## Table of Contents

Table of Contents

R. Prealgebra Review

R.1 Fractions

R.2 Decimals and Percents

Study Skills Using Your Math Text

**1. The Real Number System**

**1.1 **Exponents, Order of Operations, and Inequality

**Study Skills **Taking Lecture Notes

**1.2 **Variables, Expressions, and Equations

**Study Skills **Reading Your Math Text

**1.3 **Real Numbers and the Number Line

**Study Skills **Using Study Cards

**1.4 **Adding Real Numbers

**1.5 **Subtracting Real Numbers

**Study Skills **Completing Your Homework

**1.6 **Multiplying and Dividing Real Numbers

*Summary Exercises **Performing Operations with Real Numbers*

**1.7 **Properties of Real Numbers

**1.8 **Simplifying Expressions

**Study Skills **Reviewing a Chapter

**2. Equations, Inequalities, and Applications **

2.1 The Addition Property of Equality

**Study Skills **Managing Your Time

**2.2 **The Multiplication Property of Equality

**2.3 **More on Solving Linear Equations

**Study Skills **Using Study Cards Revisited

*Summary Exercises **Applying Methods for Solving Linear Equations*

**2.4 **An Introduction to Applications of Linear Equations

**2.5 **Formulas and Additional Applications from Geometry

**2.6 **Ratio, Proportion, and Percent

*Summary Exercises **Applying Problem-Solving Techniques*

**2.7 **Solving Linear Inequalities

**Study Skills **Taking Math Tests

**3. Graphs of Linear Equations and Inequalities in Two Variables**

**3.1 **Linear Equations and Rectangular Coordinates

**Study Skills **Analyzing Your Test Results

**3.2 **Graphing Linear Equations in Two Variables

**3.3 **The Slope of a Line

**Study Skills **Preparing for Your Math Final Exam

**3.4 **Slope-Intercept Form of a Linear Equation

**3.5 **Point-Slope Form of a Linear Equation and Modeling

*Summary Exercises **Applying Graphing and*

*Equation-Writing Techniques for Lines*

**3.6 **Graphing Linear Inequalities in Two Variables

**4. 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 Elimination

*Summary Exercises **Applying Techniques for Solving Systems of Linear Equations*

**4.4 **Applications of Linear Systems

**4.5 **Solving Systems of Linear Inequalities

**5. Exponents and Polynomials**

**5.1 **The Product Rule and Power Rules for Exponents

**5.2 **Integer Exponents and the Quotient Rule

*Summary Exercises **Applying the Rules for Exponents*

**5.3 **An Application of Exponents: Scientific Notation

**5.4 **Adding and Subtracting Polynomials

**5.5 **Multiplying Polynomials

**5.6 **Special Products

**5.7 **Dividing a Polynomial by a Monomial

**5.8 **Dividing a Polynomial by a Polynomial

**6. Factoring and Applications**

**6.1 **Greatest Common Factors; Factor by Grouping

**6.2 **Factoring Trinomials

**6.3 **Factoring Trinomials by Grouping

**6.4 **Factoring Trinomials Using the FOIL Method

**6.5 **Special Factoring Techniques

*Summary Exercises **Recognizing and Applying Factoring Strategies*

**6.6 **Solving Quadratic Equations Using the Zero-Factor Property

**6.7 **Applications of Quadratic Equations

**7. Rational Expressions and Applications**

**7.1 **The Fundamental Property of Rational Expressions

**7.2 **Multiplying and Dividing Rational Expressions

**7.3 **Least Common Denominators

**7.4 **Adding and Subtracting Rational Expressions

**7.5 **Complex Fractions

**7.6 **Solving Equations with Rational Expressions

*Summary Exercises **Simplifying Rational Expressions vs. Solving Rational Equations*

**7.7 **Applications of Rational Expressions

**7.8 **Variation

**8. Roots and Radicals**

**8.1 **Evaluating Roots

**8.2 **Multiplying, Dividing, and Simplifying Radicals

**8.3 **Adding and Subtracting Radicals

**8.4 **Rationalizing the Denominator

**8.5 **More Simplifying and Operations with Radicals

*Summary Exercises **Applying Operations with Radicals*

**8.6 **Solving Equations with Radicals

**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

*Summary Exercises **Applying Methods for Solving Quadratic Equations*

**9.4 **Graphing Quadratic Equations

**9.5 **Introduction to Functions

**Appendix: Factoring Sums and Differences of Cubes**