5 -1\\)",
      "C":"\\(x^6 - 1\\)",
      "D":"\\(x^6 + x^2 + 1\\)",
      "E":"\\(x^2 + 10\\)"
    },
    "exam":"source1",
    "id":11299,
    "originalQuestionNumber":7,
    "question":"Which of the following expressions must be negative if \\(x < 0\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"33",
      "B":"34",
      "C":"66",
      "D":"67",
      "E":"68"
    },
    "exam":"source1",
    "id":11301,
    "originalQuestionNumber":13,
    "question":"The lowest integer of a set of consecutive integers is \\(-33\\). If the sum of these integers is 34, how many integers are in the set?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"100",
      "B":"150",
      "C":"200",
      "D":"260",
      "E":"300"
    },
    "exam":"source2",
    "id":11303,
    "originalQuestionNumber":10,
    "question":"The profit \\(p\\), in dollars, from a car wash is given by the function \\(p(x) = \\frac { 50x - 200 } { x } + k\\), where x is the number of cars washed and k is a constant. If 20 cars were washed today for a total profit of \\$300, what is the value of \\(k\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\frac{3}{8} - \\frac{5i}{2}",
      "B":"\\frac{3}{8} + \\frac{5i}{2}",
      "C":"\\frac{7}{34} - \\frac{23i}{34}",
      "D":"\\frac{7}{34} + \\frac{23i}{34}"
    },
    "exam":"source7",
    "id":11304,
    "originalQuestionNumber":11,
    "question":"Which of the following complex numbers is equivalent to \\frac{3 - 5i}{8 + 2i}? (Note: i = \\sqrt{-1})",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"6",
      "B":"8",
      "C":"12",
      "D":"18",
      "E":"32"
    },
    "exam":"source6",
    "id":11306,
    "originalQuestionNumber":1,
    "question":"Which of the following is NOT a factor of \\(9^2 - 9 \\)?",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"3",
      "B":"4",
      "C":"12",
      "D":"24",
      "E":"36"
    },
    "exam":"source1",
    "id":11307,
    "originalQuestionNumber":3,
    "question":"If \\(s = 3q\\) and \\(q = 4\\), what is the value of 3s?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"3",
      "B":"5",
      "C":"7",
      "D":"9",
      "E":"11"
    },
    "exam":"source6",
    "id":11308,
    "originalQuestionNumber":4,
    "question":"The hypotenuse of an isosceles triangle has endpoints (4, 3) and (9, 8). What is the length of one of the legs of the triangle?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(\\frac { 1 } { 3 } \\)",
      "B":"\\(\\frac { 2 } { 5 } \\)",
      "C":"\\(\\frac { 3 } { 5 } \\)",
      "D":"\\(\\frac { 2 } { 3 } \\)",
      "E":"\\(\\frac { 4 } { 5 } \\)"
    },
    "exam":"source6",
    "id":11311,
    "originalQuestionNumber":15,
    "question":"Both \\(\\triangle { ABC } \\) and \\(\\triangle { AED } \\) are equilateral. If \\(AD = \\frac { 2 } { 3 } DC\\), then the perimeter of \\(\\triangle { AED } \\) is what fraction of the perimeter of \\(\\triangle { ABC } \\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(a + b\\)",
      "B":"\\(a^2 - b^2 + 10\\)",
      "C":"\\(a^2 + b^2 + 1\\)",
      "D":"\\(a^3 + b^3 + 16\\)",
      "E":"\\(a^4 + b^2 + a^2\\)"
    },
    "exam":"source1",
    "id":11313,
    "originalQuestionNumber":6,
    "question":"Which of the following expressions must be positive for all values of a and b?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(4 - 3p\\)",
      "B":"\\(4p - 3\\)",
      "C":"\\(4p + 3\\)",
      "D":"\\(3p - 4\\)",
      "E":"\\(3p + 4\\)"
    },
    "exam":"source6",
    "id":11315,
    "originalQuestionNumber":5,
    "question":"Janet produced 4 more paintings than three times the number of paintings Sam produced. Last year, Sam produced \\(p\\) paintings. Of the expressions below, which represents the number of paintings Janet produced last year?",
    "sectionLength":14,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(2x + 7\\) is odd",
      "B":"\\(3x^2 + 5\\) is odd",
      "C":"\\(x^3 - x^2 + x - 1\\) is odd",
      "D":"\\(3x + 4\\) is even",
      "E":"\\((3x - 5)(5x - 3) is even\\)"
    },
    "exam":"source5",
    "id":11317,
    "originalQuestionNumber":5,
    "question":"If \\(x\\) is an even number, then each of the following must be true EXCEPT",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"diagram626.eps",
      "B":"diagram558.eps",
      "C":"diagram171.eps",
      "D":"diagram603.eps",
      "E":"diagram1580.eps"
    },
    "exam":"source2",
    "id":11319,
    "originalQuestionNumber":13,
    "question":"If the function \\(f\\) is defined by \\(f(x) = ax^2 + bx + c\\), where constants \\(a\\) and \\(b\\) are positive, and constant \\(c\\) is negative, which of the following could be the graph of \\(f\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[

    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"8 inches",
      "B":"8.5 inches",
      "C":"9 inches",
      "D":"9.5 inches",
      "E":"10 inches"
    },
    "exam":"source6",
    "id":11320,
    "originalQuestionNumber":10,
    "question":"Container A and container B are right circular cylinders. Container A has a radius of 4 inches and a height of 5 inches while container B has a radius of 2 inches and a height of 10 inches. Sarah pours equal amounts of oil into both containers and finds that the height of the oil in container A is 2 inches. What is the height of the oil in container B ?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\$26.00",
      "B":"\\$30.00",
      "C":"\\$32.50",
      "D":"\\$42.50",
      "E":"\\$45.00"
    },
    "exam":"source6",
    "id":11321,
    "originalQuestionNumber":8,
    "question":"At a certain store, the price of a new compact disc is five times the price of a used compact disc. The difference between the two prices is ten dollars. What would be the total price of three used compact discs and two new compact discs at this store?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"6",
      "B":"15",
      "C":"21",
      "D":"39",
      "E":"56"
    },
    "exam":"source2",
    "id":11322,
    "originalQuestionNumber":10,
    "question":"Which of the following CANNOT be written as the sum of three consecutive integers?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"7",
      "B":"5",
      "C":"3",
      "D":"10",
      "E":"13"
    },
    "exam":"source6",
    "id":11323,
    "originalQuestionNumber":6,
    "question":"What is the slope of a line with the equation \\(y + 3 = 5(x - 2)\\) ?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(\\frac { 1 } { x } \\)",
      "B":"\\(\\frac { 1 } { x^2 } \\)",
      "C":"\\(\\frac { 1 } { x^3 } \\)",
      "D":"\\(\\frac { 1 } { x^4 } \\)",
      "E":"\\(x^4\\)"
    },
    "exam":"source2",
    "id":11324,
    "originalQuestionNumber":6,
    "question":"If \\(x^ { -1 } h = x^ { 3 } h^2\\), what does \\(h\\) equal in terms of \\(x\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(-5\\)",
      "B":"\\(-2\\)",
      "C":"1",
      "D":"5",
      "E":"8"
    },
    "exam":"source1",
    "id":11326,
    "originalQuestionNumber":1,
    "question":"If t is 5 more than s, and s is 3 less than r, what is t when \\(r = 3\\)?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"-3",
      "B":"0",
      "C":"1",
      "D":"2",
      "E":"4"
    },
    "exam":"source6",
    "id":11327,
    "originalQuestionNumber":4,
    "question":"If \\(x = -3\\), then \\(||x - 2| - |2 + x||\\) =",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(e = 0\\)",
      "B":"\\(c = 0\\)",
      "C":"\\(a > 0\\)",
      "D":"\\(b < 0\\)",
      "E":"\\(b > 3\\)"
    },
    "exam":"source1",
    "id":11328,
    "originalQuestionNumber":7,
    "question":"If \\(abcd = 3\\) and \\(abce = 0\\), which of the following must be true?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"1",
      "B":"2",
      "C":"3",
      "D":"4",
      "E":"5"
    },
    "exam":"source5",
    "id":11330,
    "originalQuestionNumber":1,
    "question":"If A is the set of odd positive integers less than 10, and B is the set of prime numbers less than 10, how many positive integers less than 10 are in neither set A nor set B?",
    "sectionLength":18,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"2",
      "B":"5",
      "C":"7",
      "D":"9",
      "E":"11"
    },
    "exam":"source1",
    "id":11335,
    "originalQuestionNumber":16,
    "question":"Let the ``tricate'' of a number x be defined as one-third of the smallest multiple of 3 greater than x. If the tricate of z is 3, which of the following could be the value of z?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"18",
      "B":"28",
      "C":"38",
      "D":"66",
      "E":"76"
    },
    "exam":"source6",
    "id":11338,
    "originalQuestionNumber":15,
    "question":"\\(3a - b = 11\\) \\(4b + 2c = 27\\) Based on the equation above, what is the value of \\( 6a + 6b + 4c\\) ?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"840",
      "B":"280",
      "C":"252",
      "D":"175",
      "E":"84"
    },
    "exam":"source1",
    "id":11339,
    "originalQuestionNumber":6,
    "question":"40 percent of 210 is the same as \\(33 \\frac{1}{3}\\) percent of what number?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"18",
      "B":"36",
      "C":"72",
      "D":"144",
      "E":"260"
    },
    "exam":"source5",
    "id":11340,
    "originalQuestionNumber":14,
    "question":"If \\(f(x) = x^2 + \\sqrt { x } \\) and \\(g(x) = f(4x)\\), what is the value of \\(g(4)\\)?",
    "sectionLength":16,
    "sectionNumber":9,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(t < r < s\\)",
      "B":"\\(r < t < s\\)",
      "C":"\\(s < r < t\\)",
      "D":"\\(r < s < t\\)",
      "E":"\\(t < s < r\\)"
    },
    "exam":"source1",
    "id":11341,
    "originalQuestionNumber":14,
    "question":"\\begin{gather*} r = n^3 - 0.61 \\\\ s = n^2 - 0.61 \\\\ t = (n - 0.61)^2 \\end{gather*} If n is a negative integer, what is the'ordering of r, s, and t from least to greatest?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(x + y\\)",
      "B":"\\(x + y - p\\)",
      "C":"\\(x + y + 2p\\)",
      "D":"\\(x + y - 2p\\)",
      "E":"\\(2x + 2y - p\\)"
    },
    "exam":"source6",
    "id":11342,
    "originalQuestionNumber":19,
    "question":"The Brighton High School Marching Band has x members. The Brighton Drum Corp has \\(y\\) members. If the Monroe Country All-Star Drum Line consists of all the members of the Brighton High school Marching Band and all the members of the Brighton Drum Corp except for the \\(p\\) common members (\\(p > 0\\)), then how many members does the Monroe Country All-Star Drum Line have in terms of \\(x\\), \\(y\\), and \\(p\\) ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"7",
      "B":"11",
      "C":"\\(3x + 7\\)",
      "D":"\\(3x + 11\\)",
      "E":"\\(6x + 7\\)"
    },
    "exam":"source1",
    "id":11349,
    "originalQuestionNumber":16,
    "question":"The value of \\(3x + 9\\) is how much more than the value of \\(3x - 2\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(kx\\)",
      "B":"\\(\\frac { x } { k } \\)",
      "C":"\\(\\frac { k } { x } \\)",
      "D":"\\(\\frac { 100k } { x } \\)",
      "E":"\\(\\frac { x } { 100k } \\)"
    },
    "exam":"source2",
    "id":11350,
    "originalQuestionNumber":15,
    "question":"A carton contains \\(k\\) boxes of paper cups, and each box contains 100 paper cups. If the carton cost \\(x\\) dollars, what is the cost per paper cup, in cents?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"36",
      "B":"38",
      "C":"40",
      "D":"42",
      "E":"44"
    },
    "exam":"source6",
    "id":11352,
    "originalQuestionNumber":8,
    "question":"If 60 percent of Jared's jigsaw puzzles have 50 pieces and 40 percent of his jigsaw puzzles have 30 pieces each, what is the average (arithmetic mean) number of pieces per puzzle?",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"12",
      "B":"5",
      "C":"3",
      "D":"2.5",
      "E":"1.5"
    },
    "exam":"source2",
    "id":11353,
    "originalQuestionNumber":15,
    "question":"If y is inversely proportional to \\(x^2\\) and if \\(y = 6\\) and \\(x = 5\\), what is the value of \\(y\\) when \\(x = 10\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(3x\\)",
      "B":"\\(9x\\)",
      "C":"\\(12x\\)",
      "D":"\\(24x\\)",
      "E":"\\(27x\\)"
    },
    "exam":"source6",
    "id":11355,
    "originalQuestionNumber":18,
    "question":"In a sequence of numbers, the first term is x and the ratio of each subsequent term to the previous term is 3 to 1. Which of the following expressions represents the difference between the fourth term and the second term?",
    "sectionLength":20,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"280",
      "B":"360",
      "C":"480",
      "D":"560",
      "E":"630"
    },
    "exam":"source5",
    "id":11358,
    "originalQuestionNumber":4,
    "question":"Hoover High School has 840 students, and the ratio of the number of students taking Spanish to the number not taking Spanish is 4:3. How many of the students take Spanish?",
    "sectionLength":16,
    "sectionNumber":9,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"3",
      "B":"8",
      "C":"27",
      "D":"64",
      "E":"208"
    },
    "exam":"source1",
    "id":11359,
    "originalQuestionNumber":11,
    "question":"Some clay is shaped into a sphere with a radius of 2 inches. If more clay is added to the original sphere so that the radius is increased by 4 inches, then the volume of the new sphere is how many times greater than the volume of the original sphere?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\((1, 1)\\)",
      "B":"\\((2, 2)\\)",
      "C":"\\((1, 3)\\)",
      "D":"\\((0, 2)\\)",
      "E":"\\((2, 3)\\)"
    },
    "exam":"source1",
    "id":11360,
    "originalQuestionNumber":13,
    "question":"Line l has a slope of 1 and contains the point \\((1,2)\\). Which of the following points is also on line l?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"-16",
      "B":"-8",
      "C":"0",
      "D":"8",
      "E":"16"
    },
    "exam":"source5",
    "id":11362,
    "originalQuestionNumber":3,
    "question":"If \\(8 - (8 - m) = 8\\), then \\(m\\) =",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"0",
      "B":"1",
      "C":"\\(\\sqrt { 2 } \\)",
      "D":"\\(\\sqrt { 7 } \\)",
      "E":"7"
    },
    "exam":"source5",
    "id":11363,
    "originalQuestionNumber":15,
    "question":"If \\(f(x) = x^2 - 1\\) and \\(g(x) = 1 - x^2\\), then for which of the following values of a does \\(f(2a) - 7 = g(2a) + 7\\)?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"24",
      "B":"28",
      "C":"32",
      "D":"48",
      "E":"50"
    },
    "exam":"source6",
    "id":11365,
    "originalQuestionNumber":11,
    "question":"In a jar of cookies, \\(\\frac { 1 } { 8 } \\) of the cookies are oatmeal raisin, \\(\\frac { 1 } { 4 } \\) are peanut butter, \\(\\frac { 1 } { 2 } \\) are chocolate chip, and the remaining 12 cookies are mint. How many peanut butter cookies are in the jar?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(\\frac { 3 } { 4 } \\)",
      "B":"\\(\\frac { 4 } { 5 } \\)",
      "C":"\\(\\frac { 1 } { 1 } \\)",
      "D":"\\(\\frac { 5 } { 4 } \\)",
      "E":"\\(\\frac { 4 } { 3 } \\)"
    },
    "exam":"source5",
    "id":11367,
    "originalQuestionNumber":13,
    "question":"At Essex High School 100 students are taking chemistry and 80 students are taking are biology. If 20 students are taking both chemistry and biology, what is the ratio of the number of students taking only chemistry to the number taking only biology?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"4",
      "B":"5",
      "C":"6",
      "D":"7",
      "E":"8"
    },
    "exam":"source1",
    "id":11368,
    "originalQuestionNumber":8,
    "question":"How many three-digit integers less than 400 are there such that the sum of the hundreds and units digits is equal to the square of the tens digit?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"1",
      "B":"2",
      "C":"5",
      "D":"6",
      "E":"There are no solutions"
    },
    "exam":"source5",
    "id":11369,
    "originalQuestionNumber":8,
    "question":"If \\(f(x) = x + 5\\), which of the following is a solution of \\(f(3a) + 2 = f(2a) + 3\\) ?",
    "sectionLength":18,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"900",
      "B":"700",
      "C":"500",
      "D":"0.007",
      "E":"0.005"
    },
    "exam":"source1",
    "id":11370,
    "originalQuestionNumber":4,
    "question":"If 0.05 percent of n is 5, what is 5 percent of n?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"35",
      "B":"56",
      "C":"63",
      "D":"75",
      "E":"91"
    },
    "exam":"source1",
    "id":11371,
    "originalQuestionNumber":7,
    "question":"In the sequence 7, 14, 28, x, 112.. what is the value of x?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"5",
      "B":"6",
      "C":"8",
      "D":"10",
      "E":"12"
    },
    "exam":"source2",
    "id":11373,
    "originalQuestionNumber":5,
    "question":"In a regular n-sided polygon, the measure of each interior angle d, in degrees, is given by the function \\(d = \\frac { 180(n - 2 } { n } \\). If the regular polygon has and interior angle of \\(135^o\\), what is the number of sides of the polygon?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"625\\%",
      "B":"400\\%",
      "C":"80\\%",
      "D":"25\\%",
      "E":"4\\%"
    },
    "exam":"source6",
    "id":11374,
    "originalQuestionNumber":8,
    "question":"If \\(\\frac { 4 } { 5 } p\\) is two times the value of \\(\\frac { q } { 10 } \\), where \\(p\\) and \\(q\\) are both positive integers, then \\(p\\) is what percent of \\(q\\) ?",
    "sectionLength":18,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(-1\\)",
      "B":"14",
      "C":"19",
      "D":"26",
      "E":"32"
    },
    "exam":"source1",
    "id":11377,
    "originalQuestionNumber":1,
    "question":"If \\(3x + 2 = 14\\), what is the value of \\(5x - 6\\)?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"74",
      "B":"85",
      "C":"90",
      "D":"94",
      "E":"95"
    },
    "exam":"source5",
    "id":11378,
    "originalQuestionNumber":11,
    "question":"Jordan has taken five math tests so far this semester. If he gets a 70 on his next test, that grade will lower his test average (arithmetic mean) by 4 points. What is his average now?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"diagram1040.eps",
      "B":"diagram501.eps",
      "C":"diagram1247.eps",
      "D":"diagram802.eps",
      "E":"diagram755.eps"
    },
    "exam":"source6",
    "id":11379,
    "originalQuestionNumber":16,
    "question":"Which of the following graphs could represent the equation \\(|y+ 1| = x + 3\\)?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"Increasing linear",
      "B":"Decreasing linear",
      "C":"Exponential growth",
      "D":"Exponential decay"
    },
    "exam":"source7",
    "id":11380,
    "originalQuestionNumber":13,
    "question":"The population of mosquitoes in a swamp is estimated over the course of twenty weeks, as shown in the table. \\{SATSampleTest4-7\\} Which of the following best describes the relationship between time and the estimated population of mosquitoes during the twenty weeks?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"15",
      "B":"20",
      "C":"30",
      "D":"45",
      "E":"60"
    },
    "exam":"source1",
    "id":11382,
    "originalQuestionNumber":3,
    "question":"Six lines intersect at one point to form 12 equal angles that are non-overlapping. What is the measure, in degrees, of one of these angles?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(m\\)",
      "B":"\\(n + m\\)",
      "C":"\\(2n - m\\)",
      "D":"\\(3n - 2m\\)",
      "E":"\\(m - n\\)"
    },
    "exam":"source2",
    "id":11383,
    "originalQuestionNumber":8,
    "question":"Marty has now \\(m\\) more marbles than Jane has. After he gives \\(n\\) marbles too Jane, how many more marbles will Jane have than Marty?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"1",
      "B":"3",
      "C":"5",
      "D":"7",
      "E":"9"
    },
    "exam":"source2",
    "id":11385,
    "originalQuestionNumber":2,
    "question":"If \\(4 < \\sqrt { 6k } < 5\\), then \\(k\\) =",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(a\\sqrt { 2 } \\)",
      "B":"\\(a\\sqrt { 3 } \\)",
      "C":"\\(a\\sqrt { 5 } \\)",
      "D":"\\(3a\\)",
      "E":"\\(5a\\)"
    },
    "exam":"source5",
    "id":11386,
    "originalQuestionNumber":11,
    "question":"A rectangle is twice as long as it is wide. If the width is a, what is the length of a diagonal?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"x is y minus \\frac{1}{4}",
      "B":"x is y minus \\frac{1}{2}",
      "C":"x is y minus 1",
      "D":"x is y plus \\frac{1}{2}"
    },
    "exam":"source7",
    "id":11387,
    "originalQuestionNumber":30,
    "question":"\\begin{gather} 3x + b = 5x - 7 \\\\ 3y + c = 5y - 7 \\end{gather} In the equations above, b and c are constants. If b is c minus \\frac{1}{2}, which of the following is true?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"1",
      "B":"3",
      "C":"5",
      "D":"8",
      "E":"9"
    },
    "exam":"source1",
    "id":11389,
    "originalQuestionNumber":3,
    "question":"If \\(9\\sqrt{x} + 7 = 16\\), \\(x =\\)",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"3(199)",
      "B":"3(200)",
      "C":"\\(3(3^200)\\)",
      "D":"\\(3^200\\)",
      "E":"\\(200^3\\)"
    },
    "exam":"source2",
    "id":11391,
    "originalQuestionNumber":5,
    "question":"\\begin { gather* } 3, 9, 27, 81 ....\\end { gather* } In the sequence above, the first term is 3 and each term after the first is 3 times the preceding term. Which of the following is an expression for the 200th term of the sequence?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"213",
      "B":"222",
      "C":"231",
      "D":"233",
      "E":"333"
    },
    "exam":"source5",
    "id":11392,
    "originalQuestionNumber":14,
    "question":"Megan wrote down all the three-digit numbers that can be written using each of the numerals 1, 2 and 3 exactly once. What is the average (arithmetic mean) of the numbers Megan wrote?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"(5, 9)",
      "B":"(19, 23)",
      "C":"(20, 17)",
      "D":"(22, 18)",
      "E":"(30, 26)"
    },
    "exam":"source6",
    "id":11393,
    "originalQuestionNumber":7,
    "question":"If \\(\\frac { x } { 2 } < 12\\) and \\(y = x - 4\\), then \\((x, y)\\) could equal",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(a = b\\)",
      "B":"\\(a > 0\\)",
      "C":"\\(b > 0\\)",
      "D":"\\(a < b\\)",
      "E":"\\(a > b\\)"
    },
    "exam":"source1",
    "id":11394,
    "originalQuestionNumber":11,
    "question":"Which of the following conditions would make \\(2a - 2b < 0\\)?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"20",
      "B":"25",
      "C":"30",
      "D":"35",
      "E":"40"
    },
    "exam":"source6",
    "id":11396,
    "originalQuestionNumber":1,
    "question":"If \\(\\frac { a - b - 5 } { 2 } = 10\\), then what is the value of \\(a - b\\) ?",
    "sectionLength":18,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(a + b\\)",
      "B":"\\(a + l0b\\)",
      "C":"\\(a + b + 1000\\)",
      "D":"\\(a + b + 10,000\\)",
      "E":"\\(a + 1000b\\)"
    },
    "exam":"source5",
    "id":11404,
    "originalQuestionNumber":18,
    "question":"For any positive integer [n] represents the sum of the integers from 1 to n. For example, [5] = 1 + 2 + 3 + 4 + 5 = 15. If \\([1000] = a\\) and \\([10] = b\\), what is the value of [1010]?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(\\frac{1}{100}\\)",
      "B":"\\(\\frac{1}{50}\\)",
      "C":"\\(\\frac{1}{20}\\)",
      "D":"\\(\\frac{1}{10}\\)",
      "E":"\\(\\frac{1}{5}\\)"
    },
    "exam":"source1",
    "id":11405,
    "originalQuestionNumber":8,
    "question":"In an airport security line, every 20th person has his bag searched, and every 10th person is asked to put her shoes through a special X-ray machine. Of 100 passengers, what is the probability that a passenger will be asked to put his shoes through the X-ray and have his bag searched?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(a = 0\\)",
      "B":"\\(\\sqrt{a + b} = -1\\)",
      "C":"\\(\\sqrt{a + b} = 0\\)",
      "D":"\\(a + b = 1\\)",
      "E":"\\((a + b)^2 = 0\\)"
    },
    "exam":"source1",
    "id":11406,
    "originalQuestionNumber":14,
    "question":"If \\(\\frac{1}{(a + b)^{-\\frac{1}{2}}} = (a + b)^{-\\frac{1}{2}}\\), which of the following must be true?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"6,300",
      "B":"10,000",
      "C":"10,300",
      "D":"20,000",
      "E":"31,400"
    },
    "exam":"source1",
    "id":11407,
    "originalQuestionNumber":19,
    "question":"A radio station emits a signal that can be received for 60 miles in all directions. If the intensity of the signal is strengthened so the reception increases by 40 miles in all directions, by approximately how many square miles is its region of reception increased?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"1",
      "B":"2",
      "C":"4",
      "D":"8",
      "E":"10"
    },
    "exam":"source1",
    "id":11408,
    "originalQuestionNumber":6,
    "question":"There are a total of 20 marbles in a bag containing only red marbles, blue marbles, and yellow marbles. If a marble is selected at random, the probability of getting a red marble is \\(\\frac{2}{5}\\) and the probability of getting a blue marble is \\(\\frac{1}{2}\\). How many yellow marbles are in the bag?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"3, 6",
      "B":"4, 9",
      "C":"5, 15",
      "D":"6, 10",
      "E":"8, 12"
    },
    "exam":"source6",
    "id":11412,
    "originalQuestionNumber":5,
    "question":"Given the five pairs of numbers bellow, for which pair is the ratio of the smaller number to the larger number 2 to 3 ?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"0",
      "B":"1",
      "C":"2",
      "D":"3"
    },
    "exam":"source7",
    "id":11414,
    "originalQuestionNumber":19,
    "question":"A sociologist chose 300 students at random from each of two schools and asked each student how many siblings he or she has. The results are shown in the table below. \\{SATSampleTest2-7\\} There are a total of 2,400 students at Lincoln School and 3,300 students at Washington School. What is the median number of siblings for all the students surveyed?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"-6",
      "B":"-2",
      "C":"2",
      "D":"3",
      "E":"4"
    },
    "exam":"source6",
    "id":11417,
    "originalQuestionNumber":7,
    "question":"Three times a number is the same as that number subtracted from 12. What is the number?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(\\frac { \\pi } { 4 } \\)",
      "B":"\\(\\frac { \\pi - 4 } { 4 } \\)",
      "C":"\\(\\frac { 4 - \\pi } { 4 } \\)",
      "D":"\\(\\pi r\\)",
      "E":"\\(4r\\)"
    },
    "exam":"source6",
    "id":11419,
    "originalQuestionNumber":19,
    "question":"A circle with radius r is inscribed in a square. If a point within the square is randomly selected, what is the probability that the point will not be within the circle?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(4 \\pi\\)",
      "B":"\\(9 \\pi\\)",
      "C":"\\(16 \\pi\\)",
      "D":"\\(25 \\pi\\)",
      "E":"\\(36 \\pi\\)"
    },
    "exam":"source2",
    "id":11420,
    "originalQuestionNumber":6,
    "question":"In the xy-coordinate plane, the center of a circle is at ( 4, 0) and a point on the circle is at (7, 4). What is the area of the circle?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"2",
      "B":"3",
      "C":"4",
      "D":"6",
      "E":"8"
    },
    "exam":"source1",
    "id":11421,
    "originalQuestionNumber":3,
    "question":"Amanda, Ben, and Cindy-made a total of 34 greeting cards. Ben made 4 times as many as Amanda, and Cindy made 3 times as many as Ben. How many greeting cards did Amanda make?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(x + y + z\\)",
      "B":"\\(x - y + z\\)",
      "C":"\\(z - x - y\\)",
      "D":"\\(y - x + z\\)",
      "E":"\\(x - y - z\\)"
    },
    "exam":"source5",
    "id":11424,
    "originalQuestionNumber":7,
    "question":"Anne-Marie was \\(x\\) years old \\(y\\) years ago. How old will she be in \\(z\\) years?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"10",
      "B":"15",
      "C":"30",
      "D":"45",
      "E":"70"
    },
    "exam":"source2",
    "id":11426,
    "originalQuestionNumber":5,
    "question":"The average of \\(p\\) and \\(q\\) is 5, and the average of \\(p^2\\) and \\(q^2\\) is 35. What is the value of \\(pq\\)?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"P = \\frac{(\\frac{r}{1,200})(1 + \\frac{r}{1,200})^N}{(1 + \\frac{r}{1,200})^N - 1}m ",
      "B":"P = \\frac{(1 + \\frac{r}{1,200})^{N} - 1}{(\\frac{r}{1,200})(1 + \\frac{r}{1,200})^{N}}m",
      "C":"P = (\\frac{r}{1,200})m",
      "D":"P = (\\frac{1,200}{r})m"
    },
    "exam":"source7",
    "id":11428,
    "originalQuestionNumber":7,
    "question":"\\begin{gather} m = \\frac{(\\frac{r}{1,200})(1 + \\frac{r}{1,200})^N}{(1 + \\frac{r}{1,200})^N - 1}P \\end{gather} The formula above gives the monthly payment m needed to pay off a loan of P dollars at r percent annual interest over N months. Which of the following gives P in terms of m, r, and N?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(\\frac { d } { s + 10 } = s + 1\\)",
      "B":"\\(\\frac { d } { s } = \\frac { d } { s + 1 } \\)",
      "C":"\\(\\frac { s } { s + 10 } = d\\)",
      "D":"\\(\\frac { d } { s + 10 } - \\frac { d } { s } = 1\\)",
      "E":"\\(\\frac { d } { s } - \\frac { d } { s + 10 } = 1\\)"
    },
    "exam":"source2",
    "id":11431,
    "originalQuestionNumber":4,
    "question":"A train takes one hour longer to travel d miles at its normal speed than it would if it were traveling 10 miles faster. Which of following equations could represent the equation to find the train's normal speed \\(s\\), in miles per hour?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(\\sqrt { n } \\)",
      "B":"\\(\\sqrt { n^2 } \\)",
      "C":"\\(\\frac { 1 } { \\sqrt { n } } \\)",
      "D":"\\(\\frac { 1 } { \\sqrt { n^2 } } \\)",
      "E":"1"
    },
    "exam":"source5",
    "id":11432,
    "originalQuestionNumber":4,
    "question":"For all positive numbers \\(a\\) and \\(b\\), let \\(a \\square b = \\sqrt { ab } \\). If \\(n > 1\\), what does \\(n \\square \\frac { 1 } { n } \\) equal?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"2",
      "B":"1",
      "C":"\\(\\frac { 1 } { 2 } \\)",
      "D":"\\(\\frac { 2 } { 9 } \\)",
      "E":"\\(\\frac { 1 } { 3 } \\)"
    },
    "exam":"source2",
    "id":11433,
    "originalQuestionNumber":1,
    "question":"If \\(\\frac { a } { b } = \\frac { 1 } { 3 } \\) and \\(\\frac { b } { c } = \\frac { 3 } { 2 } \\), what is the value of \\(\\frac { a } { c } \\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(w^-4\\)",
      "B":"\\(w^-2\\)",
      "C":"\\(w^2\\)",
      "D":"\\(w^4\\)",
      "E":"\\(w^6\\)"
    },
    "exam":"source2",
    "id":11436,
    "originalQuestionNumber":11,
    "question":"If \\(x = \\frac { w^2 } { y } \\) and \\(y = \\frac { 1 } { w^2 } \\), what is the value of \\(\\frac { x } { y } \\) in terms of \\(w\\) ?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"325, 000 - 7,500 \\leq y",
      "B":"325,000 \\leq 7,500y",
      "C":"150,000 \\geq 7,500y",
      "D":"175,000 + 7,500y \\geq 325,000"
    },
    "exam":"source7",
    "id":11439,
    "originalQuestionNumber":12,
    "question":"On January 1, 2000, there were 175,000 tons of trash in a landfill that had a capacity of 325,000 tons. Each year since then, the amount of trash in the landfill increased by 7,500 tons. If y represents the time, in years, after January 1, 2000, which of the following inequalities describes the set of years where the landfill is at or above capacity?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(A\\)",
      "B":"\\(B\\)",
      "C":"\\(C\\)",
      "D":"\\(D\\)",
      "E":"\\(E\\)"
    },
    "exam":"source2",
    "id":11444,
    "originalQuestionNumber":18,
    "question":"If \\(x\\) is the coordinate of the indicated point on the number line above, which of the following points represents the coordinate of \\(\\left|\\frac { x } { 5 } \\right|\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(-2\\)",
      "B":"1",
      "C":"\\(\\sqrt{2}\\)",
      "D":"2",
      "E":"\\(2\\sqrt{2}\\)"
    },
    "exam":"source1",
    "id":11445,
    "originalQuestionNumber":19,
    "question":"Let \\(\\_g\\_\\) be defined as \\(\\_g\\_ = 2g^2 - 2\\) for all values of g. If \\(\\_x\\_ = x^2\\), what is the value of x?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(\\frac{n - 1}{2}\\)",
      "B":"\\(\\frac{n}{2}\\)",
      "C":"\\(\\frac{n + 1}{2}\\)",
      "D":"\\(n - 1\\)",
      "E":"\\(2n - 1\\)"
    },
    "exam":"source1",
    "id":11446,
    "originalQuestionNumber":6,
    "question":"For any positive odd integer n, how many positive even integers are less than n?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(-\\frac { 7 } { 2 } \\)",
      "B":"\\(-\\frac { 2 } { 5 } \\)",
      "C":"\\(-\\frac { 2 } { 7 } \\)",
      "D":"\\(\\frac { 2 } { 7 } \\)",
      "E":"\\(\\frac { 2 } { 5 } \\)"
    },
    "exam":"source5",
    "id":11447,
    "originalQuestionNumber":13,
    "question":"If A is at (3, -1) and B is at (5, 6) what is the slope of the perpendicular bisector of segment \\(\\overline { AB } \\) ?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(\\frac { 1 } { 6 } \\)",
      "B":"\\(\\frac { 1 } { 3 } \\)",
      "C":"\\(\\frac { 1 } { 2 } \\)",
      "D":"\\(\\frac { 5 } { 3 } \\)",
      "E":"It cannot be determined from the information given"
    },
    "exam":"source5",
    "id":11450,
    "originalQuestionNumber":14,
    "question":"If \\(A, B, C\\), and \\(D\\) lie on the same straight line, and if \\(AC = 2CD = 3BD\\), what is the value of the ratio \\(\\frac { BC } { CD } \\)?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(\\frac{1}{5}\\)",
      "B":"\\(\\frac{1}{4}\\)",
      "C":"\\(\\frac{3}{10}\\)",
      "D":"\\(\\frac{1}{2}\\)",
      "E":"\\(\\frac{3}{5}\\)"
    },
    "exam":"source1",
    "id":11451,
    "originalQuestionNumber":6,
    "question":"If Maurice has $80, and he spends $32.45 on clothes and gives $27.55 to his sister, what fraction of the original $80 does Maurice have left?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"3",
      "B":"4",
      "C":"5",
      "D":"6",
      "E":"7"
    },
    "exam":"source6",
    "id":11452,
    "originalQuestionNumber":1,
    "question":"When 28 is divided by 8, the remainder is the same as that obtained when 53 is divided by which of the following numbers?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"III only",
      "D":"I and III only",
      "E":"II and III only"
    },
    "exam":"source2",
    "id":11453,
    "originalQuestionNumber":5,
    "question":"If \\(x\\), \\(y\\), and \\(z\\) are positive and \\(x^4 y^3 z^3 > x^5 y^3 z^2\\). Which of the following must be true ? I. \\(x > y\\) II. \\(y > z\\) III. \\(z > x\\)",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(170c\\)",
      "B":"\\(150 + c\\)",
      "C":"\\(150c + 20\\)",
      "D":"\\(150 + 20c\\)",
      "E":"\\(170 + 20c\\)"
    },
    "exam":"source6",
    "id":11454,
    "originalQuestionNumber":2,
    "question":"A chef prepares a multicourse meal at a client's home. For this service, she charges a base price of \\$150, and adds an additional \\$20 for each course ordered. If a client orders c courses, which of the following represents the total charge, in dollars, for the meal?",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"28",
      "B":"30",
      "C":"32",
      "D":"34",
      "E":"36"
    },
    "exam":"source1",
    "id":11456,
    "originalQuestionNumber":1,
    "question":"If \\(5x + 3 = 21\\), then \\(5x + 10 =\\)",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"65",
      "B":"130",
      "C":"325",
      "D":"420",
      "E":"520"
    },
    "exam":"source6",
    "id":11459,
    "originalQuestionNumber":3,
    "question":"Of 650 vehicles in a parking lot, \\(\\frac { 1 } { 5 } \\) are trucks. How many of the vehicles are not trucks?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"-4",
      "B":"-2",
      "C":"0",
      "D":"2",
      "E":"4"
    },
    "exam":"source6",
    "id":11460,
    "originalQuestionNumber":4,
    "question":"What is the value of \\(m\\) if \\(\\frac { 4 } { 3m - 2 } = \\frac { 4 } { m + 6 } \\) ?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"2",
      "B":"4",
      "C":"9",
      "D":"10"
    },
    "exam":"source7",
    "id":11462,
    "originalQuestionNumber":1,
    "question":"If \\frac{x - 1}{3} = k and k = 3, what is the value of x?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"The homes have values that are close to each other.",
      "B":"There are a few homes that are valued much less than the rest.",
      "C":"There are a few homes that are valued much more than the rest.",
      "D":"Many of the homes have values between \\$125,000 and \\$165,000."
    },
    "exam":"source7",
    "id":11466,
    "originalQuestionNumber":18,
    "question":"A survey was taken of the value of homes in a county, and it was found that the mean home value was \\$165,000 and the median home value was \\$125,000. Which of the following situations could explain the difference between the mean and median home values in the county?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(y(n) = 1,000 + 0.12n\\)",
      "B":"\\(y(n) = 1,000 + 1,000(1 + 0.12n)\\)",
      "C":"\\(y(n) = 1,000(0.88)^n\\)",
      "D":"\\(y(n) = 1,000(1.12)^n\\)",
      "E":"\\(y(n) = 1,000(1.12n)\\)"
    },
    "exam":"source2",
    "id":11467,
    "originalQuestionNumber":6,
    "question":"Josephine invests \\$1,000 in a savings account paying 12 percent annual interest. If she invests \\(n\\) years, which of the following functions represents the amount in her account, \\(y\\) in dollars, after \\(n\\) years?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"I only",
      "B":"III only",
      "C":"I and II only",
      "D":"I and III only",
      "E":"I, II, and III"
    },
    "exam":"source5",
    "id":11468,
    "originalQuestionNumber":10,
    "question":"Two sides of a right triangle are 5 and 6. Which of the following could be the length of the third side? I. \\(\\sqrt { 11 } \\) II. \\(\\sqrt { 31 } \\) III. \\(\\sqrt { 61 } \\)",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(\\frac{1}{48}\\)",
      "B":"\\(\\frac{1}{8}\\)",
      "C":"\\(\\frac{1}{6}\\)",
      "D":"6",
      "E":"8"
    },
    "exam":"source1",
    "id":11469,
    "originalQuestionNumber":1,
    "question":"If \\(6a = 48\\) and \\(ab = 1\\), what is the value of b?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"3,000",
      "B":"2,020",
      "C":"1,800",
      "D":"1,470",
      "E":"1,200"
    },
    "exam":"source1",
    "id":11471,
    "originalQuestionNumber":9,
    "question":"If 70 percent of x is 2,100, then what is 40 percent of x?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"2",
      "B":"4",
      "C":"5",
      "D":"7",
      "E":"9"
    },
    "exam":"source1",
    "id":11472,
    "originalQuestionNumber":8,
    "question":"\\begin{gather*} A + A = CB \\\\ C + B = 5 \\end{gather*} Each correctly worked addition problem above shows the sum of two one-digit numbers. If the digits A, B, and C are nonzero, then \\(A =\\)",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"19",
      "B":"95",
      "C":"105",
      "D":"190",
      "E":"200"
    },
    "exam":"source6",
    "id":11473,
    "originalQuestionNumber":7,
    "question":"Stephanie has ten shirts, four pairs of pants, and five pairs of shoes. If an outfit consists of exactly one shirt, one pair of pants and one pair of shoes, how many different outfits could she wear?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(C(p) = 6p - 15\\)",
      "B":"\\(C(p) = 6p - 9\\)",
      "C":"\\(C(p) = 6p\\)",
      "D":"\\(C(p) = 6p + 9\\)",
      "E":"\\(C(p) = 6p + 15\\)"
    },
    "exam":"source6",
    "id":11476,
    "originalQuestionNumber":17,
    "question":"The cost for coal from a certain company is \\$15 for the first pound plus \\$6 for each additional pound of coal. Which of the following functions gives the total cost, in dollars, for p pounds of coal?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"(0, 7)",
      "B":"(1, 7)",
      "C":"(7, 7)",
      "D":"(14, 2)"
    },
    "exam":"source7",
    "id":11477,
    "originalQuestionNumber":12,
    "question":"A line in the xy-plane passes through the origin and has a slope of \\frac{1}{7}. Which of the following points lies on the line?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"50",
      "B":"80",
      "C":"100",
      "D":"120",
      "E":"150"
    },
    "exam":"source5",
    "id":11478,
    "originalQuestionNumber":6,
    "question":"In a class, 20 children were sharing equally the cost of a present for their teacher. When 4 of the children decided not to contribute, each of the other children had to pay \\$1.50 more. How much, in dollars, did the present cost?",
    "sectionLength":18,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(f(5) = -3\\)",
      "B":"\\(f(0) = -5\\)",
      "C":"\\(f(2) = 4\\)",
      "D":"\\(f(1) = k\\)",
      "E":"\\(f(-2) = b\\)"
    },
    "exam":"source2",
    "id":11484,
    "originalQuestionNumber":17,
    "question":"The function f is defined by \\(f(x) = a (x - b)2 + k\\) for all real \\(x\\), where \\(a\\), \\(b\\), and \\(k\\) are constants. If \\(a\\) and \\(k\\) are negative, which of the following CANNOT be true?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(\\frac{y - 2}{4}\\)",
      "B":"\\(\\frac{y + 2}{4}\\)",
      "C":"\\(\\frac{y - 4}{2}\\)",
      "D":"\\(\\frac{y + 4}{2}\\)",
      "E":"\\(\\frac{4y + 4}{2}\\)"
    },
    "exam":"source1",
    "id":11485,
    "originalQuestionNumber":5,
    "question":"Subtract 4 from y. Divide this sum by 2. Add 4 to this quotient. Which of the following is the result obtained by performing the operations described above?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"8",
      "B":"10",
      "C":"12",
      "D":"14",
      "E":"20"
    },
    "exam":"source2",
    "id":11487,
    "originalQuestionNumber":15,
    "question":"Some boys and girls were having a car wash to raise money for a class trip. Initially, \\(\\frac { 2 } { 5 } \\) of the group were girls. Shortly thereafter two girls left and two boys entered, then \\(\\frac { 1 } { 3 } \\) of the group are girls. How many girls were initially in the group?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"-4",
      "B":"-1",
      "C":"6",
      "D":"8",
      "E":"36"
    },
    "exam":"source2",
    "id":11488,
    "originalQuestionNumber":1,
    "question":"If \\(3\\sqrt { k^2 } + 8 = 20\\), which of the following could be the value of \\(k\\) ?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(90(0.12) + 9(h - 8)\\)",
      "B":"\\(90(0.12)h + h - 8\\)",
      "C":"\\(90(0.12)h + 9(h - 8)\\)",
      "D":"\\(90(0.12)(8) + 9(h - 8)\\)",
      "E":"\\(90(0.12)(8) + (h - 8)\\)"
    },
    "exam":"source1",
    "id":11489,
    "originalQuestionNumber":16,
    "question":"The daily cost of running a certain air conditioner is 12 cents per hour for the first 8 hours and 10 cents per hour for each additional hour over 8 hours. Which of the following expressions represents the cost, in dollars, of running this air conditioner for h hours each day, for 90 days, if \\(8 < h < 24\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"f(t) = 325(0.87)^t",
      "B":"f(t) = 325(0.13)^t",
      "C":"f(t) = 0.87(325)^t",
      "D":"f(t) = 0.13(325)^t"
    },
    "exam":"source7",
    "id":11491,
    "originalQuestionNumber":14,
    "question":"A radioactive substance decays at an annual rate of 13 percent. If the initial amount of the substance is 325 grams, which of the following functions f models the remaining amount of the substance, in grams, t years later?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"-13",
      "B":"-11",
      "C":"-10",
      "D":"-9",
      "E":"-8"
    },
    "exam":"source6",
    "id":11492,
    "originalQuestionNumber":7,
    "question":"In the xy-plane, a line contains the points (-3,7), (1,-3) and (3, t). What is the value of t ?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\$10",
      "B":"\\$17",
      "C":"\\$24",
      "D":"\\$31",
      "E":"\\$38"
    },
    "exam":"source6",
    "id":11495,
    "originalQuestionNumber":14,
    "question":"If Duane were to give Gregg \\$14, they would each have the same amount of money. If Duane has \\$45, how much money does Gregg have?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"82",
      "B":"82.5",
      "C":"83",
      "D":"84",
      "E":"84.5"
    },
    "exam":"source1",
    "id":11496,
    "originalQuestionNumber":12,
    "question":"On a certain test, a class of 12 students has an average (arithmetic mean) score of 80. A second class of 18 students has an average score of 85. What is the average score of the combined classes?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"50",
      "B":"60",
      "C":"75",
      "D":"80"
    },
    "exam":"source7",
    "id":11501,
    "originalQuestionNumber":4,
    "question":"Nick surveyed a random sample of the freshman class of his high school to determine whether the Fall Festival should be held in October or November. Of the 90 students surveyed, 25.6\\% preferred October. Based on this information, about how many students in the entire 225-person class would be expected to prefer having the Fall Festival in October?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(|p| \\leq 2\\)",
      "B":"\\(|p - 2| \\leq 2\\)",
      "C":"\\(|p + 2| \\leq 0.25\\)",
      "D":"\\(|p - 2| \\leq 0.25\\)",
      "E":"\\(|p - 17.5 \\leq 0.25\\)"
    },
    "exam":"source2",
    "id":11503,
    "originalQuestionNumber":11,
    "question":"The weight of a box of apples ranges from 1.75 pounds to 2.25 pounds. If \\(p\\) is the weight, in pounds, of the box, which of the following must be true?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"5w",
      "B":"\\(w^5\\)",
      "C":"8w",
      "D":"\\(8w^2\\)",
      "E":"\\(9w^2\\)"
    },
    "exam":"source1",
    "id":11504,
    "originalQuestionNumber":13,
    "question":"If \\(w = 3^3\\), which of the following expressions is equal to \\(3^8\\)?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"20\\%",
      "B":"40\\%",
      "C":"50\\%",
      "D":"60\\%",
      "E":"70\\%"
    },
    "exam":"source6",
    "id":11506,
    "originalQuestionNumber":2,
    "question":"A 20-gallon water tank is filled to capacity. If 8 gallons of water are pumped out of the tank, what percent of the tank is now filled?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"10",
      "B":"12",
      "C":"30",
      "D":"40",
      "E":"80"
    },
    "exam":"source6",
    "id":11509,
    "originalQuestionNumber":3,
    "question":"\\(r = 4c - d\\) \\(t = (c +1)r\\) If r and t are defined by the equations above, what is the value of \\(t\\) when \\(c = 3\\) and \\(d = 2\\) ?",
    "sectionLength":18,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"9",
      "B":"12",
      "C":"18",
      "D":"27",
      "E":"36"
    },
    "exam":"source2",
    "id":11512,
    "originalQuestionNumber":6,
    "question":"If \\(a\\) and \\(b\\) are positive integers, and \\(3^a \\times 3^b = 27\\), what is the value of \\(3^a + 3^b\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"16",
      "B":"24",
      "C":"32",
      "D":"\\(37 \\frac { 1 } { 2 } \\)",
      "E":"50"
    },
    "exam":"source2",
    "id":11516,
    "originalQuestionNumber":15,
    "question":"In the figure above, line \\(\\ell\\) is given by the equation \\(y = -x + 8\\), and line \\(m\\) is given by \\(y = 2x - 7\\). If line \\(\\ell\\) intersects line \\(m\\) at point \\(B\\), what is the area of \\(\\triangle { ABC } \\) ?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"-30",
      "B":"-10",
      "C":"0",
      "D":"10",
      "E":"30"
    },
    "exam":"source5",
    "id":11517,
    "originalQuestionNumber":1,
    "question":"If \\(a = -2\\), what is the value of \\(a^4 - a^3 + a^2 - a\\)?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(-1\\)",
      "B":"0",
      "C":"1",
      "D":"2",
      "E":"4"
    },
    "exam":"source1",
    "id":11518,
    "originalQuestionNumber":2,
    "question":"If \\(x = 1\\) and \\(y = -1\\), then \\(x^2 + 2xy + y^2 =\\)",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"52",
      "B":"44",
      "C":"28",
      "D":"20",
      "E":"16"
    },
    "exam":"source1",
    "id":11522,
    "originalQuestionNumber":6,
    "question":"If \\(x \\wedge y\\) is defined by the expression \\((x - y)^x + (x + y)^y\\), what is the value of \\(4 \\wedge 2\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(d + 10c\\)",
      "B":"\\(d + \\frac { 3c } { 10 } \\)",
      "C":"\\(d + 3c\\)",
      "D":"\\(d + 30c\\)",
      "E":"\\(d + 300c\\)"
    },
    "exam":"source2",
    "id":11524,
    "originalQuestionNumber":11,
    "question":"An advertising medium charges \\(d \\) dollars for a basic fixed fee and \\(c\\) cents for every 10 letters for the advertising description. if 300 letters are used for an advertising description, what is the total amount, in dollars, for the advertisement?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"0",
      "B":"5",
      "C":"7.4",
      "D":"14",
      "E":"17"
    },
    "exam":"source1",
    "id":11525,
    "originalQuestionNumber":11,
    "question":"1. Choose a number between 0.5 and 0.99. 2. Multiply the number from the previous step by 20. 3. Determine the largest integer less than or equal to the number obtained from the previous step. 4. Subtract 4 from the number obtained from the previous step. 5. Write down the resulting number. Which of the following could be a number written in step 5 after steps 1 through 4 have been performed?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"5",
      "B":"12",
      "C":"13",
      "D":"33",
      "E":"55"
    },
    "exam":"source6",
    "id":11528,
    "originalQuestionNumber":7,
    "question":"Zenia drew a route on a map, starting with a 32 centimeter line from her home due north to Anne's home. She continued the route with a 44 centimeter line due south to Beth's home, a 33 centimeter line due west to Caleb's home, at and a 28 centimeter line due east to Damon's home. What is the distance on the map, in centimeters, from Damon's home to Zenia's home?",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\$51.60",
      "B":"\\$57.00",
      "C":"\\$68.40",
      "D":"\\$77.00"
    },
    "exam":"source7",
    "id":11529,
    "originalQuestionNumber":5,
    "question":"The amount of money a performer earns is directly proportional to the number of people attending the performance. The performer earns \\$120 at a performance where 8 people attend. The performer uses 43\\% of the money earned to pay the costs involved in putting on each performance. The rest of the money earned is the performer's profit. What is the profit the performer makes at a performance where 8 people attend?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"I only",
      "B":"III only",
      "C":"I and II only",
      "D":"I and III only",
      "E":"I, II, and III"
    },
    "exam":"source5",
    "id":11530,
    "originalQuestionNumber":9,
    "question":"R, S and T are points with RT = 2RS. Which of the following could be true? I. R, S and T are the vertices of a right triangle. II. R, S and T are three of the vertices of a square. III. R, S and T all lie on the circumference of a circle.",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"6x + 2y = 15",
      "B":"3x - y = 7",
      "C":"2x - 3y = 6",
      "D":"x + 3y = 1"
    },
    "exam":"source7",
    "id":11533,
    "originalQuestionNumber":8,
    "question":"Which of the following equations represents a line that is parallel to the line with equation y = -3x + 4?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"18",
      "B":"20",
      "C":"22",
      "D":"26",
      "E":"28"
    },
    "exam":"source6",
    "id":11534,
    "originalQuestionNumber":3,
    "question":"One box of muffin mix is sufficient to bake six large muffins or ten mini- muffins. How many boxes are needed to bake 180 muffins, 120 of which are large muffins and the rest of which are mini-muffins?",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(x - y = 10\\)",
      "B":"\\(x^2 + y^2 = 100\\)",
      "C":"\\((x + y)(x - y) = 100\\)",
      "D":"\\((x + y)^2 = 100\\)",
      "E":"\\((x - y)^2 = 100\\)"
    },
    "exam":"source6",
    "id":11535,
    "originalQuestionNumber":12,
    "question":"If \\(100 - 2xy - y^2 = x^2\\), which of the following must be true?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(-3\\)",
      "B":"0",
      "C":"1",
      "D":"2",
      "E":"3"
    },
    "exam":"source1",
    "id":11536,
    "originalQuestionNumber":1,
    "question":"If \\(f(x) = x^{-3} + x^3\\), at which of the following values of x is \\(f(x)\\) undefined?",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"III only",
      "D":"I and II only",
      "E":"II and III only"
    },
    "exam":"source2",
    "id":11537,
    "originalQuestionNumber":18,
    "question":"If \\(p\\) is a multiple of 3 and \\(q\\) is a multiple of 5, which of the following must be true? I. p+q is even. II. pq is odd. III. 5p + 3q is a multiple of 15.",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"The piece of furniture is a sofa.",
      "B":"The piece of furniture is a chair.",
      "C":"The piece of furniture is not a leather sofa.",
      "D":"The piece of furniture is not a wooden chair.",
      "E":"The piece of furniture is not a wooden table."
    },
    "exam":"source1",
    "id":11540,
    "originalQuestionNumber":3,
    "question":"Raphael just bought a piece of furniture from a store that sells only sofas and chairs. Which of the following must be true?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"16",
      "B":"19",
      "C":"24",
      "D":"28",
      "E":"36"
    },
    "exam":"source1",
    "id":11547,
    "originalQuestionNumber":6,
    "question":"A rectangular swimming pool has a volume of 8,640 cubic feet. If its length is 60 feet and its depth is 6 feet, what is the width of the pool in feet?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"None",
      "B":"I only",
      "C":"I and II only",
      "D":"I and III only",
      "E":"I, II and III"
    },
    "exam":"source5",
    "id":11548,
    "originalQuestionNumber":12,
    "question":"If \\(abc = 1\\), which of the following could be the number of integers among \\(a\\), \\(b\\) and \\(c\\) ? I. 1 II. 2 III. 3",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"II only",
      "B":"III only",
      "C":"I and II only",
      "D":"I and III only",
      "E":"I, II, and III"
    },
    "exam":"source1",
    "id":11549,
    "originalQuestionNumber":10,
    "question":"\\begin{gather*} A = \\{\\frac{3}{5}, 2, \\frac{7}{2}, 4, \\frac{15}{3}, 8\\} \\\\ B = \\{\\frac{3}{5}, \\frac{5}{3}, 4, 8\\} \\end{gather*} If n is a member of both set A and set B above, which of the following must be true? I. n is an integer II. 5n is an integer III. n = 5",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"300",
      "B":"350",
      "C":"400",
      "D":"450"
    },
    "exam":"source7",
    "id":11550,
    "originalQuestionNumber":2,
    "question":"A quality control manager at a factory selects 7 lightbulbs at random for inspection out of every 400 lightbulbs produced. At this rate, how many lightbulbs will be inspected if the factory produces 20,000 lightbulbs?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"X is multiplied by 1.5.",
      "B":"X is multiplied by 3.",
      "C":"X is multiplied 4.5.",
      "D":"X is multiplied by 6.",
      "E":"X is multiplied by 9."
    },
    "exam":"source5",
    "id":11551,
    "originalQuestionNumber":18,
    "question":"If \\(X = \\frac { ab^2 } { c } \\), what is the result on X of doubling a, tripling b, and quadrupling c?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(2b^2 - 7b + 49\\)",
      "B":"\\(b^2 - 14b + 49\\)",
      "C":"\\(b^2 + 14b + 49\\)",
      "D":"\\(b^2 - 14b + 53\\)",
      "E":"\\(b^2 + 14b + 53\\)"
    },
    "exam":"source1",
    "id":11554,
    "originalQuestionNumber":7,
    "question":"If \\(a = 9c^2 + 4\\) and \\(b = 7 + 3c\\), what is a in terms of b?",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"3",
      "B":"5",
      "C":"6",
      "D":"7",
      "E":"8"
    },
    "exam":"source2",
    "id":11556,
    "originalQuestionNumber":4,
    "question":"If the product of two positive integers is greater than 20, and the sum of the two integers is 10, which of the following cannot be one of the integers?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(y = - \\frac { 1 } { 3 } x - 2\\)",
      "B":"\\(y = - \\frac { 1 } { 2 } x - 3\\)",
      "C":"\\(y = - 2x - 3\\)",
      "D":"\\(y = - 2x + 3\\)",
      "E":"\\(y = -3x - 2\\)"
    },
    "exam":"source6",
    "id":11557,
    "originalQuestionNumber":3,
    "question":"Which of the following equation defines the line in the xy coordinate system above?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"40",
      "B":"36",
      "C":"32",
      "D":"28",
      "E":"24"
    },
    "exam":"source2",
    "id":11563,
    "originalQuestionNumber":16,
    "question":"Let the \\(n\\)th term of a sequence \\(a_n\\) be defined by \\(a_n = 4n + 2\\). What is the value of \\((a_{50} - a_{40})\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(2c\\)",
      "B":"\\(\\frac { 8c } { 9 } \\)",
      "C":"\\(\\frac { 2c } { 3 } \\)",
      "D":"\\(\\frac { 4c } { 9 } \\)",
      "E":"\\(\\frac { c } { 3 } \\)"
    },
    "exam":"source2",
    "id":11565,
    "originalQuestionNumber":9,
    "question":"A cake recipe calls for \\(\\frac { 1 } { 3 } \\) teaspoon of baking powder for \\(\\frac { 3 } { 4 } \\) cup of the flour. If the recipe is changed to include c cups of flour, how much teaspoon of baking powder, in terms of c, is needed?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[

    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(\\frac { 3a^4c^4 } { b } \\)",
      "B":"\\(\\frac { 3c^3 } { ab } \\)",
      "C":"\\(\\frac { 3bc^4 } { a^4 } \\)",
      "D":"\\(\\frac { a^4c^3 } { 3b } \\)",
      "E":"\\(3c^4\\)"
    },
    "exam":"source5",
    "id":11567,
    "originalQuestionNumber":13,
    "question":"The expression \\(\\frac { 12a^2b { \\frac { 1 } { 2 } } c^6 } { 4a^ { -2 } b^2c^2 } \\) is equivalent to which of the following?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(\\frac { 4 } { 9 } \\)",
      "B":"\\(\\frac { 4 } { 5 } \\)",
      "C":"\\(\\frac { 5 } { 4 } \\)",
      "D":"\\(\\frac { 9 } { 4 } \\)",
      "E":"\\(\\frac { 14 } { 5 } \\)"
    },
    "exam":"source5",
    "id":11570,
    "originalQuestionNumber":4,
    "question":"If \\(\\frac { 5 } { 9 } \\) of the members of the school chorus are boys, what is the ratio of girls to boys in the chorus ?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\$1,000",
      "B":"\\$1,500",
      "C":"\\$1,600",
      "D":"\\$2,500",
      "E":"\\$5,000"
    },
    "exam":"source1",
    "id":11571,
    "originalQuestionNumber":11,
    "question":"Jo spends 25 percent of her monthly income on food, 30 percent on rent, 20 percent on insurance, and 10 percent on entertainment and miscellaneous expenses. Of her remaining income, she gives half to charity and saves the rest. If Jo saves 75 dollars every month, what is her total monthly income?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(\\frac { 2 } { 5 } \\)",
      "B":"\\(\\frac { 3 } { 5 } \\)",
      "C":"\\(\\frac { 1 } { 2 } \\)",
      "D":"\\(\\frac { 2 } { 3 } \\)",
      "E":"\\(\\frac { 3 } { 4 } \\)"
    },
    "exam":"source2",
    "id":11572,
    "originalQuestionNumber":14,
    "question":"If a number is chosen at random from the set \\(\\lbrace -10, -8, -7, -2, 0, 3, 5, 7, 8, 10 \\rbrace\\), what is the probability that it is a member of the solution set of \\(|x - 2| > 6\\) ?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"10, 10, 10, 50, 70",
      "B":"10, 20, 25, 30, 40",
      "C":"15, 35, 35, 35, 55",
      "D":"10, 20, 25, 35, 45",
      "E":"5, 15, 25, 25, 50"
    },
    "exam":"source6",
    "id":11573,
    "originalQuestionNumber":3,
    "question":"For which of the following lists of numbers is the mode equal to the average (arithmetic mean) ?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"-8",
      "B":"-7",
      "C":"-5",
      "D":"-4",
      "E":"-3"
    },
    "exam":"source6",
    "id":11574,
    "originalQuestionNumber":8,
    "question":"If the sum of two negative integers is -15 and the product of two integers is less than 40, then which of the following could be one of the two integers?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(f(x) = 4x + 1\\)",
      "B":"\\(f(x) = 6 x- 7\\)",
      "C":"\\(f(x) = -3x + 11\\)",
      "D":"\\(f(x) = -4x + 13\\)",
      "E":"\\(f(x) = -6x + l6\\)"
    },
    "exam":"source6",
    "id":11577,
    "originalQuestionNumber":5,
    "question":"When the organizers of a bake sale sell brownies for \\$ 1.50 each, they sell 7 brownies every hour. When the brownies are sold for \\$2.00 each, 5 brownies are sold each hour. If \\(x\\) is the price per brownie in dollars, and \\(f\\) is the number of brownies sold per hour, then which of the following could represent \\(f\\) as a function of \\(x\\)?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"2",
      "B":"5",
      "C":"6",
      "D":"8",
      "E":"12"
    },
    "exam":"source1",
    "id":11578,
    "originalQuestionNumber":2,
    "question":"When 2x is subtracted from 48 and the difference is divided by \\(x + 3\\), the result is 4. What is the value of x?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"1",
      "B":"2",
      "C":"4",
      "D":"6",
      "E":"9"
    },
    "exam":"source2",
    "id":11581,
    "originalQuestionNumber":4,
    "question":"For all positive values of \\(a\\) and \\(b\\), let \\(a \\odot b\\) be defined by \\(a \\odot b = \\frac { ab } { a + b } \\)? If \\((10 \\odot 10)^2 - (8 \\odot 8)^2 = k\\), where \\(k\\) is a constant, what is the value of \\(k\\)?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(\\frac { x } { 2 } \\)",
      "B":"\\(\\frac { x + 3 } { 2(x - 3) } \\)",
      "C":"\\(\\frac { x - 1 } { 2x - 6 } \\)",
      "D":"\\(\\frac { x^2 - 3x - 3 } { 2x - 7 } \\)",
      "E":"\\(\\frac { x^2 - x - 3 } { -7 } \\)"
    },
    "exam":"source5",
    "id":11582,
    "originalQuestionNumber":13,
    "question":"If \\(x \\neq -1\\), 1, or 3, which of the following is equivalent to \\(\\frac { x^2 - x } { 2x - 6 } \\times \\frac { x^2 - 2x - 3 } { x^2 - 1 } \\) ?",
    "sectionLength":16,
    "sectionNumber":9,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(2b\\)",
      "B":"\\(b^2\\)",
      "C":"\\(\\frac { b } { 2 } \\)",
      "D":"\\(\\frac { 2 } { b } \\)",
      "E":"\\(b + 2\\)"
    },
    "exam":"source5",
    "id":11583,
    "originalQuestionNumber":2,
    "question":"Beth has twice as many baseball cards as Bruce. If Beth has \\(b\\) cards, how many cards does Bruce have?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"5 points",
      "B":"6 points",
      "C":"7 points",
      "D":"8 points",
      "E":"9 points"
    },
    "exam":"source6",
    "id":11584,
    "originalQuestionNumber":6,
    "question":"In a certain game, different colored tokens are worth different numbers of points. A blue token and a red token together are worth a total of 12 points, a blue token and a green token together are worth a total of 13 points, and a red token and a green token together are worth a total of 15 points. How many points is a blue token worth?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"1.3",
      "B":"7.8",
      "C":"13",
      "D":"78",
      "E":"130"
    },
    "exam":"source1",
    "id":11586,
    "originalQuestionNumber":6,
    "question":"A new airplane can travel at speeds up to 4,680 miles per hour. How many miles can the airplane travel in 10 seconds?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(\\frac { 5x + y } { 2 } \\)",
      "B":"\\(\\frac { 5x + 5y } { 2 } \\)",
      "C":"\\(\\frac { 5 + x + y } { 3 } \\)",
      "D":"\\(5 + \\frac { x + y } { 2 } \\)",
      "E":"\\(\\frac { 5 + 5x + 5y } { 3 } \\)"
    },
    "exam":"source5",
    "id":11587,
    "originalQuestionNumber":3,
    "question":"Which of the following is an expression for \"the product of 5 and the average (arithmetic mean) of x and y\"?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"2200.0022",
      "B":"2224.2442",
      "C":"2242.4242",
      "D":"2246.2462",
      "E":"2246.6422"
    },
    "exam":"source5",
    "id":11589,
    "originalQuestionNumber":1,
    "question":"Which of the following numbers has the same digit in the hundreds and hundredths places?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(\\frac { 1 } { 4 } \\)",
      "B":"\\(\\frac { 3 } { 8 } \\)",
      "C":"\\(\\frac { 1 } { 2 } \\)",
      "D":"\\(\\frac { 5 } { 8 } \\)",
      "E":"\\(\\frac { 3 } { 4 } \\)"
    },
    "exam":"source6",
    "id":11591,
    "originalQuestionNumber":6,
    "question":"\\begin { gather* } -4,-3,-2,-1,0,1,2,3 \\end { gather* } If a number is randomly selected from the list above, what is the probability that it will be greater than -2 ?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"115",
      "B":"120",
      "C":"124",
      "D":"173"
    },
    "exam":"source7",
    "id":11593,
    "originalQuestionNumber":26,
    "question":"Katarina is a botanist studying the production of pears by two types of pear trees. She noticed that Type A trees produced 20 percent more pears than Type B trees did. Based on Katarina's observation, if the Type A trees produced 144 pears, how many pears did the Type B trees produce?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(\\frac{wp}{60x}\\)",
      "B":"\\(\\frac{wpx}{60}\\)",
      "C":"\\(\\frac{60wp}{x}\\)",
      "D":"\\(\\frac{wx}{60p}\\)",
      "E":"60wpx"
    },
    "exam":"source1",
    "id":11598,
    "originalQuestionNumber":20,
    "question":"Bill has to type a paper that is p pages long, in which each page contains w words. If Bill types an average of x words per minute, how many hours will it take him to finish the paper?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"0.002",
      "B":"0.12",
      "C":"\\(8\\frac { 1 } { 3 } \\)",
      "D":"20",
      "E":"500"
    },
    "exam":"source5",
    "id":11599,
    "originalQuestionNumber":5,
    "question":"Assume that light travels at 300,000 kilometers per second, and the sun is 150,000,000 kilometers from Earth. How many minutes does it take for light to travel from the sun to Earth?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\$2400",
      "B":"\\$2450",
      "C":"\\$2500",
      "D":"\\$2600",
      "E":"\\$2700"
    },
    "exam":"source5",
    "id":11601,
    "originalQuestionNumber":3,
    "question":"A lacrosse team raised some money. The me used 74\\% of the money to buy uniforms, 18\\% to buy equipment, and the remaining \\$216 for a team party. How much money did they raise?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(z - y = 2\\)",
      "B":"\\(x + y + z = 3y\\)",
      "C":"\\(x + y < z\\)",
      "D":"\\(x + y = z\\)",
      "E":"\\(2z = 3y\\)"
    },
    "exam":"source6",
    "id":11602,
    "originalQuestionNumber":5,
    "question":"If \\(x < y < z\\) and the average (arithmetic mean) of \\(x\\), \\(y\\), and \\(z\\) is \\(y\\), which of the following must be true?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"0",
      "B":"\\(\\frac { 1 } { 2 } \\)",
      "C":"1",
      "D":"b",
      "E":"\\(\\frac { 1 } { b } \\)"
    },
    "exam":"source2",
    "id":11605,
    "originalQuestionNumber":6,
    "question":"If \\(ab = k\\), \\(b = ka\\),and \\(k\\neq 0\\), which of the following could be equal to \\(a\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"79.4",
      "B":"80.5",
      "C":"80.6",
      "D":"81.2",
      "E":"81.4"
    },
    "exam":"source5",
    "id":11606,
    "originalQuestionNumber":18,
    "question":"Mrs. James gave a test to her two geometry classes. The 24 students in her first-period class had a class average (arithmetic mean) of 78. The average of the 26 students in her second-period class was 83. What was the average for all students taking the exam?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"I and III only",
      "D":"II and III only",
      "E":"I, II, and III"
    },
    "exam":"source1",
    "id":11612,
    "originalQuestionNumber":8,
    "question":"If x and y are integers such that \\(x^2 = 81\\) and \\(2y^3 = 54\\), which of the following could be true? I. \\(x = 9\\) II. \\(y = -3\\) III. \\(x + y = -6\\)",
    "sectionLength":18,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\$18 million",
      "B":"\\$36 million",
      "C":"\\$63 million",
      "D":"\\$84 million",
      "E":"\\$126 million"
    },
    "exam":"source1",
    "id":11614,
    "originalQuestionNumber":8,
    "question":"During the 2000 fiscal year, a company made of \\(\\frac{1}{7}\\) its profits in the first quarter, \\(\\frac{1}{3}\\) of its profits in the second quarter, \\(\\frac{1}{2}\\) of its profits in the third quarter, and the remaining $2 million in the fourth quarter. What were the total profits for the fiscal year?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(y^2\\)",
      "B":"\\(1 - y\\)",
      "C":"\\(1 + y\\)",
      "D":"\\(2y\\)",
      "E":"\\(\\frac{1}{y + 2}\\)"
    },
    "exam":"source1",
    "id":11615,
    "originalQuestionNumber":14,
    "question":"If \\(-1 < y < 0\\), which of the following is the greatest?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"3",
      "B":"-3",
      "C":"-13",
      "D":"-15",
      "E":"-30"
    },
    "exam":"source6",
    "id":11618,
    "originalQuestionNumber":2,
    "question":"If \\(3d - 2q = 17\\) and \\(2d + 2q = -32\\), what is the value of \\(10d\\)?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"0",
      "B":"1",
      "C":"2",
      "D":"3",
      "E":"4"
    },
    "exam":"source1",
    "id":11619,
    "originalQuestionNumber":14,
    "question":"For all u and v, let \\(\\triangledown\\) be defined by \\(u \\triangledown v = u - v + 2\\). What is the value of \\((2 \\triangledown 3) \\triangledown 1\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(\\lbrace -8, -6, 6, 8\\rbrace\\)",
      "B":"\\(\\lbrace -9, -8, -7, -6, -5, 5, 6, 7, 8, 9\\rbrace\\)",
      "C":"\\(\\lbrace -9, -8, -7, -6, 6, 7, 8, 9\\rbrace\\)",
      "D":"\\(\\lbrace 6, 8\\rbrace\\)",
      "E":"\\(\\lbrace 6, 7, 8, 9\\rbrace\\)"
    },
    "exam":"source6",
    "id":11622,
    "originalQuestionNumber":19,
    "question":"The members of set R are the integer solutions of |y| < 10, and the members of set S are the even integer solutions of |x| >5. Which of the following includes all the members common to both set R and set S ?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"12",
      "B":"24",
      "C":"32",
      "D":"40",
      "E":"48"
    },
    "exam":"source1",
    "id":11623,
    "originalQuestionNumber":3,
    "question":"All numbers that are divisible by both 4 and 6 are also divisible by 8. Which of the following numbers can be used to show that the above statement is FALSE?",
    "sectionLength":18,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"7",
      "B":"6",
      "C":"5",
      "D":"4",
      "E":"3"
    },
    "exam":"source1",
    "id":11629,
    "originalQuestionNumber":2,
    "question":"A group of 48 employees is taking 11 cars to the annual company picnic. If each car will be occupied by 4 or 5 employees, what is the number of cars occupied by 5 employees?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"Amelia increases the distance of her longest run by 0.5 miles each week.",
      "B":"Amelia increases the distance of her longest run by 2 miles each week.",
      "C":"Amelia increases the distance of her longest run by 2 miles every 3 weeks.",
      "D":"Amelia increases the distance of her longest run by 1.5 miles each week."
    },
    "exam":"source7",
    "id":11630,
    "originalQuestionNumber":7,
    "question":"While preparing to run a marathon, Amelia created a training schedule in which the distance of her longest run every week increased by a constant amount. If Amelia's training schedule requires that her longest run in week 4 is a distance of 8 miles and her longest run in week 16 is a distance of 26 miles, which of the following best describes how the distance Amelia runs changes between week 4 and week 16 of her training schedule?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"t = \\frac{a - 1,052}{1.08}",
      "B":"t = \\frac{a + 1,052}{1.08}",
      "C":"t = \\frac{1,052 - a}{1.08}",
      "D":"t = \\frac{1.08}{a + 1,052}"
    },
    "exam":"source7",
    "id":11631,
    "originalQuestionNumber":9,
    "question":"\\begin{gather} a = 1,052 + 1.08t \\end{gather} The speed of a sound wave in air depends on the air temperature. The formula above shows the relationship between a, the speed of a sound wave, in feet per second, and t, the air temperature, in degrees Fahrenheit (degrees F). Which of the following expresses the air temperature in terms of the speed of a sound wave?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"30",
      "B":"37.5",
      "C":"50",
      "D":"60",
      "E":"62.5"
    },
    "exam":"source1",
    "id":11632,
    "originalQuestionNumber":9,
    "question":"In a certain country, the ratio of people 50 and over to people under 50 is 3 to 5. What percent of the population is under 50?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"5",
      "B":"6",
      "C":"7",
      "D":"8",
      "E":"9"
    },
    "exam":"source2",
    "id":11633,
    "originalQuestionNumber":4,
    "question":"If \\(k\\) is an integer and \\(\\frac { k + 5 } { 30 } < \\frac { 7 } { 20 } < \\frac { k } { 10 } \\), then \\(k\\) =",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"24",
      "B":"25",
      "C":"26",
      "D":"27",
      "E":"28"
    },
    "exam":"source6",
    "id":11634,
    "originalQuestionNumber":11,
    "question":"Ron has a bucket of red, white, and blue marbles. The number of red marbles is two more than the number of blue marbles, and the number of white marbles is twice the number of red marbles. Which of the following could be the total number of marbles?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(1:2\\)",
      "B":"\\(1:4\\)",
      "C":"\\(2:5\\)",
      "D":"\\(1:6\\)",
      "E":"\\(2:7\\)"
    },
    "exam":"source2",
    "id":11635,
    "originalQuestionNumber":9,
    "question":"On a farm, the ratio of cows to goats is \\(1:2\\) and the ratio of goats to pigs is \\(4:5\\). What is the ratio of cows to pigs?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"1",
      "B":"2",
      "C":"3",
      "D":"4",
      "E":"5"
    },
    "exam":"source5",
    "id":11636,
    "originalQuestionNumber":3,
    "question":"The weights, in kilograms, of five students are 48, 56, 61, 52, and 57. If 1 kilogram = 2.2 pounds, how many of the students weigh over 120 pounds?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"5 + 180m",
      "B":"225 + 5m",
      "C":"180 + 5m",
      "D":"180 - 5m"
    },
    "exam":"source7",
    "id":11639,
    "originalQuestionNumber":2,
    "question":"One of the requirements for becoming a court reporter is the ability to type 225 words per minute. Donald can currently type 180 words per minute, and believes that with practice he can increase his typing speed by 5 words per minute each month. Which of the following represents the number of words per minute that Donald believes he will be able to type m months from now?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"6",
      "B":"8",
      "C":"12",
      "D":"32",
      "E":"64"
    },
    "exam":"source5",
    "id":11640,
    "originalQuestionNumber":11,
    "question":"If \\(f(x) = x^ { \\frac { 1 } { 2 } } + x^ { \\frac { 1 } { 4 } } \\), what is the value of \\(f(16)\\) ?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"3.5",
      "B":"4",
      "C":"4.5",
      "D":"5"
    },
    "exam":"source7",
    "id":11645,
    "originalQuestionNumber":25,
    "question":"\\begin{gather} h = -4.9t^2 + 25t \\end{gather} The equation above expresses the approximate height h, in meters, of a ball t seconds after it is launched vertically upward from the ground with an initial velocity of 25 meters per second. After approximately how many seconds will the ball hit the ground?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(2x\\)",
      "B":"\\(2x - 3\\)",
      "C":"\\(2x + 3\\)",
      "D":"\\(3 - 2x\\)",
      "E":"\\(3 + 2x\\)"
    },
    "exam":"source2",
    "id":11650,
    "originalQuestionNumber":6,
    "question":"If \\(4^x = (\\frac { 1 } { 2 } )^ { y - 3 } \\), what is the value of \\(y\\) in terms of \\(x\\)?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"25",
      "B":"26",
      "C":"256",
      "D":"676",
      "E":"677"
    },
    "exam":"source5",
    "id":11652,
    "originalQuestionNumber":9,
    "question":"The first term of a sequence is 1 and every term after the first one is 1 more than the square of the preceding term. What is the fifth term?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"0",
      "B":"10",
      "C":"18",
      "D":"28",
      "E":"54"
    },
    "exam":"source6",
    "id":11653,
    "originalQuestionNumber":13,
    "question":"If \\(w\\) is a positive odd integer, which of the following gives a possible value of the product of one more than \\(w\\) and 2 less than \\(w\\) ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"81",
      "B":"117",
      "C":"153",
      "D":"189",
      "E":"225"
    },
    "exam":"source1",
    "id":11656,
    "originalQuestionNumber":8,
    "question":"If \\(x^2 + y^2 = 153\\) and \\(xy = 36\\), what is the value of \\((x - y)^2\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"10",
      "B":"12",
      "C":"15",
      "D":"21",
      "E":"36"
    },
    "exam":"source6",
    "id":11658,
    "originalQuestionNumber":9,
    "question":"If, for all integers \\(x\\) and \\(y\\), \\(x \\ddagger y\\) is defined by \\(x \\ddagger y = x + y \\times x\\), what is the value of \\(3 \\ddagger 4\\) ?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"One",
      "B":"Two",
      "C":"Three",
      "D":"Four",
      "E":"Five"
    },
    "exam":"source6",
    "id":11659,
    "originalQuestionNumber":1,
    "question":"A snail travels 1 foot in 48 minutes. If the snail travels at a constant rate, how many minutes does it take to travel 1 inch? (1 foot = 12 inch)",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"60",
      "B":"125",
      "C":"160",
      "D":"225",
      "E":"260"
    },
    "exam":"source6",
    "id":11660,
    "originalQuestionNumber":8,
    "question":"The total monthly cost c to send \\(x\\) text messages is given by the function \\(C(x) = 0.05x - 2.5\\) for all \\(x \\geq 51\\). If Hannah received a bill for \\$10.50 for sending text messages last month, how many text messages did she send?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"2 : 5",
      "B":"3 : 5",
      "C":"2 : 3",
      "D":"3 : 2",
      "E":"5 : 2"
    },
    "exam":"source5",
    "id":11662,
    "originalQuestionNumber":2,
    "question":"If 24 of the 40 students in a club are girls, what is the ratio of boys to girls in the club?",
    "sectionLength":18,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(-y\\)",
      "B":"0",
      "C":"y",
      "D":"\\(y^2\\)",
      "E":"\\(\\frac{1}{4}\\)"
    },
    "exam":"source1",
    "id":11664,
    "originalQuestionNumber":4,
    "question":"If \\(\\frac{x + y}{x} = 0\\), what is the value of x?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"6",
      "B":"18",
      "C":"36",
      "D":"216",
      "E":"1296"
    },
    "exam":"source5",
    "id":11665,
    "originalQuestionNumber":5,
    "question":"What is the volume, in cubic inches, of a cube whose total surface area is 216 square inches?",
    "sectionLength":18,
    "sectionNumber":2,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"Venus",
      "B":"Saturn",
      "C":"Uranus",
      "D":"Neptune"
    },
    "exam":"source7",
    "id":11666,
    "originalQuestionNumber":11,
    "question":"The chart above shows approximations of the acceleration due to gravity in meters per second squared (\\frac{m}{sec^2}) for the eight planets in our solar system. The weight of an object on a given planet can be found by using the formula W = mg, where W is the weight of the object measured in newtons, m is the mass of the object measured in kilograms, and g is the acceleration due to gravity on the planet measured in \\frac{m}{sec^2}. An object on Earth has a weight of 150 newtons. On which planet would the same object have an approximate weight of 170 newtons?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"diagram1469.png",
      "B":"diagram347.png",
      "C":"diagram1684.png",
      "D":"diagram466.png",
      "E":"diagram234.png"
    },
    "exam":"source1",
    "id":11667,
    "originalQuestionNumber":10,
    "question":"Megan began a one-way 5-mile bicycle trip by riding very quickly uphill for 2 miles. She rested for 10 minutes and then rode slowly for the rest of the trip. Which of the following graphs could correctly represent the trip?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"15",
      "B":"22",
      "C":"71",
      "D":"78",
      "E":"484"
    },
    "exam":"source1",
    "id":11671,
    "originalQuestionNumber":4,
    "question":"If \\(m^2 + 7 = 29\\), then \\(m^2 - 7 =\\)",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(-4\\)",
      "B":"\\(-1\\)",
      "C":"0",
      "D":"1",
      "E":"4"
    },
    "exam":"source1",
    "id":11673,
    "originalQuestionNumber":13,
    "question":"\\begin{gather*} 4, -4, -1, ... \\end{gather*} The first term in the sequence above is 4. Each even-numbered term is found by multiplying the previous term by \\(-1\\); each odd-numbered term is found by adding 3 to the previous term. For example, the second term is \\(4 \\times - 1 = -4\\), and the third term is \\(-4 + 3 = -1\\). What is the 37th term of the sequence?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(\\frac{1}{25}\\)",
      "B":"\\(\\frac{1}{6}\\)",
      "C":"\\(\\frac{1}{5}\\)",
      "D":"5",
      "E":"6"
    },
    "exam":"source1",
    "id":11674,
    "originalQuestionNumber":18,
    "question":"If \\(xy > 0\\), \\(\\frac{1}{x} + \\frac{1}{y} = 5\\), and \\(\\frac{1}{xy} = 6\\), then \\(\\frac{x + y}{5} =\\)",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"5",
      "B":"6",
      "C":"\\(6\\frac { 1 } { 3 } \\)",
      "D":"\\(6\\frac { 3 } { 4 } \\)",
      "E":"8"
    },
    "exam":"source2",
    "id":11675,
    "originalQuestionNumber":2,
    "question":"The scale of a map for Bear Mountain National Park is 2 inches = 9 miles. The distance between Discovery Point and Overlook on the map is about \\(1\\frac { 1 } { 2 } \\)inches. What is the distance between these two places in miles?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[

    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(0.5y\\)",
      "B":"\\(0.8y\\)",
      "C":"\\(0.9y\\)",
      "D":"\\(y\\)",
      "E":"\\(1.2y\\)"
    },
    "exam":"source6",
    "id":11676,
    "originalQuestionNumber":4,
    "question":"If \\(x > 0\\) and 20 percent of \\(x\\) is 30 percent of\\( y\\) , which of the following represents 80 percent of \\(x\\) ?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"0",
      "B":"5",
      "C":"10",
      "D":"15",
      "E":"20"
    },
    "exam":"source6",
    "id":11678,
    "originalQuestionNumber":13,
    "question":"A fire fighter with a 52-foot ladder approaches a burning building, which rests on level ground. If the top of the ladder must be at least 48 feet above ground level, what is the maximum possible distance, in feet, from the exact middle of the ladder to the wall of the building?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(-8\\)",
      "B":"\\(-4\\)",
      "C":"0",
      "D":"4",
      "E":"8"
    },
    "exam":"source1",
    "id":11679,
    "originalQuestionNumber":15,
    "question":"\\begin{gather*} 3x - 4y = 10 \\\\ 6x + wy = 16 \\end{gather*} For which of the following values of w will the system of equations above have no solutions?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"115",
      "B":"120",
      "C":"125",
      "D":"130",
      "E":"145"
    },
    "exam":"source6",
    "id":11680,
    "originalQuestionNumber":9,
    "question":"Three lines, \\(\\ell_1\\), \\(\\ell_2\\) and \\(\\ell_3\\), intersect as shown. What is the value of \\(m\\) ?",
    "sectionLength":16,
    "sectionNumber":9,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"-6x - 5",
      "B":"6x + 5",
      "C":"6x - 5",
      "D":"6x^2 - 15x"
    },
    "exam":"source7",
    "id":11683,
    "originalQuestionNumber":4,
    "question":"If f(x) = -2x + 5, what is f(-3x) equal to?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(-3a^5b^8\\)",
      "B":"\\(-3a^6b^15\\)",
      "C":"\\(-27a^5b^8\\)",
      "D":"\\(-27a^6b^15\\)",
      "E":"\\(27a^6b^15\\)"
    },
    "exam":"source6",
    "id":11685,
    "originalQuestionNumber":8,
    "question":"\\((-3a^2b^5)^3\\) =",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"20",
      "B":"18",
      "C":"16",
      "D":"14",
      "E":"12"
    },
    "exam":"source2",
    "id":11686,
    "originalQuestionNumber":6,
    "question":"If \\(n = 4p^2q\\), where \\(p\\) and \\(q\\) are distinct prime numbers, and not equal to 2, how many factors does the number \\(n\\) have?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"-3",
      "B":"-2",
      "C":"-1",
      "D":"0",
      "E":"2"
    },
    "exam":"source2",
    "id":11688,
    "originalQuestionNumber":3,
    "question":"In an xy- coordinate plane, the distance between points \\(A (1,3)\\) and \\(B (5,t)\\) is 5. Which of the following could be a value of \\(t\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[

    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"4",
      "B":"6",
      "C":"9",
      "D":"11",
      "E":"32"
    },
    "exam":"source1",
    "id":11689,
    "originalQuestionNumber":3,
    "question":"What is the value of x if \\(2x + 3y = 11\\) and \\(2x - y = 7\\)?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\frac{d - 4}{c}",
      "B":"\\frac{c - 4}{d}",
      "C":"\\frac{4 - d}{c}",
      "D":"\\frac{4 - c}{d}"
    },
    "exam":"source7",
    "id":11690,
    "originalQuestionNumber":8,
    "question":"The line y = kx + 4, where k is a constant, is graphed in the xy-plane. If the line contains the point (c, d), where c \\neq 0 and d \\neq 0, what is the slope of the line in terms of c and d?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"130",
      "B":"225",
      "C":"331",
      "D":"463",
      "E":"563"
    },
    "exam":"source1",
    "id":11691,
    "originalQuestionNumber":7,
    "question":"A bookseller's net profit, in dollars, from the sale of b books is given by \\(P(b) = 2.5b - 100\\). How many books must she sell in order to earn a net profit of $225?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"-1",
      "B":"\\(-\\frac { 1 } { 2 } \\)",
      "C":"0",
      "D":"\\(\\frac { 1 } { 2 } \\)",
      "E":"1"
    },
    "exam":"source2",
    "id":11694,
    "originalQuestionNumber":10,
    "question":"Let \\(\\otimes\\) be defined by \\(a \\otimes b = a + 2b + 4ab\\) for all numbers \\(a\\) and \\(b\\). For what value of \\(x\\) could \\(x \\otimes y = x \\) be true?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"2",
      "B":"4",
      "C":"20",
      "D":"25",
      "E":"100"
    },
    "exam":"source6",
    "id":11695,
    "originalQuestionNumber":2,
    "question":"If \\(3x = 10 - 2x\\), then \\((5x)(5x)\\) =",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"9",
      "B":"17",
      "C":"19",
      "D":"21",
      "E":"31"
    },
    "exam":"source6",
    "id":11696,
    "originalQuestionNumber":20,
    "question":"\\begin { gather* } -7, -5, -3, -1, 0, 1, 3, 5, 7 \\end { gather* } How many distinct products can be obtained by multiplying pairs of numbers from the list above?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"III only",
      "D":"I and III only",
      "E":"I, II, and III"
    },
    "exam":"source2",
    "id":11699,
    "originalQuestionNumber":5,
    "question":"If \\(k(a^2 - b^2) = 0\\), which of the following could be true? I. \\(k = 0\\) II. \\(a = 5\\) and \\(b = 5\\) III. \\(a = -b\\)",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"-1",
      "B":"\\(-\\frac { 1 } { 2 } \\)",
      "C":"0",
      "D":"\\(\\frac { 1 } { 2 } \\)",
      "E":"1"
    },
    "exam":"source5",
    "id":11700,
    "originalQuestionNumber":1,
    "question":"If \\(2x + 4x + 6x = -12\\) ,then \\(x\\) =",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(y = \\frac { 3 } { 5 } x + 4\\)",
      "B":"\\(y = \\frac { 5 } { 3 } x + 4\\)",
      "C":"\\(y = -\\frac { 3 } { 5 } x - 4\\)",
      "D":"\\(y = \\frac { 3 } { 5 } x - 4\\)",
      "E":"\\(y = \\frac { 5 } { 3 } x - 4\\)"
    },
    "exam":"source2",
    "id":11702,
    "originalQuestionNumber":18,
    "question":"In the xy- plane, the equation of line \\(\\ell\\) is \\(y = -\\frac { 3 } { 5 } x + 4\\). If line \\(m\\) is the reflection of line \\(\\ell\\) over the x- axis, what is the equation of line \\(m\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"-5",
      "B":"0",
      "C":"5",
      "D":"7",
      "E":"9"
    },
    "exam":"source2",
    "id":11706,
    "originalQuestionNumber":1,
    "question":"If \\(|t| = 2\\), what is the value of \\((t + 3)(t - 3)\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"diagram79.eps",
      "B":"diagram1415.eps",
      "C":"diagram748.eps",
      "D":"diagram773.eps",
      "E":"diagram164.eps"
    },
    "exam":"source2",
    "id":11707,
    "originalQuestionNumber":7,
    "question":"Which if the following graphs shows a relationship in which \\(y\\) is directly proportional to \\(x\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"5",
      "B":"\\(5\\sqrt { 2 } \\)",
      "C":"10",
      "D":"\\(10\\sqrt { 2 } \\)",
      "E":"20"
    },
    "exam":"source2",
    "id":11709,
    "originalQuestionNumber":1,
    "question":"A certain flag has a length that is 2 times its width. What is the width of a flag that has an area of 100?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"6",
      "B":"27",
      "C":"36",
      "D":"39"
    },
    "exam":"source7",
    "id":11711,
    "originalQuestionNumber":2,
    "question":"If 3r = 18, what is the value of 6r + 3?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(-10\\)",
      "B":"\\(-5\\)",
      "C":"\\(-1\\)",
      "D":"5",
      "E":"10"
    },
    "exam":"source1",
    "id":11713,
    "originalQuestionNumber":6,
    "question":"If \\(5x - x = 2x + x - 5\\), then \\(x =\\)",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"0",
      "B":"1",
      "C":"2",
      "D":"4",
      "E":"It cannot be determined from the information given."
    },
    "exam":"source6",
    "id":11715,
    "originalQuestionNumber":7,
    "question":"If \\(j, k, l, m,\\) and \\(n\\) are consecutive integers and \\(j < k < l < m < n\\), then what is the value of \\((j + n) - (k + m)\\) ?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(\\frac{1}{12}\\)",
      "B":"\\(\\frac{1}{7}\\)",
      "C":"\\(\\frac{2}{7}\\)",
      "D":"\\(\\frac{7}{12}\\)",
      "E":"\\(\\frac{12}{7}\\)"
    },
    "exam":"source1",
    "id":11719,
    "originalQuestionNumber":16,
    "question":"In a certain pet store, every third goldfish has long fins, and every fourth goldfish has a long tail. If a fish is selected at random from a tank of 120 fish, what is the probability that the fish will have long fins and a long tail?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(7d < 8p\\)",
      "B":"\\(8p < 7d\\)",
      "C":"\\(p < d\\)",
      "D":"\\(r = 2p\\)",
      "E":"\\(2r = p\\)"
    },
    "exam":"source1",
    "id":11720,
    "originalQuestionNumber":1,
    "question":"If \\(7d < 4r\\) and \\(4r < 8p\\), which of the following must be true?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"80",
      "B":"100",
      "C":"120",
      "D":"140",
      "E":"160"
    },
    "exam":"source1",
    "id":11723,
    "originalQuestionNumber":11,
    "question":"The measures of the angles of a triangle, in degrees, can be expressed by the ratio 4:5:6. What is the sum of the measures of the largest and smallest angles?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"(3a^2 + 2b^2)^2",
      "B":"(3a + 2b)^4",
      "C":"(9a^2 + 4b^2)^2",
      "D":"(9a + 4b)^4"
    },
    "exam":"source7",
    "id":11724,
    "originalQuestionNumber":4,
    "question":"\\begin{gather} 9a^4 + 12a^{2}b^{2} + 4b^4 \\end{gather} Which of the following is equivalent to the expression shown above?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(-1\\)",
      "B":"0",
      "C":"1",
      "D":"2",
      "E":"3"
    },
    "exam":"source1",
    "id":11725,
    "originalQuestionNumber":3,
    "question":"If \\(a^2 - 16 = b^2\\), and \\(2a = 10\\), which of the following could be a value for b?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(8x^3\\)",
      "B":"\\(27x^3\\)",
      "C":"\\(64x^3\\)",
      "D":"\\(125x^3\\)",
      "E":"\\(150x^3\\)"
    },
    "exam":"source2",
    "id":11726,
    "originalQuestionNumber":2,
    "question":"If the surface area of a cube is \\(150x^2\\), what is the volume of the cube?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"-1",
      "B":"0",
      "C":"1",
      "D":"3",
      "E":"5"
    },
    "exam":"source5",
    "id":11727,
    "originalQuestionNumber":1,
    "question":"If \\(5c + 3 = 3c + 5\\), what is the value of \\(c\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(0.5 pk\\)",
      "B":"\\(0.05 pk\\)",
      "C":"\\(0.005 pk\\)",
      "D":"\\(0.0005 pk\\)",
      "E":"\\(50 pk\\)"
    },
    "exam":"source2",
    "id":11729,
    "originalQuestionNumber":6,
    "question":"What is \\(p\\) percent of \\(\\frac { k } { 2 } \\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\$26",
      "B":"\\$28",
      "C":"\\$16",
      "D":"\\$8",
      "E":"\\$2"
    },
    "exam":"source6",
    "id":11732,
    "originalQuestionNumber":4,
    "question":"If, at a certain clothing store, three pairs of dress socks and four pairs of athletic socks cost a total of \\$27 and four pairs of dress socks and three pairs of athletic socks cost a total of \\$29, what is the combined cost of one pair of dress socks and one pair of athletic socks?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(\\frac{n + 16}{4}\\)",
      "B":"\\(\\frac{n + 4}{4}\\)",
      "C":"\\(\\frac{n + 16}{4n}\\)",
      "D":"\\(\\frac{n + 4}{4n}\\)",
      "E":"\\(\\frac{16 - n}{4}\\)"
    },
    "exam":"source1",
    "id":11733,
    "originalQuestionNumber":20,
    "question":"After the first term, each term in a sequence is 4 greater than \\(\\frac{1}{4}\\) of the preceding term. If n is the first term of the sequence and \\(n \\neq 0\\), what is the ratio of the second term to the first term?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"25\\%",
      "B":"30\\%",
      "C":"35\\%",
      "D":"40\\%",
      "E":"45\\%"
    },
    "exam":"source1",
    "id":11734,
    "originalQuestionNumber":6,
    "question":"If Jorge earns $2,000 a month and spends $600 a month on rent, what percent of Jorge's monthly earnings does he spend on rent?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"0",
      "B":"1",
      "C":"2",
      "D":"Infinitely many"
    },
    "exam":"source7",
    "id":11735,
    "originalQuestionNumber":11,
    "question":"\\begin{gather} x = 2y + 5 \\\\ y = (2x - 3)(x + 9) \\end{gather} How many ordered pairs (x, y) satisfy the system of equations shown above?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"4",
      "B":"16",
      "C":"\\(16 \\sqrt { 2 } \\)",
      "D":"32",
      "E":"64"
    },
    "exam":"source6",
    "id":11736,
    "originalQuestionNumber":2,
    "question":"If \\(|frac { \\sqrt { x } } { 2 } | = 2\\sqrt { 2 } \\), what is the value of \\(x\\) ?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"20",
      "B":"22",
      "C":"24",
      "D":"32",
      "E":"35"
    },
    "exam":"source2",
    "id":11737,
    "originalQuestionNumber":9,
    "question":"The probability of choosing a black marble from a jar containing only black and red marbles is \\(\\frac { 1 } { 4 } \\). Which of the following could be the number of red marbles?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"2",
      "B":"8",
      "C":"80",
      "D":"81",
      "E":"82"
    },
    "exam":"source1",
    "id":11740,
    "originalQuestionNumber":2,
    "question":"If \\(\\sqrt{x} = 3\\), then \\(x^2 - 1 =\\)",
    "sectionLength":18,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"4",
      "B":"5",
      "C":"6",
      "D":"7",
      "E":"8"
    },
    "exam":"source2",
    "id":11744,
    "originalQuestionNumber":7,
    "question":"In a sequence of numbers, the first number is\\( k\\) and each number after the first is 1 more than 2 times the preceding number. If the fourth term is 47, what is the value of \\(k\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"0.01",
      "B":"0.1",
      "C":"1",
      "D":"10",
      "E":"100"
    },
    "exam":"source1",
    "id":11748,
    "originalQuestionNumber":1,
    "question":"If \\((0.0013)x = 0.013\\), then \\(x =\\)",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"2",
      "B":"4",
      "C":"12",
      "D":"24"
    },
    "exam":"source7",
    "id":11750,
    "originalQuestionNumber":3,
    "question":"\\begin{gather} \\frac{x}{y} = 6 \\\\ 4(y + 1) = x \\end{gather} If (x, y) is the solution to the system of equations above, what is the value of y?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"18",
      "B":"17",
      "C":"16",
      "D":"15",
      "E":"14"
    },
    "exam":"source6",
    "id":11752,
    "originalQuestionNumber":19,
    "question":"The length of a line segment with endpoints L and P is a positive integer less than 24. N is the midpoint of \\(\\overline { LP } \\), M is the midpoint of \\(\\overline { LN } \\) and O is the midpoint of \\(\\overline { NP } \\). Which of the following could be the distance between M and P?",
    "sectionLength":20,
    "sectionNumber":5,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(\\frac { b } { a } \\)",
      "B":"\\(a + b\\)",
      "C":"\\(a - b\\)",
      "D":"\\(a\\)",
      "E":"\\(b\\)"
    },
    "exam":"source2",
    "id":11754,
    "originalQuestionNumber":8,
    "question":"If \\(\\frac { a } { b } \\) is an even number, where \\(a\\) and \\(b\\) are integers, which of the following must also be an even number?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(a + 2\\)",
      "B":"\\(a^2\\)",
      "C":"\\(a^3\\)",
      "D":"\\(a^2 - a\\)",
      "E":"\\((a + 2)^2\\)"
    },
    "exam":"source2",
    "id":11757,
    "originalQuestionNumber":4,
    "question":"If \\(a\\) is an odd integer, which of the following is an even integer?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"0",
      "B":"5",
      "C":"11",
      "D":"62",
      "E":"67"
    },
    "exam":"source5",
    "id":11758,
    "originalQuestionNumber":3,
    "question":"If \\(A\\) is the set of positive multiples of 5 less than 200 and \\(B\\) is the set of positive multiples of 7 less than 200, how many numbers are in both set \\(A\\) and set \\(B\\) ?",
    "sectionLength":18,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(4k\\)",
      "B":"\\(2k\\)",
      "C":"\\(k\\)",
      "D":"\\(\\frac { k } { 2 } \\)",
      "E":"\\(\\frac { k } { 4 } \\)"
    },
    "exam":"source2",
    "id":11759,
    "originalQuestionNumber":14,
    "question":"A farmer can plow a field in k days. How many days will it take two farmers working at the same rate to plow afield two times larger?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[

    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(\\frac { 19 } { 50 } \\)",
      "B":"\\(\\frac { 39 } { 100 } \\)",
      "C":"\\(\\frac { 2 } { 5 } \\)",
      "D":"\\(\\frac { 31 } { 50 } \\)",
      "E":"\\(\\frac { 9 } { 10 } \\)"
    },
    "exam":"source6",
    "id":11761,
    "originalQuestionNumber":5,
    "question":"Set A consists of all even integers from 1 to 100, inclusive. If a number is selected at random from set A, what is the probability that the number is less than 40?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"-32",
      "B":"-10",
      "C":"-6",
      "D":"-4",
      "E":"-2"
    },
    "exam":"source6",
    "id":11762,
    "originalQuestionNumber":8,
    "question":"If \\(a < 0\\) and \\((a - 4)^2 = 36\\), what is \\(a\\) ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"5",
      "B":"6",
      "C":"7",
      "D":"8",
      "E":"9"
    },
    "exam":"source1",
    "id":11765,
    "originalQuestionNumber":20,
    "question":"What is the greatest number of pieces that can result from slicing a spherical orange with three straight cuts?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"99",
      "B":"75",
      "C":"39",
      "D":"30",
      "E":"28"
    },
    "exam":"source2",
    "id":11767,
    "originalQuestionNumber":14,
    "question":"If the average (arithmetic mean) of 9 different positive integers is 15 and the median is 20, what is a possible value of the greatest of the 9 integers?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"1",
      "B":"2",
      "C":"3",
      "D":"4",
      "E":"More than 4"
    },
    "exam":"source2",
    "id":11769,
    "originalQuestionNumber":1,
    "question":"If \\(|x| < 5\\) and \\(|x| > 2\\), how many integers satisfy both of the two inequalities?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"1.014",
      "B":"10.14",
      "C":"1,014",
      "D":"10,140",
      "E":"101,400"
    },
    "exam":"source1",
    "id":11771,
    "originalQuestionNumber":6,
    "question":"For all positive integers f and g, let f \\# g be defined as \\(\\frac{f + 2g}{f - 2g}\\). What is the value of 1,007 \\# 3.5?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"50,000(0.1)^{20t}",
      "B":"50,000(0.1)^{\\frac{t}{20}}",
      "C":"50,000(0.9)^{20t}",
      "D":"50,000(0.9)^{\\frac{t}{20}}"
    },
    "exam":"source7",
    "id":11772,
    "originalQuestionNumber":28,
    "question":"In planning maintenance for a city's infrastructure, a civil engineer estimates that, starting from the present, the population of the city will decrease by 10 percent every 20 years. If the present population of the city is 50,000, which of the following expressions represents the engineer's estimate of the population of the city t years from now?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"60",
      "B":"80",
      "C":"100",
      "D":"120",
      "E":"160"
    },
    "exam":"source1",
    "id":11773,
    "originalQuestionNumber":9,
    "question":"In a certain triangle, the measure of the largest angle is 40 degrees more than the measure of the middle-sized angle. If the measure of the smallest angle is 20 degrees, what is the degree measure of the largest angle?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"24",
      "B":"4",
      "C":"\\(\\frac { 5 } { 7 } \\)",
      "D":"-4",
      "E":"-7"
    },
    "exam":"source6",
    "id":11774,
    "originalQuestionNumber":9,
    "question":"If \\(6s - 2t = 10\\) and \\(s - 5t = 14\\), what is the value of \\(5s + 3t\\) ?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"1,680",
      "B":"2,520",
      "C":"2,800",
      "D":"4,075",
      "E":"6,300"
    },
    "exam":"source6",
    "id":11775,
    "originalQuestionNumber":7,
    "question":"A survey of all the students who attend Central Valley High School showed that there was an average (arithmetic mean) of 33.6 students per class room and and average of 22.4 electronic devices brought to class by students per classroom. If 4,200 students attend Central Valley High School, which of the following is the best estimate of the total number of electronic devices in the classrooms of Central Valley?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"5",
      "B":"6",
      "C":"7",
      "D":"8",
      "E":"9"
    },
    "exam":"source2",
    "id":11776,
    "originalQuestionNumber":10,
    "question":"If point \\(M(a,b)\\) is the midpoint of the line segment connecting point \\(A(5,10)\\) and point \\(B(15,4)\\), what is the value of \\(a + b\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(26 - 6b\\)",
      "B":"\\(26 - 600b\\)",
      "C":"\\(6b - 26\\)",
      "D":"\\(26 - \\frac { 6 } { b } \\)",
      "E":"\\(\\frac { 26 - b } { 6 } \\)"
    },
    "exam":"source6",
    "id":11778,
    "originalQuestionNumber":6,
    "question":"Cathy's average rate during the Boston Marathon was 10 minutes a mile for the first \\(b\\) hours where \\(b < 4\\). In terms of \\(b\\), how many more miles does Cathy have to run to complete the 26-mile race?",
    "sectionLength":16,
    "sectionNumber":9,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"Ahmed could have rolled a 5 three times.",
      "B":"Ahmed could have rolled a 2 more frequently than he could have rolled any other numbers.",
      "C":"Ahmed rolled more odd numbers than even numbers.",
      "D":"Ahmed rolled a 3 at least once.",
      "E":"Ahmed rolled a 1 on four rolls."
    },
    "exam":"source1",
    "id":11783,
    "originalQuestionNumber":15,
    "question":"Ahmed rolled an eight-sided polygon six times. Each face of the polygon has a number from 1-8 painted on it. No two numbers are repeated. Each roll yields one number face up. The first roll yields an even number. The second roll yields an odd number. The third roll yields the number 5. The fourth roll yields a number smaller than 4. The fifth roll yields the same number as the fourth roll. The sixth roll yields a number smaller than the fifth roll. Which of the following must be true?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(1\\frac{1}{2}\\)",
      "B":"2",
      "C":"3",
      "D":"4",
      "E":"\\(4\\frac{1}{2}\\)"
    },
    "exam":"source1",
    "id":11786,
    "originalQuestionNumber":12,
    "question":"The average (arithmetic mean) of six numbers is 6. If 3 is subtracted from each of four of the numbers, what is the new average?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"16",
      "B":"14",
      "C":"12",
      "D":"10",
      "E":"8"
    },
    "exam":"source2",
    "id":11788,
    "originalQuestionNumber":8,
    "question":"If \\((p - 1)^2 = 64\\) and \\((q - 1)^2 = 36\\), what is the greatest possible value of \\((p - q)\\)?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(y < 5\\)",
      "B":"\\(y \\geq -5\\)",
      "C":"\\(y < -5\\)",
      "D":"\\(y > 5\\)",
      "E":"All real numbers"
    },
    "exam":"source6",
    "id":11789,
    "originalQuestionNumber":4,
    "question":"\\(f(x) = x^2 - 5\\) If \\(y = f(x)\\), which of the following represents all possible values of y?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"5",
      "B":"6",
      "C":"7",
      "D":"8"
    },
    "exam":"source7",
    "id":11791,
    "originalQuestionNumber":8,
    "question":"\\begin{gather} nA = 360 \\end{gather} The measure A, in degrees, of an exterior angle of a regular polygon is related to the number of sides, n, of the polygon by the formula above. If the measure of an exterior angle of a regular polygon is greater than 50 degrees, what is the greatest number of sides it can have?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"1",
      "B":"2",
      "C":"4",
      "D":"5",
      "E":"6"
    },
    "exam":"source2",
    "id":11792,
    "originalQuestionNumber":19,
    "question":"If a and b are positive integers and \\(a^2 - b^2 = 24\\), which of the following could be the smallest value of \\(a\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"0",
      "B":"1",
      "C":"2",
      "D":"4",
      "E":"More than 4"
    },
    "exam":"source1",
    "id":11796,
    "originalQuestionNumber":19,
    "question":"For all positive integers r and q, where \\(r > q\\), let the operation \\& be defined by \\(r \\& q = \\frac{3^{r + q}}{3^{r - q}}\\). for how many positive integers r is r \\& 1 equal to 9?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"40",
      "B":"160",
      "C":"320",
      "D":"1,280",
      "E":"2,560"
    },
    "exam":"source6",
    "id":11798,
    "originalQuestionNumber":2,
    "question":"A scientist found that the time, in seconds, a mouse required to complete a maze test successfully varied inversely with the number of hours of sleep the mouse had the previous night, such that time = \\(\\frac { 320 } { sleep } \\). If the mouse had 8 hours of sleep the night before a maze test, how long, in seconds, would the mouse take to complete the maze test?",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(\\frac { 1 } { 4 } \\)",
      "B":"\\(\\frac { 1 } { 2 } \\)",
      "C":"\\(\\frac { 2 } { 3 } \\)",
      "D":"\\(\\frac { 3 } { 4 } \\)",
      "E":"\\(\\frac { 4 } { 5 } \\)"
    },
    "exam":"source2",
    "id":11799,
    "originalQuestionNumber":8,
    "question":"If \\(\\frac { m + m } { m \\times m } = 8\\) and \\(m \\neq 0\\), what is the value of \\(m\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(y = -2\\)",
      "B":"\\(x = -2\\)",
      "C":"\\(y = -2x\\)",
      "D":"\\(y = -2x - 2\\)",
      "E":"\\(y = 2x - 2\\)"
    },
    "exam":"source6",
    "id":11800,
    "originalQuestionNumber":11,
    "question":"For any point on line \\(\\ell\\), the product of the x-coordinate and the y-coordinate is less than or equal to zero. Which of the following could be the equation of line \\(\\ell\\) ?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"28",
      "B":"36",
      "C":"48",
      "D":"72",
      "E":"96"
    },
    "exam":"source2",
    "id":11802,
    "originalQuestionNumber":2,
    "question":"\\begin { gather* } A = \\{ n|n = multiple of 3 \\} \\\\ B = \\{ n|n = multiple of 8 \\} \\\\ C = \\{ n|n = not divisible by 16 \\} \\end { gather* }  If n is a member of all of the sets \\(A\\), \\(B\\), and \\(C\\) above, which of the following could be the value of \\(n\\)?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"16",
      "B":"24",
      "C":"32",
      "D":"48",
      "E":"96"
    },
    "exam":"source2",
    "id":11803,
    "originalQuestionNumber":15,
    "question":"\\begin { gather* } a, ar, ar^2, ar^3,...\\end { gather* } In the sequence above, the first term is \\(a\\) and each term after the first is obtained by multiplying the preceding term by \\(r\\). If the third and fifth terms in sequence are 2 and 8, what is the value of the 7th term?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"6",
      "B":"12",
      "C":"54",
      "D":"108",
      "E":"162"
    },
    "exam":"source6",
    "id":11805,
    "originalQuestionNumber":17,
    "question":"For all numbers a and b, let a \\(\\Phi b = a^2b + ab^2\\). What is the value of \\((1 \\Phi 2) \\Phi 3\\)?",
    "sectionLength":20,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"2",
      "B":"3",
      "C":"4",
      "D":"5"
    },
    "exam":"source7",
    "id":11806,
    "originalQuestionNumber":5,
    "question":"\\begin{gather} \\sqrt{2k^2 + 17} - x = 0 \\end{gather} If k > 0 and x = 7 in the equation above, what is the value of k ?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(\\frac{1 + 3\\sqrt{3}}{27}\\)",
      "B":"\\(\\frac{1 + 3\\sqrt{3}}{81}\\)",
      "C":"\\(\\frac{1 + 81\\sqrt{3}}{27}\\)",
      "D":"\\(1 + 27\\sqrt{3}\\)",
      "E":"\\(27 + 81\\sqrt{3}\\)"
    },
    "exam":"source1",
    "id":11809,
    "originalQuestionNumber":13,
    "question":"If \\(f(x) = x^{-3} + x^{\\frac{3}{2}}\\), what is the value of \\(f(3)\\)?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"432",
      "B":"288",
      "C":"240",
      "D":"216",
      "E":"36"
    },
    "exam":"source6",
    "id":11811,
    "originalQuestionNumber":11,
    "question":"A rectangular box is constructed from ten square tiles, each of which has a perimeter of 24 centimeters. If the box is formed so that the tiles do not overlap, what is the volume of the box in cubic centimeters?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"In 2005, the lowest housing cost in the United States was about \\$61 per month.",
      "B":"In 2005, the lowest housing cost in the United States was about 61\\% of the highest housing cost.",
      "C":"In 2005, even in cities with low population densities, housing costs were never below 61\\% of the national average.",
      "D":"In 2005, even in cities with low population densities, housing costs were likely at least 61\\% of the national average."
    },
    "exam":"source7",
    "id":11812,
    "originalQuestionNumber":27,
    "question":"The relative housing cost for a US city is defined to be the ratio \\frac{average housing cost for the city}{national average housing cost}, expressed as a percent. \\{SATSampleTest4-20\\} The scatterplot above shows the relative housing cost and the population density for several large US cities in the year 2005. The line of best fit is also shown and has equation y = 0.0125x + 61. Which of the following best explains how the number 61 in the equation relates to the scatterplot?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(16\\pi\\)",
      "B":"\\(17\\pi\\)",
      "C":"\\(18\\pi\\)",
      "D":"\\(144\\pi\\)",
      "E":"\\(1156\\pi\\)"
    },
    "exam":"source5",
    "id":11813,
    "originalQuestionNumber":4,
    "question":"If A (2, -1) and B (4, 7) are the endpoints of a diameter of a circle, what is the area of the circle?",
    "sectionLength":18,
    "sectionNumber":2,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"5",
      "B":"10",
      "C":"\\(\\frac { 5 } { a } \\)",
      "D":"\\(\\frac { 10 } { a } \\)",
      "E":"\\(\\frac { a } { 10 } \\)"
    },
    "exam":"source2",
    "id":11816,
    "originalQuestionNumber":2,
    "question":"If it takes a people 10 hours to finish a certain task, how many would it take for \\(a^2\\) people to finish the same task?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\$10,000",
      "B":"\\$12,500",
      "C":"\\$20,000",
      "D":"\\$62,500",
      "E":"\\$100,000"
    },
    "exam":"source5",
    "id":11817,
    "originalQuestionNumber":13,
    "question":"The estate of a wealthy man was distributed as follows: 10\\% to his wife, 5\\% divided equally among his three children, 5\\% divided equally among his five grandchildren, and the balance to a charitable trust. If the trust received \\$1,000,000, how much did each grandchild inherit?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"-3",
      "B":"0",
      "C":"2",
      "D":"3",
      "E":"6"
    },
    "exam":"source6",
    "id":11819,
    "originalQuestionNumber":12,
    "question":"If \\(\\frac { z } { 3 } - \\frac { 5 } { 6 } = |\\frac { z } { 3 } - \\frac { 5 } { 6 } |\\), what is the least possible integer value of \\(z\\) ?",
    "sectionLength":16,
    "sectionNumber":9,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"1",
      "B":"2",
      "C":"3",
      "D":"4",
      "E":"5"
    },
    "exam":"source2",
    "id":11821,
    "originalQuestionNumber":1,
    "question":"If A is the set of positive odd integers less than 9, and B is the set of prime numbers, how many integers will be in both sets?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"1",
      "B":"2",
      "C":"3",
      "D":"4",
      "E":"5"
    },
    "exam":"source2",
    "id":11822,
    "originalQuestionNumber":3,
    "question":"If \\(8 \\times a^2x = a^ { 2x + 3 } \\) , what is the value of \\(a\\) ?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"III only",
      "D":"I and III only",
      "E":"II and III only"
    },
    "exam":"source2",
    "id":11825,
    "originalQuestionNumber":16,
    "question":"If \\(\\sqrt { x + p } = \\sqrt { x - q } \\), which of the following could be true? I. \\(p = 0\\) and \\(q = 0\\) II. \\(pq = 0\\) III. \\(p + q = 0\\)",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"4",
      "B":"8",
      "C":"16",
      "D":"20",
      "E":"The answer can not be determined from this information."
    },
    "exam":"source1",
    "id":11826,
    "originalQuestionNumber":15,
    "question":"If \\(3a + 5b - 4c = 12\\) and \\(a + 3b - 2c = -4\\), what is the value of \\(a - b\\)?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"5",
      "B":"10",
      "C":"15",
      "D":"20",
      "E":"25"
    },
    "exam":"source2",
    "id":11827,
    "originalQuestionNumber":4,
    "question":"The average (arithmetic mean) of \\(2a\\) and \\(b\\) is 15 and the average of \\(2a\\),\\(b\\), and \\(3c\\) is 20. What is the value of \\(c\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"A circle with a radius of \\(4\\pi\\)",
      "B":"A circle with a circumference of \\(32\\pi\\)",
      "C":"A circle with a radius of 8",
      "D":"A circle with a diameter of 4",
      "E":"A circle with a circumference of \\(8\\pi\\)"
    },
    "exam":"source6",
    "id":11828,
    "originalQuestionNumber":3,
    "question":"Which of the following has the same area as a circle with an area of \\(16\\pi\\)?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(x + y\\)",
      "B":"\\(x + y + 3b\\)",
      "C":"\\(x + y + 4b\\)",
      "D":"\\(x + y + 5b\\)",
      "E":"\\(x + y + 6b\\)"
    },
    "exam":"source1",
    "id":11829,
    "originalQuestionNumber":16,
    "question":"Set X has \\(x + 2b\\) members, and set Y has \\(y + 3b\\) members. If they have exactly b members in common, how many elements are in the union of X and Y but not in the intersection of X and Y?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(a + b < c\\)",
      "B":"\\(\\frac { a } { c } + \\frac { b } { c } < 0\\)",
      "C":"\\(ac + bc > 0\\)",
      "D":"\\(a + b + c > 0\\)",
      "E":"\\(a + b - c > 0\\)"
    },
    "exam":"source2",
    "id":11832,
    "originalQuestionNumber":1,
    "question":"If \\(a + b < 0\\) and \\(c < 0\\), which of the following must be true?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"One",
      "B":"Two",
      "C":"Three",
      "D":"Four",
      "E":"More than four"
    },
    "exam":"source6",
    "id":11834,
    "originalQuestionNumber":13,
    "question":"For how many ordered pairs of positive integers \\((a, b)\\) is \\(5a + 7b < 20\\) ?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\((5, 0)\\)",
      "B":"\\((4, -4)\\)",
      "C":"\\((3, 4)\\)",
      "D":"\\((-3, 4)\\)",
      "E":"\\((-4, 3)\\)"
    },
    "exam":"source1",
    "id":11835,
    "originalQuestionNumber":18,
    "question":"In the standard x, y-coordinate plane, the center of circle O is the origin. If circle O has an area of \\(25 \\pi\\), each of the following points lies on the circumference of the circle EXCEPT",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"3",
      "B":"2",
      "C":"1",
      "D":"0",
      "E":"-1"
    },
    "exam":"source2",
    "id":11838,
    "originalQuestionNumber":12,
    "question":"If \\(k = (\\frac { 1 } { 64 } )^ { \\frac { 1 } { m } } \\), where \\(k\\) is a positive integer, which of the following could be the value of \\(m\\) ?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"4",
      "B":"3",
      "C":"-1",
      "D":"-4"
    },
    "exam":"source7",
    "id":11842,
    "originalQuestionNumber":9,
    "question":"The graph of a line in the xy-plane has slope 2 and contains the point (1, 8). The graph of a second line passes through the points (1, 2) and (2, 1). If the two lines intersect at the point (a, b), what is the value of a + b?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"1",
      "B":"\\(\\frac { 3 } { 2 } \\)",
      "C":"2",
      "D":"\\(\\frac { 5 } { 2 } \\)",
      "E":"3"
    },
    "exam":"source2",
    "id":11844,
    "originalQuestionNumber":4,
    "question":"If \\(\\frac { a } { b } = 3\\), \\(\\frac { b } { c } = \\frac { 1 } { 2 } \\), and \\(\\frac { c } { d } = \\frac { 2 } { 3 } \\), what is the value of \\(\\frac { 2a } { d } \\) ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(\\frac { w } { t } \\)",
      "B":"\\(\\frac { t } { w } \\)",
      "C":"\\(tw\\)",
      "D":"\\(\\frac { tw } { 2 } \\)",
      "E":"\\(t(t + w)\\)"
    },
    "exam":"source2",
    "id":11846,
    "originalQuestionNumber":14,
    "question":"If \\(\\frac { 1 } { p } + \\frac { 1 } { q } = t\\), and \\(pq = w\\), then \\(p + q = \\)",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"x - 5 is a factor of p(x).",
      "B":"x - 2 is a factor of p(x).",
      "C":"x + 2 is a factor of p(x).",
      "D":"The remainder when p(x) is divided by x - 3 is -2."
    },
    "exam":"source7",
    "id":11847,
    "originalQuestionNumber":29,
    "question":"For a polynomial p(x), the value of p(3) is -2. Which of the following must be true about p(x)?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"3",
      "B":"9",
      "C":"15",
      "D":"21",
      "E":"27"
    },
    "exam":"source1",
    "id":11848,
    "originalQuestionNumber":16,
    "question":"The average (arithmetic mean) of two numbers is equal to twice the positive difference between the two numbers. If the larger number is 35, what is the smaller number?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"150 meters",
      "B":"450 meters",
      "C":"700 meters",
      "D":"1,400 meters"
    },
    "exam":"source7",
    "id":11850,
    "originalQuestionNumber":9,
    "question":"Nate walks 25 meters in 13.7 seconds. If he walks at this same rate, which of the following is closest to the distance he will walk in 4 minutes?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"40",
      "B":"45",
      "C":"60",
      "D":"67.5",
      "E":"75"
    },
    "exam":"source5",
    "id":11851,
    "originalQuestionNumber":19,
    "question":"The distance between Ali's house and college is exactly 135 miles. If she drove \\(\\frac { 2 } { 3 } \\) of the distance in 135 minutes, what was the average speed, in miles per hour?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"April",
      "B":"June",
      "C":"September",
      "D":"November",
      "E":"December"
    },
    "exam":"source5",
    "id":11853,
    "originalQuestionNumber":7,
    "question":"If it is now September, what month will it be 555 months from now?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"None",
      "B":"One",
      "C":"Two",
      "D":"Three",
      "E":"Five"
    },
    "exam":"source6",
    "id":11854,
    "originalQuestionNumber":16,
    "question":"If a is a non-negative integer, and b is a positive multiple of 4, how many possible distinct values of ab are less than 10?",
    "sectionLength":20,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"F = \\frac{RN}{R - 1}",
      "B":"F = \\frac{RN}{1 - R}",
      "C":"F = \\frac{N}{1 - R}",
      "D":"F = \\frac{N}{R - 1}"
    },
    "exam":"source7",
    "id":11856,
    "originalQuestionNumber":12,
    "question":"\\begin{gather} R = \\frac{F}{N + F} \\end{gather} A website uses the formula above to calculate a seller's rating, R, based on the number of favorable reviews, F, and unfavorable reviews, N. Which of the following expresses the number of favorable reviews in terms of the other variables?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"8",
      "B":"0",
      "C":"-1",
      "D":"-8"
    },
    "exam":"source7",
    "id":11857,
    "originalQuestionNumber":10,
    "question":"\\begin{gather} g(x) = ax^2 + 24 \\end{gather} For the function g defined above, a is a constant and g(4) = 8. What is the value of g(-4)?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"4.5",
      "B":"18",
      "C":"22",
      "D":"48",
      "E":"72"
    },
    "exam":"source1",
    "id":11858,
    "originalQuestionNumber":6,
    "question":"The perimeter of square A is 4 times the perimeter of square B. If the perimeter of square B is given to be 18, then what is the length of a single side of square A?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"3",
      "B":"4",
      "C":"5",
      "D":"7",
      "E":"9"
    },
    "exam":"source2",
    "id":11859,
    "originalQuestionNumber":13,
    "question":"\\(x^2 + (k +1)x + 4 = (x + h)^2\\) In the equation above, \\(k\\) and \\(h\\) are positive constants. If the equation is true for all values of \\(x\\), what is the value of \\(k + h\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"-1",
      "B":"5",
      "C":"8",
      "D":"9"
    },
    "exam":"source7",
    "id":11860,
    "originalQuestionNumber":6,
    "question":"When 4 times the number x is added to 12, the result is 8. What number results when 2 times x is added to 7?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(9a^5 b^9\\)",
      "B":"\\(-9a^5 b^9\\)",
      "C":"\\(9a^6 b^{18}\\)",
      "D":"\\(27a^6 b^{18}\\)",
      "E":"\\(-27a^6 b^{18}\\)"
    },
    "exam":"source1",
    "id":11862,
    "originalQuestionNumber":10,
    "question":"\\((-3a^2 b^6)^3 =\\)",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"3",
      "B":"2",
      "C":"0",
      "D":"-3",
      "E":"-4"
    },
    "exam":"source6",
    "id":11864,
    "originalQuestionNumber":6,
    "question":"If \\(7 + x < 5 \\)and \\(3 + x < 0\\), which of the following could be the value of \\(x\\) ?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"9\\%",
      "B":"9.9\\%",
      "C":"10\\%",
      "D":"99\\%",
      "E":"100\\%"
    },
    "exam":"source5",
    "id":11865,
    "originalQuestionNumber":11,
    "question":"10\\% more than 10\\% less than \\(x\\) is what percent of \\(10x\\)?",
    "sectionLength":16,
    "sectionNumber":9,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"0.002d + 0.09s",
      "B":"0.002d - 0.09s",
      "C":"0.09d + 0.002s",
      "D":"0.09d - 0.002s"
    },
    "exam":"source7",
    "id":11866,
    "originalQuestionNumber":1,
    "question":"A musician has a new song available for downloading or streaming. The musician earns \\$0.09 each time the song is downloaded and \\$0.002 each time the song is streamed. Which of the following expressions represents the amount, in dollars, that the musician earns if the song is downloaded d times and streamed s times?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"38",
      "B":"37",
      "C":"25",
      "D":"20",
      "E":"18"
    },
    "exam":"source2",
    "id":11867,
    "originalQuestionNumber":11,
    "question":"In how many integers from 1 to 200 does the digit 9 appear at least once?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"1",
      "B":"3",
      "C":"27",
      "D":"30",
      "E":"36"
    },
    "exam":"source1",
    "id":11868,
    "originalQuestionNumber":15,
    "question":"When the sum of the odd integers from 5 to 27, inclusive, is subtracted from the sum of the even integers from 8 to 30, inclusive, the result is",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"3",
      "B":"4",
      "C":"5",
      "D":"6",
      "E":"8"
    },
    "exam":"source2",
    "id":11869,
    "originalQuestionNumber":3,
    "question":"A bag contains two white marbles, four blue marbles, and an unknown number of black marbles. When one marble is drawn from the bag at random, the probability that the marble is black will be \\(\\frac { 1 } { 3 } \\). How many black marbles are in the bag?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"0",
      "B":"\\(\\frac { 1 } { 6 } \\)",
      "C":"\\(\\frac { 1 } { 3 } \\)",
      "D":"\\(\\frac { 1 } { 2 } \\)",
      "E":"1"
    },
    "exam":"source6",
    "id":11872,
    "originalQuestionNumber":16,
    "question":"The members of set A are the single digit prime numbers. Two numbers are selected at random from set A. What is the probability that the sum of the two selected numbers is even?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"Two",
      "B":"Five",
      "C":"Seven",
      "D":"Eight",
      "E":"Ten"
    },
    "exam":"source6",
    "id":11873,
    "originalQuestionNumber":3,
    "question":"Set A consists of all even numbers between 10 and 20, inclusive. Set B consists of all multiples of 3 between 7 and 19, inclusive. If set C consists of all the numbers that appear both in set A and set B, how many members does set C have?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"3 and 3",
      "B":"3 and 5",
      "C":"7 and 8",
      "D":"7 and 3",
      "E":"7 and 12"
    },
    "exam":"source1",
    "id":11875,
    "originalQuestionNumber":6,
    "question":"If the length of one side of a triangle is 5, which of the following CANNOT be the lengths of the other two sides of the triangle?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"10",
      "B":"12",
      "C":"24",
      "D":"25",
      "E":"30"
    },
    "exam":"source5",
    "id":11880,
    "originalQuestionNumber":10,
    "question":"There are 12 men on a basketball team, and in a game 5 of them play at any one time. If the game is 1 hour long, and if each man plays exactly the same amount of time, how many minutes does each man play?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"III only",
      "D":"I and II only",
      "E":"I, II and III"
    },
    "exam":"source2",
    "id":11882,
    "originalQuestionNumber":16,
    "question":"If \\(p\\) and \\(q\\) are positive numbers and \\(\\frac { p } { q } < pq\\), which of the following must be true? I. \\(p > 1\\) II. \\(q > 1\\) III. \\(p > q\\)",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"20",
      "B":"40",
      "C":"60",
      "D":"80",
      "E":"100"
    },
    "exam":"source2",
    "id":11883,
    "originalQuestionNumber":2,
    "question":"\\begin { gather* } 4, 8, 12, 16, ...\\end { gather* } The first term in the sequence is 4, and each term after the first is determined by adding 4. What is the value of the 20th term?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"30",
      "B":"40",
      "C":"50",
      "D":"60",
      "E":"70"
    },
    "exam":"source6",
    "id":11884,
    "originalQuestionNumber":1,
    "question":"If one angle in a right triangle is \\(20\\degree\\), which of the following is the degree measure of another angle in the triangle?",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(2pn\\)",
      "B":"\\(3.5pn\\)",
      "C":"\\(3.5(n + p)\\)",
      "D":"\\(3n + 0.50p\\)",
      "E":"\\(2(n + 0.50p)\\)"
    },
    "exam":"source1",
    "id":11885,
    "originalQuestionNumber":1,
    "question":"If pencils cost $0.50 each and notebooks cost $3 each, which of the following represents the cost, in dollars, of p pencils and n notebooks?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"0",
      "B":"4",
      "C":"8",
      "D":"16"
    },
    "exam":"source7",
    "id":11886,
    "originalQuestionNumber":26,
    "question":"In the xy-plane, the line determined by the points (2, k) and (k, 32) passes through the origin. Which of the following could be the value of k?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(9a^3b^6\\)",
      "B":"\\(9a^6b^9\\)",
      "C":"\\(27a^3b^6\\)",
      "D":"\\(27a^6b^9\\)",
      "E":"\\(27a^8b^27\\)"
    },
    "exam":"source5",
    "id":11888,
    "originalQuestionNumber":6,
    "question":"\\((3a^2b^3)^3\\) =",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"1",
      "B":"2",
      "C":"3",
      "D":"4"
    },
    "exam":"source7",
    "id":11891,
    "originalQuestionNumber":1,
    "question":"The monthly membership fee for an online television and movie service is \\$9.80. The cost of viewing television shows online is included in the membership fee, but there is an additional fee of \\$1.50 to rent each movie online. For one month, Jill's membership and movie rental fees were \\$12.80. How many movies did Jill rent online that month?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"12",
      "B":"120",
      "C":"144",
      "D":"1,200",
      "E":"1,440"
    },
    "exam":"source6",
    "id":11894,
    "originalQuestionNumber":6,
    "question":"If \\(10 + \\sqrt { x } - 154\\), then \\(10\\sqrt { x } \\) =",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"12",
      "B":"16",
      "C":"20",
      "D":"25",
      "E":"32"
    },
    "exam":"source1",
    "id":11895,
    "originalQuestionNumber":17,
    "question":"A box of crayons contains only red, green, and blue crayons. The probability of randomly selecting a red crayon from the box is \\(\\frac{2}{5}\\) and the probability of randomly selecting a blue crayon is \\(\\frac{1}{4}\\). Which of the following could be the total number of crayons in the box?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"9",
      "B":"12",
      "C":"26",
      "D":"45",
      "E":"63"
    },
    "exam":"source1",
    "id":11899,
    "originalQuestionNumber":5,
    "question":"Tameka cleans her house every 7 days and does laundry every 5 days. In the next 315 days, how many times will she have to clean her house and do laundry on the same day?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(\\frac { 12 } { 35 } \\)",
      "B":"\\(\\frac { 5 } { 7 } \\)",
      "C":"\\(\\frac { 10 } { 7 } \\)",
      "D":"\\(\\frac { 7 } { 5 } \\)",
      "E":"\\(\\frac { 35 } { 12 } \\)"
    },
    "exam":"source5",
    "id":11900,
    "originalQuestionNumber":16,
    "question":"If \\(a\\), \\(b\\), and \\(c\\) are positive numbers such that \\(3a = 4b = 5c\\), and if \\(a + b = kc\\), what is the value of \\(k\\)?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(\\frac { 1 } { 4 } \\)",
      "B":"1",
      "C":"4",
      "D":"8",
      "E":"16"
    },
    "exam":"source5",
    "id":11901,
    "originalQuestionNumber":3,
    "question":"What positive number n satisfies the equation \\((16)(16)(16)n = \\frac { (64)(64) } { n } \\)?",
    "sectionLength":18,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"4",
      "B":"5",
      "C":"6",
      "D":"7",
      "E":"8"
    },
    "exam":"source5",
    "id":11902,
    "originalQuestionNumber":8,
    "question":"The members of the French Club conducted a fund-raising drive. The average (arithmetic mean) amount of money raised per member was \\$85. Then Jean joined the club and raised \\$50. This lowered the average to \\$80. How many members were there before Jean joined?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"III only",
      "D":"II and III only",
      "E":"I, II and III only"
    },
    "exam":"source2",
    "id":11904,
    "originalQuestionNumber":13,
    "question":"If \\(x > 1\\), which of the following increases as \\(x\\) increases? I. \\(\\frac { 1 } { x } \\) II. \\(\\frac { x-1 } { x } \\) III. \\(\\frac { 1 } { x^2 } \\)",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"13",
      "B":"15",
      "C":"17",
      "D":"85",
      "E":"115"
    },
    "exam":"source6",
    "id":11905,
    "originalQuestionNumber":8,
    "question":"If the price of a certain product is increased by 15 percent, by approximately what percent must the new price be reduced to obtain the original price?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(-7\\)",
      "B":"\\(-3\\)",
      "C":"0",
      "D":"4",
      "E":"14"
    },
    "exam":"source1",
    "id":11906,
    "originalQuestionNumber":1,
    "question":"If \\(x^2 - 49 = 0\\), which of the following could be a value of x?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"6",
      "B":"9",
      "C":"16.2",
      "D":"18",
      "E":"27"
    },
    "exam":"source6",
    "id":11908,
    "originalQuestionNumber":5,
    "question":"Peter's income is directly proportional to the amount of time he works. If he earns \\$27.00 for every 90 minutes of work, how many hours must he work to earn \\$162.00 ?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(-9\\)",
      "B":"\\(-\\sqrt[3]{9}\\)",
      "C":"\\(\\sqrt[3]{9}\\)",
      "D":"3",
      "E":"9"
    },
    "exam":"source1",
    "id":11910,
    "originalQuestionNumber":2,
    "question":"If \\(-a^3 + b^2 = -a^3 + 9\\), then b could equal which of the following?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"120",
      "B":"10",
      "C":"\\(\\frac{2}{5}\\)",
      "D":"\\(\\frac{1}{6}\\)",
      "E":"\\(\\frac{1}{12}\\)"
    },
    "exam":"source1",
    "id":11911,
    "originalQuestionNumber":1,
    "question":"If an object travels at 5 feet per minute, how many feet does it travel in 2 seconds?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"diagram991.png",
      "B":"diagram1201.png",
      "C":"diagram66.png",
      "D":"diagram63.png",
      "E":"diagram334.png"
    },
    "exam":"source1",
    "id":11913,
    "originalQuestionNumber":6,
    "question":"Which of the following tables shows a relationship in which a is inversely proportional to b ?",
    "sectionLength":18,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(11 \\frac{1}{2}\\)",
      "B":"12",
      "C":"\\(12 \\frac{1}{2}\\)",
      "D":"13",
      "E":"14"
    },
    "exam":"source1",
    "id":11915,
    "originalQuestionNumber":12,
    "question":"If the sum of 4 numbers is between 53 and 57, then the average (arithmetic mean) of the 4 numbers could be which of the following?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"5",
      "B":"3",
      "C":"2",
      "D":"1"
    },
    "exam":"source7",
    "id":11918,
    "originalQuestionNumber":19,
    "question":"If 3p - 2 \\geq 1, what is the least possible value of 3p + 2?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"3",
      "B":"5",
      "C":"7",
      "D":"8",
      "E":"12"
    },
    "exam":"source1",
    "id":11919,
    "originalQuestionNumber":10,
    "question":"A coffee shop sold 35 cups of coffee. Of these, 15 contained sugar and 12 contained milk. If 13 cups contained neither milk nor sugar, how many cups must have contained both sugar and milk?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(2\\pi\\)",
      "B":"\\(6\\pi\\)",
      "C":"\\(10\\pi\\)",
      "D":"\\(25\\pi\\)",
      "E":"\\(26\\pi\\)"
    },
    "exam":"source5",
    "id":11921,
    "originalQuestionNumber":4,
    "question":"What is the area of the circle whose center is at O (2, -2) and that passes through point P (3, 3)?",
    "sectionLength":18,
    "sectionNumber":7,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(0 < y < x\\)",
      "B":"\\(0 < y < 2x\\)",
      "C":"\\(2 < y < x\\)",
      "D":"\\(4 < y < x\\)",
      "E":"\\(4 < y < 2x\\)"
    },
    "exam":"source1",
    "id":11924,
    "originalQuestionNumber":20,
    "question":"The lengths of two sides of a triangle are \\((x - 2)\\) and \\((x + 2)\\), where \\(x > 2\\). Which of the following ranges includes all and only the possible values of the third side y?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"2.4",
      "B":"14",
      "C":"15",
      "D":"20",
      "E":"60"
    },
    "exam":"source5",
    "id":11926,
    "originalQuestionNumber":1,
    "question":"If \\(3x = 12\\), \\(5x =\\)",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(4(3 - y)\\)",
      "B":"\\(3(4 - y)\\)",
      "C":"\\(3(y - 4)\\)",
      "D":"\\(4 - 3y\\)",
      "E":"\\(3y - 4\\)"
    },
    "exam":"source6",
    "id":11927,
    "originalQuestionNumber":1,
    "question":"If 3 times y is decreased by 4, then which of the following must be true?",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"III only",
      "D":"I and II only",
      "E":"I, II, and III only"
    },
    "exam":"source2",
    "id":11928,
    "originalQuestionNumber":12,
    "question":"If \\(x^2 + y^2 = (x - y)^2\\), which of the following statements must also be true? I. \\(x = 0\\) II. \\(y = 0\\) III. \\(xy = 0\\)",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(\\frac{t - r}{6}\\)",
      "B":"\\(6t - r\\)",
      "C":"\\(6t - 6r\\)",
      "D":"\\(12(t - r)\\)",
      "E":"36tr"
    },
    "exam":"source1",
    "id":11930,
    "originalQuestionNumber":13,
    "question":"Let the function f be defined by \\(f(t) = 6t\\) for all numbers t. Which of the following is equivalent to \\(f(t - r)\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"0",
      "B":"1",
      "C":"2",
      "D":"3",
      "E":"4"
    },
    "exam":"source1",
    "id":11932,
    "originalQuestionNumber":13,
    "question":"If \\(2^{2x - 3} = 8\\), then what is the value of x?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(\\frac { m } { 50d } \\)",
      "B":"\\(\\frac { md } { 50 } \\)",
      "C":"\\(\\frac { md } { 2 } \\)",
      "D":"\\(\\frac { m } { 2d } \\)",
      "E":"\\(\\frac { 2m } { d } \\)"
    },
    "exam":"source5",
    "id":11935,
    "originalQuestionNumber":5,
    "question":"At Music Outlet the regular price for a CD is \\(d\\) dollars. How many CDs can be purchased for m dollars when the CDs are on sale at 50\\% off the regular price?",
    "sectionLength":18,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"12",
      "B":"14",
      "C":"30",
      "D":"33",
      "E":"35"
    },
    "exam":"source1",
    "id":11938,
    "originalQuestionNumber":20,
    "question":"The least integer of a set of consecutive even integers is \\(-30\\). If the sum of these integers is 66, how many integers are in the set?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(\\frac{15}{2}\\)",
      "B":"\\(\\frac{75}{2}\\)",
      "C":"32",
      "D":"38",
      "E":"40"
    },
    "exam":"source1",
    "id":11940,
    "originalQuestionNumber":11,
    "question":"If y is directly proportional to x and if \\(y = 30\\) when \\(x = 6\\), what is the value of y when \\(x = 8\\)?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"-12",
      "B":"\\(-9 \\frac { 1 } { 3 } \\)",
      "C":"6",
      "D":"\\(9 \\frac { 1 } { 3 } \\)",
      "E":"12"
    },
    "exam":"source6",
    "id":11942,
    "originalQuestionNumber":12,
    "question":"If \\((x + y)(x - y) + (4 - y)(2 - y) = 0\\), then what is the value of \\(y\\) when \\(x\\) equals 8 ?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"14",
      "B":"7",
      "C":"4",
      "D":"-3",
      "E":"-6"
    },
    "exam":"source6",
    "id":11943,
    "originalQuestionNumber":17,
    "question":"If \\(x - y = 10\\) and \\(x^2 - y^2 = 40\\), then y =",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"-1",
      "B":"-2",
      "C":"-3",
      "D":"-5"
    },
    "exam":"source7",
    "id":11944,
    "originalQuestionNumber":11,
    "question":"Which of the following numbers is NOT a solution of the inequality 3x - 5 \\geq 4x - 3?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"743",
      "B":"750",
      "C":"753",
      "D":"758",
      "E":"773"
    },
    "exam":"source6",
    "id":11946,
    "originalQuestionNumber":16,
    "question":"If in a certain sequence the first term is 8 and every subsequent term is determined by adding 15 to the previous term, what is the value of the 50th term?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(a + b\\)",
      "B":"\\(a - b\\)",
      "C":"\\(a + b + 1\\)",
      "D":"ab",
      "E":"\\(ab + 3\\)"
    },
    "exam":"source1",
    "id":11950,
    "originalQuestionNumber":5,
    "question":"If a and b are multiples of 3, which of the following CANNOT also be a multiple of 3?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"20\\%",
      "B":"50\\%",
      "C":"100\\%",
      "D":"200\\%",
      "E":"500\\%"
    },
    "exam":"source5",
    "id":11951,
    "originalQuestionNumber":11,
    "question":"Max purchased some shares of stock at \\$10 per share. Six months later the stock was worth \\$20 per share. What was the percent increase in the value of Max' s investment?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(10 \\sqrt { 2 } \\)",
      "B":"25",
      "C":"50",
      "D":"\\(50 \\sqrt { 2 } \\)",
      "E":"100"
    },
    "exam":"source6",
    "id":11952,
    "originalQuestionNumber":2,
    "question":"In \\(\\triangle { ABC } \\), \\(\\overline { AB } = \\overline { BC } \\) and \\(\\overline { AB } \\perp \\overline { BC } \\). If \\(\\overline { BC } = 10\\), what is the area of the triangle?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"diagram588.eps",
      "B":"diagram384.eps",
      "C":"diagram1442.eps",
      "D":"diagram18.eps",
      "E":"diagram463.eps"
    },
    "exam":"source6",
    "id":11955,
    "originalQuestionNumber":16,
    "question":"Which of the following graphs shows the line defined by the equation \\(\\frac { 5 } { 3 } y - 5 = x\\) in the xy coordinate system?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"210",
      "B":"390",
      "C":"490",
      "D":"810",
      "E":"990"
    },
    "exam":"source5",
    "id":11957,
    "originalQuestionNumber":12,
    "question":"If \\(f(x) = x^2 - 3x\\) and \\(g(x) = f(3x)\\), what is \\(g(-10)\\)?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"7 minutes and 10 minutes",
      "B":"10 minutes and 18 minutes",
      "C":"15 minutes and 18 minutes",
      "D":"22 minutes and 25 minutes",
      "E":"22 minutes and 28 minutes"
    },
    "exam":"source1",
    "id":11965,
    "originalQuestionNumber":2,
    "question":"A certain pie is made by baking the crust for 7 to 10 minutes, adding the filling, and baking the entire pie for another 15 to 18 minutes. What are the minimum and maximum total baking times for this pie?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(\\frac { c } { 100 } \\)",
      "B":"\\(\\frac { 100c } { 3 } \\)",
      "C":"\\(\\frac { 9 } { c } \\)",
      "D":"3",
      "E":"\\(\\frac { 300 } { c } \\)"
    },
    "exam":"source6",
    "id":11967,
    "originalQuestionNumber":9,
    "question":"If \\(c\\) is positive, what percent of \\(3c\\) is 9 ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"18",
      "B":"20",
      "C":"21",
      "D":"22",
      "E":"30"
    },
    "exam":"source2",
    "id":11970,
    "originalQuestionNumber":5,
    "question":"If seven different lines lie in a plane, what is the greatest possible number of intersections?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(-7\\)",
      "B":"\\(-4\\)",
      "C":"\\(-\\frac{1}{2}\\)",
      "D":"4",
      "E":"7"
    },
    "exam":"source1",
    "id":11971,
    "originalQuestionNumber":10,
    "question":"If 5 more than 3 times a certain number is 3 less than the number, what is the number?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"25.3",
      "B":"45.6",
      "C":"57",
      "D":"85.5",
      "E":"114"
    },
    "exam":"source1",
    "id":11981,
    "originalQuestionNumber":6,
    "question":"If 50 percent of 40 percent of a number is 22.8, what is the number?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"x \\leq 6",
      "B":"x \\geq 6",
      "C":"x \\leq 7.3",
      "D":"x \\geq 7.3"
    },
    "exam":"source7",
    "id":11982,
    "originalQuestionNumber":16,
    "question":"Mr. Martinson is building a concrete patio in his backyard and deciding where to buy the materials and rent the tools needed for the project. The table below shows the materials' cost and daily rental costs for three different stores. \\{SATSampleTest4-12\\} The total cost, y, for buying the materials and renting the tools in terms of the number of days, x, is given by y = M + (W + K)x. For what number of days, x, will the total cost of buying the materials and renting the tools from Store B be less than or equal to the total cost of buying the materials and renting the tools from Store A?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"4",
      "B":"8",
      "C":"16",
      "D":"\\(a + 4\\)",
      "E":"\\(2a\\)"
    },
    "exam":"source6",
    "id":11983,
    "originalQuestionNumber":5,
    "question":"\\begin { gather* } 8 - a, 8, 8 + a \\end { gather* } What is the average (arithmetic mean) of the numbers in the list above?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"8",
      "B":"14",
      "C":"16",
      "D":"18"
    },
    "exam":"source7",
    "id":11985,
    "originalQuestionNumber":7,
    "question":"If \\frac{x^{{a}^{2}}}{x^{{b}^{2}}} = x^{16}, x > 1, and a + b = 2, what is the value of a - b?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"3",
      "B":"2",
      "C":"1",
      "D":"-1",
      "E":"-2"
    },
    "exam":"source2",
    "id":11988,
    "originalQuestionNumber":9,
    "question":"If \\(x^2 = 9\\), what is the value of \\(\\frac { 4 } { x + 1 } - \\frac { 4 } { x - 1 } \\) ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(16\\frac{2}{3}\\%\\)",
      "B":"20\\%",
      "C":"\\(33\\frac{1}{3}\\%\\)",
      "D":"40\\%",
      "E":"60\\%"
    },
    "exam":"source1",
    "id":11989,
    "originalQuestionNumber":4,
    "question":"\\(\\frac{1}{3}\\) of 60 is equal to what percent of 50?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"III only",
      "D":"II and III only",
      "E":"I, II, and III"
    },
    "exam":"source5",
    "id":11990,
    "originalQuestionNumber":6,
    "question":"If m is an integer and m, m + 1, and m + 2 are the lengths of the sides of a triangle, which of the following could be the value of m? I. 1 II. 10 III. 100",
    "sectionLength":16,
    "sectionNumber":9,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(\\frac { 3 } { 2 } m\\)",
      "B":"\\(3m\\)",
      "C":"\\(4m\\)",
      "D":"\\(\\frac { 9 } { 2 } m\\)",
      "E":"\\(6m\\)"
    },
    "exam":"source6",
    "id":11994,
    "originalQuestionNumber":2,
    "question":"The midpoint of segment \\(\\overline { PQ } \\) is F , and the length of \\(\\overline { FQ } \\) is \\(3m\\). What is the length of \\(\\overline { PQ } \\) in terms of \\( m\\) ?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"None",
      "B":"One",
      "C":"Two",
      "D":"Three",
      "E":"Four"
    },
    "exam":"source6",
    "id":11995,
    "originalQuestionNumber":5,
    "question":"If \\(x\\) and \\(y\\) are integers, how many distinct ordered pairs \\((x,y)\\) satisfy the equation \\(2x + 4y = 17\\) ?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"4",
      "B":"6",
      "C":"8",
      "D":"12",
      "E":"64"
    },
    "exam":"source6",
    "id":11997,
    "originalQuestionNumber":8,
    "question":"A rectangular solid that has a width of 8, a length of 8, and a height of 12 is divided into 12 cubes, each of equal volume. What is the length of the edge of one of these cubes?",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(c^5\\)",
      "B":"\\(c^4 + c^9\\)",
      "C":"\\(c^4 + c^6\\)",
      "D":"\\(c^3 + c^4\\)",
      "E":"\\(c^2 + c^3\\)"
    },
    "exam":"source6",
    "id":11999,
    "originalQuestionNumber":11,
    "question":"\\(a = b^2 + b^3\\) In the equation above, \\(b = c^2\\) for any integer \\(c\\). What is \\(a\\) in terms of \\(c\\) ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(2 \\times 5 \\times 6\\)",
      "B":"\\(3 \\times 4 \\times 6\\)",
      "C":"\\(3 \\times 5 \\times 6\\)",
      "D":"\\(4 \\times 5 \\times 6\\)",
      "E":"\\(5 \\times 6 \\times 12\\)"
    },
    "exam":"source1",
    "id":12000,
    "originalQuestionNumber":9,
    "question":"A rectangular box is 24 inches long, 10 inches wide, and 15 inches high. If exactly 60 smaller identical rectangular boxes can be stored perfectly in this larger box, which of the following could be the dimensions, in inches, of these smaller boxes?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"7",
      "B":"8",
      "C":"9",
      "D":"10",
      "E":"11"
    },
    "exam":"source6",
    "id":12003,
    "originalQuestionNumber":1,
    "question":"If \\(y + 4 = 13\\), then \\(y - 2\\) =",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"2",
      "B":"3",
      "C":"5",
      "D":"7",
      "E":"211"
    },
    "exam":"source1",
    "id":12004,
    "originalQuestionNumber":13,
    "question":"The sum of two consecutive positive integers is never divisible by",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"(3, 3)",
      "B":"(6, 6)",
      "C":"(-1, 5)",
      "D":"(-1, 10)",
      "E":"(-3, 9)"
    },
    "exam":"source5",
    "id":12006,
    "originalQuestionNumber":4,
    "question":"\\(A\\) (5, 1) lies on a circle whose center is \\(O\\) (1, 5). If \\(AB\\) is a diameter, what are the coordinates of \\(B\\) ?",
    "sectionLength":18,
    "sectionNumber":2,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"4",
      "B":"5",
      "C":"6",
      "D":"12",
      "E":"15"
    },
    "exam":"source2",
    "id":12009,
    "originalQuestionNumber":5,
    "question":"If \\((k - a)x + k = 5\\) for all values of \\(x\\), where \\(a\\) and \\(k\\) are constants, which of the following is equal to \\(a\\)?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\$375",
      "B":"\\$385",
      "C":"\\$395",
      "D":"\\$405",
      "E":"\\$415"
    },
    "exam":"source1",
    "id":12012,
    "originalQuestionNumber":2,
    "question":"A car rental agency charges $40 per day for the first 7 days, and $35 a day for each day after that. How much would Joe be charged if he rented a car for 10 days?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"2",
      "B":"9",
      "C":"12",
      "D":"18",
      "E":"24"
    },
    "exam":"source6",
    "id":12013,
    "originalQuestionNumber":3,
    "question":"If \\(x = y + 2\\) and y = 4, then \\(\\frac { 3 } { 2 } x\\) =",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"y - 8 = x^2 - 6x",
      "B":"y + 1 = (x - 3)^2",
      "C":"y = x(x - 6) + 8",
      "D":"y = (x - 2)(x - 4)"
    },
    "exam":"source7",
    "id":12015,
    "originalQuestionNumber":7,
    "question":"\\begin{gather} y = x^2 - 6x + 8 \\end{gather} The equation above represents a parabola in the xy-plane. Which of the following equivalent forms of the equation displays the x-intercepts of the parabola as constants or coefficients?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(a^2 + 8a + 23\\)",
      "B":"\\(a^2 - 8a + 23\\)",
      "C":"\\(9a^2 - 108a + 144\\)",
      "D":"\\(9a^2 - 108a + 148\\)",
      "E":"\\(9a^2 + 108a + 148\\)"
    },
    "exam":"source1",
    "id":12017,
    "originalQuestionNumber":19,
    "question":"If \\(a = 3n + 4\\) and \\(b = 7 + 9n^2\\), what is b in terms of a?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"|x - 1| - 1",
      "B":"|x + 1| + 1",
      "C":"|1 - x| + 1",
      "D":"|x - 1| + 1"
    },
    "exam":"source7",
    "id":12018,
    "originalQuestionNumber":1,
    "question":"Which of the following expressions is equal to 0 for some value of x?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"3",
      "B":"4",
      "C":"5",
      "D":"6",
      "E":"8"
    },
    "exam":"source1",
    "id":12019,
    "originalQuestionNumber":11,
    "question":"Lines m and n are parallel. If lines m and n are cut by three different transversals, what is the least number of points of intersection that can occur among the five lines?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"250",
      "B":"350",
      "C":"450",
      "D":"1,350"
    },
    "exam":"source7",
    "id":12021,
    "originalQuestionNumber":19,
    "question":"Graphene, which is used in the manufacture of integrated circuits, is so thin that a sheet weighing one ounce can cover up to 7 football fields. If a football field has an area of approximately 1 \\frac{1}{3} acres, about how many acres could 48 ounces of graphene cover?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"8",
      "B":"9",
      "C":"15",
      "D":"17",
      "E":"19"
    },
    "exam":"source6",
    "id":12025,
    "originalQuestionNumber":10,
    "question":"\\(a^3 \\times a^6 = a^c\\) \\(\\frac { (b^5)^d } { b^d } = b^40\\) In the equations above, \\(a > 1\\) and \\(b > 1\\). What is the sum of \\(c\\) and \\(d\\)?",
    "sectionLength":16,
    "sectionNumber":9,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(\\frac { ps } { 100 } \\)",
      "B":"\\(\\frac { 100s } { p } \\)",
      "C":"\\(\\frac { p(1 + s) } { 300 } \\)",
      "D":"\\(\\frac { p (100 + s) } { 300 } \\)",
      "E":"\\(\\frac { s(100 + p) } { 300 } \\)"
    },
    "exam":"source2",
    "id":12026,
    "originalQuestionNumber":8,
    "question":"The price of a certain item is \\(\\frac { p } { 3 } \\) dollars. A sales tax of \\(s\\) percent is added to the price to obtain the final cost. If \\(p\\) is a positive integer, what is the final cost, in dollars?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"Kathy will complete the repairs within 108 days.",
      "B":"Kathy starts each week with 108 phones to fix.",
      "C":"Kathy repairs phones at a rate of 108 per hour.",
      "D":"Kathy repairs phones at a rate of 108 per day."
    },
    "exam":"source7",
    "id":12028,
    "originalQuestionNumber":4,
    "question":"Kathy is a repair technician for a phone company. Each week, she receives a batch of phones that need repairs. The number of phones that she has left to fix at the end of each day can be estimated with the equation P = 108 - 23d, where P is the number of phones left and d is the number of days she has worked that week. What is the meaning of the value 108 in this equation?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"a = -2, b = 2",
      "B":"a = -2, b = 4",
      "C":"a = 2, b = 4",
      "D":"a = 4, b = 3"
    },
    "exam":"source7",
    "id":12030,
    "originalQuestionNumber":29,
    "question":"\\begin{gather} y = 3 \\\\ y = ax^2 + b \\end{gather} In the system of equations above, a and b are constants. For which of the following values of a and b does the system of equations have exactly two real solutions?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\frac{1}{4}",
      "B":"\\frac{1}{16}",
      "C":"\\frac{1}{64}",
      "D":"\\frac{1}{256}"
    },
    "exam":"source7",
    "id":12031,
    "originalQuestionNumber":23,
    "question":"\\begin{gather} I = \\frac{P}{4\\pi r^2} \\end{gather} At a large distance r from a radio antenna, the intensity of the radio signal I is related to the power of the signal P by the formula above. For the same signal emitted by a radio antenna, Observer A measures its intensity to be 16 times the intensity measured by Observer B. The distance of Observer A from the radio antenna is what fraction of the distance of Observer B from the radio antenna?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"3",
      "B":"5",
      "C":"7",
      "D":"14",
      "E":"28"
    },
    "exam":"source2",
    "id":12034,
    "originalQuestionNumber":1,
    "question":"If \\(\\frac { 2k } { 2k + 13 } = \\frac { 14 } { 27 } \\), then \\(k\\) =",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"2x",
      "B":"4x",
      "C":"6x",
      "D":"7x",
      "E":"8x"
    },
    "exam":"source6",
    "id":12035,
    "originalQuestionNumber":15,
    "question":"Right triangle A has base b, height h, and area x. Rectangle B has length 2b and width 2h. What is the area of rectangle B in terms of x ?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(8a < 10c\\)",
      "B":"\\(10c < 8a\\)",
      "C":"\\(c < a\\)",
      "D":"\\(8a = 10c\\)",
      "E":"\\(8a + 1 = 10c\\)"
    },
    "exam":"source1",
    "id":12039,
    "originalQuestionNumber":1,
    "question":"If \\(8a < 3b\\) and \\(3b < 10c\\), which of the following is true?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"6",
      "B":"8",
      "C":"10",
      "D":"12",
      "E":"14"
    },
    "exam":"source2",
    "id":12040,
    "originalQuestionNumber":6,
    "question":"\\(a\\) and \\(b\\) are different positive integers and \\(a\\) is greater than \\(b\\). If \\(a^2 - b^2 = 7\\) , what is the value of \\(ab\\) ?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"(5,3)",
      "B":"(3,5)",
      "C":"(3,10)",
      "D":"(10,3)",
      "E":"(6,10)"
    },
    "exam":"source6",
    "id":12041,
    "originalQuestionNumber":9,
    "question":"Points E and F lie in the xy-coordinate plane at (0,10) and (6,0), respectively. Which of the following is the midpoint of \\(\\overline { EF } \\) ?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"31",
      "B":"14",
      "C":"-2",
      "D":"-14",
      "E":"-31"
    },
    "exam":"source6",
    "id":12043,
    "originalQuestionNumber":14,
    "question":"In a sequence of numbers, the first term is 6. Each term after the first is calculated by adding 2 to the previous term and then dividing by -1. What is the value of the 101st term subtracted from the 70th term?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"8",
      "B":"12",
      "C":"16",
      "D":"20",
      "E":"24"
    },
    "exam":"source6",
    "id":12045,
    "originalQuestionNumber":2,
    "question":"Points Q, R, and S lie on \\(\\overline { XZ } \\) in such a way that Q is the midpoint of \\(\\overline { XZ } \\), R is the midpoint of \\(\\overline { XQ } \\) and S is the mid point of \\(\\overline { QZ } \\). If QS = 4, what is length of RZ?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"III only",
      "D":"I and II only",
      "E":"I, II, and III"
    },
    "exam":"source2",
    "id":12046,
    "originalQuestionNumber":16,
    "question":"If \\(|p| > 10 \\), which of the following must be true? I. \\(p > 10\\) II. \\(p^2 > 10\\) III. \\(p^3 > 10\\)",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"0",
      "B":"3",
      "C":"4",
      "D":"7",
      "E":"12"
    },
    "exam":"source1",
    "id":12048,
    "originalQuestionNumber":4,
    "question":"If \\(r(b) = \\frac{(b^2 - 7)}{(b + 7)}\\), what is the value of \\(r(7)\\)?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"8",
      "B":"9",
      "C":"10",
      "D":"12",
      "E":"13"
    },
    "exam":"source2",
    "id":12050,
    "originalQuestionNumber":16,
    "question":"Let \\(FI(x)\\) be defined as the sum of the digits of the positive integer \\(x\\). For example, \\(FI(7) = 7\\) and \\(FI(123) = 6\\). For how many two-digit values of \\(x\\) does \\(FI(FI(x)) = 2\\) ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"0",
      "B":"4",
      "C":"12",
      "D":"16",
      "E":"24"
    },
    "exam":"source1",
    "id":12051,
    "originalQuestionNumber":7,
    "question":"If \\(x^2 - 4x - 12 = 0\\), what is the value of \\(2x^2 - 8x\\)?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"4",
      "B":"5",
      "C":"10",
      "D":"20",
      "E":"25"
    },
    "exam":"source5",
    "id":12052,
    "originalQuestionNumber":1,
    "question":"What is the length of each of the five equal sides of a regular pentagon if the perimeter of the pentagon is equal to the perimeter of a square whose area is 25?",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"48",
      "B":"44",
      "C":"36",
      "D":"24",
      "E":"20"
    },
    "exam":"source6",
    "id":12053,
    "originalQuestionNumber":10,
    "question":"A bag of candy contains chocolate hearts, vanilla hearts and gumballs. The number of pieces of heart-shaped candy is 5 times the number of gumballs. If one piece of candy is to be chosen at random from the bag, the probability that a vanilla heart is chosen is 4 times the probability that a chocolate heart will be chosen. If there are 16 vanilla hearts in the bagm what is the total number of pieces of candy in the bag?",
    "sectionLength":14,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"30",
      "B":"35",
      "C":"40",
      "D":"45",
      "E":"60"
    },
    "exam":"source1",
    "id":12056,
    "originalQuestionNumber":10,
    "question":"If 20 percent of 30 percent of a positive number is equal to 15 percent of h percent of the same number, what is the value of h?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(5n\\)",
      "B":"\\(5 + n\\)",
      "C":"\\(n - 5\\)",
      "D":"\\(n^5\\)",
      "E":"\\(5^n\\)"
    },
    "exam":"source6",
    "id":12057,
    "originalQuestionNumber":1,
    "question":"If a store sells n newspapers on each of 5 days, which of the following represents the total number of newspapers sold?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"1984",
      "B":"1985",
      "C":"1986",
      "D":"1987",
      "E":"1988"
    },
    "exam":"source5",
    "id":12060,
    "originalQuestionNumber":4,
    "question":"From 1980 to 1990, the value of a share of stock of XYZ Corporation doubled every year. If in 1990 a share of the stock was worth \\$80, in what year was it worth \\$10?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"-8",
      "B":"-6",
      "C":"-4",
      "D":"-2",
      "E":"2"
    },
    "exam":"source6",
    "id":12062,
    "originalQuestionNumber":5,
    "question":"Which of the following is NOT a possible value of \\(2 - x\\), if \\(x\\) is a one-digit integer?",
    "sectionLength":18,
    "sectionNumber":6,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"25",
      "B":"86",
      "C":"101",
      "D":"324"
    },
    "exam":"source7",
    "id":12064,
    "originalQuestionNumber":10,
    "question":"The chart above shows approximations of the acceleration due to gravity in meters per second squared (\\frac{m}{sec^2}) for the eight planets in our solar system. The weight of an object on a given planet can be found by using the formula W = mg, where W is the weight of the object measured in newtons, m is the mass of the object measured in kilograms, and g is the acceleration due to gravity on the planet measured in \\frac{m}{sec^2}. What is the weight, in newtons, of an object on Mercury with a mass of 90 kilograms?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"124",
      "B":"126",
      "C":"128",
      "D":"130",
      "E":"132"
    },
    "exam":"source2",
    "id":12066,
    "originalQuestionNumber":6,
    "question":"A fisherman takes his boat out to sea at an average speed of 18 miles per hour and then back to the harbor along the same route at an average speed of 14 miles per hour. If his entire trips lasts 8 hour, what is the total number of miles in the round trip?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(\\frac { 1 } { 12 } \\)",
      "B":"\\(\\frac { 1 } { 4 } \\)",
      "C":"\\(\\frac { 1 } { 3 } \\)",
      "D":"3",
      "E":"4"
    },
    "exam":"source5",
    "id":12068,
    "originalQuestionNumber":1,
    "question":"If \\(\\frac { 1 } { a } + \\frac { 1 } { a } + \\frac { 1 } { a } = 12\\), then \\(a\\) =",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(k + 2\\)",
      "B":"\\(k + 3\\)",
      "C":"\\(k + 5\\)",
      "D":"\\(2k + 2\\)",
      "E":"\\(2k + 6\\)"
    },
    "exam":"source2",
    "id":12069,
    "originalQuestionNumber":12,
    "question":"Twice the sum of two consecutive integers is \\(k\\) less than five times the smaller integer, where \\(k\\) is a positive integer. What is the larger integer, in terms of \\(k\\) ?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"none",
      "B":"I only",
      "C":"II only",
      "D":"III only",
      "E":"II and III only"
    },
    "exam":"source1",
    "id":12071,
    "originalQuestionNumber":17,
    "question":"If a and b are positive integers and the ratio of \\(a + 2\\) to \\(b + 2\\) is the same as the ratio of \\(a + 4\\) to \\(b + 4\\), which of the following must be true? I. \\(a = b\\) II. \\(a = 2\\) III. \\(b = 2a\\)",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(g > 8\\)",
      "B":"\\(g > 2\\)",
      "C":"\\(g < 2\\)",
      "D":"\\(g < 8\\)",
      "E":"None of the above"
    },
    "exam":"source1",
    "id":12073,
    "originalQuestionNumber":14,
    "question":"If \\(g^{\\frac{2}{3}} > 4\\), which of the following must be true?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"3",
      "B":"33",
      "C":"39",
      "D":"69",
      "E":"75"
    },
    "exam":"source6",
    "id":12075,
    "originalQuestionNumber":1,
    "question":"If \\(\\sqrt { x +3 } + 3 = 9\\), then x =",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(\\frac{ab}{100}\\)",
      "B":"\\(\\frac{ab}{50}\\)",
      "C":"ab",
      "D":"50ab",
      "E":"100ab"
    },
    "exam":"source1",
    "id":12077,
    "originalQuestionNumber":15,
    "question":"If a and b are positive integers, what is a percent of b percent of 200?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"15",
      "B":"14",
      "C":"9",
      "D":"6",
      "E":"3"
    },
    "exam":"source2",
    "id":12078,
    "originalQuestionNumber":15,
    "question":"If \\(3^k + 3^k + 3^k = (27)^5\\), what is the value of \\(k\\) ?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(n \\geq 3(140)\\)",
      "B":"\\(3(140) + n \\leq 450\\)",
      "C":"\\(3(140) + n \\geq 450\\)",
      "D":"\\(3(140) - n \\leq 450\\)",
      "E":"\\(3(140) - n \\geq 450\\)"
    },
    "exam":"source6",
    "id":12082,
    "originalQuestionNumber":7,
    "question":"Albert's diet allows him to consume no more than 450 calories for breakfast. He decides to have 3 mini-muffins, which each contain 140 calories, and a drink. If n represents the number of calories that his drink can contain, which of the following inequalities could be used to find all possible values for n?",
    "sectionLength":20,
    "sectionNumber":5,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"16",
      "B":"14",
      "C":"12",
      "D":"4",
      "E":"2"
    },
    "exam":"source1",
    "id":12085,
    "originalQuestionNumber":8,
    "question":"If x and y are different positive integers and \\(3x + y = 17\\), the difference between the largest possible value of y and the smallest possible value of y is",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(\\frac { \\sqrt { d } } { 10p } \\)",
      "B":"\\(\\frac { \\sqrt { 10p } } { d } \\)",
      "C":"\\(\\frac { \\sqrt { dp } } { 10 } \\)",
      "D":"\\(\\frac { \\sqrt { p } } { 10d } \\)",
      "E":"\\(\\frac { \\sqrt { 10d } } { p } \\)"
    },
    "exam":"source5",
    "id":12087,
    "originalQuestionNumber":16,
    "question":"The value of 10 pounds of gold is \\(d\\) dollars and a pound of gold has the same value as \\(p\\) pounds of silver. what is the value in dollars, of one pound of silver?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"The average of the prices",
      "B":"The number of prices",
      "C":"Half of the number of prices",
      "D":"The sum of the prices",
      "E":"Half of the sum of the prices"
    },
    "exam":"source1",
    "id":12088,
    "originalQuestionNumber":15,
    "question":"When the average (arithmetic mean) of a list of prices is multiplied by the number of prices, the result is n. What does n represent?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"None",
      "B":"I only",
      "C":"II only",
      "D":"I and II only",
      "E":"II and III only"
    },
    "exam":"source2",
    "id":12089,
    "originalQuestionNumber":7,
    "question":"If all four sides of a quadrilateral \\(P\\) have the same lengths, which of the following statements must be true? I. All angles of \\(P\\) are equal. II. The diagonals of \\(P\\) are perpendicular III. The lengths of diagonals of \\(P\\) are equal",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"None of the employees in the accounting department are married.",
      "B":"Some of the employees in the accounting department are married.",
      "C":"Some of the employees in the accounting department are unmarried.",
      "D":"More employees are on the bowling team than work in the accounting department.",
      "E":"More employees work in the accounting department than are on the bowling team."
    },
    "exam":"source1",
    "id":12090,
    "originalQuestionNumber":15,
    "question":"At a certain company, some employees in the accounting department are also on the company bowling team, and none of the employees on the company bowling team are married. Which of the following statements must also be true?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"129",
      "B":"34",
      "C":"24",
      "D":"12",
      "E":"10"
    },
    "exam":"source2",
    "id":12094,
    "originalQuestionNumber":12,
    "question":"If \\(4\\sqrt { 8 } = n\\sqrt { n } \\), and if \\(n\\) and \\(m\\) are positive integers, which of the following cannot be the value of \\(m + n\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"-4",
      "B":"-2",
      "C":"2",
      "D":"4",
      "E":"6"
    },
    "exam":"source2",
    "id":12095,
    "originalQuestionNumber":1,
    "question":"If \\(a = 16 - b\\) and \\(\\frac { b } { 6 } = 3\\), what is the value of \\(a\\)?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"1:25",
      "B":"1:35",
      "C":"2:15",
      "D":"3:15",
      "E":"11:15"
    },
    "exam":"source5",
    "id":12097,
    "originalQuestionNumber":6,
    "question":"If it is now 1:15, what time will it be when the hour hand has moved through an angle of \\(10\\degree\\)?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"15",
      "B":"50",
      "C":"75",
      "D":"120",
      "E":"150"
    },
    "exam":"source2",
    "id":12099,
    "originalQuestionNumber":4,
    "question":"If \\(0.1k\\) percent of \\(n\\) is 5, what is \\(3k\\) percent of \\(n\\) ?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(6b^2 - 48b + 96\\)",
      "B":"\\(6b^2 - 57b + 132\\)",
      "C":"\\(6b^2 - 57b + 144\\)",
      "D":"\\(6b^2 - 9b - 132\\)",
      "E":"\\(6b^2 - 9b + 144\\)"
    },
    "exam":"source1",
    "id":12100,
    "originalQuestionNumber":15,
    "question":"If \\(a = 3(2c^2 + 3c + 4)\\) and \\(b = -c + 4\\), what is a in terms of b?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"Sample size",
      "B":"Population size",
      "C":"The number of people who refused to respond",
      "D":"Where the survey was given"
    },
    "exam":"source7",
    "id":12102,
    "originalQuestionNumber":13,
    "question":"A researcher conducted a survey to determine whether people in a certain large town prefer watching sports on television to attending the sporting event. The researcher asked 117 people who visited a local restaurant on a Saturday, and 7 people refused to respond. Which of the following factors makes it least likely that a reliable conclusion can be drawn about the sports-watching preferences of all people in the town?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(k^2 < 3\\)",
      "B":"\\(k^2 > 3\\)",
      "C":"\\(|k| > 3\\)",
      "D":"\\(k^2 > 9\\)",
      "E":"\\(k^2 < 9\\)"
    },
    "exam":"source2",
    "id":12103,
    "originalQuestionNumber":15,
    "question":"If \\(-3 < k < 3\\), which of the following must be true?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(a = 0\\) and \\(b = 0\\)",
      "B":"\\(a + b = 0\\)",
      "C":"\\(ab = 0\\)",
      "D":"\\(ab \\neq 0\\)",
      "E":"\\(a^2 - b^2 = 0\\)"
    },
    "exam":"source2",
    "id":12104,
    "originalQuestionNumber":3,
    "question":"If \\(\\sqrt { a^2 + b^2 } = a + b\\), which of the following must be true?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"12",
      "B":"15",
      "C":"20",
      "D":"22"
    },
    "exam":"source7",
    "id":12105,
    "originalQuestionNumber":27,
    "question":"A rectangle was altered by increasing its length by 10 percent and decreasing its width by p percent. If these alterations decreased the area of the rectangle by 12 percent, what is the value of p?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(\\frac { 1 } { 12 } \\)",
      "B":"\\(\\frac { 1 } { 8 } \\)",
      "C":"\\(\\frac { 1 } { 7 } \\)",
      "D":"\\(\\frac { 1 } { 6 } \\)",
      "E":"\\(\\frac { 1 } { 4 } \\)"
    },
    "exam":"source2",
    "id":12106,
    "originalQuestionNumber":12,
    "question":"Cathy can do a job in 8 hours while Danny can do the same job in 6 hours. If Cathy and Danny work three hours, what fraction of the job is left to be finished?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"2",
      "B":"3",
      "C":"4",
      "D":"5",
      "E":"6"
    },
    "exam":"source2",
    "id":12107,
    "originalQuestionNumber":4,
    "question":"If \\(8^n * 4^2 = 2^10\\), what is the value of \\(n\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"2",
      "B":"4",
      "C":"8",
      "D":"10",
      "E":"16"
    },
    "exam":"source1",
    "id":12109,
    "originalQuestionNumber":3,
    "question":"If \\(\\frac{a}{b} = 8\\) and \\(\\frac{a}{c} = 4\\), then what does c equal if \\(b = 2\\)?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"2^{12}",
      "B":"4^4",
      "C":"8^2",
      "D":"The value cannot be determined from the information given."
    },
    "exam":"source7",
    "id":12110,
    "originalQuestionNumber":14,
    "question":"If 3x - y = 12, what is the value of \\frac{8^x}{x^y}?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\frac{2x + 5}{x^2 + 5x + 6}",
      "B":"\\frac{x^2 + 5x + 6}{2x + 5}",
      "C":"2x + 5",
      "D":"x^2 + 5x + 6"
    },
    "exam":"source7",
    "id":12112,
    "originalQuestionNumber":13,
    "question":"If x > 3, which of the following is equivalent to \\frac{1}{\\frac{1}{x + 2} + \\frac{1}{x + 3}}?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(-3\\)",
      "B":"3",
      "C":"5",
      "D":"9",
      "E":"12"
    },
    "exam":"source1",
    "id":12116,
    "originalQuestionNumber":2,
    "question":"If \\(5a - b = 9\\) and \\(3a + b = 15\\), then \\(a + b =\\)",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(\\frac{1}{7}\\)",
      "B":"\\(\\frac{2}{7}\\)",
      "C":"1",
      "D":"\\(\\frac{7}{3}\\)",
      "E":"7"
    },
    "exam":"source1",
    "id":12117,
    "originalQuestionNumber":1,
    "question":"If \\(\\frac{3}{x} + x = 7 + \\frac{3}{7}\\), then x can equal which of the following?",
    "sectionLength":18,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(x^2 = y\\)",
      "B":"\\(xy = y\\)",
      "C":"\\(x = \\frac{y}{x}\\)",
      "D":"\\(x^3 = y^2\\)",
      "E":"\\(x^4 = y^2\\)"
    },
    "exam":"source1",
    "id":12118,
    "originalQuestionNumber":8,
    "question":"If \\(x^2 + y = 0\\), which of the following must be true?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(1.2p\\)",
      "B":"\\(1.2kp\\)",
      "C":"\\(\\frac { 1.2k } { p } \\)",
      "D":"\\(\\frac { 1.2p } { k } \\)",
      "E":"\\(\\frac { 120p } { k } \\)"
    },
    "exam":"source2",
    "id":12121,
    "originalQuestionNumber":2,
    "question":"The cost of k pieces of candy is \\$1.20. At this rate, what is the cost in dollars of p pieces of this candy?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(11 \\frac{1}{2}\\)",
      "B":"12",
      "C":"\\(12 \\frac{1}{2}\\)",
      "D":"13",
      "E":"14"
    },
    "exam":"source1",
    "id":12122,
    "originalQuestionNumber":10,
    "question":"If the sum of four numbers is between 53 and 57, then the average (arithmetic mean) of the four numbers could be which of the following?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(-12\\)",
      "B":"0",
      "C":"6",
      "D":"12",
      "E":"36"
    },
    "exam":"source1",
    "id":12123,
    "originalQuestionNumber":12,
    "question":"If \\(x = -3\\) and \\(y = 9\\), what is the value of \\(|\\sqrt[3]{xy} - y|\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"13",
      "B":"14",
      "C":"15",
      "D":"16",
      "E":"17"
    },
    "exam":"source1",
    "id":12125,
    "originalQuestionNumber":2,
    "question":"If \\(x^2 = k\\), where x and k are integers, which of the following could be the value of k?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\$10.00",
      "B":"\\$24.00",
      "C":"\\$25.00",
      "D":"\\$29.80",
      "E":"\\$36.00"
    },
    "exam":"source6",
    "id":12126,
    "originalQuestionNumber":4,
    "question":"The cost of a meal including a 20 percent tip is \\$30. What was the cost of the meal before the tip was added?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(\\frac{1}{3}\\)",
      "B":"6",
      "C":"9",
      "D":"12",
      "E":"81"
    },
    "exam":"source1",
    "id":12128,
    "originalQuestionNumber":1,
    "question":"If \\(x^{\\frac{1}{2}} = 3\\), then what is the value of \\(x^2\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\((-a)^3 + b - c^2 = a\\)",
      "B":"\\(\\frac{3}{4}a^2 + \\frac{b}{c} = a\\)",
      "C":"\\(\\frac{3a^3}{4} + \\frac{b}{c^2} = a\\)",
      "D":"\\(\\frac{3}{4}a^3 + \\frac{b}{c} = a\\)",
      "E":"\\(\\frac{3}{4}a^3 + bc^2 = a\\)"
    },
    "exam":"source1",
    "id":12130,
    "originalQuestionNumber":1,
    "question":"Which of the following is the equivalent of the statement that three-fourths of the cube of a plus b divided by the square of c equals a ?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"3",
      "B":"6",
      "C":"9",
      "D":"12",
      "E":"24"
    },
    "exam":"source6",
    "id":12133,
    "originalQuestionNumber":3,
    "question":"Points P, Q, R, S, and T lie on a line in that order. If PR = 6 and PQ = QR = RS = ST, then PT =",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\((p - q)^3\\)",
      "B":"\\((pq)^3\\)",
      "C":"\\((\\frac { p } { q } )^3\\)",
      "D":"\\(p - 3q\\)",
      "E":"\\(p - q^3\\)"
    },
    "exam":"source6",
    "id":12135,
    "originalQuestionNumber":7,
    "question":"\\(p = y^8\\) \\(q = y^5\\) If the above statements are true and \\(y > 1\\), which of the following is equal to \\(y^9\\)?",
    "sectionLength":18,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"2",
      "B":"3",
      "C":"4",
      "D":"5",
      "E":"6"
    },
    "exam":"source1",
    "id":12136,
    "originalQuestionNumber":16,
    "question":"How many integers are there that are greater than 30, less than 40, and have exactly two factors (excluding the number itself and 1), that are both prime?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"1",
      "B":"2",
      "C":"3",
      "D":"4",
      "E":"5"
    },
    "exam":"source6",
    "id":12139,
    "originalQuestionNumber":17,
    "question":"Shawn creates a meal by mixing the pastas, sauces, and toppings in his kitchen. Each meal he creates consists of one type of pasta, one sauce, and one type of topping. If Shawn can make exactly 30 different meals, which of the following could NOT be the number of sauces that Shawn has?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"Lisa cooks dinner on Tuesday.",
      "B":"Michael works on Saturday.",
      "C":"Neither Lisa nor Michael cooks dinner on Tuesday.",
      "D":"Neither Lisa nor Michael worked last Saturday.",
      "E":"Both Lisa and Michael cook dinner on Tuesday."
    },
    "exam":"source6",
    "id":12142,
    "originalQuestionNumber":13,
    "question":"Lisa sometimes works on Saturday. Michael always cooks dinner on Tuesday. If both statements above are true, which of the following statements CANNOT be true?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"-9a",
      "B":"-8a",
      "C":"-5a",
      "D":"-2a"
    },
    "exam":"source7",
    "id":12143,
    "originalQuestionNumber":12,
    "question":"\\begin{gather} y = a(x - 2)(x + 4) \\end{gather} In the quadratic equation above, a is a nonzero constant. The graph of the equation in the xy-plane is a parabola with vertex (c, d). Which of the following is equal to d?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"0",
      "B":"1",
      "C":"\\(a\\)",
      "D":"\\(a^2 - a\\)",
      "E":"\\(a^2 - a + 1\\)"
    },
    "exam":"source5",
    "id":12148,
    "originalQuestionNumber":3,
    "question":"\\(\\lbrace[(a \\times a) + a] \\div a\\rbrace - a=\\)",
    "sectionLength":16,
    "sectionNumber":9,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(\\frac { 26d } { 9 } \\)",
      "B":"\\(\\frac { 25d } { 9 } \\)",
      "C":"\\(\\frac { 8d } { 3 } \\)",
      "D":"\\(\\frac { 23d } { 9 } \\)",
      "E":"\\(\\frac { 22d } { 9 } \\)"
    },
    "exam":"source6",
    "id":12149,
    "originalQuestionNumber":19,
    "question":"If \\(a = 2b = 3c = 4d \\) and \\(abcd \\neq 0\\), what is the average (arithmetic mean) of \\(a\\), \\(b\\), and \\(c\\) in terms of \\(d\\) ?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"10",
      "B":"11",
      "C":"15",
      "D":"19",
      "E":"27"
    },
    "exam":"source6",
    "id":12153,
    "originalQuestionNumber":1,
    "question":"What number increased by 4 is equal to 19 decreased by 4 ?",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"32",
      "B":"36",
      "C":"45",
      "D":"48",
      "E":"54"
    },
    "exam":"source6",
    "id":12155,
    "originalQuestionNumber":10,
    "question":"On her biology test, Cathy answered \\(\\frac { 5 } { 6 } \\) of the questions correctly. 6 correctly. If Cathy answered 18 of the first 27 questions correctly, then the total number of questions on the test must be at 1east",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"12",
      "B":"13",
      "C":"14",
      "D":"15",
      "E":"16"
    },
    "exam":"source1",
    "id":12156,
    "originalQuestionNumber":10,
    "question":"If d is a positive odd integer, then (d - 1)(d - 2) could equal which of the following?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(r + x\\)",
      "B":"\\(r + \\frac{x}{3}\\)",
      "C":"\\(r + \\frac{2x}{3}\\)",
      "D":"\\(\\frac{r + x}{3}\\)",
      "E":"\\(3(r + x)\\)"
    },
    "exam":"source1",
    "id":12158,
    "originalQuestionNumber":14,
    "question":"\\begin{gather*} r, s, t \\end{gather*} In the sequence above, if each term after the first is x more than the previous term, what is the average of r, s, and t in terms of r and x?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"2",
      "B":"3",
      "C":"5",
      "D":"6"
    },
    "exam":"source7",
    "id":12160,
    "originalQuestionNumber":10,
    "question":"A function f satisfies f(2) = 3 and f(3) = 5. A function g satisfies g(3) = 2 and g(5) = 6. What is the value of f(g(3))?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"0.2x + 0.2",
      "B":"0.5x + 0.1",
      "C":"1.2x + 0.6",
      "D":"2.4x + 1.2"
    },
    "exam":"source7",
    "id":12161,
    "originalQuestionNumber":12,
    "question":"Ken and Paul each ordered a sandwich at a restaurant. The price of Ken's sandwich was x dollars, and the price of Paul's sandwich was \\$1 more than the price of Ken's sandwich. If Ken and Paul split the cost of the sandwiches evenly and each paid a 20\\% tip, which of the following expressions  represents the amount, in dollars, each of them paid? (Assume there is no sales tax.)",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"6",
      "B":"8",
      "C":"10",
      "D":"20",
      "E":"35"
    },
    "exam":"source1",
    "id":12163,
    "originalQuestionNumber":6,
    "question":"If a rectangle of perimeter 12 has a width that is 2 less than its length, what is its area?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"-6",
      "B":"-4",
      "C":"-2",
      "D":"2",
      "E":"8"
    },
    "exam":"source2",
    "id":12164,
    "originalQuestionNumber":2,
    "question":"If \\((x - 2)^2 = 16\\), which of the following could be a value of \\(x\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"10",
      "B":"12",
      "C":"14",
      "D":"15",
      "E":"16"
    },
    "exam":"source5",
    "id":12166,
    "originalQuestionNumber":9,
    "question":"A woman takes a horse out of a stable and rides it 3 miles north, 8 miles east, and then 3 miles north again to her house. How far is it, in miles, from the stable to her house?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"5",
      "B":"9",
      "C":"10",
      "D":"15",
      "E":"20"
    },
    "exam":"source1",
    "id":12169,
    "originalQuestionNumber":16,
    "question":"If the lengths of two sides of a triangle are 9 and 15, which of the following CANNOT be the length of the third side?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(y = x - 8\\)",
      "B":"\\(y = x - 3\\)",
      "C":"\\(y = x - 2\\)",
      "D":"\\(y = x + 3\\)",
      "E":"\\(y = x + 5\\)"
    },
    "exam":"source6",
    "id":12170,
    "originalQuestionNumber":3,
    "question":"On the xy-coordinate plane, moving the graph of \\(y = x - 5\\) three units upward would result in the graph of which of the following functions?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(2a + 10\\)",
      "B":"\\(2a - 10\\)",
      "C":"\\(2(a - 10)\\)",
      "D":"\\(\\frac { 10 + a } { 2 } \\)",
      "E":"\\(\\frac { 10 - a } { 2 } \\)"
    },
    "exam":"source5",
    "id":12171,
    "originalQuestionNumber":5,
    "question":"The average (arithmetic mean) of two numbers is \\(a\\). If one of the numbers is 10, what is the other?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(10(5 - d) + c\\)",
      "B":"\\(10(5 + d) - c\\)",
      "C":"\\(5cd\\)",
      "D":"\\(-\\frac { 2d } { 5c - 2 } \\)",
      "E":"\\(\\frac { 2d } { 5c - 2 } \\)"
    },
    "exam":"source6",
    "id":12172,
    "originalQuestionNumber":7,
    "question":"Both \\(c\\) and \\(d\\) are positive numbers. If \\(\\frac { x - d } { cx } = \\frac { 5 } { 2 } \\), what is the value of \\(x\\) in terms of \\(c\\) and \\(d\\) ?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(\\frac { 1 } { 5 } \\)",
      "B":"\\(\\frac { 2 } { 9 } \\)",
      "C":"\\(\\frac { 1 } { 3 } \\)",
      "D":"\\(\\frac { 2 } { 3 } \\)",
      "E":"\\(\\frac { 7 } { 9 } \\)"
    },
    "exam":"source5",
    "id":12173,
    "originalQuestionNumber":7,
    "question":"A number, \\(x\\), is chosen at random from the set of positive integers less than 10. What is the probability that \\(\\frac { 9 } { x } > x\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"-5",
      "B":"-2",
      "C":"1",
      "D":"7"
    },
    "exam":"source7",
    "id":12174,
    "originalQuestionNumber":2,
    "question":"\\begin{gather} f(x) = \\frac{3}{2}x + b \\end{gather} In the function above, b is a constant. If f(6) = 7, what is the value of f(-2)?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(3k\\)",
      "B":"\\(2k\\)",
      "C":"\\(k\\)",
      "D":"\\(\\frac { k } { 2 } \\)",
      "E":"\\(\\frac { k } { 4 } \\)"
    },
    "exam":"source2",
    "id":12176,
    "originalQuestionNumber":3,
    "question":"If \\(2a + 4b = \\sqrt { k } \\), then \\((a + 2b)\\sqrt { k } \\) =",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"1",
      "B":"2",
      "C":"3",
      "D":"4",
      "E":"It cannot be determined from the information given"
    },
    "exam":"source5",
    "id":12177,
    "originalQuestionNumber":8,
    "question":"If \\(\\frac { a + 3 } { 3 } \\) is an integer, what is the remainder when \\(a\\) is divided by 5 ?",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(6m - 6\\)",
      "B":"\\(2m - 4\\)",
      "C":"\\(m - 6\\)",
      "D":"\\(m - 5\\)",
      "E":"\\(m - 4\\)"
    },
    "exam":"source2",
    "id":12178,
    "originalQuestionNumber":4,
    "question":"If the average (arithmetic mean) of six consecutive odd integers is \\(m\\), which of the following is the expression for the smallest odd integer?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(\\frac{1}{10}\\)",
      "B":"\\(\\frac{1}{5}\\)",
      "C":"\\(\\frac{1}{4}\\)",
      "D":"\\(\\frac{4}{5}\\)",
      "E":"\\(\\frac{4}{8}\\)"
    },
    "exam":"source1",
    "id":12179,
    "originalQuestionNumber":8,
    "question":"In a recent survey, 80 percent of the people polled were registered voters, and 75 percent of the registered voters voted in the last election. What fraction of all those surveyed were registered voters who did not vote in the last election?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(a + 1\\)",
      "B":"\\(a + 2\\)",
      "C":"\\(2a + 1\\)",
      "D":"\\(2a + 2\\)",
      "E":"\\(2a + 3\\)"
    },
    "exam":"source2",
    "id":12181,
    "originalQuestionNumber":14,
    "question":"If \\(a\\) and \\(b\\) are positive integers and \\(8(2^ { 4a }) = \\frac { 2^ { 2b } } { 2^3 } \\), what is \\(b\\) in terms of \\(a\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"9",
      "B":"15",
      "C":"18",
      "D":"24",
      "E":"25"
    },
    "exam":"source1",
    "id":12182,
    "originalQuestionNumber":3,
    "question":"A certain pump can drain a full 375-gallon tank in 15 minutes. At this rate, how many more minutes would it take to drain a full 600-gallon tank?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"2 inches",
      "B":"3 inches",
      "C":"4 inches",
      "D":"5 inches",
      "E":"8 inches"
    },
    "exam":"source1",
    "id":12183,
    "originalQuestionNumber":8,
    "question":"If as many 7-inch pieces of wire as possible are cut from a wire that is 6 feet long, what is the total length of the wire that is left over? (12 inches \\(=\\) 1 foot)",
    "sectionLength":20,
    "sectionNumber":2,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"-5",
      "B":"-2",
      "C":"2 and -5",
      "D":"-2 and 5",
      "E":"2 and 5"
    },
    "exam":"source1",
    "id":12184,
    "originalQuestionNumber":2,
    "question":"What are all the values of x for which \\((x - 2)(x + 5) = 0\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"10",
      "B":"5",
      "C":"2",
      "D":"\\frac{1}{2}"
    },
    "exam":"source7",
    "id":12185,
    "originalQuestionNumber":5,
    "question":"If \\frac{5}{x} = \\frac{15}{x + 20}, what is the value of \\frac{x}{5}?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"42",
      "B":"132",
      "C":"192",
      "D":"251",
      "E":"301"
    },
    "exam":"source5",
    "id":12186,
    "originalQuestionNumber":3,
    "question":"When a digital clock reads 3:47, the sum of the digits is 14. How many minutes after 3:47 will the sum of the digits be 20 for the first time?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"2",
      "B":"3",
      "C":"4",
      "D":"5",
      "E":"8"
    },
    "exam":"source2",
    "id":12188,
    "originalQuestionNumber":10,
    "question":"If \\(x\\), \\(y\\), and \\(z\\) are all integers where \\(-5 < x < y < z < 4\\) , which of the following is the greatest possible value of \\(xz\\) ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(4^ { 3x } \\)",
      "B":"\\(2^ { 4x } (4^x)\\)",
      "C":"\\(4^x (4^3x)\\)",
      "D":"\\(4^x (4^2x)\\)",
      "E":"\\(8^2x\\)"
    },
    "exam":"source6",
    "id":12190,
    "originalQuestionNumber":9,
    "question":"If x is a positive integer, all of the following are equal to \\((4^3)^x\\) EXCEPT",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"The standard deviation of temperatures in City A is larger.",
      "B":"The standard deviation of temperatures in City B is larger.",
      "C":"The standard deviation of temperatures in City A is the same as that of City B.",
      "D":"The standard deviation of temperatures in these cities cannot be calculated with the data provided."
    },
    "exam":"source7",
    "id":12191,
    "originalQuestionNumber":23,
    "question":"The tables below give the distribution of high temperatures in degrees Fahrenheit (degrees F) for City A and City B over the same 21 days in March. \\{SATSampleTest4-18\\} Which of the following is true about the data shown for these 21 days?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"-3",
      "B":"-20",
      "C":"-1",
      "D":"0",
      "E":"1"
    },
    "exam":"source2",
    "id":12196,
    "originalQuestionNumber":19,
    "question":"Let the function \\(f\\) be defined by \\(f(x) = (g(x))^2 - 2g(x) - 2\\). If \\(f(2) = -3\\), what is the value of \\(g(2)\\)?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"All three angles are less then 90 degrees.",
      "B":"One angle measures exactly 90 degrees.",
      "C":"At least one angle is greater than 90 degrees.",
      "D":"At least two of the angles have the same measure.",
      "E":"\\(\\overline {KO} = \\overline{KL}\\)"
    },
    "exam":"source1",
    "id":12199,
    "originalQuestionNumber":4,
    "question":"Points J, K, and L lie on a circle whose center is point O. If \\(\\overline {JK}\\) passes through O, which of the following is true about triangle LOK?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(10k\\)",
      "B":"\\(40k\\)",
      "C":"\\(10(10 - k)\\)",
      "D":"\\(100(10 - k)\\)",
      "E":"\\(10(k - 100)\\)"
    },
    "exam":"source2",
    "id":12200,
    "originalQuestionNumber":6,
    "question":"Peter bikes on a 100 mile path at an average of 10 miles per hour for the first \\(k\\) hours. In terms of \\(k\\), how many miles remain to be traveled?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"5 and 7 minutes",
      "B":"6 and 8 minutes",
      "C":"6 and 9 minutes",
      "D":"7 and 8 minutes",
      "E":"7 and 9 minutes"
    },
    "exam":"source1",
    "id":12201,
    "originalQuestionNumber":3,
    "question":"A long-distance runner takes between 5 and 7 minutes to run one mile during the first half of a cross-country race. During the second half, she starts to get tired and adds 1 to 2 minutes to the time it takes her to run a mile. What are the minimum and maximum munber of minutes it would take the runner to run one mile during the second half of the race?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"III only",
      "D":"I and III only",
      "E":"I, II, and III"
    },
    "exam":"source2",
    "id":12203,
    "originalQuestionNumber":6,
    "question":"If \\(x < 0\\), which of the following could have a solution? I. \\(|x| = -x\\) II. \\(|x| = x \\) III. \\(|x| = \\sqrt { x^2 } \\)",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"12",
      "B":"20",
      "C":"30",
      "D":"42",
      "E":"60"
    },
    "exam":"source2",
    "id":12205,
    "originalQuestionNumber":7,
    "question":"If the legs of right triangle \\(PQR\\) have lengths 5 and 12, what is the perimeter of a right triangle with each side twice the length of its corresponding side in \\(\\triangle { PQR } \\) ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"3",
      "B":"5",
      "C":"\\(\\sqrt { 26 } \\)",
      "D":"\\(\\sqrt { 29 } \\)",
      "E":"\\(\\frac { \\sqrt { 26 } + \\sqrt { 34 } } { 2 } \\)"
    },
    "exam":"source6",
    "id":12207,
    "originalQuestionNumber":15,
    "question":"A triangle has vertices at points A, B, and C, which are located at (1, 0), (-3, 0), and (0, 5) respectively. What is the distance from the midpoint of \\(\\overline { AB } \\) to point C ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"0",
      "B":"2",
      "C":"4",
      "D":"9",
      "E":"There is no value of x that satisfies the equation"
    },
    "exam":"source5",
    "id":12208,
    "originalQuestionNumber":12,
    "question":"If \\(2 - 3 \\sqrt { x } = 8\\), what is the value of \\(x\\)?",
    "sectionLength":16,
    "sectionNumber":9,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"9",
      "B":"10",
      "C":"12",
      "D":"13",
      "E":"14"
    },
    "exam":"source6",
    "id":12210,
    "originalQuestionNumber":2,
    "question":"\\begin { gather* } 66, 34, 18, m, 6, ... \\end { gather* } The first five terms of a sequence are shown above. In this sequence, the first term is 66 and each term after it is 1 more than \\(\\frac { 1 } { 2 } \\) the previous term. What is the value of \\(m\\) ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"3",
      "B":"6",
      "C":"7.5",
      "D":"9",
      "E":"9.9"
    },
    "exam":"source5",
    "id":12212,
    "originalQuestionNumber":6,
    "question":"If \\(f(x) = 9x + 9^x\\), what is the value of \\(f(\\frac { 1 } { 2 } )\\)?",
    "sectionLength":18,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"180",
      "B":"240",
      "C":"260",
      "D":"280",
      "E":"300"
    },
    "exam":"source6",
    "id":12213,
    "originalQuestionNumber":2,
    "question":"In the figure above, \\(\\overline { AB } \\) and \\(\\overline { CD } \\) are parallel and intersected by \\(\\overline { EF } \\). What is the value of \\(w + y + z\\) ?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(\\frac { m } { w } \\)",
      "B":"\\(\\frac { w } { m } \\)",
      "C":"\\(\\frac { 1 } { 2 } mw\\)",
      "D":"\\(mw\\)",
      "E":"\\(2mw\\)"
    },
    "exam":"source6",
    "id":12216,
    "originalQuestionNumber":1,
    "question":"If Donald can type \\(w\\) words in m minutes, which of the following represents his average typing speed, in words per minute?",
    "sectionLength":20,
    "sectionNumber":5,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"diagram578.eps",
      "B":"diagram61.eps",
      "C":"diagram1116.eps",
      "D":"diagram235.eps",
      "E":"diagram172.eps"
    },
    "exam":"source2",
    "id":12217,
    "originalQuestionNumber":5,
    "question":"If \\(y\\) is directly proportional to \\(x^2\\), which of the following could be the graph that shows the relationship between \\(x\\) and \\(y\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"16",
      "B":"16.704",
      "C":"16.763",
      "D":"16.873",
      "E":"17"
    },
    "exam":"source1",
    "id":12219,
    "originalQuestionNumber":12,
    "question":"If a number is rounded to 16.8, which of the following could have been the original number?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(2 \\times 6^n\\)",
      "B":"\\(2 \\times 6^ { n - 1 } \\)",
      "C":"\\(6 \\times 2^ { n - 1 } \\)",
      "D":"\\(6 \\times n\\)",
      "E":"\\(6 \\times n^2\\)"
    },
    "exam":"source6",
    "id":12222,
    "originalQuestionNumber":1,
    "question":"\\begin { gather* } 6, 12, 24, 48, ... \\end { gather* } Which of the following expressions represents the \\(n\\)th term in the sequence above?",
    "sectionLength":18,
    "sectionNumber":5,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"16",
      "B":"20",
      "C":"25",
      "D":"30",
      "E":"35"
    },
    "exam":"source1",
    "id":12223,
    "originalQuestionNumber":1,
    "question":"A certain car needs 15 gallons to travel 300 miles. At this rate, how many gallons are needed to travel 500 miles?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"\\(\\overline { AB } \\perp \\overline { CD } \\)",
      "B":"\\(\\overline { AB } \\perp \\overline { AC } \\)",
      "C":"\\(\\overline { AC } \\perp \\overline { AD } \\)",
      "D":"\\(\\overline { AB } \\parallel \\overline { CD } \\)",
      "E":"\\(\\overline { BC } \\perp \\overline { BD } \\)"
    },
    "exam":"source6",
    "id":12227,
    "originalQuestionNumber":7,
    "question":"If lines \\(\\overline { BC } \\) and \\(\\overline { BD } \\) are each perpendicular to line \\(\\overline { AB } \\), which of the following must be true?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"A",
    "choices":{
      "A":"2",
      "B":"3",
      "C":"4",
      "D":"16",
      "E":"32"
    },
    "exam":"source6",
    "id":12228,
    "originalQuestionNumber":16,
    "question":"In the function \\(f(x) = (x^c)(x^\\frac { 1 } { c } )\\), \\(c\\) is a nonzero constant. If \\(f(2) = 4\\sqrt { 2 } \\), what is the value of \\(c\\) ?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"\\(4 \\frac { 1 } { 2 } \\)",
      "B":"\\(4 \\frac { 3 } { 4 } \\)",
      "C":"\\(5 \\frac { 1 } { 2 } \\)",
      "D":"19",
      "E":"25"
    },
    "exam":"source6",
    "id":12229,
    "originalQuestionNumber":5,
    "question":"The charge for the first quarter-mile of a taxi ride is \\$1.40, and charge for each additional quarter-mile is \\$0.20. If the total charge for a certain taxi ride is \\$5.00, what is the length of this ride, in miles?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"144",
      "B":"72",
      "C":"36",
      "D":"18",
      "E":"12"
    },
    "exam":"source2",
    "id":12233,
    "originalQuestionNumber":10,
    "question":"If \\(k\\) is a positive integer, what is the smallest value of k for which \\((12k)^\\frac { 1 } { 3 } \\) is an integer?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(d = \\frac { 1 } { 2 } (k + 4)\\)",
      "B":"\\(d = \\frac { 1 } { 2 } (k - 4)\\)",
      "C":"\\(d = \\frac { 1 } { 2 } k + 4\\)",
      "D":"\\(d = \\frac { 1 } { 2 } k - 4\\)",
      "E":"\\(d = 2 (k - 4)\\)"
    },
    "exam":"source6",
    "id":12234,
    "originalQuestionNumber":4,
    "question":"David has 4 less than one-half the number of balloons that Katie has. If David has d balloons, and Katie has k balloons, which of the following equations correctly expresses the relationship between \\(d\\) and \\(k\\) ?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"24",
      "B":"28",
      "C":"32",
      "D":"33",
      "E":"36"
    },
    "exam":"source1",
    "id":12238,
    "originalQuestionNumber":2,
    "question":"On a certain test, if a student answers 80 to 90 percent of the questions correctly, he will receive a letter grade of B. If there are 40 questions on the test, what is the minimum number of questions the student can answer correctly to receive a grade of B?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "open"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"Add one number to the list.",
      "B":"Add one number to the list that is greater than the mean.",
      "C":"Add two distinct numbers to the list.",
      "D":"Add 2 to each number in the list.",
      "E":"Remove the first and fast numbers from the list."
    },
    "exam":"source6",
    "id":12240,
    "originalQuestionNumber":13,
    "question":"In a list of four positive even numbers, the mean, median, and mode are all equal. Which of the following CANNOT be done to the list if the mean, median, and mode are to remain equal?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"2",
      "B":"6",
      "C":"16",
      "D":"80"
    },
    "exam":"source7",
    "id":12242,
    "originalQuestionNumber":4,
    "question":"If 16 + 4x is 10 more than 14, what is the value of 8x?",
    "sectionLength":-1,
    "sectionNumber":4,
    "tags":[

    ]
  },
  {
    "answer":"C",
    "choices":{
      "A":"\\(a + b\\)",
      "B":"\\(a - b\\)",
      "C":"ab",
      "D":"\\(2a - b\\)",
      "E":"\\(\\frac{b}{a}\\)"
    },
    "exam":"source1",
    "id":12243,
    "originalQuestionNumber":15,
    "question":"If a is a nonzero integer and b is not an integer, which of the following could be an integer?",
    "sectionLength":20,
    "sectionNumber":3,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"3",
      "B":"4",
      "C":"6",
      "D":"9",
      "E":"12"
    },
    "exam":"source5",
    "id":12247,
    "originalQuestionNumber":1,
    "question":"If \\(3x = 36\\), then \\(\\frac { x } { 3 } \\) =",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"B",
    "choices":{
      "A":"(3, -2)",
      "B":"(2, -2)",
      "C":"(-2, 2)",
      "D":"(-2, -2)"
    },
    "exam":"source7",
    "id":12248,
    "originalQuestionNumber":2,
    "question":"\\begin{gather} x + y = 0 \\\\ 3x - 2y = 10 \\end{gather} Which of the following ordered pairs (x, y) satisfies the system of equations above?",
    "sectionLength":-1,
    "sectionNumber":3,
    "tags":[

    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(\\frac{x - 2}{3}\\)",
      "B":"\\(\\frac{x + 2}{3}\\)",
      "C":"\\(\\frac{x - 6}{3}\\)",
      "D":"\\(\\frac{x + 6}{3}\\)",
      "E":"\\(\\frac{6x + 4}{3}\\)"
    },
    "exam":"source1",
    "id":12249,
    "originalQuestionNumber":15,
    "question":"Subtract 6 from x. Divide this sum by 3. Add 4 to this quotient. Which of the following is the result obtained by performing the operations described above?",
    "sectionLength":16,
    "sectionNumber":8,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"I only",
      "B":"II only",
      "C":"III only",
      "D":"I and II only",
      "E":"I, II, and III"
    },
    "exam":"source5",
    "id":12250,
    "originalQuestionNumber":20,
    "question":"The measures of the three angles of a triangle are in the ratio of 5:5:10, and the length of the longest side is 10. From this information, which of the following can be determined? I. The area of the triangle II. The perimeter of the triangle III. The length of each of the three altitudes",
    "sectionLength":20,
    "sectionNumber":4,
    "tags":[
      "geometry"
    ]
  },
  {
    "answer":"D",
    "choices":{
      "A":"\\(\\frac { a } { 6 } \\)",
      "B":"\\(\\frac { 2a } { 11 } \\)",
      "C":"\\(\\frac { 6a } { 5 } \\)",
      "D":"\\(\\frac { 11a } { 18 } \\)",
      "E":"\\(\\frac { 2a } { 3 } \\)"
    },
    "exam":"source2",
    "id":12251,
    "originalQuestionNumber":12,
    "question":"If \\(a = 2b = 3c\\), what is the average (arithmetic mean) of \\(a\\), \\(b\\) and \\(c\\) in terms of \\(a\\)?",
    "sectionLength":16,
    "sectionNumber":7,
    "tags":[
      "closed"
    ]
  },
  {
    "answer":"E",
    "choices":{
      "A":"\\(\\frac { 13 } { 42 } \\)",
      "B":"\\(\\frac { 1 } { 3 } \\)",
      "C":"\\(\\frac { 5 } { 14 } \\)",
      "D":"\\(\\frac { 8 } { 21 } \\)",
      "E":"\\(\\frac { 17 } { 42 } \\)"
    },
    "exam":"source6",
    "id":12252,
    "originalQuestionNumber":2,
    "question":"Angelique invited 42 people to a conference. Of the invitees, 8 people declined, and the rest accepted. On the day of the conference, a snowstorm prevented half of those who accepted from making it to the conference. If no other people accepted or declined, what fraction of Angelique's original invitees attended the conference?",
    "sectionLength":20,
    "sectionNumber":5,
    "tags":[
      "open"
    ]
  }
]