## Table of Contents

**Module 1. Whole Numbers**

1.1 Study Tips for This Course

1.2 Introduction to Whole Numbers

1.3 Adding and Subtracting Whole Numbers; Perimeter

1.4 Multiplying Whole Numbers; Area

1.5 Dividing Whole Numbers

1.6 Exponents and Order of Operations

1.7 Introduction to Variables, Algebraic Expressions, and Equations

**Module 2. Integers and Introduction to Solving Equations**

2.1 Introduction to Integers

2.2 Adding Integers

2.3 Subtracting Integers

2.4 Multiplying and Dividing Integers

2.5 Order of Operations

2.6 Solving Equations: The Addition and Multiplication Properties

**Module 3. Solving Equations and Problem Solving**

3.1 Simplifying Algebraic Expressions

3.2 Revisiting the Properties of Equality

3.3 Solving Linear Equations in One Variable

3.4 Using Linear Equations to Solve Problems

**Module 4. Fractions and Mixed Numbers**

4.1 Introduction to Fractions and Mixed Numbers

4.2 Factors and Simplest Form

4.3 Multiplying and Dividing Fractions

4.4 Adding and Subtracting Fractions

4.5 Complex Fractions and Review of Order of Operations

4.6 Operations on Mixed Numbers

4.7 Solving Equations Containing Fractions

**Module 5. Decimals**

5.1 Introduction to Decimals

5.2 Adding and Subtracting Decimals

5.3 Multiplying Decimals; Circumference

5.4 Dividing Decimals

5.5 Fractions, Decimals and Order of Operations

5.6 Solving Equations Containing Decimals

**Module 6. Ratios and Proportions**

6.1 Ratios, Rates, and Unit Prices

6.2 Proportions

6.3 Proportions and Problem Solving

6.4 Congruent and Similar Triangles

6.5 Square Roots and the Pythagorean Theorem

**Module 7. Percent**

7.1 Percents, Decimals, and Fractions

7.2 Solving Percent Problems with Equations

7.3 Solving Percent Problems with Proportions

7.4 Applications of Percent

7.5 Percent and Problem Solving: Sales Tax, Commission, and Discount

7.6 Percent and Problem Solving: Interest

**Module 8. Geometry and Measurement**

8.1 Lines and Angles

8.2 Perimeter, Circumference, and Area

8.3 Volume and Surface Area

8.4 Linear Measurement

8.5 Weight and Mass

8.6 Capacity

8.7 Time and Temperature

**Module 9. Statistics**

9.1 Mean, Median, and Mode

9.2 Histograms

9.3 Counting

9.4 Probability

**Module 10. Real Numbers and Algebraic Expressions**

10.1 The Real Number System

10.2 Adding and Subtracting Real Numbers

10.3 Multiplying and Dividing Real Numbers

10.4 Exponents and Order of Operations

10.5 Variables and Properties of Real Numbers

10.6 Simplifying Algebraic Expressions

**Module 11. Linear Equations and Inequalities in One Variable**

11.1 The Addition and Multiplication Properties of Equality

11.2 Solving Linear Equations in One Variable

11.3 Introduction to Problem Solving

11.4 Formulas

11.5 Geometry and Uniform Motion Problem Solving

11.6 Percent and Mixture Problem Solving

11.7 Linear Inequalities in One Variable

11.8 Compound Inequalities; Absolute Value Equations and Inequalities

**Module 12. Graphs of Linear Equations and Inequalities in Two Variables**

12.1 The Rectangular Coordinate System

12.2 Graphing Linear Equations in Two Variables

12.3 Slope

12.4 Equations of Lines

12.5 Linear Inequalities in Two Variables

**Module 13. Systems of Linear Equations and Inequalities**

13.1 Solving Systems of Linear Equations by Graphing

13.2 Solving Systems of Linear Equations by Substitution

13.3 Solving Systems of Linear Equations by Elimination

13.4 Applications of Linear Systems

13.5 Systems of Linear Inequalities

13.6 Systems of Linear Equations in Three Variables

**Module 14. Exponents and Polynomials**

14.1 Exponents

14.2 Introduction to Polynomials

14.3 Adding and Subtracting Polynomials

14.4 Multiplying Polynomials

14.5 Special Products

14.6 Negative Exponents and Scientific Notation

14.7 Dividing Polynomials

14.8 Polynomials in Several Variables

**Module 15. Factoring Polynomials**

15.1 Greatest Common Factor and Factoring by Grouping

15.2 Factoring Trinomials of the Form *x*^{2} + *bx* + *c*

15.3 Factoring Trinomials of the Form *ax*^{2} + *bx* + *c* Using Trial and Error

15.4 Factoring Trinomials of the Form *ax*^{2} + *bx* + *c* Using the *ac* Method

15.5 Factoring Special Forms

15.6 A General Factoring Strategy

15.7 Solving Polynomial Equations by Factoring

15.8 Applications of Quadratic Equations

**Module 16. Rational Expressions and Equations**

16.1 Simplifying Rational Expressions

16.2 Multiplying and Dividing Rational Expressions

16.3 Least Common Denominators

16.4 Adding and Subtracting Rational Expressions

16.5 Complex Rational Expressions

16.6 Solving Rational Equations

16.7 Applications of Rational Equations

16.8 Variation

**Module 17. Introduction to Functions**

17.1 Relations and Functions

17.2 Function Notation and the Algebra of Functions

17.3 Graphs of Functions and Their Applications

**Module 18. Radicals and Rational Exponents**

18.1 Radical Expressions

18.2 Radical Functions

18.3 Rational Exponents and Simplifying Radical Expressions

18.4 Operations with Radicals

18.5 Radical Equations and Models

18.6 Complex Numbers

**Module 19. Quadratic Equations and Functions; Circles**

19.1 Solving Quadratic Equations

19.2 Quadratic Functions and Their Graphs

19.3 Applications and Modeling of Quadratic Functions

19.4 Circles

19.5 Polynomial and Rational Inequalities

**Module 20. Exponential and Logarithmic Functions and Equations**

20.1 Transformations of Functions

20.2 Composite and Inverse Functions

20.3 Exponential Functions

20.4 The Natural Exponential Function

20.5 Logarithmic Functions

20.6 Properties of Logarithms

20.7 Exponential and Logarithmic Equations

20.8 Applications of Exponential and Logarithmic Functions

**Module 21. Conic Sections**

21.1 The Parabola

21.2 The Ellipse

21.3 The Hyperbola

**Module 22. Sequences and Series**

22.1 Introduction to Sequences and Series

22.2 Arithmetic Sequences and Series

22.3 Geometric Sequences and Series

22.4 The Binomial Theorem

**Module 23. Additional Topics**

23.1 Synthetic Division

23.2 Solving Systems of Linear Equations Using Matrices

23.3 Determinants of Cramer's Rule

Appendix A. Tables

Appendix B. Geometric Formulas