Preface
Study Skills: Using Your Math Textbook
R. Prealgebra Review
R.1 Fractions
R.2 Decimals and Percents
Study Skills: Reading Your Math Textbook
1. The Real Number System
1.1 Exponents, Order of Operations, and Inequality
Study Skills: Taking Lecture Notes
1.2 Variables, Expressions, and Equations
1.3 Real Numbers and the Number Line
Study Skills: Completing Your Homework
1.4 Adding and Subtracting Real Numbers
Study Skills: Using Study Cards
1.5 Multiplying and Dividing Real Numbers
Summary Exercises: Performing Operations with Real Numbers
1.6 Properties of Real Numbers
1.7 Simplifying Expressions
Study Skills: Reviewing a Chapter
Chapter 1 Summary
Chapter 1 Review Exercises
Chapter 1 Mixed Review Exercises
Chapter 1 Test
2. Linear Equations and Inequalities in One Variable
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 Applications of Linear Equations
2.5 Formulas and Additional Applications from Geometry
2.6 Ratio, Proportion, and Percent
2.7 Further Applications of Linear Equations
2.8 Solving Linear Inequalities
Study Skills: Taking Math Tests
Chapter 2 Summary
Chapter 2 Review Exercises
Chapter 2 Mixed Review Exercises
Chapter 2 Test
Chapters R—2 Cumulative Review Exercises
3. Linear Equations and Inequalities in Two Variables; Functions
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
3.7 Introduction to Functions
Chapter 3 Summary
Chapter 3 Review Exercises
Chapter 3 Mixed Review Exercises
Chapter 3 Test
Chapters R—3 Cumulative Review Exercises
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
Chapter 4 Summary
Chapter 4 Review Exercises
Chapter 4 Mixed Review Exercises
Chapter 4 Test
Chapters R—4 Cumulative Review Exercises
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 Scientific Notation
5.4 Adding, Subtracting, and Graphing Polynomials
5.5 Multiplying Polynomials
5.6 Special Products
5.7 Dividing Polynomials
Chapter 5 Summary
Chapter 5 Review Exercises
Chapter 5 Mixed Review Exercises
Chapter 5 Test
Chapters R—5 Cumulative Review Exercises
6. Factoring and Applications
6.1 The Greatest Common Factor; Factoring by Grouping
6.2 Factoring Trinomials
6.3 More on Factoring Trinomials
6.4 Special Factoring Techniques
Summary Exercises: Recognizing and Applying Factoring Strategies
6.5 Solving Quadratic Equations Using the Zero-Factor Property
6.6 Applications of Quadratic Equations
Chapter 6 Summary
Chapter 6 Review Exercises
Chapter 6 Mixed Review Exercises
Chapter 6 Test
Chapters R—6 Cumulative Review Exercises
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
Chapter 7 Summary
Chapter 7 Review Exercises
Chapter 7 Mixed Review Exercises
Chapter 7 Test
Chapters R—7 Cumulative Review Exercises
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
Chapter 8 Summary
Chapter 8 Review Exercises
Chapter 8 Mixed Review Exercises
Chapter 8 Test
Chapters R—8 Cumulative Review Exercises
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
Chapter 9 Summary
Chapter 9 Review Exercises
Chapter 9 Mixed Review Exercises
Chapter 9 Test
Chapters R—9 Cumulative Review Exercises
Answers to Selected Exercises
Glossary
Credits
Index
Additional topics available in MyMathLab: Using Rational Numbers as Exponents; Complex Numbers; Sets; Introduction to Calculators