1. A retail sales associate’s daily commission during 1 week was $20 on Monday and Tuesday and $60 on Wednesday, Thursday, and Friday. What was the associate’s average daily commission for these 5 days?
2. In the figure below, C is on BD, ∠BAC measures 35°, and ∠ABC measures 95°. What is the measure of ∠ACD?
3. Wally buys dog collars online for $4 each. The shipping and handling fee is $5 total, regardless of the number of dog collars ordered. Which of the following equations represents the relationship between x, the number of dog collars ordered, and y, Wally’s total bill in dollars?
4. A certain rectangle has a width of 6km and a length that is 4km more than 2 times the width. What is the area, in square kilometers, of this rectangle?
5. ⎪4 −3⎪−⎪2 −5⎪=?
6. (8p−3q) −(2q+6p) is equivalent to:
7. How many minutes would it take an airplane to travel 300 miles at a constant speed of 400 miles per hour?
8. The expression _x10+4 is equivalent to:
9. Which of the following equations gives a function f(x) that satisfies f(4) = 9?
10. On the first day of school, Mr. Thibodeaux gave his third-grade students 9 new spelling words to learn. On each day of school after that, he gave the students 6 new spelling words. How many new spelling words had he given the students by the end of the 30th day of school?
11. What is the solution to the equation _3_x_−__6_ +5 =18?
12. While her mother drives their car along the highway, Mia is noticing some of the mile marker signs. She sees mile marker 117 at noon, and exactly 20 minutes later she sees mile marker 97. What is the average speed, in miles per hour, of their car over these 20 minutes?
13. Numbered below are the 14 angles formed by parallel lines l and m and transversals p and q. Lines l, p, and q intersect at a single point. Which of the following congruence statements must be true?
14. A section of highway is represented by a line segment with endpoints (30,50) and (90,100) in the standard (x,y) coordinate plane. Exactly halfway along this highway section is a road sign. What are the coordinates of the road sign?
15. The Student Council is preparing a budget for an upcoming fund-raising dance. They have decided to spend $150 for a light and sound show, $400 for refreshments, and $50 for decorations. These are the only expenses. Given that the Student Council estimates 500 students will attend the dance, what should be the price, per student, for admission to the dance if the Student Council wants to raise as close as possible to $300 after paying expenses?
16. The following shapes are a circle and some regular polygons that have their centers marked. All units are given in feet. Which of these shapes has the greatest area?
17. Last semester, each of the 4 students listed below took 6 classes worth 1 credit each. In the 1st matrix, the row corresponding to each student gives the counts of the letter grades earned by that student. The second matrix gives the point value of each letter grade. The grade point average of each student is the total number of grade points earned by that student divided by that student’s total number of class credits. To the nearest 0.01, what is Ann’s grade point average?
18. A circle with the equation x² + y² = 16 is graphed in the standard (x,y) coordinate plane. At what points does the circle intersect the x-axis?
19. JoAnna drives a route that is exactly 450 miles from Little Rock, Arkansas, to Mobile, Alabama. JoAnna has already driven 180 miles at an average speed of 60 miles per hour. What is the minimum average speed, in miles per hour, that JoAnna can drive for the remainder of the route and have a driving time of 9 hours for the entire trip?
20. What is the least positive number that has a remainder of 3 when divided by 5 and a rema...
21. Kate could not build the snowman until there was 6 inches of snow on the ground. At how many hours after 8:00a.m. yesterday was there exactly 6 inches of snow on the ground?
22. When Kate built the snowman, the circumference of the larger snowball was 36π inches. When Kate built the snowman, what was the diameter, in inches, of the smaller snowball?
23. What is the probability that the snowman will melt today?
24. What is pˆ, the sample proportion, for this sample?
25. If both watches are set correctly at noon, after how many hours will the times shown by the watches be exactly 1 hour apart?
26. The difference between the volume of Prism A and the volume of Prism B is how many times the volume of Prism C?
27. Which of the following is the complex conjugate of 2 + 7i?
28. What is the value of f_g(-3)?
29. Which of the following is equivalent to (2/3)A^2B + (6/A)B^2 for all nonzero real numbers A and B?
30. Which of the following expressions is equivalent to 0.0002n?
31. Which of the following lists gives the numbers below arranged in order from least to greatest?
32. What is the probability that the number formed will be 99?
33. What is sin(θ) if tan(θ) = 5/√39?
34. Which of the following expressions is equivalent to (y + 8)³?
35. What is the average of this new list of numbers?
36. Which of the following number line graphs is that of the solution set to the inequality -2x + 7 ≥ 19?
37. Which of the following represents the area, in square centimeters, of the shaded region?
38. How many inches less is the perimeter of Rectangle A than the perimeter of Rectangle B?
39. Which of the following is equivalent to (x⁴)⁴(x⁵)⁵?
40. If each cut is exactly 1/8 inch wide, how long, in feet and inches, is the third piece?
41. How many callers received both a T-shirt and a concert ticket?
42. How many units of Country A’s currency will Maria receive when she exchanges y United States dollars?
43. In the figure shown below, nACB is a right triangle with a right angle at C. Point D is on BC, m∠ADC = 60°, m∠ABC = 30°, and BD = 100 feet. What is the length, in feet, of AC?
44. A relation pairs elements in the domain with elements in the range. The table below defines a relation where the domain is represented by the x-values and the range is represented by the y-values.
45. Only juniors and seniors are enrolled in Algebra III. There are 3 juniors for each senior. On an Algebra III test, 80% of the juniors and 70% of the seniors passed. What percent of the students enrolled in Algebra III did NOT pass the test?
46. How many of the 50 polled shoppers owned at least 1 dog but did NOT own at least 1 cat?
47. One of the 50 polled shoppers will be selected at random. What is the probability that the selected shopper owned at least 1 dog or cat?
48. Which of the following expressions gives the value of g in terms of t?
49. Which of the following expressions gives the value of x in terms of b?
50. What is the probability that the first student who draws will have a seating location that is in Row 5, but NOT in Seat 1?
51. What is the value of log5(625)?
52. The inequality 7x^2y < 0 is true for 2 fixed real numbers x and y. Which of the following inequalities must be true?
53. Given that c≠d, what are all the real values of b that make the inequality (b/c - b/d)/(6c - 6d) < 0 true?
54. For all negative values of k, what is the range of values of 2k?
55. For all triangles with sides of length a, b, and c opposite angles of measure A, B, and C, respectively, which of the following equations must be true?
56. Event A consists of 6 simple events. Event B consists of 3 simple events, none of which are in Event A. Event C is the union of A and B, and Event D is the intersection of A and B. Which of the following statements is true?
57. The base of a right square pyramid has a side length of 20 ft. The pyramid’s slant height is 15 ft. What is the total surface area, in square feet, of the pyramid?
58. For how many integers x is the value of the expression (x−1)(x−4) a positive prime number?
59. Which of the following degree values of x is NOT in the domain of the function below? f(x) = 1/(1 + sec x)
60. The function below is defined for constants a and b and for all positive integers n. r(n) = ab^n. It is known that r(1) = 1, r(2) = 3, r(3) = 9, and r(4) = 27. Which of the following functions is equivalent to r(n)?