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The **Akst/Bragg** series’ success is built around clear and concise writing, a side-by-side “teach by example” approach, and integrated applications throughout that help students achieve a conceptual understanding. The user-friendly design offers a distinctive side-by-side format that pairs examples and their solutions with corresponding practice exercises. Students understand from the very beginning that doing math is an essential part of learning it. Motivational, real-world applications demonstrate how integral mathematical understanding is to a variety of disciplines, careers, and everyday situations.

## Table of Contents

Preface

**1. Algebra Basics**

1.1 Introduction to Real Numbers

1.2 Operations with Real Numbers

1.3 Properties of Real Numbers

1.4 Laws of Exponents and Scientific Notation

1.5 Algebraic Expressions: Translating, Evaluating, and Simplifying

**2. Linear Equations and Inequalities**

2.1 Solving Linear Equations

2.2 Solving Literal Equations and Formulas

2.3 Solving Linear Inequalities

2.4 Solving Compound Inequalities

2.5 Solving Absolute Value Equations and Inequalities

**3. Graphs, Linear Equations and Inequalities, and Functions**

3.1 The Rectangular Coordinate System

3.2 Slope

3.3 Graphing Linear Equations

3.4 More on Graphing Linear Equations

3.5 Graphing Linear Inequalities

3.6 Introduction to Functions

** **

**4. Systems of Linear Equations and Inequalities**

4.1 Solving Systems of Linear Equations by Graphing

4.2 Solving Systems of Linear Equations Algebraically

4.3 Solving Systems of Linear Equations in Three Variables

4.4 Solving Systems of Linear Equations by Using Matrices

4.5 Solving Systems of Linear Inequalities

**5. Polynomials**

5.1 Addition and Subtraction of Polynomials

5.2 Multiplication of Polynomials

5.3 Division of Polynomials

5.4 The Greatest Common Factor and Factoring by Grouping

5.5 Factoring Trinomials

5.6 Special Factoring

5.7 Solving Quadratic Equations by Factoring

** **

**6. Rational Expressions and Equations**

6.1 Multiplication and Division of Rational Expressions

6.2 Addition and Subtraction of Rational Expressions

6.3 Complex Rational Expressions

6.4 Solving Rational Equations

6.5 Variation

**7. Radical Expressions and Equations**

7.1 Radical Expressions and Rational Exponents

7.2 Simplifying Radical Expressions

7.3 Addition and Subtraction of Radical Expressions

7.4 Multiplication and Division of Radical Expressions

7.5 Solving Radical Equations

7.6 Complex Numbers

** **

**8. Quadratic Equations, Functions, and Inequalities**

8.1 Solving Quadratic Equations: The Square Root Property of Equality; Completing the Square

8.2 Solving Quadratic Equations: The Quadratic Formula

8.3 More on Quadratic Equations

8.4 Graphing Quadratic Functions

8.5 Solving Quadratic and Rational Inequalities

** **

**9. Exponential and Logarithmic Functions**

9.1 The Algebra of Functions and Inverse Functions

9.2 Exponential Functions

9.3 Logarithmic Functions

9.4 Properties of Logarithms

9.5 Common Logarithms, Natural Logarithms, and Change of Base

9.6 Exponential and Logarithmic Equations

**10. Conic Sections**

10.1 Introduction to Conics; The Parabola

10.2 The Circle

10.3 The Ellipse and the Hyperbola

10.4 Solving Nonlinear Systems of Equations

10.5 Solving Nonlinear Inequalities and Nonlinear Systems of Inequalities

**Appedixes**

A.1 Table of Symbols

A.2 Introduction to Graphing Calculators

A.3 Determinants and Cramer’s Rule

A.4 Synthetic Division

**Answers**

**Glossary**

**Index**

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