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

# 1000 g 500 kg 1 kg 3 choice d is correct to convert

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1,000 g 500 kg × 1 kg 3. Choice D is correct. To convert from kilograms to grams, multiply , which results in 500 , 000 grams. Choice A is incorrect because 0 . 5 is the number of kilograms in 500 grams. Choice B is incorrect because 5 , 000 grams is equal to 5 kilograms, not 500 kilograms. Choice C is incorrect because 50 , 000 grams is equal to 50 kilograms, not 500 kilograms. 4. Choice A is correct. The graph shows that he sold 10 jars of blueberry jam the first year and 18 the second year, for an increase of 8 jars. This is the largest increase of any of the flavors. Choice B is incorrect. This is the jam he sold the most of, but it is not the largest increase. Choice C is incorrect. He sold more peach jam the second year, but his sales increased by only 4 , which is less than the increase for blueberry. Choice D is incorrect. He sold less strawberry jam the second year, not more. 5. Choice A is correct. An e quation in the form y = ax + b has a slope of a and a y -intercept of b . The line described has a y -intercept of 3 because it crosses the y -axis at y = 3 and has a slope of 1 2 because the value of y increases by 1 for every x increase of 2 . Therefore, an equation of the line is 1 y = x 2 + 3 . Choice B is incorrect. The line described does not have a slope of 2 . Choice C is incorrect. The line described does not have a y -intercept of 4 . Choice D is incorrect. The line described does not have a slope of 2 or a y -intercept of 4 . 6. Choice D is correct. Paul earns \$12 . 50 per hour, so the number of hours, h , is multiplied by 12 . 5 . Paul earns \$11 in addition to how much he works per hour, which is why it is added to the product 12 . 5 h and is independent of how many hours Paul works. Choice A is incorrect because it is what 12 . 5 represents in the equation. Choice B is incorrect because it is what M stands for in the equation. Choice C is incorrect because substituting 1 into the equation gives 12 . 5 + 11 = 23 . 5 .

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ACCUPLACER Next-Generation Quantitative Reasoning, Algebra, and Statistics © 2017 The College Board. 7 7. Choice C is correct. To find the mean, find the total population of all 5 countries and divide by the total number of countries: 65 . 9 + 80 . 8 + 60 . 8 + 46 . 5 + 64 . 3 = 318 . 3 and 318 . 3 ÷ 5 = 63 . 66 , which rounds to 63 . 7 . The values in the table are given in millions, so the mean population is about 63 . 7 million. Choice A is incorrect. It is the maximum of the values given. Choice B is incorrect. It is the median population. Choice D is incorrect. It is the middle value in the table. - 6 - ( - 9 ) - 6 + 9 = 8 8 3 8. Choice B is correct. The fraction , which is equivale nt to 8 . Choices A, C, and D are incorrect because they use incorrect order of operations and/ or do not take into account that subtracting 9 is the same as adding 9 . 9. Choice B is correct. The time it would take to fill the tub can be found by dividing the number of gallons the tub can hold by the rate the water runs from the pump. This is represented by 150 gallons ÷ 1 .
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