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501 Quantitative comparability Questions is helping arrange scholars for key educational flair tests-including the PSAT/NMSQT, the SAT, and the GRE-which characteristic a quantitative comparability part in the math component of the examination. 501 Quantitative comparability Questions is designed to assist scholars organize for this really expert math part, mastery of that is crucial for popularity to fascinating colleges and jobs. through finishing the workouts during this publication, scholars can bring up their math wisdom and achieve familiarity with really expert questions had to ranking excessive. The booklet beneficial properties whole solutions, each one with an entire rationalization
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140. a. The quantity (x + 3)2 = (x + 3)(x + 3). By the distributive property, this equals x2 + 3x + 3x + 9 = x2 + 6x + 9. You can subtract x2 and 9 from each column and you are left with 6x in column A and zero in column B. Since x > 0, column A is greater.
A positive number is always greater than a negative number, so quantity B is greater. 1 16. c. ᎏ20ᎏ and 5% are the same thing. Therefore, the two quantities are equal. 17. b. n is a negative number. Try a couple of negative numbers to see the pattern. Substitute in −2; (7)(−2) = −14 and (4)(−2) = −8, quantity B is greater. 5) = −2. Again, quantity B is greater. 12 501 Quantitative Comparison Questions 18. a. Any number squared is positive. Therefore, p2 is positive and ( −p)2 is negative. A positive number is always greater than a negative number.
Follow the order of operations. Quantity A is 2 + 82 − 6 − 10 = 2 + 64 − 6 − 10 = 50. Quantity B is (2 + 8)2 − 6 − 10 = 102 − 6 − 10 = 100 − 6 − 10 = 84. 101. a. Square both quantities to get rid of the square roots; (7͙x ෆ)2 = 49x and (͙3x ෆ)2 = 3x. Since x is positive, 49x > 3x. Quantity A is greater than quantity B. 102. d. The relationship cannot be determined. When x is positive, quantity B is greater. When x is negative, quantity A is greater. 1 1 1 103. c. ᎏ3ᎏx + ᎏ3ᎏx + ᎏ3ᎏx = 1x; therefore, x = 9.
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