1. | If (x^2 * y) / (2z) = 2x, what is y in terms of x and z if x, y, and z are non-zero real numbers? |
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2. | A number is given as 3513N, where N is an positive integer that fills in the units digit. Which of the following values of N would result in 3513N being a multiple of 9? |
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3. | X $$ Y is defined as (X + Y)*(X - Y). Which of the following represents X^2 $$ Y^2 |
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4. | Which of the following number is in the domain of f(x) = squareroot(x-2)/(x-7) |
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5. | If |x| = |y|, which of the following is necessarily true? |
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6. | Let X be the number of prime numbers on [1,10]. Let Y be the number of composite numbers on [1,10]. What is X+Y? |
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7. | Solve for x: 2x + 3 = 4x - 3 |
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8. | If a @ b = 2(a + |b|), what is the value of 2 @ (-2 @ -1)? |
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9. | John is 4 years older than Marie. In ten years, he will be twice as old as Marie. How old is Marie now? |
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10. | Let f(x) = x^2 - 2x. What is the value of f(2)? |
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11. | Which of the following is not a true statement? |
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12. | What is the sum of the first five prime numbers? |
13. | If f(x - 3) = g(x + 3), what does f(x) equal? |
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14. | If |x| = |y| and |x| = z, which of the following is always true? |
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15. | If x/y = z^2 and y/(xz) = z, and x, y, and z are not equal to 0, which of the following must be true? |
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16. | (5 * 5 + 3) / 2 + 7 / 7 = ? |
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17. | How many ways can four students sit around a circular table? |
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18. | Solve for x: 2^(x+4) = 4^(x-2) |
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19. | A set of integers includes: 44, 66, 88, and x. If the mean of the scores is 80, what is x? |
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20. | John is older than Maria. Maria is younger than Sue. Terry is the oldest of the four of them. Who is the youngest? |
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21. | If y = x^2 + 3, at how many points does y=0? |
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22. | If the length of the sides of a cube is tripled, by what factor is the volume of the cube increased? |
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23. | If x = y, which of the follow is necessarily true? |
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24. | A fifty-question test is worth 500 points. If a student scores 400 points, how many questions did he miss? |
25. | If f(x) = g(x) + h(x), which of the following is not always true for all f, g, and h that are defined at x? |
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26. | Which of the following will be equal to the 1 times the sign (positive or negative) of x? |
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27. | A fair coin is flipped three times. What is the chance that no head will appear? |
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28. | A train leaves the train station at 10:00 AM travelling 100 mph due west. Another train leaves another station along the track travelling the opposite direction. If the trains meet at 11:00 AM and traveled 100 miles, what is the speed of the other train? |
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29. | If a block has dimensions of 3, 4, and 5 units, how many 2 by 2 by 3 blocks can fit in the block? |
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30. | If x < |y|, which of the following is always true? |
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31. | Which of the following is not true about the function y = 1 / (x^2 + 4x + 3)? |
32. | A six-sided dice is rolled twice. What is the chance that the sum of the two rolls will be exactly 10? |
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33. | In a class election between Ricky, Susie, and Mikey, Ricky earns 20% of the vote and Mikey earns 30% of the vote. There are 24 members of the class. How many votes did Susie receive? |
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34. | A function g(x) is defined as g(x) = h(x + a). Which of the following is a point on the curve of g(x)? |
35. | If n is an integer, q is a rational number, and r is an irrational number, which of the following statements is incorrect? |
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36. | What is the slope of the line given by 5x - 2y = 0? |
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37. | The product of two positive numbers is equal to half of their sum. Their difference is 10. Find a + b |
38. | The letters of the word: "alphabet" are placed into a hat and scrambled. What is the probability of choosing a vowel at random from the hat? |
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39. | If Mike can buy four apples for one pear and four pears for one peach, and if one peach is equal to eight bananas, how many bananas will Mike receive for one apple? |
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40. | If Pete can run five miles in one hour, how many hours would it take him to run 25 miles? |
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41. | Which of the following numbers is not a possibility value of the function f(x) = x^2 - 1 |
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42. | If a number is divisible by 2 but not divisible by 3, what can be concluded about the number? |
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43. | In football, a team earns 6 points for a touchdown and can earn 0, 1, or 2 extra points after each touchdown. Which of the following scores is not possible after earning three touchdowns? |
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44. | A teacher tells her students that on a 100-question test, the answer to every third question is C and the answer to every fourth question is B. Based on this, how many questions can be answered using her suggestion? |
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45. | Simplify the following expression: (5x + 3) * (2x + 1) - x^2 - 7 |
46. | Twice the sum of two different numbers is equal to one-third of the product of the squares of the numbers. Which of the following equations represent this statement? |
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47. | If |x| > |y|, and x < y, which of the following is always true? |
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48. | How many ways can the letters in the word "WORD" be arranged? |
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49. | How many times does the graph of y = x^3 cross the x-axis? |
50. | What is the value of n! divided by (n-3)! ? |
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