Introductory Algebra with P.O.W.E.R. Learning, First Edition

Chapter 1: The Real Number System and Geometry

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

Section 1.1Review of Fractions

Section 1.2Exponents and Order of Operations

Section 1.3Geometry Review

Section 1.4Sets of Numbers and Absolute Value

Section 1.5Addition and Subtraction of Real Numbers

Section 1.6Multiplication and Division of Real Numbers

Section 1.7Properties of Real Numbers

Section 1.8Simplifying Algebraic Expressions

emPOWERme: Measuring Your Math Confidence

Chapter 1 Summary

Chapter 1 Review

Chapter 1 Test

Chapter 2: Linear Equations and Inequalities

Study Strategies: Reading Math (and Other) Textbooks

Section 2.1Solving Linear Equations Part I

Section 2.2Solving Linear Equations Part II

Section 2.3Solving Linear Equations Part III

Section 2.4Applications of Linear Equations

Section 2.5Geometry Applications and Solving Formulas

Section 2.6Ratios and Proportions

Section 2.7Applications of Percents

Section 2.8 Solving Linear Inequalities in One Variable

emPOWERme: Discover Your Reading Style

Chapter 2 Summary

Chapter 2 Review

Chapter 2 Test

Cumulative Review for Chapters 12

Chapter 3: Linear Equations in Two Variables

Study Strategies: Time Management

Section 3.1Introduction to Linear Equations in Two Variables

Section 3.2Graphing by Plotting Points and Finding Intercepts

Section 3.3The Slope of a Line

Section 3.4The Slope-Intercept Form of a Line

Section 3.5Writing an Equation of a Line

emPOWERme: Find Your Time Style

Chapter 3 Summary

Chapter 3 Review

Chapter 3 Test

Cumulative Review Chapters 13

Chapter 4: Linear Equations and Inequalities in Two Variables

Study Strategies: Taking Notes in Class

Section 4.1Solving Systems by Graphing

Section 4.2Solving Systems by the Substitution Method

Section 4.3Solving Systems by the Elimination Method

vPutting It All Together

Section 4.4Applications of Systems of Two Equations

Section 4.5Linear Inequalities in Two Variables

emPOWERme: Evaluate Your Class Notes

Chapter 4 Review

Chapter 4 Test

Cumulative Review for Chapters 14

Chapter 5: Rules of Exponents

Study Strategies: Taking Math Tests

Section 5.1Basic Rules of Exponents

Part A:The Product Rule and Power Rules

Part B:Combining the Rules

Section 5.2Integer Exponents

Part A:Real-Number Bases

Part B:Variable Bases

Section 5.3The Quotient Rule

Putting It All Together

Section 5.4Scientific Notation

emPOWERme: Math Test Preparation Checklist

Chapter 5 Summary

Chapter 5 Review

Chapter 5 Test

Cumulative Review for Chapters 15

Chapter 6Polynomials

Study Strategies: Doing Math Homework

Section 6.1Addition and Subtraction of Polynomials

Section 6.2Multiplication of Polynomials

Section 6.3Dividing a Polynomial by a Monomial

Section 6.4Dividing a Polynomial by a Polynomial

emPOWERme: What''s Different About College?

Chapter 6 Summary

Chapter 6 Review

Chapter 6 Test

Cumulative Review Chapters 16

Chapter 7Factoring Polynomials

Study Strategies: Making Academic Choices

Section 7.1The Greatest Common Factor and Factoring by Grouping

Section 7.2Factoring Trinomials of the Form

Section 7.3Factoring Trinomials of the Form (a  1)

Section 7.4Factoring Special Trinomials and Binomials

Putting It All Together

Section 7.5Solving Quadratic Equations by Factoring

Section 7.6Applications of Quadratic Equations

emPOWERme: Identify Major Attractions

Chapter 7 Summary

Chapter 7 Review

Chapter 7 Test

Cumulative Review Chapters 17

Chapter 8Rational Expressions

Study Strategies: Coping with Stress

Section 8.1Simplifying Rational Expressions

Section 8.2Multiplying and Dividing Rational Expressions

Section 8.3Finding the Least Common Denominator

Section 8.4Adding and Subtracting Rational Expressions

Putting It All Together

Section 8.5Simplifying Complex Fractions

Section 8.6Solving Rational Equations

Section 8.7Applications of Rational Equations and Variation

emPOWERme: Determine Your Risk for Stress-Related Illness

Chapter 8 Summary

Chapter 8 Review

Chapter 8 Test

Cumulative Review Chapters 18

Chapter 9Roots and Radicals

Study Strategies: Working with a Study Group

Section 9.1Finding Roots

Section 9.2Simplifying Radicals, the Product and Quotient Rules

Section 9.3Adding and Subtracting Radicals

Section 9.4Combining Operations on Radicals

Section 9.5Dividing Radicals

Section 9.6Solving Radical Equations

emPOWERme: Form a Study Group

Chapter 9 Summary

Chapter 9 Review

Chapter 9 Test

Cumulative Review for Chapters 19

Chapter 10: Quadratic Equations

Study Strategies: Creating Visuals

Section 10.1Solving Quadratic Equations Using the Square Root Property

Section 10.2Solving Quadratic Equations by Completing the Square

Section 10.3Solving Quadratic Equations Using the Quadratic Formula

Putting It All Together

Section 10.4Graphs of Quadratic Equations

Section 10.5Introduction to Functions

emPOWERme: What''s Your Learning Style?

Chapter 10 Summary

Chapter 10 Review

Chapter 10 Test

Cumulative Review for Chapters 110

Appendix

Appendix A.1Decimals

Appendix A.2Percents

Appendix A.3Factoring the Sum and Difference of Two Cubes