Preface to the Instructor 

Preface to the Student 

1. BASIC PROPERTIES AND DEFINITIONS 

Fundamental Definitions and Notation 

The Real Numbers 

Properties of Real Numbers 

Arithmetic with Real Numbers 

Recognizing Patterns 

Summary 

Review 

Test 

Projects 

2. LINEAR EQUATIONS AND INEQUALITIES IN ONE VARIABLE 

Linear Equations in One Variable 

Formulas 

Applications 

Linear Inequalities in One Variable 

Equations with Absolute Value 

Inequalities Involving Absolute Value 

Summary 

Review 

Cumulative Review 

Test 

Projects 

3. EQUATIONS AND INEQUALITIES IN TWO VARIABLES 

Paired Data and the Rectangular Coordinate System 

The Slope of a Line 

The Equation of a Line 

Linear Inequalities in Two Variables 

Introduction to Functions 

Function Notation 

Algebra and Composition with Functions 

ariation 

Summary 

Review 

Cumulative Review 

Test 

Projects 

4. SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES 

Systems of Linear Equations in Two Variables 

Systems of Linear Equations in Three Variables 

Introduction to Determinants 

Cramer's Rule 

Applications 

Systems of Linear Inequalities 

Summary 

Review 

Cumulative Review 

Test 

Projects 

5. EXPONENTS AND POLYNOMIALS 

Properties of Exponents 

Polynomials, Sums, and Differences 

Multiplication of Polynomials 

The Greatest Common Factor and Factoring by Grouping 

Factoring Trinomials 

Special Factoring 

Factoring: A General Review 

Solving Equations by Factoring 

Summary 

Review 

Cumulative Review 

Test 

Projects 

6. RATIONAL EXPRESSIONS AND RATIONAL FUNCTIONS 

Basic Properties and Reducing to Lowest Terms 

Division of Polynomials 

Multiplication and Division of Rational Expressions 

Addition and Subtraction of Rational Expressions 

Complex Fractions 

Equations Involving Rational Expressions 

Applications 

Summary 

Review 

Cumulative Review 

Test 

Projects 

7. RATIONAL EXPONENTS AND ROOTS 

Rational Exponents 

More Expressions Involving Rational Exponents 

Simplified Form for Radicals 

Addition and Subtraction of Radical Expressions 

Multiplication and Division of Radical Expressions 

Equations with Radicals 

Complex Numbers 

Summary 

Review 

Cumulative Review 

Test 

Projects 

8. QUADRATIC FUNCTIONS 

Completing the Square 

The Quadratic Formula 

Additional Items Involving Solutions to Equations 

Equations Quadratic in Form 

Graphing Parabolas 

Quadratic Inequalities 

Summary 

Review 

Cumulative Review 

Test 

Projects 

9. EXPONENTIAL AND LOGARITHMIC FUNCTIONS 

Exponential Functions 

The Inverse of a Function 

Logarithms are Exponents 

Properties of Logarithms 

Common Logarithms and Natural Logarithms 

Exponential Equations and Change of Base 

Summary 

Review 

Cumulative Review 

Test 

Projects 

10. CONIC SECTIONS 

The Circle 

Ellipses and Hyperbolas 

Seconddegree Inequalities and Nonlinear Systems 

Summary 

Review 

Cumulative Review 

Test 

Projects 

11. SEQUENCES AND SERIES 

Sequences 

Series 

Arithmetic Sequences 

Geometric Sequences 

he Binomial Expansion 

Summary 

Review 

Cumulative Review 

Test 

Projects 

Appendix A: Synthetic Division 

Appendix B: Matrix Solutions to Linear Systems 

Appendix C: Conditional Statements 

Answers to OddNumbered Problems, Chapter Reviews, Chapter Tests, and Cumulative Reviews 

Index 
