## Table of Contents

**R. Review**

R.1 Sets of Numbers

R.2 Order of Operations and Properties of Real Numbers

R.3 Algebraic Expressions

**1. Equations and Inequalities in One Variable**

1.1 Linear Equations in One Variable

1.2 Linear Inequalities in One Variable

1.3 Compound Inequalities; Absolute Value Equations and Inequalities

1.4 Formulas and Problem Solving

**2. Graphs and Functions**

2.1 The Rectangular Coordinate System and Graphing

2.2 Relations and Functions

2.3 Function Notation and Applications

2.4 Graphs of Linear Functions

2.5 Equations of Lines

2.6 Linear Inequalities in Two Variables

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

3.1 Systems of Linear Equations in Two Variables

3.2 Systems of Linear Equations in Three Variables

3.3 More Problem Solving with Systems of Linear Equations

3.4 Systems of Linear Inequalities in Two Variables

**4. Polynomial Expressions and Functions**

4.1 Rules for Exponents

4.2 Introduction to Polynomial Functions

4.3 Multiplying Polynomials

4.4 Dividing Polynomials

**5. Factoring**

5.1 Greatest Common Factor and Factoring by Grouping

5.2 Factoring Trinomials

5.3 Special-Case Factoring; A General Factoring Strategy

5.4 Polynomial Equations and Models

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

6.1 Introduction to Rational Expressions and Functions

6.2 Multiplying and Dividing Rational Expressions

6.3 Adding and Subtracting Rational Expressions

6.4 Complex Rational Expressions

6.5 Rational Equations and Models

6.6 Variation

**7. Radicals and Rational Exponents**

7.1 Radical Expressions

7.2 Radical Functions

7.3 Rational Exponents and Simplifying Radical Expressions

7.4 Operations with Radicals

7.5 Radical Equations and Models

7.6 Complex Numbers

**8. Quadratic Equations and Functions; Circles**

8.1 Solving Quadratic Equations

8.2 Quadratic Functions and Their Graphs

8.3 Applications and Modeling of Quadratic Functions

8.4 Circles

8.5 Polynomial and Rational Inequalities

**9. Exponential and Logarithmic Functions and Equations**

9.1 Transformations of Functions

9.2 Composite and Inverse Functions

9.3 Exponential Functions

9.4 The Natural Exponential Function

9.5 Logarithmic Functions

9.6 Properties of Logarithms

9.7 Exponential and Logarithmic Equations

9.8 Exponential and Logarithmic Models and Problem Solving

**Appendix A: Conic Sections: Introduction to Conic Sections**

A.1 The Parabola

A.2 The Ellipse

A.3 Hyperbolas

**Appendix B: Sequences and Series**

B.1 Introduction to Sequences and Series

B.2 Arithmetic Sequences and Series

B.3 Geometric Sequences and Series

B.4 Binomial Theorem

**Appendix C: Fractions, Decimals, Percents**

C.1 Fractions

C.2 Decimals

C.3 Proportions

C.4 Percents