1. The 1st term in the geometric sequence below is −13. If it can be determined, what is the 6th term? −13, 26, −52, 104, −208, …
2. In the standard (x,y) coordinate plane, point A has coordinates (−7,−5). Point A is translated 7 units to the left and 5 units down, and that image is labeled A′. What are the coordinates of A′?
3. Olga worked on a project for 4_1_ hours on each of 6 workdays. On the 7th day of working on the project, Olga worked _1_ of the time she had worked each of the 3 previous workdays to complete the project. How many hours did it take Olga to complete the project?
4. Given that 5 pounds of coffee makes exactly 210 servings, how many pounds of coffee makes exactly 70 servings?
5. For RT shown below, point S is on RT, the length of RS is 10 cm, and the length of ST is 18 cm. What is the distance, in centimeters, between T and the midpoint of RS?
6. For all real values of p and r, which of the following expressions is equivalent to p(2 − r) + 8(p − r)?
7. Fifty shoppers at a pet store were asked if they owned at least 1 cat or at least 1 dog. Data from their answers were recorded below. Ownership Number of shoppers Cat(s) only 13 Dog(s) only 24 Both cat(s) and dog(s) 07 How many of these shoppers said that they owned NEITHER a cat NOR a dog?
8. Yvette has 6 pairs of leggings, 2 pairs of shoes, and 6 T-shirts, which all go together well. How many different groupings consisting of 1 of her 6 pairs of leggings, 1 of her 2 pairs of shoes, and 1 of her 6 T-shirts are available for Yvette to wear?
9. According to the United States Department of Commerce, the approximate area of Rhode Island is 1.5 × 10^3 square miles and the approximate area of Alaska is 6.6 × 10^5 square miles. Using these measurements, which of the following is closest to the ratio of the area of Alaska to the area of Rhode Island?
10. Rectangle A has a length of 64 inches and a width of 48 inches. Rectangle B has a length and a width that are both _3_ times the length and the width of Rectangle A. Rectangle C has a length and a width that are both _3_ times the length and the width of Rectangle B. What is the perimeter, in inches, of Rectangle C?
11. The expression x^6 + 3 is equivalent to:
12. A king-sized inflatable rectangular bed when fully inflated will have inside dimensions, in inches, of 78 by 75 by 5. An air pump can pump air into the bed at a rate of 100 cubic inches per second. At that rate, which of the following is closest to the number of seconds it will take to fully inflate the bed?
13. Jake wants to build a scale model of his house. The house is 48 feet long and 32 feet wide, and it is 30 feet tall at the highest point. Jake wants the model to be 8 inches long. How wide, in inches, should his model be?
14. You see a circle graph in a newspaper article about student employment, but no percentages are given for the sectors. You want to use the information contained in the graph in a report for your sociology class. You measure the central angle of the sector titled “work during the week” with your protractor, and it measures 144°. According to the circle graph and your measurement, the “work during the week” sector is what percent, to the nearest percent, of the circle graph?
15. Josiah stands on level ground 15 ft from the base of a cliff. The angle of elevation from where Josiah is standing to the top of the cliff is 50°, as shown below. Which of the following values is closest to the height, in feet, of the cliff?
16. Consider the line 3x − 4y = 6 in the standard (x,y) coordinate plane. For the point on this line with x-coordinate equal to 3, what is the y-coordinate?
17. What is the solution set to the equation x^2 − x = 12?
18. The vertices of triangle PQR are given in the standard (x,y) coordinate plane below. What is the area, in square coordinate units, of triangle PQR?
19. In the standard (x,y) coordinate plane, a line intersects the y-axis at (0,2) and contains the...
20. One of the following values for a makes the expression -2/a + 5 undefined. Which one?
21. What is the least positive number that has a remainder of 3 when divided by 5 and a remainder of 7 when divided by 9?
22. How many seconds elapse from the moment the 2 signs flash at the same time until they next flash at the same time?
23. What is the probability that the selected number will be an element of set B and an element of set C?
24. What rational number is exactly halfway between -3/16 and -7/32 on the real number line?
25. What is the area, in square coordinate units, of this circle?
26. What is the probability that an 8 is rolled both times?
27. What is the coefficient of the x^4 term when (3x - 2)^4 is expanded?
28. What distance, in feet, from the fulcrum must Tia sit in order for Bo and Tia to balance perfectly on the seesaw?
29. What is the value of 9x - 2?
30. What is the area, in square feet, of the shaded region where Ally is planting flowers?
31. What is the length, in meters, of the radius of Circle C?
32. What is the complex conjugate of the number 2 + 3i?
33. How many items must Company A sell to break even?
34. Which of the following statements shows that any subtraction can be written instead as an addition?
35. What is the value of √(9/4) - (−√(1/8))?
36. What is h_f(x) +?
37. What is the cosine of ∠KJL?
38. What is the area, in square feet, of the 4th element?
39. What is the value of (4 ⊗ 3) ⊗ 5?
40. The number ab is:
41. According to the mileage reading, what distance, in miles, did the truck travel on June 20?
42. From June 17 through June 21, the average of the "Hours away" was 5.50 hours. To the nearest 0.01, what is the value of "Hours away" when Ben was driving the truck?
43. In triangle ABC shown below, the given side lengths are in meters. What is the area, in square meters, of triangle ABC?
44. The value of log(x), to the nearest 0.1, is given in the table below for 4 different values of x. To the nearest 0.1, what is the value of log(3 × 105,000)?
45. Susan completed 20 courses in college and her grade point average was 3.15 (A = 4.0 and B = 3.0). If all of her grades were A’s or B’s, and each course grade carried equal weight, what is the number of A’s that Susan received?
46. The right semicircular cylinder shown below has a height of 5 centimeters and a semicircular base of radius 3 centimeters. What is the volume, in cubic centimeters, of the right semicircular cylinder?
47. For positive real numbers M and N, log M/N = ?
48. For what real number b, if any, will the equation a - 2b + ab = 2 be true for both a = 1 and a = -1?
49. Terri will hang 1 dress of each style along a rod in the window of her store. How many total possible orders (permutations) of these dresses are there for Terri to consider?
50. Terri will offer a coupon in the local newspaper for 20% off the regular price of a dress. What is the regular price Terri must set for a Style B dress so that the sale price using the coupon is exactly $15.00 more than the cost of producing 1 Style B dress?
51. The labor cost of each dress is 40% of the production cost. What is the average labor cost per dress for 1 dress of each of the 5 styles?
52. It took 0.5 second for an object to travel 60.5 feet. To the nearest 0.01 mile per hour, what was the speed of the object? (Note: 1 mile = 5,280 feet)
53. One of the following vectors is equal to the vector u + v. Which one?
54. Given that r ≠ s, what is the positive difference of r and s for the shaded square intersecting the lines y = rx and y = sx?
55. Which of the following descriptors will most likely characterize the distribution of the 15,000 recorded numbers from a random number generator that generates an integer 1 through 6?
56. The expression |5 - 2| + |3 - (-4)| gives the h-v distance between which of the following pairs of points?
57. Let m and s be the mean and standard deviation, respectively, of the ages of children in a certain daycare center. What gives the mean and standard deviation of the ages of the same children 5 years later?
58. Which of the following points are the foci of the ellipse given by the equation (x - 5)^2/25 + (y - 3)^2/9 = 1?
59. Which of the following values, in miles per hour, is closest to the difference between Frannie’s average speed and Lucinda’s average speed?