next-generation-sample-questions-quantitative-reasoning.pdf

# 5 gallons per minute 100 choice a is incorrect and

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5 gallons per minute = 100 . Choice A is incorrect and may be the result of dividing 150 by 15 . Choice C is incorrect and may be the result of multiplying 150 by 1 . 5 . Choice D is incorrect and may be the result of multiplying 150 by 15 . 10. Choice A is correct. Volume of a right rectangular prism is equal to the area of the base times the height. Since the height is known, divide the volume by height to find the area of the base. This is represented by 30 ÷ 6 = 5 . Choice B is incorrect because this is the result of subtracting 6 from 30 instead of dividing. Choice C is incorrect because this is the result of adding 6 to 30 instead of dividing. Choice D is incorrect because this is the result of multiplying 6 and 30 instead of dividing. 11. Choice C is correct. The ratio of water to flour is 2 3 . Since there were 8 cups of flour used, the expression 2 8 × 3 can be used to determine the amount of water used, which is 1 5 3 . Choice A is incorrect because this is the number of 3-cup “units” of flour that Jacoby used: 2 8 ÷ 3 = 2 3 . Choice B is incorrect because this would be the amount of water necessary if 6 cups of flour were used, not 8 . Choice D is incorrect because this results from using a ratio of 2 cups of flour to 3 cups of water. 12. Choice A is correct. The expression 4( x + 5) + 4 x + 8 can be expanded to 4 x + 20 + 4 x + 8 , which is equivalent to 8 x + 28 . Since 4 can be factored from each term in this expression, it can be rewritten as 4(2 x + 7) . Choice B is incorrect because it expands to 8 x + 32 , which is not equivalent to 4( x + 5) + 4 x + 8 . Choice C is incorrect because it is equivalent to 4 + ( x + 5) + 4 x + 8 rather than 4( x + 5) + 4 x + 8 . Choice D is incorrect because the 4 was not distributed through the expression in parentheses properly. 13. Choice D is correct. Ninety minutes to complete 40 tasks is an average rate of 2 . 25 minutes per task (90 minutes ÷ 40 tasks ) . Multiplying this rate by 10 gives the average number of tasks Khalid completed every 10 minutes (2 25 × 10 = 22 5 . . ) . Choice A is incorrect and is most likely the result of incorrectly dividing 10 by 90 . Choice B is incorrect because it is the average number of minutes it took Khalid to complete one task. Choice C is incorrect because it is equivalent to 90 ÷ 10 . 14. Choice C is correct. There are 8 voters who plan to vote “yes” on both issues. There are 20 voters who plan to vote “yes” on issue P. This is represented by 8 ÷ 20 = 0 4 . . Choice A is incorrect. This is the probability that a voter plans to vote “yes” on both issues. Choice B is incorrect. This is the probability that a voter plans to vote “yes” on P, given that he or she plans to vote “yes” on Q. Choice D is incorrect. This is the number of voters who plan to vote “yes” on both issues divided by the number of voters who plan to vote “yes” on P and “no” on Q.

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ACCUPLACER Next-Generation Quantitative Reasoning, Algebra, and Statistics © 2017 The College Board. 8 15. Choice B is correct. The expression 5 –3 can be rewritten as 1 5 3 , which is equal to 1 5 ¥ 5 ¥ 5 = 1 125 . Choices A, C, and D are incorrect because they are not equivalent to 5 −3 . Choice A is the value of 1 5 ¥ 3 , choice C is the value of 5 × ( 3) , and choice D is the value of ( 5) 3 .
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