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Title Page

Copyright Page

About the Authors

Brief Contents

Table of Contents

CHAPTER 1 The Real Number System and Geometry

Study Strategies: The P.O.W.E.R. Framework

Section 1.1 Review of Fractions

Section 1.2 Exponents and Order of Operations

Section 1.3 Geometry Review

Section 1.4 Sets of Numbers and Absolute Value

Section 1.5 Addition and Subtraction of Real Numbers

Section 1.6 Multiplication and Division of Real Numbers

Section 1.7 Algebraic Expressions and Properties of Real Numbers

Group Activity

emPOWERme: Measuring Your Math Confidence

Chapter 1 Summary

Chapter 1 Review Exercises

Chapter 1 Test

CHAPTER 2 Rules of Exponents

Study Strategies: Reading Math (and Other) Textbooks

Section 2.1 Basic Rules of Exponents

Part A: The Product Rule and Power Rules

Part B: Combining the Rules

Section 2.2 Integer Exponents

Part A: Real-Number Bases

Part B: Variable Bases

Section 2.3 The Quotient Rule

Putting It All Together

Section 2.4 Scientific Notation

Group Activity

emPOWERme: Discover Your Reading Style

Chapter 2 Summary

Chapter 2 Review Exercises

Chapter 2 Test

Cumulative Review for Chapters 1-2

CHAPTER 3 Linear Equations and Inequalities in One Variable

Study Strategies: Time Management

Section 3.1 Solving Linear Equations Part I

Section 3.2 Solving Linear Equations Part II

Section 3.3 Applications of Linear Equations

Section 3.4 Applications Involving Percents

Section 3.5 Geometry Applications and Solving Formulas

Section 3.6 Applications of Linear Equations to Proportions, Money Problems, and d 55=rt

Section 3.7 Linear Inequalities in One Variable

Section 3.8 Compound Inequalities in One Variable

Group Activity

emPOWERme: Find Your Time Style

Chapter 3 Summary

Chapter 3 Review Exercises

Chapter 3 Test

Cumulative Review for Chapters 1-3

CHAPTER 4 Linear Equations in Two Variables and Functions

Study Strategies: Taking Notes in Class

Section 4.1 Introduction to Linear Equations in Two Variables

Section 4.2 Graphing by Plotting Points and Finding Intercepts

Section 4.3 The Slope of a Line

Section 4.4 The Slope-Intercept Form of a Line

Section 4.5 Writing an Equation of a Line

Section 4.6 Introduction to Functions

Group Activity

emPOWERme: Evaluate Your Class Notes

Chapter 4 Summary

Chapter 4 Review Exercises

Chapter 4 Test

Cumulative Review for Chapters 1-4

CHAPTER 5 Solving Systems of Linear Equations

Study Strategies: Taking Math Tests

Section 5.1 Solving Systems by Graphing

Section 5.2 Solving Systems by the Substitution Method

Section 5.3 Solving Systems by the Elimination Method

Putting It All Together

Section 5.4 Applications of Systems of Two Equations

Section 5.5 Solving Systems of Three Equations and Applications

Section 5.6 Solving Systems of Linear Equations Using Matrices

Group Activity

emPOWERme: Studying Smart

Chapter 5 Summary

Chapter 5 Review Exercises

Chapter 5 Test

Cumulative Review for Chapters 1-5

CHAPTER 6 Polynomials

Study Strategies: Doing Math Homework

Section 6.1 Review of the Rules of Exponents

Section 6.2 Addition and Subtraction of Polynomials

Section 6.3 Multiplication of Polynomials

Section 6.4 Division of Polynomials

Group Activity

emPOWERme: The Right Time and Place for Homework

Chapter 6 Summary

Chapter 6 Review Exercises

Chapter 6 Test

Cumulative Review for Chapters 1-6

CHAPTER 7 Factoring Polynomials

Study Strategies: Making Academic Choices

Section 7.1 The Greatest Common Factor and Factoring by Grouping

Section 7.2 Factoring Trinomials of the Form x2 + bx + c

Section 7.3 Factoring Trinomials of the Form ax2 + bx + c (a 1)

Section 7.4 Factoring Special Trinomials and Binomials

Putting It All Together

Section 7.5 Solving Quadratic Equations by Factoring

Section 7.6 Applications of Quadratic Equations

Group Activity

emPOWERme: Identify Major Attractions

Chapter 7 Summary

Chapter 7 Review Exercises

Chapter 7 Test

Cumulative Review for Chapters 1-7

CHAPTER 8 Rational Expressions

Study Strategies: Coping with Stress

Section 8.1 Rational Expressions and Functions

Section 8.2 Multiplying and Dividing Rational Expressions

Section 8.3 Finding the Least Common Denominator

Section 8.4 Adding and Subtracting Rational Expressions

Putting It All Together

Section 8.5 Simplifying Complex Fractions

Section 8.6 Solving Rational Equations

Section 8.7 Applications of Rational Equations

Section 8.8 Variation

Group Activity

emPOWERme: Determine Your Risk for Stress-Related Illness

Chapter 8 Summary

Chapter 8 Review Exercises

Chapter 8 Test

Cumulative Review for Chapters 1-8

CHAPTER 9 More Equations and Inequalities

Study Strategies: Working with Technology

Section 9.1 Absolute Value Equations

Section 9.2 Absolute Value Inequalities

Section 9.3 Linear and Compound Linear Inequalities in Two Variables

Group Activity

emPOWERme: Information, Please!

Chapter 9 Summary

Chapter 9 Review Exercises

Chapter 9 Test

Cumulative Review for Chapters 1-9

CHAPTER 10 Radicals and Rational Exponents

Study Strategies: Working with a Study Group

Section 10.1 Finding Roots

Section 10.2 Rational Exponents

Section 10.3 Simplifying Expressions Containing Square Roots

Section 10.4 Simplifying Expressions Containing Higher Roots

Section 10.5 Adding, Subtracting, and Multiplying Radicals

Section 10.6 Dividing Radicals

Putting It All Together

Section 10.7 Solving Radical Equations

Section 10.8 Complex Numbers

Group Activity

emPOWERme: Form a Study Group

Chapter 10 Summary

Chapter 10 Review Exercises

Chapter 10 Test

Cumulative Review for Chapters 1-10

CHAPTER 11 Quadratic Equations

Study Strategies: Creating Visuals

Section 11.1 Review of Solving Equations by Factoring

Section 11.2 The Square Root Property and Completing the Square

Section 11.3 The Quadratic Formula

Putting It All Together

Section 11.4 Equations in Quadratic Form

Section 11.5 Formulas and Applications

Group Activity

emPOWERme: What’s Your Learning Style?

Chapter 11 Summary

Chapter 11 Review Exercises

Chapter 11 Test

Cumulative Review for Chapters 1-11

CHAPTER 12 Functions and Their Graphs

Study Strategies: Developing Financial Literacy

Section 12.1 Relations and Functions

Section 12.2 Graphs of Functions and Transformations

Section 12.3 Quadratic Functions and Their Graphs

Section 12.4 Applications of Quadratic Functions and Graphing Other Parabolas

Section 12.5 Quadratic and Rational Inequalities

Section 12.6 The Algebra of Functions

Group Activity

emPOWERme: Determine Your Saving Style

Chapter 12 Summary

Chapter 12 Review Exercises

Chapter 12 Test

Cumulative Review for Chapters 1-12

CHAPTER 13 Exponential and Logarithmic Functions

Study Strategies: Using the Internet for Studying

Section 13.1 Inverse Functions

Section 13.2 Exponential Functions

Section 13.3 Logarithmic Functions

Section 13.4 Properties of Logarithms

Section 13.5 Common and Natural Logarithms and Change of Base

Section 13.6 Solving Exponential and Logarithmic Equations

Group Activity

emPOWERme: Should You Use the Internet to Supplement Your Learning?

Chapter 13 Summary

Chapter 13 Review Exercises

Chapter 13 Test

Cumulative Review for Chapters 1-13

CHAPTER 14 Conic Sections, Nonlinear Systems, and Nonlinear Inequalities

Study Strategies: Improving Your Memory

Section 14.1 The Circle

Section 14.2 The Ellipse and the Hyperbola

Putting It All Together

Section 14.3 Nonlinear Systems of Equations

Section 14.4 Second-Degree Inequalities and Systems of Inequalities

Group Activity

emPOWERme: Memory Devices

Chapter 14 Summary

Chapter 14 Review Exercises

Chapter 14 Test

Cumulative Review for Chapters 1-14

Answers to Exercises

Credits

Index