1. On Monday, Elsa put $40 in her empty lockbox. Each following Monday, Elsa will deposit $18 to her lockbox. Which of the following expressions gives the number of dollars in Elsa’s lockbox after Elsa’s deposit w weeks from now?
2. Raheem made a down payment of $250.00 at a local store for an HDTV that cost $880.00 with tax included. He arranged to make 8 equal monthly payments to the store to finish paying for the HDTV. Given that he paid no additional fees, how much was Raheem’s monthly payment?
3. What is 25% of 50% of 80?
4. In scientific notation, 0.00041 =?
5. What is the value of 5xy² when x=−2 and y=−4?
6. What is the value of |−8|−|7 −33|?
7. Given that a³aᴷ = a⁹ for all real numbers a, what is the value of k?
8. What is the least common multiple of 20, 30, and 130?
9. If f(x) =2x²+6x−7, then f(−3) =?
10. In the figure below, BE and CF intersect at point A. Points G and D are in the interiors of angles ∠BAF and ∠CAE, respectively. Some angle measures are given. What is the measure of ∠BAG?
11. Salma attended a concert on Friday. She arrived at the concert hall at 5:46 p.m. and left the concert hall at 11:27 p.m. How long was Salma at the concert hall?
12. Given that x ≤ 3 and x + y ≥ 5, what is the LEAST value that y can have?
13. In the figure below, parallel lines l and m are intersected by transversal n, forming the numbered angles. Which of the following congruence statements is NOT necessarily true?
14. What is the largest possible product for 2 even integers whose sum is 50?
15. The blood types of 150 people are determined for a study. The results show that 62 people have Type O blood, 67 have Type A blood, 15 have Type B blood, and the others have Type AB blood. If 1 person from this study is randomly selected, what is the probability that this person has either Type O or Type AB blood?
16. If x+y=26 and x−y=14, then y=?
17. The chart below shows the possible combinations of numbers that can land faceup when 2 numbered cubes are rolled at the same time. Each combination is equally likely. What is the probability of rolling the numbered cubes so that the sum of the numbers that land faceup is 8 or greater?
18. The graph of the function y = √−logx is shown in the standard (x,y) coordinate plane below. The function is defined for values of x strictly between which of the following pairs of numbers?
19. To increase the mean of 7 numbers by 3, by how much would the sum of the 7 numbers have to increase?
20. In the standard (x,y) coordinate plane, the line with equation y+1 = (3/4)(2x+8) has a slope of:
21. A parallelogram has a perimeter of 88 inches, and 1 of its sides measures 18 inches. If it can be determined, what are the lengths, in inches, of the other 3 sides?
22. Five friends play golf at a course that charges both an annual membership fee and a fee to play each round. Each point on the scatterplot below represents the number of rounds each person played during a year and the total fees the golf course charged that person. One of the following values is the fee to play each round. Which one?
23. Tomás wants to tile a rectangular floor with square tiles that measure 12 inches on a side. The floor measures 10 feet 6 inches long by 8 feet 6 inches wide. If he is able to cut the tiles without waste, what is the minimum whole number of tiles Tomás needs to completely cover the floor?
24. plane below, nABC is bounded by AB, AC, and the y-axis. Which of the following values is closest to the area, in square coordinate units, of nABC?
25. In right triangle nJKL, the right angle is at K, the length of JK is 10 cm, and sin,L = _5__. What is the value of cos,J?
26. John averages 60 miles per hour (mph) the 6 hours he travels from his house to Ling’s house. On his return trip, John experiences heavy traffic due to construction zones. He averages 36 mph the first 3 hours of his return trip. What is the average speed, in miles per hour, John must drive for the rest of the return trip for a return trip of 7 hours?
27. How many students surveyed at Western High School indicated chicken as their preference?
28. What is the measure, to the nearest 1°, of the central angle of the sector that represents the number of students at Western High School who indicated pizza as their preference?
29. What percent of students at Central High School indicated chicken as their preference?
30. What will be the length, in inches, of the bar that Jermaine will place?
31. What is the probability that the coin lands tails side up and the wheel stops on the green section?
32. Which one is the period, in seconds, of the function that models the volume of air in the lungs during normal breathing?
33. If f(x) = 5x and g(x) = −2, then −f_g(x) + =?
34. Which of the following values is closest to the area, in square inches, of the shaded region?
35. Which of the following equations gives the relationship between n, the formation number, and b, the number of band members in that formation?
36. What is the least whole number of minutes a customer could use in 1 month to make Plan A less expensive than Plan B for that month?
37. Which of the following expressions is equivalent to √4 • 8 • 1 • x • 1 • 6?
38. What is the height, in feet, of the pyramid with a volume of 144 cubic feet?
39. What is the value of 1 + 1 + 1 + 1?
40. What are all the real solutions to the equation |1 − 2x| = 3?
41. For what value of a would the following system of equations have an infinite number of solutions?
42. In the equation ax + b = 0, when a, x, and b are integers and x and b are positive, a must be:
43. Given the complex numbers 2 − i and 2 + i, which of the following expressions is equal to √•(2••−••i)•(•2•+••i•)?
44. Which of the following fractions is closest to 0?
45. What is the value of a?
46. The vertices of nABC are A(−3,3), B(−3,1), and C(−1,1). The triangle is translated by x′=x+5 and y′=y−2. The image of (x,y) on nABC is (x′,y′) on nA′B′C′. The vertices of nA′B′C′ lie in which quadrant(s)?
47. Which of the following expressions represents the straight-line distance, in miles, from Jennifer’s home to school?
48. Which of the following is an equation of the horizontal asymptote of f(x)?
49. What is the area, in square feet, of the shaded region (the region outside the rhombus and inside the ellipse)?
50. Which of the following expressions gives the measure of ∠EBC?
51. Which of the following intervals contains the value of e for this ellipse?
52. Which of the following equations is a correct explicit formula for the sequence?
53. How many of the smaller blocks must be stacked together to create an arrangement with the same volume as 1 larger block?
54. What is the determinant of the matrix?
55. In total, how many digits will be painted for all 150 parking spaces?
56. How many seating arrangements are possible for 5 people to sit in the 5 seats of a car if 1 person sits in each seat and only 3 of the 5 people can sit in the driver’s seat?
57. Which of the following phrases describes every value of a?
58. Which of the following categories most precisely describes this quadrilateral?
59. In the polynomial expansion of (x + y)5, what is the coefficient of the x2y3term?
60. If the drawn ball is yellow, what is the probability that it will have a star on it?