1. Which of the following expressions is equivalent to a(5 − a) − 8(a + 6) ?
2. What is the new room rate after raising $80.00 by 20%?
3. Which of the following matrices is equal to 5?
4. What was the associate’s average daily commission for these 5 days?
5. What value of x makes the equation −x + 6 = 3x − 10 true?
6. What is the maximum number of minutes Fred could use in 1 month without exceeding his budget?
7. To the nearest 0.1°F, what Fahrenheit temperature corresponds to 13.0°C?
8. What number, when added to 1/3, gives a sum equal to the sum of 1/4 and 1/6?
9. What is the distance, in centimeters, between T and the midpoint of RS?
10. From what year to the following year did the average daily consumption decrease the most?
11. What will the fencing for the field cost?
12. What is the height, in feet, of the stone exactly 3 seconds after being thrown?
13. What is the median of the data set 4, 8, 14, 4, 20?
14. What actual length does DE represent in the park?
15. What is the measure of ∠BCD?
16. The number a is positive and even. The number b is negative and odd. The number a − b is:
17. What is the length of the altitude that splits the triangle?
18. For all nonzero values of a, the expression a²/a⁴ is equal to:
19. What angle does the wire make with the level ground?
20. What is the minimum number of toys she can make and sell to earn a profit of at least $81.00?
21. What is the value of f(g(−3))?
22. What is the value of 2z + w?
23. What is the sum of the 2 possible values of x in x² − 5x − 6 = 0?
24. Each student in a particular classroom was given a string that was 72 inches long. Each student cut his or her string into pieces of equal length. Which of the following CANNOT be the length, in inches, of any student’s pieces?
25. The graph of the function f(x) =−9(x +1)2 +81 has its vertex at point (−1,81) and intersects the x-axis at points (−4,0) and (a,0). What is the value of a?
26. What fraction of 4 _1_ is 2 _1_?
27. What is the least positive number that has a remainder of 4 when divided by 6 and a remainder of 5 when divided by 7?
28. Joe, Tom, and Alexis are planning to participate in a 3-person relay for charity. The plan is for Joe to jog his 3 miles at 4 miles per hour (mph), Tom to jog his 3 miles at 5 mph, and then Alexis to jog her 3 miles at 6 mph. In how many hours and minutes does this 3-person team plan to complete the 9-mile relay?
29. Let θ be an acute angle of a right triangle. Given sin θ= a and tan θ= a, cos θ=?
30. The number line shown below is marked in equal intervals. Two fractions are indicated on the number line. One of the following fractions corresponds to the point marked P. Which one?
31. The graph in the standard (x,y) coordinate plane below has 5 lines of symmetry that all intersect at the origin. What is the smallest positive clockwise rotation about the origin that can be applied to this graph with the result being this graph?
32. The following linear functions are defined either with an equation, a graph, or a table of values. Which of the following functions has the greatest slope?
33. The vertices of nPQR are given in the standard (x,y) coordinate plane below. What is the area, in square coordinate units, of nPQR?
34. The function y = f(x) = _5_ is graphed in the standard (x,y) coordinate plane below. One of the following statements is FALSE. Which one?
35. All students in a high school responded either 'Yes' or 'No' to the question 'Are you studying enough?' The table below gives the number of students in each grade who responded. Two numbers in the table are represented by x and y. The probability that a randomly selected student from this high school is in 11th grade given that the student responded 'No' is _7_5__ . One of the following is the value of x. Which one?
36. What is the ratio of the area of the circle modeled by the top edge of the lampshade to the area of the circle modeled by the bottom edge of the lampshade?
37. In order to design her lampshade, Josie must select 1 print design and 1 color scheme from the website. She will also choose 1 fabric: burlap, linen, or silk. How many different possible lampshade designs does she have to choose from?
38. Which of the following 2-dimensional shapes, when rotated about its vertical symmetry line, will form the shape of this lampshade?
39. The points K, L, M, and N are on a number line in that order such that KM = 15 units, LN = 26 units, and KN = 32 units. The coordinate of L is 0, and the coordinate of K is negative. What is the coordinate of M?
40. The figure below shows 3 rectangles where a, b, c, d, e, and f are side lengths measured in meters. Which of the following expressions must give the area of the shaded region, in square meters?
41. Rectangular pyramids A (left) and B (right) are shown below with dimensions given in feet. Let a and b be the volumes of A and B, respectively. Which of the following equations is true?