1. BASICS 

Notation and Symbols 

Real Numbers 

Addition of Real Numbers 

Subtraction of Real Numbers 

Properties of Real Numbers 

Multiplication of Real Numbers 

Division of Real Numbers 

Subsets of the Real Numbers 

Addition and Subtraction with Fractions 

Summary 

Review 

Test 

Projects 

2. LINEAR EQUATIONS AND INEQUALITIES 

Simplifying Expressions 

Addition Property of Equality 

Multiplication Property of Equality 

Solving Linear Equations 

Formulas 

Applications 

More Applications 

Linear Inequalities 

Compound Inequalities 

Summary 

Review 

Cumulative Review 

Test 

Projects 

3. LINEAR EQUATIONS AND INEQUALITIES IN TWO VARIABLES 

Paired Data and Graphing Ordered Pairs 

Solutions to Linear Equations in Two Variables 

Graphing Linear Equations in Two Variables 

More on Graphing: Intercepts 

The Slope of a Line 

Finding the Equation of a Line 

Linear Inequalities in Two Variables 

Summary 

Review 

Cumulative Review 

Test 

Projects 

4. SYSTEMS OF LINEAR EQUATIONS 

Solving Linear Systems by Graphing 

The Elimination Method 

The Substitution Method 

Applications 

Summary 

Review 

Cumulative Review 

Test 

Projects 

5. EXPONENTS AND POLYNOMIALS 

Multiplication with Exponents 

Division with Exponents 

Operations with Monomials 

Addition and Subtraction of Polynomials 

Multiplication with Polynomials 

Binomial Squares and Other Special Products 

Dividing a Polynomial by a Monomial 

Dividing a Polynomial by a Polynomial 

Summary 

Review 

Cumulative Review 

Test 

Projects 

6. FACTORING 

The Greatest Common Factor and Factoring by Grouping 

Factoring Trinomials 

More Trinomials to Factor 

The Difference of Two Squares 

Factoring: A General Review 

Solving Equations by Factoring 

Applications 

Summary 

Review 

Cumulative Review 

Test 

Projects 

7. RATIONAL EXPRESSIONS 

Reducing Rational Expressions to Lowest Terms 

Multiplication and Division of Rational Expressions 

Addition and Subtraction of Rational Expressions 

Equations Involving Rational Expressions 

Applications 

Complex Fractions 

Proportions 

Variation 

Summary 

Review 

Cumulative Review 

Test 

Projects 

8. ROOTS AND RADICALS 

Definitions and Common Roots 

Properties of Radicals 

Simplified Form for Radicals 

Addition and Subtraction of Radical Expressions 

Multiplication and Division of Radicals 

Equations Involving Radicals 

Summary 

Review 

Cumulative Review 

Test 

Projects 

9. QUADRATIC EQUATIONS 

More Quadratic Equations 

Completing the Square 

The Quadratic Formula 

Complex Numbers 

Complex Solutions to Quadratic Equations 

Graphing Parabolas 

Summary 

Review 

Cumulative Review 

Test 

Projects 

Appendixes: A 

Introduction to Functions 

B 

Function Notation 

Answers to Chapter Reviews, Chapter Tests, and OddNumbered Problems 

Index 
