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Jeopardy

Jeopardy. Final Jeopardy. $100 Question from Numbers & Operations. x , 2 x , 4 x , … The first term in the sequence above is x , and each term thereafter is equal to twice the previous term. Which of the following is the sum of the first five terms of this sequence? 10 x 15 x 30 x 31 x

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Jeopardy

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  1. Jeopardy Final Jeopardy

  2. $100 Question from Numbers & Operations • x, 2x, 4x, … • The first term in the sequence above is x, and each term thereafter is equal to twice the previous term. Which of the following is the sum of the first five terms of this sequence? • 10x • 15x • 30x • 31x • 32x

  3. $100 Answer from Numbers & Operations D

  4. $200 Question from Numbers & Operations • A positive integer is subtracted from its square. The units digit of the result could be which of the following? • 3 • 4 • 5 • 6 • 7

  5. $200 Answer from Numbers & Operations D

  6. $300 Question from Numbers & Operations • A total of 120,000 votes were cast for 2 opposing candidates, Garcia and Perez. If Garcia won by a ratio of 5 to 3, what was the number of votes cast for Perez? • 15,000 • 30,000 • 45,000 • 75,000 • 80,000

  7. $300 Answer from Numbers & Operations C

  8. $400 Question from Numbers & Operations • If t is a number greater than 1, then t2 is how much greater than t? • 1 • 2 • t • t(t -1) • (t – 1)(t + 1)

  9. $400 Answer from Numbers & Operations D

  10. $500 Question from Numbers & Operations • If j, k, and n are consecutive integers such that • 0 < j < k < n and the units (ones) digit of the product jn is 9, what is the units digit of k? • 0 • 1 • 2 • 3 • 4

  11. $500 Answer from Numbers & Operations A

  12. $100 Question from Algebra & Functions • If x + 1 = 23, what is the value of 3x + 3? • 22 • 46 • 66 • 69 • 72

  13. $100 Answer from Algebra & Functions D

  14. $200 Question from Algebra & Functions • If x + 1 = 7, what is the value of x2 + 2x + 1? • 36 • 37 • 48 • 49 • 81

  15. $200 Answer from Algebra & Functions D

  16. $300 Question from Algebra & Functions • Suppose that n is an integer such that is 12 greater than . Which of the following is the value of n? • -72 • -36 • -24 • 24 • 72

  17. $300 Answer from Algebra & Functions A

  18. $400 Question from Algebra & Functions • Let m and n be positive integers such that one-third of m is n less than one-half of m. Which of the following is a possible value of m? • 15 • 21 • 24 • 26 • 28

  19. $400 Answer from Algebra & Functions C

  20. $500 Question from Algebra & Functions • Let m be an even integer. How many possible values of m satisfy ? • One • Two • Three • Four • Five

  21. $500 Answer from Algebra & Functions E

  22. $100 Question from Geometry & Measure • In the figure above, line l is perpendicular to the y-axis and a distance of two units from the x-axis. Which of the following points is on line l? • (-1, 2) • (-2, 1) • (2, 3) • (3, 1) • 4, 3)

  23. $100 Answer from Geometry & Measure A

  24. $200 Question from Geometry & Measure In the figure above, ABCD is a rectangle. If AD = 6, which of the following could be the length of AC? a) 3 b) 4 c) 5 d) 6 e) 7

  25. $200 Answer from Geometry & Measure E

  26. $300 Question from Geometry & Measure • Semicircular arcs AO and OB divide the circle above with center O into two regions. If the length of diameter AB is 12, what is the area of the shaded region? • 6π b) 9π c) 18π d) 36π e) 72π

  27. $300 Answer from Geometry & Measure C

  28. $400 Question from Geometry & Measure The curve and the line intersect at the origin and at the point (a, b), as shown in the figure above. What is the value of b? a) b) c) d) e)

  29. $400 Answer from Geometry & Measure B

  30. $500 Question from Geometry & Measure In the figure above, AB = 6 and BC = 8. What is the length of segment BD? a) b) c) d) e)

  31. $500 Answer from Geometry & Measure D

  32. $100 Question from Statistics & Probability • In the triangle above, what is the average (arithmetic mean) of x, y and z? • a) 30 • b) 45 • c) 60 • d) 75 • e) 90 y° x° z°

  33. $100 Answer from Statistics & Probability C

  34. $200 Question from Statistics & Probability • The circle graph above shows how David’s monthly expenses are divided. If David spends $450 per month for food, how much does he spend per month on his car? • $200 b) $320 c) $360 d) $400 e) $450

  35. $200 Answer from Statistics & Probability C

  36. $300 Question from Statistics & Probability {1, 2, 3, 4, 5, 6, 7} Set M is shown above. Each number in set N is generated by dividing each number in set M by 2. What is the average (arithmetic mean) of the numbers in set N? a) 1 b) 3/2 c) 7/4 d) 2 e) 4

  37. $300 Answer from Statistics & Probability D

  38. $400 Question from Statistics & Probability The first term in a sequence is the number n, and each term thereafter is 5 greater than the term before. Which of the following is the average (arithmetic mean) of the first nine terms of this sequence? a) n + 20 b) n + 180 c) 2n d) 2n + 40 e) 9n + 180

  39. $400 Answer from Statistics & Probability A

  40. $500 Question from Statistics & Probability The average (arithmetic mean) of a particular set of seven numbers is 12. when one of the numbers is replaced by the number 6, the average of the set increases to 15. What is the number that was replaced? a) -20 b) -15 c) -12 d) 0 e) 12

  41. $500 Answer from Statistics & Probability B

  42. Final Jeopardy • If x and y are positive integers, which of the following is equivalent to (2x)3y – (2x)y ? • (2x)2y • 2y(x3 – xy) • (2x)y[(2x)2y-1] • (2x)y(4xy-1) • (2x)y[(2x)3-1]

  43. Final Jeopardy Answer C

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