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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 element of the examination. 501 Quantitative comparability Questions is designed to aid scholars organize for this really good math part, mastery of that is crucial for recognition to fascinating faculties and jobs. by way of finishing the routines during this e-book, scholars can bring up their math wisdom and achieve familiarity with really expert questions had to ranking excessive. The booklet beneficial properties whole solutions, every one with a whole clarification.

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Extra resources for 501 Quantitative Comparison Questions: Master This Specialized Math Skill and Score Higher!

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Subtracting 6x and −1 from both sides makes the equation 9x2 − 6x + 1 = 0. Factor this quadratic into two binomials; 9x2 − 6x + 1 = (3x − 1)(3x − 1). Now the equation is (3x − 1)(3x − 1) = 0. This will be true when 3x − 1 = 0; add one to both sides to give 3x = 1; divide both 1 sides by 3 and x = ᎏ3ᎏ. 145. d. The answer cannot be determined. The binomials in column A are the difference of two squares, so (x + 5)(x − 5) = x2 − 5x + 5x − 25 = x2 − 25. Since there is no indication as to whether x is positive or negative, the term 10x in column B could be either positive or negative and the answer cannot be determined.

The only prime divisible by 7 is 7. It is the same for 11—the only prime divisible by 11 is 11. If any other number was divisible by 7 or 11, it would not be prime. 121. a. 0989. 122. c. When multiplying by 105, move the decimal 5 places to the right to get 425,000. When dividing by 102, move the decimal 2 places to the left to get 425,000. The values in A and B are the same. 23 501 Quantitative Comparison Questions 123. c. The absolute value of opposites is the same number. For example, |5| = 5 and |−5| = 5; x − 8 is the opposite of 8 − x.

A. 04. 004. 004. 10. b. Compare ͙8 ෆ to ͙9 ෆ and ﬁnd that ͙9 ෆ is greater and comes from quantity B. Compare ͙13 ෆ to ͙19 ෆ and ﬁnd that ͙19 ෆ is greater and comes from quantity B. Since both parts of quantity B are greater than the parts of quantity A, quantity B is greater. 11. a. Compare 5 to 4 and ﬁnd that 5 is greater and comes from quantity A. Compare ͙32 ෆ to ͙23 ෆ and ﬁnd that ͙32 ෆ is greater and comes from quantity A. Since both parts of quantity A are greater than the parts of quantity B, quantity A is greater.

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