1. What is the probability of randomly drawing a marble that is NOT green and is NOT blue?
2. What is the value of x in the equation _3_ = x + _1_?
3. (3a6b)(7a3b9) is equivalent to:
4. How many transactions of exactly 3 video rentals were made during the month of July?
5. What portion of the total price did Jana pay?
6. If f(x) = (5x + 3)2, then f(1) =?
7. Given that 3 of the numbers are 3, 6, and 7, what is the remaining number?
8. Given that the coordinates of Q are (1,2), what are the coordinates of N?
9. What is the value of ⎪−3⎪−⎪7 − 49⎪?
10. Which of the following values is closest to the area, in acres, of the rectangular region?
11. 52x−2y47 −1 is equivalent to:
12. Which of the following values is closest to the length, in centimeters, of the longest side of the triangle?
13. At what point do the graphs of y=x and x+y=10 intersect?
14. What is the seventh term of the sequence 24, 12, 6, 3?
15. Which of the following is a possible value of s?
16. Which of the following lines goes through (0,2) and is parallel to y=−5x+7?
17. What is the slope of the line that contains the points (6,−1) and (4,3)?
18. If 8y=3x−5, then x=?
19. How many gallons of water are left in the tank?
20. Which of the following expressions is equivalent to 3(a+b) −5(a−2b)?
21. What is Trish's combined test score?
22. Which of the following expressions is equal to √3 •2•4•?
23. Norah invited 4 friends to a table tennis party. Each of the 5 people at the party played every other person exactly 1 time. The table below shows the number of games won by each player except Norah. There were no ties. How many games did Norah win?
24. A parallelogram has a perimeter of 80 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?
25. Door clear widths, in feet, of 5 elevator cars with centered doors built before 2010 are listed below. 3.5, 3.6, 3.8, 3.2, 2.8 How many of the elevator cars do NOT meet the 2010 ADA standard for minimum door clear width?
26. An elevator car with centered doors has a door clear width that is 8% wider than the minimum distance required by the 2010 ADA standard. Which of the following distances, in inches, is closest to the door clear width of the elevator car?
27. A local college will construct a 2-floor building next year. Each of the 5 classrooms on the 1st floor will have 20 seats, and each of the 8 classrooms on the 2nd floor will have 35 seats. To comply with the 2010 ADA standard, what is the fewest total number of wheelchair spaces needed in the 13 classrooms?
28. A paint researcher collected the following data about the relationship between the paint level in a paint can and the surface area painted from this can. Assume there is a linear relationship between x and y. Which of the following is an equation showing this relationship?
29. Which of the following sentences is true about the 2 nonright angles of any right triangle?
30. The temperature in Chicago was −4°F at noon and rose 24°F by 3:00 p.m. The temperature in New Orleans was 42°F at noon and dropped 24°F by 3:00 p.m. How did the temperatures in Chicago and New Orleans compare at 3:00 p.m.?
31. In the figure below, AB and CE intersect at O, OC bisects ∠BOD, and the measure of ∠AOD is 40°. What is the measure of ∠AOE?
32. The entire length of a rope is coiled into 6 circular loops, each with a diameter of 10 inches. Which of the following is closest to the length, in inches, of the rope?
33. Given the matrix equation below, what is the value of ab?
34. In right triangle nABC, the right angle is at B, and sin,A= _1_2_. What is the value of tan,C?
35. During rehearsal for the Founders’ Day choir program, the director, Mrs. Mazurek, tried 3 different configurations, each using all the choir members at the rehearsal. One configuration was to have only rows of 12, one was to have only rows of 15, and one was to have only rows of 20. None of these configurations worked because for each, the last row had 1 person less than the other rows. What was the least of the possible numbers of choir members at the rehearsal?
36. The equation x² + P = 0, where P is an integer, has 2 integer solutions for x. Which of the following is a possible value of P?
37. Of the 17 members of Xavier High School’s honor society, 1 member will be chosen at random to attend a conference. The table below shows the number of honor society members according to class and whether they are in their first or second year in the honor society. What is the probability that the member chosen will NOT be a senior who is in his or her second year in the honor society?
38. Given x = 4y and y = 2z, which of the following expressions is equivalent to x+4y−8z in terms of z?
39. For i=√−••1, (3 +i)2=?
40. Define the functions f(x) and g(x) such that f(x) = 2x and g(x)=√•x•+••3•. For all x such that x≥−3, which of the following expressions is equal to f_g(x)+?
41. In a small high school with 20 seniors, 8 of the seniors are in soccer, 9 of the seniors are in band, and 5 of the seniors are in both. How many seniors are in neither soccer nor band?
42. For any real number x such that x<−5 in the equation below, which of the following statements must be true of the number represented by y? y=−√•x•+••5•
43. What is the average yearly change in population from January 1, 2003, to January 1, 2005?
44. If 175 cubic feet of salt are poured into the bin and leveled, how many feet of the bin will be filled?
45. One of the following graphs is the graph of y≤ax+b for some positive a and positive b. Which graph?
46. What is the mean of the 90 ratings?
47. Which statistical measures was most likely used to determine this result?
48. What will be the length, in feet, of the fence surrounding Harold’s garden?
49. What will be the area, in square feet, of Harold’s garden?
50. What is the measure of the angle labeled θ in the scale drawing of the garden?
51. What is the solution of the equation log √3•x•+•4• =1?
52. For the functions f(x) = 4x + 12 and g(x) = 1/x, what is the set of real numbers x on which g_f(x)+ is defined?
53. What is the total number of times the 2 alarms beep in those t minutes?
54. If it can be determined, which of the following inequalities must be true?
55. Which of the following expressions gives the area, in square inches, of MNPT?
56. For all distinct nonzero values of x and y, which of the following expressions is equivalent to x/y −1?
57. When cos,a° = b, which of the following expressions is equivalent to cos(2a°)?
58. Which of the following expressions represents the area, in square centimeters, of nABC?