A Brief Guide to Getting the Most from This Book | |

Preface | |

To The Student | |

About the Author | |

Algebra, Mathematical Models, and Problem Solving | |

Algebraic Expressions and Real Numbers | |

Operations with Real Numbers and Simplifying Algebraic Expressions | |

Graphing Equations | |

Solving Linear Equations | |

Mid-Chapter Check Point Section 1.1 Section 1.4 | |

Problem Solving and Using Formulas | |

Properties of Integral Exponents | |

Scientific Notation | |

Group Project | |

Summary | |

Review Exercises | |

Test | |

Functions and Linear Functions | |

Introduction to Functions | |

Graphs of Functions | |

The Algebra of Functions | |

Mid-Chapter Check Point Section 2.1 Section 2.3 | |

Linear Functions and Slope | |

The Point-Slope Form of the Equation of a Line | |

Group Project | |

Summary | |

Review Exercises | |

Test | |

Cumulative Review Exercises (Chapters 1 2) | |

Systems of Linear Equations | |

Systems of Linear Equations in Two Variables | |

Problem Solving and Business Applications Using Systems of Equations | |

Systems of Linear Equations in Three Variables | |

Mid-Chapter Check Point Section 3.1 Section 3.3 | |

Matrix Solutions to Linear Systems | |

Determinants and Cramer's Rule | |

Group Project | |

Summary | |

Review Exercises | |

Test | |

Cumulative Review Exercises (Chapters 1 3) | |

Inequalities and Problem Solving | |

Solving Linear Inequalities | |

Compound Inequalities | |

Equations and Inequalities Involving Absolute Value | |

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Linear Inequalities in Two Variables | |

Linear Programming | |

Group Project | |

Summary | |

Review Exercises | |

Test | |

Cumulative Review Exercises (Chapters 1 4) | |

Polynomials, Polynomial Functions, and Factoring | |

Introduction to Polynomials and Polynomial Functions | |

Multiplication of Polynomials | |

Greatest Common Factors and Factoring By Grouping | |

Factoring Trinomials | |

Mid-Chapter Check Point Section 5.1 Section 5.4 | |

Factoring Special Forms | |

A General Factoring Strategy | |

Polynomial Equations and Their Applications | |

Group Project | |

Summary | |

Review Exercises | |

Test | |

Cumulative Review Exercises (Chapters 1 5) | |

Rational Expressions, Functions, and Equations | |

Rational Expressions and Functions: Multiplying and Dividing | |

Adding and Subtracting Rational Expressions | |

Complex Rational Expressions | |

Division of Polynomials | |

Mid-Chapter Check Point Section 6.1 Section 6.4 | |

Synthetic Division and the Remainder Theorem | |

Rational Equations | |

Formulas and Applications of Rational Equations | |

Modeling Using Variation | |

Group Project | |

Summary | |

Review Exercises | |

Test | |

Cumulative Review Exercises (Chapters 1 6) | |

Radicals, Radical Functions, and Rational Exponents | |

Radical Expressions and Functions | |

Rational Exponents | |

Multiplying and Simplifying Radical Expressions | |

Adding, Subtracting, and Dividing Radical Expressions | |

Mid-Chapter Check Point Section 7.1 Section 7.4 | |

Multiplying with More Than One Term and Rationalizing Denominators | |

Radical Equations | |

Complex Numbers | |

Group Project | |

Summary | |

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