## Table of Contents

**1. Whole Numbers**

1.1 Introduction to Whole Numbers

1.2 Adding and Subtracting Whole Numbers; Perimeter

1.3 Multiplying and Dividing Whole Numbers; Area

1.4 Exponents, Variables, and Algebraic Expressions

1.5 Rounding and Estimating; Square Roots

1.6 Order of Operations

1.7 More with Equations and Problem Solving

**2. Integers**

2.1 Integers and the Number Line

2.2 Adding Integers

2.3 Subtracting Integers

2.4 Multiplying and Dividing Integers

2.5 Order of Operations; Averages

2.6 Solving Equations with Integer Solutions

**3. Algebraic Expressions and Linear Equations**

3.1 Simplifying Algebraic Expressions

3.2 Translating Words to Equations

3.3 Properties of Equality

3.4 Solving Linear Equations

3.5 Applications and Problem Solving

**4. Fractions**

4.1 Introduction to Fractions and Mixed Numbers

4.2 Prime Factorization and Lowest Terms

4.3 Multiplying and Dividing Fractions

4.4 Adding and Subtracting Fractions-Like Denominators

4.5 Adding and Subtracting Fractions-Unlike Denominators

4.6 Operations on Mixed Numbers

4.7 Complex Fractions and Order of Operations

4.8 Solving Equations Involving Fractions

**5. Decimals**

5.1 Introduction to Decimals

5.2 Adding and Subtracting Decimals

5.3 Multiplying and Dividing Decimals

5.4 Real Numbers, Square Roots, and Order of Operations

5.5 Solving Equations Involving Decimals

5.6 Applications from Geometry and Statistics

**6. Ratios, Proportions, and Measurement**

6.1 Ratios and Rates

6.2 Proportions and Similar Figures

6.3 The American System of Measurement

6.4 The Metric System of Measurement

6.5 American-Metric Conversions; Temperature

6.6 Time and Speed

**7. Percents**

7.1 Introduction to Percents; Circle Graphs

7.2 Using Equations to Solve Percent Problems

7.3 Using Proportions to Solve Percent Problems

7.4 Applications: Sales Tax, Discounts, and Net Pay

7.5 Applications: Simple and Compound Interest

7.6 Probability and Percent Chance

**8. Geometry**

8.1 Plane Geometry: Points, Lines, and Angles

8.2 Triangles

8.3 Polygons and Circles

8.4 Perimeter and Circumference

8.5 Area, Volume, and Surface Area

**9. Linear Equations and Inequalities**

9.1 Review of Linear Equations

9.2 Further Problem Solving

9.3 Linear Inequalities

**10. Graphing Equations**

10.1 Introduction to Graphing

10.2 Linear Equations in Two Variables

10.3 More Graphing of Lines

10.4 Slope and Rates of Change

10.5 Slope-Intercept Form

10.6 Point-Slope Form

10.7 Introduction to Modeling

**11. Systems of Linear Equations in Two Variables**

11.1 Solving Systems of Linear Equations Graphically and Numerically

11.2 Solving Systems of Linear Equations by Substitution

11.3 Solving Systems of Linear Equations by Elimination

11.4 Systems of Linear Inequalities

**12. Polynomials and Exponents**

12.1 Rules for Exponents

12.2 Addition and Subtraction of Polynomials

12.3 Multiplication of Polynomials

12.4 Special Products

12.5 Integer Exponents and the Quotient Rule

12.6 Division of Polynomials

**13. Factoring Polynomials and Solving Equations**

13.1 Introduction to Factoring

13.2 Factoring Trinomials I (*x*^{2} + *bx* + *c*)

13.3 Factoring Trinomials II (*ax*^{2} + *bx* + *c*)

13.4 Special Types of Factoring

13.5 Summary of Factoring

13.6 Solving Equations by Factoring I (Quadratics)

13.7 Solving Equations by Factoring II (Higher Degree)

**14. Rational Expressions**

14.1 Introduction to Rational Expressions

14.2 Multiplication and Division of Rational Expressions

14.3 Addition and Subtraction with Like Denominators

14.4 Addition and Subtraction with Unlike Denominators

14.5 Complex Fractions

14.6 Rational Equations and Formulas

14.7 Proportions and Variation

**15. Introduction to Functions**

15.1 Functions and Their Representations

15.2 Linear Functions

15.3 Compound Inequalities

15.4 Other Functions and Their Properties

15.5 Absolute Value Equations and Inequalities

**16. Systems of Linear Equations**

16.1 Systems of Linear Equations in Three Variables

16.2 Matrix Solutions of Linear Systems

16.3 Determinants

**17. Radical Expressions and Functions**

17.1 Radical Expressions and Functions

17.2 Rational Exponents

17.3 Simplifying Radical Expressions

17.4 Operations on Radical Expressions

17.5 More Radical Functions

17.6 Equations Involving Radical Expressions

17.7 Complex Numbers

**18. Quadratic Functions and Equations**

18.1 Quadratic Functions and Their Graphs

18.2 Parabolas and Modeling

18.3 Quadratic Equations

18.4 The Quadratic Formula

18.5 Quadratic Inequalities

18.6 Equations in Quadratic Form

**19. Exponential and Logarithmic Functions**

19.1 Composite and Inverse Functions

19.2 Exponential Functions

19.3 Logarithmic Functions

19.4 Properties of Logarithms

19.5 Exponential and Logarithmic Equations

**20. Conic Sections**

20.1 Parabolas and Circles

20.2 Ellipses and Hyperbolas

20.3 Nonlinear Systems of Equations and Inequalities

**21. Sequences and Series**

21.1 Sequences

21.2 Arithmetic and Geometric Sequences

21.3 Series

21.4 The Binomial Theorem

Appendix A: Using the Graphing Calculator

Appendix B: Sets

Appendix C: Linear Programming

Appendix D: Synthetic Division

Appendix E: Using a Calculator