1. Given 4x−9 =6x−15 is true, x=?
2. In the figure below, parallel lines m and n are cut by transversal line t, and 2 angle measures are given. What is the value of x?
3. The 1st term in the geometric sequence below is −9. If it can be determined, what is the 6th term? −9, 18, −36, 72, −144, …
4. A yogurt shop has 6 flavors of yogurt and 5 toppings. Each sundae consists of 1 yogurt flavor and 1 topping. Given that Takoda has a preference of 1 flavor of yogurt and 1 topping from those available in the shop, what is the probability that Jaylen will choose the topping and yogurt that Takoda prefers?
5. How many minutes would it take a ship to travel 100 miles at a constant speed of 40 miles per hour?
6. A fan has 3 evenly spaced blades of negligible thickness, as shown below. What is the measure of an angle between 2 blades?
7. |6 −5|−|3 −7|=?
8. Which of the following values is the solution to the equation below? (2/x)+(1/4)=(8/3)
9. What is the volume, in cubic inches, of a sphere with a diameter of 10 inches? (Note: The volume of a sphere, V, with radius r is given by the formula V=4/3 πr³.)
10. A rhombus is a quadrilateral with all 4 sides of equal length. One of the following points is the location of the 4th vertex of this rhombus. Which one?
11. For an architecture class project, Lizette is making a scale drawing of Mr. Patel’s classroom, which is rectangular with a width of 25 feet and a length of 30 feet. Lizette draws a 3-inch line segment to represent the width of the rectangle. How long a line segment, in inches, should Lizette draw to represent the length of the rectangle?
12. In the standard (x,y) coordinate plane, a line intersects the y-axis at (0,3) and contains the point (9,4). What is the slope of the line?
13. Of the following equations, which are functions?
14. If (x+k)²=x²+88x+k², then k=?
15. Which of the following expressions is equal to 1/3 + 1/9 + 1/10?
16. Each side of square ABCD has a length of 20 ft. A certain rectangle whose area is equal to the area of ABCD has a width of 10 ft. What is the length, in feet, of the rectangle?
17. In Amul’s yard, there was no snow on the ground at 10:15 a.m. From 10:15 a.m. until 3:30 p.m., it snowed at an average rate of 1/2 inch per hour. How many inches of snow were on the ground at 3:30 p.m.?
18. On each of 8 tests, Gustav scored 2 points higher than Russ. When their average test scores on these 8 tests are compared, how many points higher is Gustav’s average than Russ’s average?
19. Which of these data sets has the greatest interquartile range?
20. A surveyor is standing on ground that is level with the base of the cell phone tower. From the point on the ground where the surveyor is standing, the angle of elevation to the top of the tower is 40°. The distance from the surveyor to the tower is 200 feet. What is the height, in feet, of the tower?
21. Given x+y=30 and x−y=18, what is the value of y?
22. Let m and n be positive numbers such that m < n. Which of the following expressions has the greatest value?
23. Given that sin,A = _2_4_, which of the following values could tan,Aequal?
24. On the local car dealer’s lot, there are only 25 cars with power windows and only 17 cars with heated seats. The number of cars on the lot with both power windows and heated seats must be:
25. To determine the number of fish in a pond, a biologist catches a random sample of 200 fish, tags them, and releases them back into the pond. A week later, the biologist catches a random sample of 120 fish from this pond, and 32 of them have tags. Which of the following is the best estimate of the number of fish in the pond?
26. Isabelle divided a sum of money among 4 types of investments as shown in the pie chart below. Given that $100 was invested into a savings account, what amount, to the nearest $10, did she invest in equities?
27. A jar of solid-colored marbles contains some yellow marbles, 21 blue marbles, 40 red marbles, and 14 green marbles. The probability of randomly drawing a green marble is _2__. How many yellow marbles are in the jar?
28. Dai traveled to 3 locations during a workday. Dai remained at each location a whole number of hours. The graph below shows the relationship between time, in hours, into his workday and total distance, in miles, traveled. Which of the following values is closest to Dai’s average speed, in miles per hour, for the parts of the workday when he was traveling?
29. What is the positive difference between the given values of average distance from the Sun for Mars and for Mercury?
30. According to the table, which of the following expressions is equal to the difference, in feet per second per second, between the gravitational acceleration of an object near the surface of Venus and the gravitational acceleration of an object near the surface of Mercury?
31. According to the model T = 0.4D1.5, which of the following expressions is equal to Mercury’s orbital period in Earth days?
32. To the nearest integer, what is the average surface temperature, in kelvins, of Mars?
33. At 12 midnight the center of a hurricane is 360 miles from the coast of Miami. The hurricane has an approximate radius of 120 miles and is currently approaching the Miami area at 30 miles per hour. If the hurricane keeps its current conditions, what time, to the nearest hour, will the leading edge of the hurricane first reach Miami?
34. The square has sides that are 12 feet long, and 1 side of the square is a diameter of the circle. The shaded region is to be refinished at a cost of $6.25 per square foot. The cost of the refinishing is closest to which of the following?
35. Given that the equation _3_x_−__y_ = _2_ is true, what is the value of _x_?
36. Julia will serve grape juice from 12-ounce cans at her graduation party. She already has 3 boxes that each contain 12 such cans. How many more 12-ounce cans of grape juice does Julia need to have exactly enough juice to serve 60 guests 8 ounces each?
37. On a typical day at Limestone College, _3_ of all students ride a bicycle to class. Among the rest of the students, _1_ ride the bus and _1_ walk. On a typical day, what fraction of the students ride the bus to class?
38. Vectors u and v are shown in standard position in the standard (x,y) coordinate plane below. Which of the following vectors in standard position in the standard (x,y) coordinate plane is v−u?
39. What is the total revenue from entry fees, in dollars, written in scientific notation?
40. Which of the following expressions gives the total amount of minutes that it took Kirk to run the race?
41. Which of the following expressions is equal to the probability that the selected person did NOT finish the race?
42. For the real number x, which of the following statements is true about the solutions of the equations below?
43. What is the total number of white cubes that were used to build the prism?
44. Which of the following equations represents the axis of symmetry of this parabola?
45. What is the 330th digit after the decimal point in the repeating decimal 4.6238?
46. __a___ + __b___ + _a_−__b_ =?
47. Counting repetition, how many prime factors appear in any prime factorization of the integer (63)5?
48. What is the value of xy?
49. What is the sum of the y-intercepts of the functions?
50. How many square inches of the tablecloth are red?
51. What is (ae b) ★b?
52. What relationship must exist between y and k?
53. Which of the following numbers is a solution to the equation 3x2+x+5 =0?
54. Which equation is that?
55. What is the measure of ∠ABC?
56. How many ordered triples (a,b,c) satisfy the 3 statements?
57. Which of the following expressions represents the measure of ∠B?
58. Which one represents the domain of f−1(x)?