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

• Mid-Chapter 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

• Mid-Chapter 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

• Mid-Chapter 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

• Mid-Chapter 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

• Mid-Chapter 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 x2 + 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

• Mid-Chapter 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

• Mid-Chapter 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

• Mid-Chapter 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

• Mid-Chapter 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, Range and Introduction to Statistics/Mode

E. Tables

Contents of Student Resources

Student Resources

Study Skills Builders

Bigger Picture: Study Guide Outline

Practice Final Exam