1. Carnell is paid a regular hourly wage of $13.50 per hour for working up to and including 40 hours in 1 week. For each additional hour he works in a week, Carnell is paid twice his regular hourly wage. Carnell worked 48 hours this week. What is his pay for this week?
2. In the standard (x,y) coordinate plane, what is the slope of the line with the equation y−2 = _1_(x+3)?
3. Sofia earned scores of 85, 86, 87, and 82 points on 4 math tests. What score must Sofia earn on the 5th math test for the average of the 5 tests to be exactly 3 points higher than the average of the first 4 tests?
4. The parallelogram below has consecutive angles with measures x° and 28°. What is the value of x?
5. Two side lengths of the right triangle shown below are given in inches. How many inches long is the hypotenuse?
6. Using only Step 1 followed by Step 2 below, Amir correctly solved a linear equation. Step 1: Subtract 16 from both sides of the equation. Step 2: Multiply both sides of the resulting equation by 5. One of the following equations is the equation that Amir solved. Which one?
7. All the kindergarten students at Cannon Elementary School are in exactly 1 of 3 classes. The 1st class has 10 boys and 15 girls, the 2nd class has 9 boys and 17 girls, and the 3rd class has 11 boys and 12 girls. All the kindergarten students at Cannon Elementary School are gathered in the gym for an assembly where 1 kindergarten student is randomly selected to win a prize. What is the probability that the selected student will be a boy?
8. Jamal purchased a car that had a purchase price of $6,400, which included all other costs and tax. He paid $1,500 as a down payment and got a loan for the rest of the purchase price. Jamal paid off the loan by making 36 payments of $200 each. The total of all his payments, including the down payment, was how much more than the car’s purchase price?
9. What is the solution of the equation 8(x+2) = 4x−2(x−3)?
10. The expression (2x)3(3x)2 is equivalent to:
11. 3a−4(2b−5a) +7(3a+2b) is equivalent to:
12. A square and a rectangle have the same area. The length of the rectangle is 45 centimeters, and the width of the rectangle is 5 centimeters. What is the length, in centimeters, of a side of the square?
13. Square ABEF and parallelogram ACDG are shown in the figure below. Points E and F are on DG, B is on AC, and the lengths given are in inches. What is the ratio of the area of ABEF to the area of ACDG?
14. A 2-liter bottle of Fizzo contains approximately 67.6 ounces of soda. An 8-ounce serving of Fizzo has 110 calories. Which of the following is closest to the number of calories in a 2-liter bottle of Fizzo?
15. What is the smallest integer greater than √•7•7?
16. A wheelchair ramp will be constructed for a public library. The ramp will extend 20 inches horizontally for every 1 inch of rise vertically. The rise of the ramp will be 30 inches. Which of the following values is closest to the length, in feet, the ramp will extend horizontally?
17. Padma’s teacher asked her to subtract 3 from a certain number and then divide the result by 9. Instead, Padma subtracted 9 and divided the result by 3, getting an answer of 43. What would her answer have been had she worked the problem as her teacher asked?
18. On the local car dealer’s lot, there are only 26 cars with a sunroof and only 18 cars with cruise control. The number of cars on the lot with both a sunroof and cruise control must be:
19. On her algebra exam, Hannah had to solve the equation x2 + 3x − 8 = 0 for x. Confident that the quadratic formula was the correct method to solve this equation, she started her solution with the equation below. What error, if any, did Hannah make in setting up the equation?
20. Every 10 minutes, Channel 7 begins a 60-second-long commercial. Every 12 minutes, Channel 5 begins a 60-second-long commercial. Each channel began a 60-second-long commercial at the same instant. How many minutes will elapse before both channels next begin a 60-second-long commercial at the same instant?
21. When Professor Soto began his trip to a mathematics conference, he noticed that the 2 digits of the recorded temperature, in degrees Fahrenheit, had a sum of 8. Later, he noticed that the 2 digits were reversed and that the temperature had warmed 18°F. What was the temperature, in degrees Fahrenheit, at the beginning of his trip?
22. Given functions f(x)=4x+1 and g(x)=x^2−2, what is the value of f_g(−3)+?
23. In the standard (x,y) coordinate plane, A is located at (4,9). What is the location of the image of A that results from reflecting A over the y-axis?
24. For every odd integer x, the expression x^2+x results in:
25. What is the least positive number that has a remainder of 5 when divided by 7 and a remainder of 3 when divided by 5?
26. Naomi is going to install baseboard around the perimeter of her room’s rectangular floor, shown below. The floor has dimensions 15 feet by 20 feet. The 2 doorways in her room are each 3 feet wide and do not require baseboard. Assuming an average cost of $0.30 per linear foot requiring baseboard, how much will it cost Naomi to purchase baseboard for her room?
27. Chou flies directly from New York City to San Francisco. New York City’s time is 3 hours later than San Francisco’s time. Chou left New York City at 7:30 a.m. local time and landed in San Francisco at 11:12 a.m. local time. How long was the trip?
28. Petsnacks is going to test its catnip ball on 200 domestic cats. Which of the following values is equal to the expected number of cats that will NOT have a reaction to the catnip in the toy?
29. Petsnacks sold 1,500 catnip balls in its 7th month of operation and 1,550 catnip balls in its 8th month. Given that its sales of these toys have followed an arithmetic sequence since the operation began, how much profit, in dollars, did Petsnacks make on the catnip balls in its 3rd month of operation?
30. Next month at a pet-food trade show, Petsnacks will exhibit 1 box of each flavor of its entire line of pet treats in a row on a shelf. By that time, the company will have added 3 different flavors of gerbil treats to its line of pet treats. Which of the following computations gives the number of additional orders in which Petsnacks will be able to arrange its treats on the shelf with the new line of gerbil treats than without the gerbil treats?
31. A tree farmer has exactly 3 kinds of trees on his farm: apple, cherry, and evergreen. Of these trees, 1/2 are apple, 1/3 are cherry, and 120 trees are evergreen. The farmer has how many trees on his farm?
32. What is the median of the list of 10 numbers below? 87, 85, 78, 94, 67, 97, 55, 81, 87, 99
33. A board 1_5_ inches by 3_5_ inches is 6_1_ feet long. You want to cut as many pieces as possible from the board so that each piece is 1_5_ inches by 3_5_ inches and 6 inches long. Each saw cut wastes 1_8_ inch of the board. How many 6-inch-long pieces will you be able to cut?
34. The probability that Event A will occur is 1/8. The probability that Event B will occur is 1/4. Given that Events A and B are mutually exclusive, what is the probability that Event A or Event B will occur?
35. What is the measure, in degrees, of an angle with a measure of 7π/9 radians?
36. As shown below, D is on side CE of rectangle ABCE such that the measure of ∠ADB is 90°. Which of the following angles must be congruent to ∠1?
37. The area of a circle is 64π square inches. What is the circumference, in inches, of the circle?
38. In the standard (x,y) coordinate plane, points A(2,3), B(4,0), and C(7,b) lie on the same line. What is b?
39. When a ≠ 0, which of the following is equivalent to 1/a + 2/3?
40. If Renée randomly takes 2 mints out of the jar to eat, what is the probability that both of these mints are green?
41. The number of decibels, d, produced by an audio source can be modeled by the equation d = 10 log 1__I___2, 10−12, where I is the sound intensity, in watts per square meter, of the audio source. What is the sound intensity, in watts per square meter, for an audio source that produces 100 decibels?
42. Which of the following expressions represents the straight-line distance, in meters, from B to N?
43. Which of the following expressions represents the volume, in cubic feet, of the new box?
44. How many pinto beans must be added to the jar in order to make the probability of drawing a kidney bean exactly _1_5?
45. What is the average daily rental fee, to the nearest dollar, of all 20 cars at this agency?
46. Which of the following is an expression for the area, in square centimeters, of the polygon?
47. Given that a is 5 and b is 7, which of the following inequalities gives all and only the possible values of c?
48. Which of the following expressions is equivalent to (x+i)(x−i)?
49. What is the measure of major arc ACE?
50. Which of the following expressions represents the length, in centimeters, of AC?
51. The length of CE during this movement will:
52. Which of the following expressions represents f−1(x)?
53. What is the largest value of a + b that has a factor of 3?
54. Which of the following is closest to the maximum possible percent of the seniors at the party who have summer jobs?
55. What is the minimum value of 2x − 3y given that x and y satisfy the system of inequalities below?
56. What is the value of _2_a__+_3_b_?
57. If t is any real number, which of the following statements must be true?
58. What is the value of log(a2b)?
59. Which of the following values is a possible value for b?
60. Which of the following expressions is equivalent to 2√3 •2•x•·√3 •x?