1. Given that f(x) =3x^3−7, what is f(−2)? DO YOUR FIGURING HERE.
2. During a certain game, the probability of randomly drawing Card A is _1_. What is the probability of randomly drawing a card that is NOT Card A?
3. Dawn randomly selected 6 books from the teen library, read them, and then rated them as follows: 40, 60, 10, 80, 30, and 40. Based on the sample data, what is the best estimate of Dawn’s average rating of all the books in the library?
4. On a digital music player there are 153 rap songs, 72 country songs, 14 jazz songs, and 121 rock songs. Given that the player is set to randomly shuffle the song selection, what is the probability, rounded to the nearest thousandth, the 1st song played will be a country song?
5. A city bus picks up and drops off passengers according to the table below. The bus has 0 passengers before Stop1. After Stop5, there are 13 passengers remaining on the bus. How many passengers did the bus pick up at Stop 1?
6. What is the length, in inches, of the hypotenuse of a right triangle with a leg that is 8 inches long and a leg that is 3 inches long?
7. Given x = 100 and y = −20, x + y is equal to the product of −5 and what number?
8. The operation ⊗ is defined by a⊗b=a^2b. If a=5 and a⊗b=100, what is the value of b?
9. For RT shown below, point S is on RT, the length of RS is 6cm, and the length of ST is 16cm. What is the distance, in centimeters, between T and the midpoint of RS?
10. Matrices A and B are given below. A=3−2 64 B=38 54 3 −8 1 −4 Which of the following matrices is A−B?
11. One of the lines graphed in the standard (x,y) coordinate plane below has a negative slope and a negative y-intercept. Which one?
12. In a certain isosceles triangle, the measure of the vertex angle is 34°. What is the measure of each of the 2 base angles?
13. This month, Reed sold 40 figurines in 2 sizes. The large figurines sold for $12 each, and the small figurines sold for $4 each. The amount of money he received from the sales of the large figurines was equal to the amount of money he received from the sales of the small figurines. How many large figurines did Reed sell this month?
14. The 7th term and the 8th term of an arithmetic sequence are 4 and 12, respectively. What is the 2nd term of this sequence?
15. The Cross High School girls’ softball team currently has a record of 14 wins, 11 losses, and 0 ties. What is the least number of its remaining 12 games the team must win to finish the season winning more than 50% of all the team’s games?
16. An object is launched vertically at 49 meters per second from a 980-meter high platform. The equation for the object’s height, h, at time t seconds after launch is h(t)=−4.9t^2+49t+980, where h is in meters. What will be the height, in meters, of the object 6 seconds after launch?
17. The 1st term of Pattern A is 2. The rule to find each subsequent term is to multiply the previous term by 2 and then subtract 1. The 1st term of Pattern B is 2. The rule to find each subsequent term is to subtract 1 from the previous term and then multiply by 2. What is the sum of the 4th terms of Pattern A and Pattern B?
18. Which of the following binomials is a factor of x^2−x−156?
19. One of the following graphs is that of the solution set of the inequality 4x−2 ≤10. Which one?
20. Let y be an irrational number. Which of the following statements about the value of 15y must be true?
21. One of the following equations represents the line of best fit shown in the scatterplot below. Which one?
22. Points G(2,6) and H(10,14) lie in the standard (x,y) coordinate plane. What is the midpoint of GH?
23. The sum of 2 numbers is 22. The sum of the squares of the 2 numbers is 260. What is the product of the 2 numbers?
24. One of the following transformations or sequences of transformations would map Trapezoid A onto Trapezoid B. Which one?
25. What is the y-coordinate of the point on the circle with a center at (5,4) and a radius of 3 coordinate units that is greater than that of any other point on the circle?
26. Which one of the following forms represents the graph in the standard (x,y) coordinate plane below?
27. How many gallons of fuel will be in Jared's tank when he gets home?
28. Which of the following points is outside of the circle centered at O with a radius of 10 feet?
29. What is the total amount of money Albert will be paid in contest winnings over 365 days?
30. What is the value of g_f(5)+?
31. What is the value of x in the figure where line l is parallel to line m?
32. Which of the following expressions is equal to _2√7 +1+_√7 −1+−_√7 −1+?
33. Evaluate −2i(3 +4i) −3(2 +5i) =?
34. What is the probability that a randomly selected patron purchased a scoop of vanilla ice cream topped with sprinkles?
35. Which one defines f? f(x) =?
36. Given that a customer selected at random from those surveyed likes corn bread, what is the probability that the customer dislikes banana bread?
37. For all positive values of a and b, 8b is equivalent to:
38. How many 6-digit positive integers contain the digits 1, 3, 4, 6, 7, and 8?
39. What is the least common denominator for _x__ + _2__ + _x_2_−_ _9_?
40. Which statement is a correct conclusion based on Thomas’s test?
41. In triangle ABC below, BD is the altitude from B to AC, the measure of ∠A is 60°, AD = 10 m, and DC = 2 m. What is the area, in square meters, of triangle ABC?
42. The area of any triangle is given by 1/2 ab(sin C), where a and b are the lengths of any 2 sides, and C is the interior angle formed by those 2 sides. Which of the following is closest to the area, in square feet, of a triangle with side lengths of 6.2ft, 10.0ft, and 14.0ft, and with angle measures of 23°, 39°, and 118°?
43. What are the slope and y-intercept of the line that goes through (0,8) and (4,0) in the standard (x,y) coordinate plane?
44. What are the solutions of (x+1)² + 1 = 0?
45. What percent of employees in this company have a monthly salary greater than $5,000?
46. Rodrigo and Kim are both employees with the company. Rodrigo has a job title of Hardware Engineer and Kim has a different job title. The absolute value of the difference between Rodrigo’s monthly salary and Kim’s monthly salary is greater than $800. Let x represent Kim’s monthly salary, in dollars. Which of the following statements shows all and only the possible values of x?
47. Next year, the monthly salary of each employee with the title of Software Engineer will be increased to $6,500. No other monthly salaries will be increased or decreased, and the number of employees with each job title will remain the same. Which of the following dollar amounts is closest to the change in the mean of the 12 monthly salaries from before the increase to after the increase?
48. In the standard (x,y) coordinate plane, the graph of y=5x² is reflected over the x-axis and then translated to the right 3 coordinate units. The graph of which of the following equations is the result of these transformations?
49. What are the real solutions for the equation x⁴ − 9 = 0?
50. To the nearest 0.1 second, how many seconds will it take a car to travel a distance of 100 feet given that it is traveling at 45 miles per hour?
51. The interior diameter and interior height of a cylindrical container are given in inches in the figure below. Water will be poured into the empty container at a rate of 40π cubic inches per minute. At this rate, in exactly how many minutes will the container be completely filled?
52. For what real value of x is (3x + 7)/(9) = 1 true?
53. Craig writes a check for $18. When he records the check in his check register, he accidentally adds $18 to his balance instead of subtracting $18, which causes a discrepancy between what Craig’s check register shows and what it should show. Because of his mistake, Craig’s check register shows:
54. In the figure shown below, CE is shared by triangle CDE and rectangle ABCE. The height of triangle CDE from D to CE is 4 cm, and BC = AE = 15 cm. The area of pentagon ABCDE is 200 square centimeters. Which of the following values is closest to the length, in centimeters, of CE?
55. In the standard (x,y) coordinate plane below, a circle with radius 2 coordinate units is centered at the origin. Point A is on the circle and on the terminal side of a 150° angle in standard position. What are the coordinates of A?
56. The line plot below shows the number of miles Bob framed each day for a new sidewalk. After he finished framing, he poured concrete for 1/2 mile of sidewalk each day. Which of the following is closest to the total number of days it took Bob to pour concrete for the entire sidewalk?
57. A store that sells office furniture tracks the number of bookcases sold each day for a year and then prepares the data table below. Which of the following is closest to the number of bookcases the store can expect to sell in 100 randomly selected days?
58. On the interval 0° ≤ x ≤ 180°, what are all the real solutions to (2 cos x + 1)(cos x − 1) = 0?
59. The circumference of a circle is 16π feet. What is the perimeter, in feet, of a square inscribed in the circle?