1. There are 42 tuna and 49 salmon in a fish tank. What is the ratio of tuna to salmon?
2. The only solution to the equation (x - 2)(x - 10) = c is x=6. What is c?
3. Samantha, Larry, and Maria own shares of stock in the Plentiful Peanuts company. Samantha owns 50 shares, Larry owns 30 shares, and Maria owns 70 shares. Today, the value of 1 share of Plentiful Peanuts stock is $4.05. What is the total value of Samantha's, Larry's, and Maria's shares of Plentiful Peanuts stock?
4. 5p^ • 3p^ is equivalent to:
5. Simeon ordered graduation announcements from 'Nouncements & Notes. He was charged $35.00 for his announcements and was charged 8% of that amount for shipping. How much was Simeon charged for his announcements and shipping?
6. A jar contains only 11 red balls, 9 yellow balls, 5 green balls, and n white balls. Each ball is a solid color. What is the probability that a ball randomly chosen from the jar is yellow?
7. Each of the following (x,y) coordinate planes shows the graph of a quadratic function. Only one of the functions has no real zeros. Which one?
8. On a certain day in 2008, the population of the United States was estimated to be 303,488,509. Which of the following values is closest to this estimate?
9. In the figure below, AB is parallel to CD, and FG intersects AB and CD at J and K, respectively. Which of the following equations must be true?
10. In the figure below, AB is congruent to BC, and AE intersects BE at C. What is the measure of ZB?
11. The expression |6 - 4| - |3 - 9| =?
12. Consider all products xy such that x is divisible by 6 and y is divisible by 10. Which of the following whole numbers is NOT a factor of each product xy?
13. Kaya rented a boat from a marina for a fee of $50, plus $3 for every gallon of gas she used. When she returned the boat, Kaya was given a bill of $98. She had kept track of her gas usage and thought that the bill was in error—specifically, that the bill was $21 more than it should have been. If Kaya was correct, how many gallons of gas did Kaya use during her rental?
14. In the figure shown below, all angles are right angles, and the side lengths given are in meters. What is the area, in square meters, of the figure?
15. | 6 - 4 | - | 3 - 9 | =?
16. Which of the following proportions, when solved for n, gives the correct answer to the problem given below? Find the value of n that equals 28% of 96.
17. In the standard (x,y) coordinate plane, the point (2,-6) is the midpoint of the line segment with endpoints (8,-8) and:
18. The function g is defined by g(x) = 2x^2 - 3x. What is the value of g(-3)?
19. The graph below is that of the solution set to one of the following statements. Which one?
20. The inequality 5(x + 2) > 6(x - 5) is equivalent to which of the following inequalities?
21. A right triangle has legs of length 3 cm and 5 cm. The length of the hypotenuse, in centimeters, is between:
22. Each side of a square is 5 cm long. One vertex of the square is at (2,3) on a square coordinate grid marked in centimeter units. Which of the following points on the grid could be another vertex of the square?
23. After the DeJong family began their trip, they traveled the least number of miles on which of these 5 days?
24. For the right triangle shown below, with the given dimensions in inches, which of the following trigonometric expressions has a value of |- ?
25. The expression - 2a + 1 is equivalent to:
26. The diameter of the circle shown below is 18 centimeters. What is the circle's circumference, in centimeters?
27. Which of the following number line graphs represents the solution set of the equation x^ + 2 = 3?
28. What is the minimum number of bags of fertilizer the gardener needs to buy?
29. How many feet of decorative fencing would be needed to enclose the flower border along its outer edge?
30. How many cubic yards of cement will be needed for this walkway?
31. What is the probability they will land so that the side facing up on the coin is tails and the side facing up on the cube is yellow?
32. What is the length, in inches, of the prism?
33. For what values of x is the expression undefined?
34. Which of the following is an equation of AC?
35. Which of the following is closest to the straight-line distance, in miles, between these 2 cities?
36. What is the measure of ∠A?
37. Which expression gives the measure of the acute angle formed by the pipeline and the coastline?
38. Approximately how many feet above the ground is the top of the pole?
39. What is the pond's length, in meters?
40. What is the area, in square inches, of the smaller triangle?
41. A band has only junior and senior band members. To raise money for new band uniforms, the members sold candy. Candy sales averaged $50 for each junior and $40 for each senior. If the ratio of juniors to seniors in the band was 3:2, candy sales averaged how many dollars per band member?
42. One of the following values is the slope of a line of best fit for the points shown below in the standard (x,y) coordinate plane. Which value?
43. Min and Blanca answered the same homework question with different, yet equivalent, expressions. Min's expression was (x + 3)^ - x^. Blanca said her expression was a simplified form of Min's expression. Which of the following expressions could be Blanca's?
44. Points A through F lie on the circle shown below so that the distance between any 2 adjacent points is equal. The circle has diameter ^ inches. What is the length, in inches, of AB ?
45. Whenever c^b = 1 for positive values of a and b, which of the following equations gives a in terms of h?
46. The slope of line / in the standard (x,y) coordinate plane is -7. Which of the following is an equation of a line that is perpendicular to line /?
47. Given that x and are integers, which of the following statements about x must be true?
48. Miles sells Baby Laugh dolls. The number of dolls, x, that Miles sells in 1 year depends on the price he sells them for that year, p dollars per doll. The equation X = 52 - 2p, where 0 < p < 26, gives the relationship between x and p. Miles's revenue is 'the money collected from selling x dolls. The maximum revenue Miles can make from the sale of Baby Laugh dolls in 1 year occurs at what price per doll?
49. A geometric sequence is a sequence of numbers in which each term is multiplied by a constant to obtain the following term. What is the 4th term in the geometric sequence with first 3 terms 4, 6, and 9 ?
50. Which of the following equations shows the formula solved for r?
51. A used car with a purchase price of $20,000 has a constant annual rate of decrease in value of 0.1. According to the model, what is the value of the car, to the nearest dollar, at the end of 3 years?
52. A used car has a constant annual rate of decrease in value of 0.075. According to the model, which of the following expressions gives the number of years after purchase for the car to reach a value that is 50% of its purchase price?
53. In AABC shown below, lengths given are in inches, and the measure of ZA is 36°. Which of the following values is closest to the length, in inches, of BC?
54. The pitch of a roof is given in a rise:run ratio. An 8:12 pitch is shown below. Which of the following pitches would result in the steepest roof?
55. The graph of y = f(x) is shown in the standard (x,y) coordinate plane below. One of the following graphs is that of y = |f(x)|. Which graph is it?
56. Fifteen cars containing a total of 60 people crossed a toll bridge. Each of the 15 cars contained at least 1 person but no more than 5 people. At most how many cars contained exactly 3 people?
57. Let θ be the radian angle measure that satisfies sin^2 θ - sin θ = -1 for 0 < θ < 1. What is cos θ?
58. The system of equations below has multiple solutions, all of which satisfy the equation y = -2. If it can be determined, what is the value of a?
59. As shown in the figure below, D is the center of the circle, and right triangle AABD intersects the circle at C and F. Point C is the midpoint of BD, which is 12 cm long. The shaded region inside the circle and outside the triangle has an area of 32π square centimeters. What is the measure of ∠A?