## Table of Contents

**1. Review of Real Numbers**

1.1 Study Skill Tips for Success in Mathematics

1.2 Symbols and Sets of Numbers

1.3 Fractions and Mixed Numbers

1.4 Exponents, Order of Operations, Variable Expressions, and Equations

1.5 Adding Real Numbers

1.6 Subtracting Real Numbers

Integrated Review–Operations on Real Numbers

1.7 Multiplying and Dividing Real Numbers

1.8 Properties of Real Numbers

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

2.1 Simplifying Algebraic Expressions

2.2 The Addition Property of Equality

2.3 The Multiplication Property of Equality

2.4 Solving Linear Equations

Integrated Review–Solving Linear Equations

2.5 An Introduction to Problem Solving

2.6 Formulas and Problem Solving

2.7 Percent and Mixture Problem Solving

2.8 Further Problem Solving

2.9 Solving Linear Inequalities

**3. Graphing**

3.1 Reading Graphs and the Rectangular Coordinate System

3.2 Graphing Linear Equations

3.3 Intercepts

3.4 Slope and Rate of Change

Integrated Review–Summary on Slope and Graphing Linear Equations

3.5 Equations of Lines

3.6 Functions

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

4.1 Solving Systems of Linear Equations by Graphing

4.2 Solving Systems of Linear Equations by Substitution

4.3 Solving Systems of Linear Equations by Addition

Integrated Review–Solving Systems of Equations

4.4 Systems of Linear Equations and Problem Solving

4.5 Graphing Linear Inequalities

4.6 Systems of Linear Inequalities

** **

**5. Exponents and Polynomials **

5.1 Exponents

5.2 Adding and Subtracting Polynomials

5.3 Multiplying Polynomials

5.4 Special Products

Integrated Review–Exponents and Operations on Polynomials

5.5 Negative Exponents and Scientific Notation

5.6 Dividing Polynomials

**6. Factoring Polynomials **

6.1 The Greatest Common Factor and Factoring by Grouping

6.2 Factoring Trinomials of the Form x 2 + bx + c

6.3 Factoring Trinomials of the Form ax2 + bx + c and Perfect Square Trinomials

6.4 Factoring Trinomials of the Form ax2 + bx + c by Grouping

6.5 Factoring Binomials

Integrated Review–Choosing a Factoring Strategy

6.6 Solving Quadratic Equations by Factoring

6.7 Quadratic Equations and Problem Solving

**7. Rational Expressions **

7.1 Simplifying Rational Expressions

7.2 Multiplying and Dividing Rational Expressions

7.3 Adding and Subtracting Rational Expressions with Common Denominators and Least

Common Denominator

7.4 Adding and Subtracting Rational Expressions with Unlike Denominators

7.5 Solving Equations Containing Rational Expressions

Integrated Review–Summary on Rational Expressions

7.6 Proportion and Problem Solving with Rational Equations

7.7 Variation and Problem Solving

7.8 Simplifying Complex Fractions

**8. Roots and Radicals **

8.1 Introduction to Radicals

8.2 Simplifying Radicals

8.3 Adding and Subtracting Radicals

8.4 Multiplying and Dividing Radicals

Integrated Review–Simplifying Radicals

8.5 Solving Equations Containing Radicals

8.6 Radical Equations and Problem Solving

8.7 Rational Exponents

**9. Quadratic Equations **

9.1 Solving Quadratic Equations by the Square Root Property

9.2 Solving Quadratic Equations by Completing the Square

9.3 Solving Quadratic Equations by the Quadratic Formula

Integrated Review–Summary on Solving Quadratic Equations

9.4 Complex Solutions of Quadratic Equations

9.5 Graphing Quadratic Equations

**Appendices**

A Geometry

B Additional Exercises on Proportion and Proportion Applications

C Operations on Decimals

D Mean, Median, and Mode

E Tables

Contents of Student Resources

Student Resources

Study Skills Builders

Bigger Picture–Study Guide Outline

Practice Final Exam