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ACCUPLACER® QAS Practice Test #3 Key ACCUPLACER® Practice Test QAS #3 - Key © 2017 The College Board
ACCUPLACER® QAS Practice Test #3 Key 1. B: The correct answer is -10 because 10 is added to both sides of the equation. 2. B: The correct solution is x≥ -45. 10 60 12 30 x x Multiply all terms by the lease common denominator of 15 to eliminate the fractions. 2 60 30 x Subtract 12x from both sides. 2 90 x Add 60 to both sides. 45 x Divide both sides of the inequality by -2 (which changes the inequality). 3. A: The correct solution is 2 1 2 2 2 ab ac c Apply the distributive law. 2 2 ab c ac Subtract 2ac from both sides. 2 (1 2 ) ab c a Factor c from the right side. 2 1 2 4. D: The correct solution is (9, 2). 4 12 12 x y Multiply all terms in the first equation by 2. 7 14 y Add the equations. 2 y Divide both sides by 7. 2 6(2) 6 x Substitute 2 in the first equation for y. 2 12 6 x Simplify using order of operations 2 18 x Subtract 12 from both sides. 9 x Divide both sides by -2. ab a c . ab a Divide both sides by 1 - 2a. c © 2017 The College Board
ACCUPLACER® QAS Practice Test #3 Key 5. D: The correct graph has the two lines intersect at (5, 2). 6. D: The correct solution is 147.5. The data set written in order is 120, 125, 130, 130, 145, 145, 150, 150, 150, 165, 170, and 175. The middle two numbers are 145 and 150, and the mean of these numbers is 147.5. 7. C: The correct solution is 42, 44, and 45. The modes are 42 44, and 45 because these values appear four times each in the data set. 8. B: The correct solution is 15.25. The sum of all items is 183, and 183 divided by 12 gives a mean of 15.25. 9. C: The correct solution is 12x2 =7x - 10. 2 (4 5)(3 2) 4 (3 2) 5(3 2) 12 8 x x x x x x 10. C: The correct solution is -7x + 3xy - y. ( 3 5 6 ) (4 2 5 ) ( 3 5 x xy y x xy y x xy ( 3 4 ) (5 2 ) ( 6 5 ) 7 3 x x xy xy y y x 11. B: The correct solution is (x+10)2. The expression x2 + 20x + 100 is rewritten as (x+10)2 because the value of a is x and the value of b is 10. 10 12 2 15 7 10 x x x x 6 ) ( 4 y xy y 2 5 ) y x xy 2 ( 7) ( 7) 2 ( 1) ( 7) ( 7) 3 12. A: The correct solution is -343 because 343. 1 13. C: The correct solution is 3 because 2 x 10-4 is 0.0002 and 8 x 10-5 is 0.00008. So, the error on the first machine is about 3 times larger. 14. C: The correct solution is -15, 15 because the square root of 225 is 15. The values of -15 and 15 make the equation true. 15. C: The correct solution is randomly selected samples because random sampling techniques are used. © 2017 The College Board
ACCUPLACER® QAS Practice Test #3 Key 16. D: The correct solution is that the teacher should collect data on a random sample of test scores and seat location because there are specific groups based on seat location. 17. D: The correct solution is selecting 500 shoppers by using a random number generator because each shopper has the same chance of being selected. 18. D: The correct solution is 1. 2 SUBSTITUTE out of 10 letters. The probability is 3 There are 3 S's and 2 T's in the word 2 5 1. 2 10 10 100 19. C: The correct solution is 50 because there are 70 students in both classes less the total students (60) is 10 students. Then, subtract 10 students from the total (60), which is 50 students. 20. C: The correct solution is 80% of gaining $4,000 and 20% of gaining $0. The expected value is 0.80($4,000) =$3,200. © 2017 The College Board
