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Preface | |

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Acknowledgments | |

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General Exam Information | |

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Essentials of the GRE & GMAT | |

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Registering for the Exams | |

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Computer-Based Tests | |

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Managing Your Time | |

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Structure of the Exams | |

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Test Center Procedures and Regulations | |

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Test Scores and Score Reports | |

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Determining Your Score | |

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Your Score Report | |

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Canceling Your Scores | |

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Exiting a Section or Quitting the Test Early | |

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Rescheduling or Canceling Your Test | |

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Retaking the Test | |

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Additional Test-Prep Materials | |

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Mathematics Preparation | |

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Arithmetic Review | |

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Summary of Symbols | |

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Whole Numbers | |

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Rounding Off Whole Numbers | |

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Fundamental Operations | |

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Prime and Composite Numbers | |

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Fractions | |

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Types of Fractions | |

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Raising Fractions to Higher Terms | |

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Reducing Fractions to Lowest Terms | |

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Adding and Subtracting Like Fractions | |

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Adding and Subtracting Unlike Fractions | |

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Multiplying Fractions | |

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Dividing Fractions | |

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Simplifying Complex Fractions | |

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Comparing Fractions | |

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Finding the Missing Term of a Proportion | |

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Decimals | |

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Rounding Off Decimals | |

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Adding and Subtracting Decimals | |

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Multiplying Decimals | |

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Dividing a Decimal by a Whole Number | |

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Dividing a Decimal by a Decimal | |

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Comparing Decimal Fractions | |

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Changing Decimal Fractions to Common Fractions | |

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Changing Common Fractions to Decimal Fractions | |

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Percents | |

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Changing Percents to Decimals | |

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Changing Percents to Fractions | |

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Solving Percent Problems | |

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Practice Test | |

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Answers and Explanations | |

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Algebra | |

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Numerical Expressions | |

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Exponential Notation | |

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Square Roots | |

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The Order of Operations | |

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Algebraic Expressions | |

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Polynomials | |

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Evaluating Algebraic Expressions | |

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Evaluating the Subject of a Formula | |

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Signed Numbers | |

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Order Relationships on the Number Line | |

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Adding Signed Numbers | |

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Subtracting Signed Numbers | |

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Multiplying and Dividing Signed Numbers | |

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Evaluating Algebraic Expressions with Signed Numbers | |

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Polynomials | |

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Adding and Subtracting Algebraic Terms (Monomials) | |

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Adding and Subtracting Polynomials | |

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Multiplying and Dividing Monomials | |

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Multiplying Powers of the Same Base | |

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Dividing Powers of the Same Base | |

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Zero and Negative Exponents | |

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Raising a Monomial to a Power | |

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Multiplying Polynomials by Monomials | |

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Dividing Polynomials by Monomials | |

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Multiplying Polynomials by Polynomials | |

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Solving Linear Equations and Inequalities | |

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Solving Linear Equations in One Variable | |

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Solving Equations Containing Parentheses | |

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Solving Equations Containing Like Variable Terms | |

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Solving Equations Containing Fractions | |

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Solving Proportions | |

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Solving Equations Containing Square Roots | |

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Solving Literal Equations | |

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Solving Equations Simultaneously-Addition Method | |

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Solving Equations Simultaneously-Substitution Method | |

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Solving Linear Inequalities in One Variable | |

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Factoring | |

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Factoring Polynomials Having a Common Monomial Factor | |

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Factoring Trinomials of the General Form ax[superscript 2] + bx + c | |

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Factoring the Difference of Two Squares a[superscript 2] - b[superscript 2] | |

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Factoring Expressions Completely | |

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Solving Quadratic Equations by Factoring | |

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Solving Incomplete Quadratic Equations | |

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Operations with Square Roots | |

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Mathematics Preparation | |

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Algebra | |

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Simplifying Square Roots of Numbers | |

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Simplifying Square Roots of Variables | |

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Adding and Subtracting Square Roots | |

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Multiplying Square Roots | |

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Dividing Square Roots | |

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Algebraic Fractions | |

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Reducing Algebraic Fractions to Lowest Terms | |

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Adding and Subtracting Like Algebraic Fractions | |

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Adding and Subtracting Unlike Algebraic Fractions | |

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Multiplying Algebraic Fractions | |

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Dividing Algebraic Fractions | |

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Simplifying Complex Algebraic Fractions | |

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Practice Test | |

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Answers and Explanations | |

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Word Problems | |

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Arithmetic Problems | |

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Fraction Word Problems | |

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Proportion Problems | |

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Percent Word Problems-General | |

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Percent Word Problems-Percent of Increase or Decrease | |

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Number Problems | |

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Number Problems Involving One Unknown | |

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Number Problems Involving More Than One Unknown | |

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Consecutive Integer Problems | |

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Age Problems | |

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Average Problems | |

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Simple Average | |

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Median and Mode | |

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Range of a Set of Numbers | |

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Weighted Average | |

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Mixture Problems | |

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Motion Problems | |

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Basic Formula | |

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Special Situations | |

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Work Problems | |

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Individuals | |

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Groups | |

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Set Problems | |

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Venn Diagram | |

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Probability | |

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Basic Formula | |

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Practice Test | |

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Answers and Explanations | |

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Geometry | |

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Points, Lines, and Angles | |

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Denoting Angles | |

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Measuring Angles | |

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Types of Angles | |

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Angle Relationships | |

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Intersecting Lines | |

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Parallel Lines | |

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Polygons | |

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Triangles | |

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Properties of Triangles | |

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Pythagorean Triples | |

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Similar Triangles | |

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Quadrilaterals | |

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Perimeter | |

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Area | |

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Circles | |

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Central Angles and Inscribed Angles | |

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Circumference and Area | |

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Coordinate Geometry | |

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Cartesian Coordinate System | |

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Distance Formula | |

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Midpoint Formula | |

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Slope of a Line | |

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Slope-Intercept Equation of a Line | |

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Volume | |

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Basic Formulas | |

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Practice Test | |

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Answers and Explanations | |

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Practice Tests and Special Format Questions | |

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Standard Multiple-Choice Math Questions | |

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Tips for Answering Standard Multiple-Choice Math Questions | |

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Tips for Answering Standard Multiple-Choice Math Questions Based on Graphs | |

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Practice Test I | |

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Answers and Explanations | |

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Practice Test II | |

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Answers and Explanations | |

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Data Sufficiency Questions | |

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Tips for Answering Data Sufficiency Questions | |

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The "What Is the Value of...?" Type of Question | |

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The "Is...?" Type of Question | |

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Practice Test III | |

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Answers and Explanations | |

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Practice Test IV | |

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Answers and Explanations | |

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Practice Test V | |

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Answers and Explanations | |

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Quantitative Comparison Questions | |

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Tips for Answering Quantitative Comparison Questions | |

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Tips for Answering Purely Numerical Questions | |

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Tips for Answering Questions Involving Variables | |

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Practice Test VI | |

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Answers and Explanations | |

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Practice Test VII | |

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Answers and Explanations | |

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Practice Test VIII | |

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Answers and Explanations | |

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Appendix | |

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Summary of Definitions, Procedures, and Formulas | |

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Arithmetic | |

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Algebra | |

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Word Problems | |

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Geometry | |