# Math review

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®

Math Review

for the Quantitative Reasoning Measure of the GRE® revised General Test

www.ets.org

Overview
This Math Review will familiarize you with the mathematical skills and concepts that are important to understand in order to solve problems and reason quantitatively on the Quantitative Reasoning measure of the GRE revised General Test. The following material includes manydefinitions, properties, and examples, as well as a set of exercises (with answers) at the end of each review section. Note, however, that this review is not intended to be all-inclusive—there may be some concepts on the test that are not explicitly presented in this review. If any topics in this review seem especially unfamiliar or are covered too briefly, we encourage you to consultappropriate mathematics texts for a more detailed treatment.

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Table of ContentsARITHMETIC.............................................................................................................................. 1 1.1 Integers.................................................................................................................................. 1 1.2 Fractions................................................................................................................................ 3 1.3 Exponents andRoots............................................................................................................. 5 1.4 Decimals ............................................................................................................................... 6 1.5 Real Numbers........................................................................................................................ 7 1.6Ratio...................................................................................................................................... 9 1.7 Percent................................................................................................................................... 9 ARITHMETIC EXERCISES ............................................................................................................ 13 ANSWERS TO ARITHMETIC EXERCISES....................................................................................... 15 ALGEBRA................................................................................................................................... 17 2.1 Operations with Algebraic Expressions.............................................................................. 17 2.2 Rules of Exponents............................................................................................................. 18 2.3 Solving Linear Equations.................................................................................................... 20 2.4 Solving Quadratic Equations .............................................................................................. 22 2.5 Solving Linear Inequalities................................................................................................. 23 2.6 Functions............................................................................................................................. 24 2.7 Applications ........................................................................................................................ 25 2.8 CoordinateGeometry.......................................................................................................... 30 2.9 Graphs of Functions............................................................................................................ 36 ALGEBRA EXERCISES ................................................................................................................. 40 ANSWERS TO ALGEBRA EXERCISES...