vii Contents Preface xvii Resources for Success xxiii R Review of Basic Concepts 1 R.1 Fractions, Decimals, and Percents 2 Lowest Terms of a Fraction ■ Improper Fractions and Mixed Numbers ■ Operations with Fractions ■ Decimals as Fractions ■ Operations with Decimals ■ Fractions as Decimals ■ Percents as Decimals and Decimals as Percents ■ Percents as Fractions and Fractions as Percents R.2 Sets and Real Numbers 15 Basic Definitions ■ Operations on Sets ■ Sets of Numbers and the Number Line R.3 Real Number Operations and Properties 24 Order on the Number Line ■ Absolute Value ■ Operations on Real Numbers ■ Exponents ■ Order of Operations ■ Properties of Real Numbers R.4 Integer and Rational Exponents 40 Product Rule for Exponents ■ Power Rules for Exponents ■ Zero as an Exponent ■ Negative Exponents and the Quotient Rule ■ Rational Exponents R.5 Polynomials 51 Polynomials ■ Addition and Subtraction ■ Multiplication ■ Division R.6 Factoring Polynomials 61 Factoring Out the Greatest Common Factor ■ Factoring by Grouping ■ Factoring Trinomials ■ Factoring Binomials ■ Factoring by Substitution ■ Factoring Expressions with Negative or Rational Exponents R.7 Rational Expressions 72 Rational Expressions ■ Lowest Terms of a Rational Expression ■ Multiplication and Division ■ Addition and Subtraction ■ Complex Fractions R.8 Radical Expressions 82 Radical Notation ■ Simplified Radicals ■ Operations with Radicals ■ Rationalizing Denominators Test Prep 94 ■ Review Exercises 99 ■ Test 103 1 Equations and Inequalities 105 1.1 Linear Equations 106 Basic Terminology of Equations ■ Linear Equations ■ Identities, Conditional Equations, and Contradictions ■ Solving for a Specified Variable (Literal Equations)
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