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501 Quantitative comparability Questions is helping organize 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 aid scholars arrange for this really good math part, mastery of that is crucial for popularity to fascinating faculties and jobs. via finishing the routines during this booklet, scholars can raise their math wisdom and achieve familiarity with really good questions had to rating excessive. The e-book good points whole solutions, each one with an entire rationalization
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A2a3 3 a6 1 (ᎏ12ᎏ)2 131. (ᎏ4ᎏ)2 − (ᎏ4ᎏ)2 4x = 64 132. 4 x 212 = 8x 133. 3 x a<0 134. a 2 a9 y = 5x x is a positive integer. 135. 5x + 1 5y x>0 136. 2x2 + 5x + 4 (2x + 4)(x + 1) 137. x2 − 4x − 21 = 0 sum of the roots 138. product of the roots The prom committee orders an arch for the entrance to the dance ﬂoor. 1x2 where y is the height of the arch, in feet. maximum arch height 10 feet 27 501 Quantitative Comparison Questions Column A Column B x<0 139. x2 + 7 x(x + 7) x>0 140. (x + 3)2 x2 + 9 y = x2 + 6x + 9 141.
5, then quantity A is larger. If x = 1, then both quantities are equal (both 1). If x > 1, for example 3, then quantity B is larger. 21. b. Use the order of operations to simplify. 5 = quantity B 15 22. c. 10 = 10%. The percentage of people in the theater that are children is 10%. 23. c. 75% to a decimal by moving the decimal point two places to the left. 0075. 24. b. Use the equation 5x + 3x = 96 and solve for x. 5x + 3x = 96 8x = 96 8x ᎏ8ᎏ = ᎏ986ᎏ x = 12 5x of the animals are dogs. Since x = 12, 5x = 60.
Set up the complex fractions and then divide. Quantity A is x ᎏyᎏ y ᎏxᎏ = ᎏ1ᎏ 4 ᎏ ᎏ1ᎏ 5 = ᎏ14ᎏ ÷ ᎏ15ᎏ = ᎏ14ᎏ × ᎏ51ᎏ = ᎏ54ᎏ, so Quantity A is ᎏ54ᎏ; Quantity B is = ᎏ1ᎏ 5 ᎏ ᎏ1ᎏ 4 = ᎏ15ᎏ ÷ ᎏ14ᎏ = ᎏ15ᎏ × ᎏ41ᎏ = ᎏ45ᎏ, so Quantity B is ᎏ45ᎏ. Since quantity A is greater than 1 and quantity B is less than 1, quantity A is greater. 24 2 Algebra In this chapter, the following math concepts will be the subject of the 125 algebra-based quantitative comparison questions: ■ ■ ■ ■ ■ ■ ■ ■ Applications Coordinate Geometry Inequalities Operations with Algebraic Expressions Rules of Exponents Solving Linear Equations Solving Quadratic Equations in One Variable Translating Words into Algebraic Expressions Some important guidelines: Numbers: All numbers used are real numbers.