To the student preface | |

Real Numbers and Their Properties | |

The Real Numbers | |

Fractions | |

Addition and Subtraction of Real Numbers | |

Multiplication and Division of Real Numbers | |

Exponential Expressions and the Order of Operations | |

Algebraic Expressions | |

Properties of the Real Numbers | |

Using the Properties to Simplify Expressions | |

Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |

Test • Critical Thinking | |

Linear Equations and Inequalities in One Variable2 .1 The Addition and Multiplication Properties of Equality | |

Solving General Linear Equations | |

More Equations | |

Formulas | |

Translating Verbal Expressions into Algebraic Expressions | |

Number, Geometric, and Uniform Motion Applications | |

Discount, Investment, and Mixture Applications | |

Inequalities | |

Solving Inequalities and Applications | |

Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |

Test • Making Connections | |

A review of Chapters 1-2 • Critical Thinking | |

Linear Equations in Two Variables and Their Graphs | |

Graphing Lines in the Coordinate Plane | |

Slope | |

Equations of Lines in Slope-Intercept Form | |

The Point-Slope Form | |

Variations | |

Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |

Test • Making Connections | |

a review of Chapters 1-3 • Critical Thinking | |

Systems of Linear Equations and Inequalities | |

The Graphing Method | |

The Substitution Method | |

The Addition Method | |

Graphing Linear Inequalities in Two Variables | |

Graphing Systems of Linear Inequalities | |

Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |

Test • Making Connections | |

a review of Chapters 1-4 • Critical Thinking | |

Exponents and Polynomials | |

The Rules of Exponents | |

Negative Exponents and Scientific Notation | |

Addition and Subtraction of Polynomials | |

Multiplication of Polynomials | |

Multiplication of Binomials | |

Special Products | |

Division of Polynomials | |

Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |

Test • Making Connections | |

a review of Chapters 1-5 • Critical Thinking | |

Factoring | |

Factoring Out Common Factors | |

Special Products and Grouping | |

Factoring the Trinomial ax² + bx + c with a = 1 | |

Factoring the Trinomial ax² + bx + c with a ¿ 1 | |

The Factoring Strategy | |

Solving Quadratic Equations by Factoring | |

Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |

Test • Making Connections | |

a review of Chapters 1-6 • Critical Thinking | |

Rational Expressions | |

Reducing Rational Expressions | |

Multiplication and Division | |

Finding the Least Common Denominator | |

Addition and Subtraction | |

Complex Fractions | |

Solving Equations with Rational Expressions | |

Applications of Ratios and Proportions | |

Applications of Rational Expressions | |

Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |

Test • Making Connections | |

a review of Chapters 1-7 • Critical Thinking | |

Powers and Roots | |

Roots, Radicals, and Rules | |

Simplifying Square Roots | |

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