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

Preface | |

To The Student | |

About the Author | |

Variables, Real Numbers, and Mathematical Models | |

Introduction to Algebra: Variables and Mathematical Models | |

Fractions in Algebra | |

The Real Numbers | |

Basic Rules of Algebra | |

Mid-Chapter Check Point Section 1.1-Section 1.4 | |

Addition of Real Numbers | |

Subtraction of Real Numbers | |

Multiplication and Division of Real Numbers | |

Exponents and Order of Operations | |

Chapter 1 Group Project | |

Chapter 1 Summary | |

Chapter 1 Review Exercises | |

Chapter 1 Chapter Test | |

Linear Equations and Inequalities in One Variable | |

The Addition Property of Equality | |

The Multiplication Property of Equality | |

Solving Linear Equations | |

Formulas and Percents | |

Mid-Chapter Check Point Section 2.1-Section 2.4 | |

An Introduction to Problem Solving | |

Problem Solving in Geometry | |

Solving Linear Inequalities | |

Chapter 2 Group Project | |

Chapter 2 Summary | |

Chapter 2 Review Exercises | |

Chapter 2 Test | |

Cumulative Review Exercises (Chapters 1-2) | |

Linear Equations in Two Variables | |

Graphing Linear Equations in Two Variables | |

Graphing Linear Equations Using Intercepts | |

Slope | |

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

Mid-Chapter Check Point Section 3.1-Section 3.4 | |

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

Chapter 3 Group Project | |

Chapter 3 Summary | |

Chapter 3 Review Exercises | |

Chapter 3 Test | |

Cumulative Review Exercises (Chapters 1-3) | |

Systems of Linear Equations | |

Solving Systems of Linear Equations by Graphing | |

Solving Systems of Linear Equations by the Substitution Method | |

Solving Systems of Linear Equations by the Addition Method | |

Mid-Chapter Check Point Section 4.1-Section 4.3 | |

Problem Solving Using Systems of Equations | |

Systems of Linear Equations in Three Variables | |

Chapter 4 Group Project | |

Chapter 4 Summary | |

Chapter 4 Review Exercises | |

Chapter 4 Test | |

Cumulative Review Exercises (Chapters 1-4) | |

Exponents and Polynomials | |

Adding and Subtracting Polynomials | |

Multiplying Polynomials | |

Special Products | |

Polynomials in Several Variables | |

Mid-Chapter Check Point Section 5.1-Section 5.4 | |

Dividing Polynomials | |

Long Division of Polynomials | |

Synthetic Division | |

Negative Exponents and Scientific Notation | |

Chapter 5 Group Project | |

Chapter 5 Summary | |

Chapter 5 Review Exercises | |

Chapter 5 Test | |

Cumulative Review Exercises (Chapters 1-5) | |

Factoring Polynomials | |

The Greatest Common Factor and Factoring By Grouping | |

Factoring Trinomials Whose Leading Coefficient Is 1 | |

Factoring Trinomials Whose Leading Coefficient Is Not 1 | |

Mid-Chapter Check Point Section 6.1-Section 6.3 | |

Factoring Special Forms | |

A General Factoring Strategy | |

Solving Quadratic Equations By Factoring | |

Chapter 6 Group Project | |

Chapter 6 Summary | |

Chapter 6 Review Exercises | |

Chapter 6 Test | |

Cumulative Review Exercises (Chapters 1-6) | |

Rational Expressions | |

Rational Expressions and Their Simplification | |

Multiplying and Dividing Rational Expressions | |

Adding and Subtracting Rational Expressions with the Same Denominator | |

Adding and Subtracting Rational Expressions with Different Denominators | |

Mid-Chapter Check Point Section 7.1-Section 7.4 | |

Complex Rational Expressions | |

Solving Rational Equations | |

Applications Using Rational Equations and Proportions | |

Modeling Using Variation | |

Chapter 7 Group Project | |

Chapter 7 Summary | |

Chapter 7 Review Exercises | |

Chapter 7 Test | |

Cumulative Review Exercises (Chapters 1-7) | |

Mid-Textbook Check Point | |

Basics of Functions | |

Introduction to Functions | |

Graphs of Functions | |

The Algebra of Functions | |

Mid-Chapter Check Point Section 8.1-Section 8.3 | |

Composite and Inverse Functions | |

Chapter 8 Group Project | |

Chapter 8 Summary | |

Chapter 8 Review Exercises | |

Chapter 8 Test | |

Cumulative Review Exercises (Chapters 1-8) | |

Inequalities and Problem Solving | |

Business Applications Using Linear Inequalities | |

Compound Inequalities | |

Equations and Inequalities Involving Absolute Value | |

Mid-Chapter Check Point Section 9.1-Section 9.3 | |

Linear Inequalities in Two Variables | |

Chapter 9 Group Project | |

Chapter 9 Summary | |

Chapter 9 Review Exercises | |

Chapter 9 Test | |

Cumulative Review Exercises (Chapters 1-9) | |

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 10.1-Section 10.4 | |

Multiplying with More Than One Term and Rationalizing Denominators | |

Radical Equations | |

Complex Numbers | |

Chapter 10 Group Project | |

Chapter 10 Summary | |

Chapter 10 Review Exercises | |

Chapter 10 Test | |

Cumulative Review Exercises (Chapters 1-10) | |

Quadratic Equations and Functions | |

The Square Root Property and Completing the Square | |

Distance and Midpoint Formulas | |

The Quadratic Formula | |

Quadratic Functions and Their Graphs | |

Mid-Chapter Check Point Section 11.1-Section 11.3 | |

Equations Quadratic in Form | |

Polynomial and Rational Inequalities | |

Chapter 11 Group Project | |

Chapter 11 Summary | |

Chapter 11 Review Exercises | |

Chapter 11 Test | |

Cumulative Review Exercises (Chapters 1-11) | |

Exponential and Logarithmic Functions | |

Exponential Functions | |

Logarithmic Functions | |

Properties of Logarithms | |

Mid-Chapter Check Point Section 12.1-Section 12.3 | |

Exponential and Logarithmic Equations | |

Exponential Growth and Decay | |

Modeling Data | |

Chapter 12 Group Project | |

Chapter 12 Summary | |

Chapter 12 Review Exercises | |

Chapter 12 Test | |

Cumulative Review Exercises (Chapters 1-12) | |

Conic Sections and Systems of Nonlinear Equations | |

The Circle | |

The Ellipse | |

The Hyperbola | |

Mid-Chapter Check Point Section 13.1-Section 13.3 | |

The Parabola | |

Identifying Conic Sections | |

Systems of Nonlinear Equations in Two Variables | |

Chapter 13 Group Project | |

Chapter 13 Summary | |

Chapter 13 Review Exercises | |

Chapter 13 Test | |

Cumulative Review Exercises (Chapters 1-13) | |

Sequences, Series, and the Binomial Theorem | |

Sequences and Summation Notation | |

Arithmetic Sequences | |

Geometric Sequences and Series | |

Mid-Chapter Check Point Section 14.1-Section 14.3 | |

The Binomial Theorem | |

Chapter 14 Group Project | |

Chapter 14 Summary | |

Chapter 14 Review Exercises | |

Chapter 14 Test | |

Cumulative Review Exercises (Chapters 1-14) | |

Appendices | |

Mean, Median, and Mode | |

Matrix Solutions to Systems of Linear Equations | |

Determinants and Cramer's Rule | |

Where Did That Come From? Selected Proofs | |

Answers to Selected Exercises | |

Graphing Answer Section (AIE only) | |

Applications Index | |

Subject Index | |

Photo Credits | |

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