MATH REVIEW for Practicing to Take theGRE General Test(pdf69)

ARITHMETIC
1.1 Integers ..................................................................................................... 6
1.2 Fractions ................................................................................................... 7
1.3 Decimals ................................................................................................... 8
1.4 Exponents and Square Roots .................................................................. 10
1.5 Ordering and the Real Number Line ...................................................... 11
1.6 Percent .................................................................................................... 12
1.7 Ratio ....................................................................................................... 13
1.8 Absolute Value ........................................................................................ 13
ARITHMETIC EXERCISES........................................................................ 14
ANSWERS TO ARITHMETIC EXERCISES.............................................. 17
2. ALGEBRA
2.1 Translating Words into Algebraic Expressions ....................................... 19
2.2 Operations with Algebraic Expressions.................................................. 20
2.3 Rules of Exponents ................................................................................. 21
2.4 Solving Linear Equations ....................................................................... 21
2.5 Solving Quadratic Equations in One Variable ........................................ 23
2.6 Inequalities ............................................................................................. 24
2.7 Applications ............................................................................................ 25
2.8 Coordinate Geometry ............................................................................. 28
ALGEBRA EXERCISES ............................................................................. 31
ANSWERS TO ALGEBRA EXERCISES ................................................... 34
3. GEOMETRY
3.1 Lines and Angles .................................................................................... 36
3.2 Polygons ................................................................................................. 37
3.3 Triangles ................................................................................................. 38
3.4 Quadrilaterals ......................................................................................... 40
3.5 Circles ..................................................................................................... 42
3.6 Three-Dimensional Figures .................................................................... 45
GEOMETRY EXERCISES .......................................................................... 47
ANSWERS TO GEOMETRY EXERCISES ............................................... 50
4. DATA ANALYSIS
4.1 Measures of Central Location ................................................................ 51
4.2 Measures of Dispersion .......................................................................... 51
4.3 Frequency Distributions ......................................................................... 52
4.4 Counting ................................................................................................. 53
4.5 Probability .............................................................................................. 54
4.6 Data Representation and Interpretation .................................................. 55
DATA ANALYSIS EXERCISES .................................................................. 62
ANSWERS TO DATA ANALYSIS EXERCISES ....................................... 69
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