1. The numbers 1 through 15 were each written on individual pieces of paper, 1 number per piece. Then the 15 pieces of paper were put in a jar. One piece of paper will be drawn from the jar at random. What is the probability of drawing a piece of paper with a number less than 9 written on it?
2. Which of the following expressions is equivalent to −4x^3−12x^2+9x^2?
3. When x=2, 10 +3_12 ÷(3x)+=0?
4. ⎪6 −4⎪−⎪3 −8⎪=?
5. Of the 180 students in a college course, 1/4 of the students earned an A for the course, 1/3 of the students earned a B for the course, and the rest of the students earned a C for the course. How many of the students earned a C for the course?
6. Katerina runs 15 miles in 2 1/4 hours. What is the average number of minutes it takes her to run 1 mile?
7. A bag contains 8 red marbles, 9 yellow marbles, and 7 green marbles. How many additional red marbles must be added to the 24 marbles already in the bag so that the probability of randomly drawing a red marble is 3/5?
8. What is 3% of 4.14 × 10^4?
9. What value of x satisfies the equation −3(4x −5) = 2(1 − 5x)?
10. In right triangle ABC shown below, what is sin(A)?
11. Which of the following does NOT appear in the figure?
12. Loto begins at his back door and walks 8 yards east, 6 yards north, 12 yards east, and 5 yards north to the barn door. About how many yards less would he walk if he could walk directly from the back door to the barn door?
13. What is the slope of a line, in the standard (x,y) coordinate plane, that is parallel to x +5y =9?
14. The set of all positive integers that are divisible by both 15 and 35 is infinite. What is the least positive integer in this set?
15. In triangle ABC shown below, the measure of ∠A is 58°, and AB ≅ AC. What is the measure of ∠C?
16. About 1.48×10^8 square kilometers of Earth’s surface is land; the rest, about 3.63×10^8 square kilometers, is water. If a returning space capsule lands at a random point on Earth’s surface, which of the following is the best estimate of the probability that the space capsule will land in water?
17. On the first 7 statistics tests of the semester, Jamal scored 61, 76, 79, 80, 80, 84, and 91. The mean, median, and mode of his scores were 79, 80, and 80, respectively. On the 8th statistics test, Jamal scored 90. How do the mean, median, and mode of all 8 of his scores compare to the mean, median, and mode of his first 7 scores?
18. One side of square ABCD has a length of 12 meters. A certain rectangle whose area is equal to the area of ABCD has a width of 8 meters. What is the length, in meters, of the rectangle?
19. The average of a list of 4 numbers is 92.0. A new list of 4 numbers has the same first 3 numbers as the original list, but the fourth number in the original list is 40, and the fourth number in the new list is 48. What is the average of this new list of numbers?
20. Four identical glasses are shown below. One glass is empty, and the other 3 glasses are 1/4 full, 1/2 full, and 3/4 full of water, respectively. If the water were redistributed equally among the 4 glasses, what fractional part of each glass would be filled?
21. Aurelio is purchasing carpet tiles to cover an area of his living room floor that is 8 1/2 feet wide by 10 feet long. Each carpet tile is a square 20 inches wide by 20 inches long. What is the minimum number of carpet tiles that Aurelio must purchase to cover this area of his living room floor?
22. In the standard (x,y) coordinate plane, a circle with its center at (8,5) and a radius of 9 coordinate units has which of the following equations?
23. It cost $2,500 to administer each Yq test and $50 to administer each Sam77 test. What was the total cost to administer both tests to all the volunteers?
24. Regardless of how the graph is oriented in the standard (x,y) coordinate plane, which one of the following categories has a vertical line of symmetry?
25. The equation 24x^2 + 2x = 15 has 2 solutions. What is the greater of the 2 solutions?
26. Which of the following expressions is equal to (sin 60°)(cos 30°) + (cos 60°)(sin 30°)?
27. What is the area, in square units, of a circle that has a circumference of 12π units long?
28. Mary, James, and Carlos sold 1-page advertisements for the school yearbook. Mary sold twice as many as Carlos did, and James sold 3 times as many as Mary did. What fraction of these advertisements did Carlos sell?
29. In terms of a and b, what is the area, in square coordinate units, of nMPQ?
30. Point M will remain fixed, and point Q will move to the right along the x-axis. As Q continues to move to the right, which of the following statements describes what will happen to the slope of MQ?
31. The 12 jurors will be selected from a jury pool of about 60 people. If only 40% of the people who are summoned for jury duty actually appear, how many people should be summoned to have as close as possible to 60 people in the jury pool?
32. If i=√(-1), then i+i^2+i^3+i^4+i^5=?
33. A cosine function is shown in the standard (x,y) coordinate plane below. One of the following equations represents this function. Which one?
34. At a certain moment, the kite string forms an angle of elevation of 75° from point A on the ground. At the same moment, the angle of elevation of the kite at point B, 240ft from A on level ground, is 45°. What is the length, in feet, of the string?
35. If a publisher charges $15 for the first copy of a book that is ordered and $12 for each additional copy, which of the following expressions represents the cost of y books?