Preface

**1. Basics of Algebra and Graphing**

1.1 Some Basics of Algebra

1.2 Operations with Real Numbers

1.3 Equivalent Algebraic Expressions

1.4 Exponential Notation and Scientific Notation

Mid-Chapter Review

1.5 Graphs

1.6 Solving Equations and Formulas

1.7 Introduction to Problem Solving and Models

Summary and Review

Test

**2. Functions, Linear Equations, and Models**

2.1 Functions

2.2 Linear Functions: Slope, Graphs, and Models

2.3 Another Look at Linear Graphs

2.4 Introduction to Curve Fitting: Point-Slope Form

Mid-Chapter Review

2.5 The Algebra of Functions

Summary and Review

Test

**3. Systems of Linear Equations and Problem Solving**

3.1 Systems of Equations in Two Variables

3.2 Solving by Substitution or Elimination

3.3 Solving Applications: Systems of Two Equations

Mid-Chapter Review

3.4 Systems of Equations in Three Variables

3.5 Solving Applications: Systems of Three Equations

3.6 Elimination Using Matrices

3.7 Determinants and Cramer's Rule

3.8 Business and Economics Applications

Summary and Review

Test

Cumulative Review: Chapters 1—3

**4. Inequalities**

4.1 Inequalities and Applications

4.2 Solving Equations and Inequalities by Graphing

4.3 Intersections, Unions, and Compound Inequalities

4.4 Absolute-Value Equations and Inequalities

Mid-Chapter Review

4.5 Inequalities in Two Variables

Summary and Review

Test

**5. Polynomials and Polynomial Functions**

5.1 Introduction to Polynomials and Polynomial Functions

5.2 Multiplication of Polynomials

5.3 Polynomial Equations and Factoring

5.4 Trinomials of the Type *x* ^{2} + *bx* + *c*

5.5 Trinomials of the Type *ax* ^{2} + *bx* + *c*

5.6 Perfect-Square Trinomials and Differences of Squares

5.7 Sums or Differences of Cubes

Mid-Chapter Review

5.8 Applications of Polynomial Equations

Summary and Review

Test

**6. Rational Expressions, Equations, and Functions**

6.1 Rational Expressions and Functions: Multiplying and Dividing

6.2 Rational Expressions and Functions: Adding and Subtracting

6.3 Complex Rational Expressions

Mid-Chapter Review

6.4 Rational Equations

6.5 Applications Using Rational Equations

6.6 Division of Polynomials

6.7 Synthetic Division

6.8 Formulas, Applications, and Variation

Summary and Review

Test

Cumulative Review: Chapters 1—6

**7. Exponents and Radical Functions**

7.1 Radical Expressions, Functions, and Models

7.2 Rational Numbers as Exponents

7.3 Multiplying Radical Expressions

7.4 Dividing Radical Expressions

7.5 Expressions Containing Several Radical Terms

Mid-Chapter Review

7.6 Solving Radical Equations

7.7 The Distance Formula, the Midpoint Formula, and Other Applications

7.8 The Complex Numbers

Summary and Review

Test

**8. Quadratic Functions and Equations**

8.1 Quadratic Equations

8.2 The Quadratic Formula

8.3 Studying Solutions of Quadratic Equations

8.4 Studying Solutions of Quadratic Equations

8.5 Equations Reducible to Quadratic

Mid-Chapter Review

8.6 Quadratic Functions and Their Graphs

8.7 More About Graphing Quadratic Functions

8.8 Problem Solving and Quadratic Functions

8.9 Polynomial Inequalities and Rational Inequalities

Summary and Review

Test

**9. Exponential Functions and Logarithmic Functions**

9.1 Composite Functions and Inverse Functions

9.2 Exponential Functions

9.3 Logarithmic Functions

9.4 Properties of Logarithmic Functions

Mid-Chapter Review

9.5 Natural Logarithms and Changing Bases

9.6 Solving Exponential and Logarithmic Equations

9.7 Applications of Exponential and Logarithmic Functions

Summary and Review

Test

Cumulative Review: Chapters 1—9

**10. Conic Sections**

10.1 Conic Sections: Parabolas and Circles

10.2 Conic Sections: Ellipses

10.3 Conic Sections: Hyperbolas

Mid-Chapter Review

10.4 Nonlinear Systems of Equations

Summary and Review

Test

**11. Sequences, Series, and the Binomial Theorem**

11.1 Sequences and Series

11.2 Arithmetic Sequences and Series

11.3 Geometric Sequences and Series

Mid-Chapter Review

11.4 The Binomial Theorem

Summary and Review

Test

Cumulative Review: Chapters 1-11

Answers

Glossary

Photo Credits

Index

Index of Applications