## Table of Contents

**Chapter 1 Real Numbers and Algebraic Expressions**

1.1 Tips for Success in Mathematics

1.2 Algebraic Expressions and Sets of Numbers

1.3 Properties of Real Numbers

1.4 Operations on Real Numbers

*Integrated Review–Real Numbers*

1.5 Order of Operations and Algebraic Expressions

1.6 Exponents and Scientific Notation

1.7 More Work with Exponents and Scientific Notation

**Chapter 2 Equations, Inequalities, and Problem Solving**

2.1 Linear Equations in One Variable

2.2 An Introduction to Problem Solving

2.3 Formulas and Problem Solving

2.4 Linear Inequalities and Problem Solving

*Integrated Review–Linear Equations and Inequalities*

2.5 Sets and Compound Inequalities

2.6 Absolute Value Equations and Inequalities

**Chapter 3 Graphs and Functions**

3.1 Graphing Linear Equations

3.2 The Slope of a Line

3.3 The Slope-Intercept Form

3.4 More Equations of Lines

*Integrated Review–Linear Equations in Two Variables*

3.5 Graphing Linear Inequalities

3.6 Introduction to Functions

3.7 Finding Domain and Range from Graphs and Graphing Piecewise Functions

3.8 Shifting, Reflecting, and Sketching Functions

** **Chapter 4 Systems of Equations and Inequalities

4.1 Solving Systems of Linear Equations in Two Variables

4.2 Solve a System of three linear equations in three variables

4.3 Systems of Linear Equations and Problem Solving

*Integrated Review---Systems of Linear Equations*

4.4 Solving Systems of Equations Using Matrices

4.5 Systems of Linear Inequalities

**Chapter 5 Polynomials and Polynomial Functions**

5.1 Adding and Subtracting Polynomials

5.2 Multiplying Polynomials

5.3 Dividing Polynomials and Synthetic Division

5.4 The Greatest Common Factor and Factoring by Grouping

5.5 Factoring Trinomials

5.6 Factoring by Special Products

*Integrated Review–Operations on Polynomials and Factoring Strategies*

5.7 Solving Equations by Factoring and Solving Problems

**Chapter 6 Rational Expressions**

6.1 Rational Functions and Multiplying and Dividing Rational Expressions

6.2 Adding and Subtracting Rational Expressions

6.3 Simplifying Complex Fractions

6.4 Solving Equations Containing Rational Expressions

*Integrated Review–Expressions and Equations Containing Rational Expressions*

6.5 Rational Equations and Problem Solving

6.6 Variation and Problem Solving

**Chapter 7 Rational Exponents, Radicals, and Complex Numbers**

7.1 Radical Expressions

7.2 Rational Exponents

7.3 Simplifying Radical Expressions

7.4 Adding, Subtracting, and Multiplying Radical Expressions

7.5 Rationalizing Numerators and Denominators of Radical Expressions

*Integrated Review–Radicals and Rational Exponents*

7.6 Radical Equations and Problem Solving

7.7 Complex Numbers

**Chapter 8 Quadratic equations and Funct**ions

8.1 Solving Quadratic Equations by Completing the Square

8.2 Solving Quadratic Equations by Using the Quadratic Formula

8.3 Solving Equations by Using Quadratic Methods

*Integrated Review–Summary on Solving Quadratic Equations*

8.4 Nonlinear Inequalities in One Variable

8.5 Quadratic Functions and Their Graphs

8.6 Further Graphing of Quadratic Functions

**Chapter 9 Exponential and Logarithmic Functions**

9.1 The Algebra of Functions

9.2 Inverse Functions

9.3 Exponential Functions

9.4 Logarithmic Functions

9.5 Properties of Logarithms

*Integrated Review–Functions and Properties of Logarithms*

9.6 Common Logarithms, Natural Logarithms, and Change of Base

9.7 Exponential and Logarithmic Equations and Problem Solving

**Chapter 10 Conic Sections**

10.1 The Parabola and the Circle

10.2 The Ellipse and the Hyperbola

*Integrated Review–Graphing Conic Sections*

10.3 Solving Non-linear Systems of Equations

10.4 Nonlinear Inequalities and Systems of Inequalities

** **Appendices

Appendix A Fractions

Appendix B Solving Systems of Equations Using Determinants

Appendix C The Bigger Picture

Appendix D An Introduction to Using a Graphing Utility

Answers to Selected Exercises

Solutions to Selected Exercises