1. A calculator has a regular price of $59.95 before taxes. It goes on sale at 20% below the regular price. Before taxes are added, what is the sale price of the calculator?
2. Given r = 6, b = 4, and g = -9, (r + b - g)(b + g) =?
3. In the figure below, C is on BD, LBAC measures 42°, and LABC measures 108°. What is the measure of LACD?
4. If ¾ x + 10 = 17, then x = ?
5. What is the length, in inches, of the hypotenuse of a right triangle with a leg that is 9 inches long and a leg that is 2 inches long?
6. A bag contains exactly 18 solid-colored buttons: 3 red, 5 blue; and 10 white. What is the probability of randomly selecting 1 button that is NOT white?
7. What is the sum of 3 consecutive odd integers whose mean is 27?
8. Two dials are shown below. When the arrows on each dial are spun, it is equally likely to point at any of the numbered sectors on its dial after it has stopped spinning. After the arrows are next spun, the numbers in the sectors the arrows point at after they stop spinning will be added together. Which of the following values is NOT a possible sum of those 2 numbers?
9. On a bike trail there are 5 checkpoints numbered in order, Checkpoint 1 through Checkpoint 5, as shown in the figure below. Some distances along the trail between 2 checkpoints are given: 6.6 miles between 1 and 3; 4.5 miles between 2 and 3; and 9.7 miles between 2 and 5. Which of the following values is closest to the distance, in miles, along the trail between Checkpoint 1 and Checkpoint 5?
10. In the figure below, a circle with a radius of 10 meters circumscribes a regular hexagon. What is the perimeter, in meters, of the hexagon?
11. To produce aluminum softball bats, it costs the Recreation Equipment Supply Company $3,500 for overhead, plus $2 per softball bat produced. What is the maximum number of bats that can be produced by the company for $15,000?
12. Given that 3x + 2 = 4 and 2y + 6 = 5, what is x + y?
13. For all x such that x ≠ 0, which of the following expressions is equivalent to 15x ÷ x?
14. What is the value of the expression 16 + 4 × 2 - 5?
15. Karen invested $2,000 in a special savings account. The balance of this special savings account will double every 5 years. Assuming that Karen makes no other deposits and no withdrawals, what will be the balance of Karen's investment at the end of 40 years?
16. The graph below shows the amount of water in a pond over a period of 7 hours. One of the following values is the number of hours the amount of water in the pond remained constant. Which one?
17. If it rains in Franklin City on a particular day, the probability that it will rain there the following day is 0.70. If it does not rain in Franklin City on a particular day, the probability that it will rain there the following day is 0.10. Given that it rained in Franklin City on Monday, what is the probability that it will NOT rain in Franklin City on Tuesday of the same week?
18. In the standard (x,y) coordinate plane, what is the slope of the line given by the equation 5x = 9y + 18?
19. One of the following equations represents the line graphed in the standard (x,y) coordinate plane below. Which one?
20. In the figure below, line m is perpendicular to line n, and line p is parallel to line q. Lines m, n, and p intersect at a single point. Some angle measures are given. What is the value of x?
21. A bag contains 10 solid-colored marbles of the same size: 3 red, 2 green, 1 yellow, and 4 blue. Which of the following expressions gives the probability of drawing, at random and without replacement, a blue marble on the 1st draw, a green marble on the 2nd draw, and a blue marble on the 3rd draw?
22. Given that the function f defined as f(x) = -3x has domain {-1, 0, 2}, what is the range of f?
23. To the nearest 1 foot, what is the height of a rectangular prism with a base length of 15 feet, a base width of 1/2 feet, and a volume of 100 cubic feet?
24. What is the value of g(f(5))?
25. The distance along the building, fa feet, between the ground and the top of the ladder is equal to which of the following expressions?
26. How many grams of iodine-131 will remain after 16 days if there were 32 grams of iodine-131 at t = 0?
27. Which of the following expressions is equivalent to √(256x/16)?
28. How many centimeters longer is the circumference of the larger circle than that of the smaller circle?
29. In terms of x, what is the area, in square centimeters, of the figure?
30. What will be the coordinates of the final image of A resulting from both transformations?
31. Which of the following expressions gives the degree measure of the angle of the triangle at the vertex where Olivia is standing?
32. What is the area of triangle MAB in square coordinate units?
33. What is the length of AB in coordinate units?
34. Which of the following is an equation of AB?
35. Which of the following arranges the numbers 1.8, 1.08, and 1.08 into ascending order?
36. Which of the following values is closest to the mean of the 20 customer ratings?
37. Which of the following operations will produce the largest result when substituted for the blank in the expression 14 - ( ___ )?
38. Which of the following equations gives H in terms of A?
39. According to the equation, what would be the noon temperature for that certain day on Laurel Mountain at sea level?
40. Which of the following values is closest to the area, in square feet, of the top surface of the patio?
41. Which of the following equations is that of a circle that has center (1, -4) and radius of 5 coordinate units?
42. Which of the following is an integer having exactly 5 different positive integer divisors?
43. If 49a = 7 and 3a + b = 81, then b =?
44. Florencia has 60 feet of fencing and a 4-foot-wide gate to use to enclose a dog pen. Which dog pen shape and dimensions will have the largest area?
45. The difference -li~s;i n' which of the following intervals graphed on the real number line?
46. The recursive formula for a sequence is given below, where an is the value of the nth term. an = an-1 + 5. Which of the following equations is an explicit formula for this sequence?
47. The probabilities that each of 2 independent events will occur are given in the table below. What is the probability that both Events A and B will occur?
48. What is the solution set of the equation x^4 + 21x^2 - 100 = 0?
49. Jarrod is looking up at a hot-air balloon. Which expression is closest to the distance, d feet, from Jarrod to the basket?
50. Skyline Tours made $5,000 in 1 day by selling a total of 30 tickets for Tours A, B, and C. How many tickets were sold for Tour C?
51. Which of the following values is the difference, in miles per hour, of the average speeds of their balloons during their tours?
52. Among the following expressions, which best estimates the planned number of firefighters along the perimeter of the triangle?
53. How many integers between, but not including, 20 and 30 have a prime factorization with exactly 3 factors that are NOT necessarily unique?
54. Which system is represented by the shaded region shown in the standard (x,y) coordinate plane below?
55. What is g(4) if g(x) = f(x)^3?
56. What is the value of a if the ratio of a to b is 6 to 1 and the ratio of b to c is 12 to 1?
57. Using the data from the frequency histogram, what is the sum of the mean and the median of this distribution?
58. What is the y-intercept of the graph of the function defined below?
59. What is the matrix product?