# Introductory Algebra with P.O.W.E.R. Learning

1^{st}Edition

Copyright: 2014

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### Program Details

# 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 1.1 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 Properties of Real Numbers

#### Section 1.8 Simplifying 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 2.1 Solving Linear Equations Part I

#### Section 2.2 Solving Linear Equations Part II

#### Section 2.3 Solving Linear Equations Part III

#### Section 2.4 Applications of Linear Equations

#### Section 2.5 Geometry Applications and Solving Formulas

#### Section 2.6 Ratios and Proportions

#### Section 2.7 Applications 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 12

### Chapter 3: Linear Equations in Two Variables

#### Study Strategies: Time Management

#### Section 3.1 Introduction to Linear Equations in Two Variables

#### Section 3.2 Graphing by Plotting Points and Finding Intercepts

#### Section 3.3 The Slope of a Line

#### Section 3.4 The Slope-Intercept Form of a Line

#### Section 3.5 Writing an Equation of a Line

#### emPOWERme: Find Your Time Style

#### Chapter 3 Summary

#### Chapter 3 Review

#### Chapter 3 Test

#### Cumulative Review Chapters 13

### Chapter 4 : Linear Equations and Inequalities in Two Variables

#### Study Strategies: Taking Notes in Class

#### Section 4.1 Solving Systems by Graphing

#### Section 4.2 Solving Systems by the Substitution Method

#### Section 4.3 Solving Systems by the Elimination Method

vPutting It All Together#### Section 4.4 Applications of Systems of Two Equations

#### Section 4.5 Linear Inequalities in Two Variables

#### emPOWERme: Evaluate Your Class Notes

#### Chapter 4 Review

#### Chapter 4 Test

#### Cumulative Review for Chapters 14

### Chapter 5: Rules of Exponents

#### Study Strategies: Taking Math Tests

#### Section 5.1 Basic Rules of Exponents

#### Part A: The Product Rule and Power Rules

#### Part B: Combining the Rules

#### Section 5.2 Integer Exponents

#### Part A: Real-Number Bases

#### Part B: Variable Bases

#### Section 5.3 The Quotient Rule

#### Putting It All Together

#### Section 5.4 Scientific Notation

#### emPOWERme: Math Test Preparation Checklist

#### Chapter 5 Summary

#### Chapter 5 Review

#### Chapter 5 Test

#### Cumulative Review for Chapters 15

### Chapter 6: Polynomials

#### Study Strategies: Doing Math Homework

#### Section 6.1 Addition and Subtraction of Polynomials

#### Section 6.2 Multiplication of Polynomials

#### Section 6.3 Dividing a Polynomial by a Monomial

#### Section 6.4 Dividing a Polynomial by a Polynomial

#### emPOWERme: What’s Different About College?

#### Chapter 6 Summary

#### Chapter 6 Review

#### Chapter 6 Test

#### Cumulative Review Chapters 16

### 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

#### Section 7.3 Factoring Trinomials of the Form (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

#### emPOWERme: Identify Major Attractions

#### Chapter 7 Summary

#### Chapter 7 Review

#### Chapter 7 Test

#### Cumulative Review Chapters 17

### Chapter 8: Rational Expressions

#### Study Strategies: Coping with Stress

#### Section 8.1 Simplifying Rational Expressions

#### 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 and Variation

#### emPOWERme: Determine Your Risk for Stress-Related Illness

#### Chapter 8 Summary

#### Chapter 8 Review

#### Chapter 8 Test

#### Cumulative Review Chapters 18

### Chapter 9: Roots and Radicals

#### Study Strategies: Working with a Study Group

#### Section 9.1 Finding Roots

#### Section 9.2 Simplifying Radicals, the Product and Quotient Rules

#### Section 9.3 Adding and Subtracting Radicals

#### Section 9.4 Combining Operations on Radicals

#### Section 9.5 Dividing Radicals

#### Section 9.6 Solving Radical Equations

#### emPOWERme: Form a Study Group

#### Chapter 9 Summary

#### Chapter 9 Review

#### Chapter 9 Test

#### Cumulative Review for Chapters 19

### Chapter 10: Quadratic Equations

#### Study Strategies: Creating Visuals

#### Section 10.1 Solving Quadratic Equations Using the Square Root Property

#### Section 10.2 Solving Quadratic Equations by Completing the Square

#### Section 10.3 Solving Quadratic Equations Using the Quadratic Formula

#### Putting It All Together

#### Section 10.4 Graphs of Quadratic Equations

#### Section 10.5 Introduction to Functions

#### emPOWERme: What’s Your Learning Style?

#### Chapter 10 Summary

#### Chapter 10 Review

#### Chapter 10 Test

#### Cumulative Review for Chapters 110

### Appendix

#### Appendix A.1 Decimals

#### Appendix A.2 Percents

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

# 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 1.1 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 Properties of Real Numbers

#### Section 1.8 Simplifying 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 2.1 Solving Linear Equations Part I

#### Section 2.2 Solving Linear Equations Part II

#### Section 2.3 Solving Linear Equations Part III

#### Section 2.4 Applications of Linear Equations

#### Section 2.5 Geometry Applications and Solving Formulas

#### Section 2.6 Ratios and Proportions

#### Section 2.7 Applications 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 12

### Chapter 3: Linear Equations in Two Variables

#### Study Strategies: Time Management

#### Section 3.1 Introduction to Linear Equations in Two Variables

#### Section 3.2 Graphing by Plotting Points and Finding Intercepts

#### Section 3.3 The Slope of a Line

#### Section 3.4 The Slope-Intercept Form of a Line

#### Section 3.5 Writing an Equation of a Line

#### emPOWERme: Find Your Time Style

#### Chapter 3 Summary

#### Chapter 3 Review

#### Chapter 3 Test

#### Cumulative Review Chapters 13

### Chapter 4 : Linear Equations and Inequalities in Two Variables

#### Study Strategies: Taking Notes in Class

#### Section 4.1 Solving Systems by Graphing

#### Section 4.2 Solving Systems by the Substitution Method

#### Section 4.3 Solving Systems by the Elimination Method

vPutting It All Together#### Section 4.4 Applications of Systems of Two Equations

#### Section 4.5 Linear Inequalities in Two Variables

#### emPOWERme: Evaluate Your Class Notes

#### Chapter 4 Review

#### Chapter 4 Test

#### Cumulative Review for Chapters 14

### Chapter 5: Rules of Exponents

#### Study Strategies: Taking Math Tests

#### Section 5.1 Basic Rules of Exponents

#### Part A: The Product Rule and Power Rules

#### Part B: Combining the Rules

#### Section 5.2 Integer Exponents

#### Part A: Real-Number Bases

#### Part B: Variable Bases

#### Section 5.3 The Quotient Rule

#### Putting It All Together

#### Section 5.4 Scientific Notation

#### emPOWERme: Math Test Preparation Checklist

#### Chapter 5 Summary

#### Chapter 5 Review

#### Chapter 5 Test

#### Cumulative Review for Chapters 15

### Chapter 6: Polynomials

#### Study Strategies: Doing Math Homework

#### Section 6.1 Addition and Subtraction of Polynomials

#### Section 6.2 Multiplication of Polynomials

#### Section 6.3 Dividing a Polynomial by a Monomial

#### Section 6.4 Dividing a Polynomial by a Polynomial

#### emPOWERme: What’s Different About College?

#### Chapter 6 Summary

#### Chapter 6 Review

#### Chapter 6 Test

#### Cumulative Review Chapters 16

### 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

#### Section 7.3 Factoring Trinomials of the Form (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

#### emPOWERme: Identify Major Attractions

#### Chapter 7 Summary

#### Chapter 7 Review

#### Chapter 7 Test

#### Cumulative Review Chapters 17

### Chapter 8: Rational Expressions

#### Study Strategies: Coping with Stress

#### Section 8.1 Simplifying Rational Expressions

#### 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 and Variation

#### emPOWERme: Determine Your Risk for Stress-Related Illness

#### Chapter 8 Summary

#### Chapter 8 Review

#### Chapter 8 Test

#### Cumulative Review Chapters 18

### Chapter 9: Roots and Radicals

#### Study Strategies: Working with a Study Group

#### Section 9.1 Finding Roots

#### Section 9.2 Simplifying Radicals, the Product and Quotient Rules

#### Section 9.3 Adding and Subtracting Radicals

#### Section 9.4 Combining Operations on Radicals

#### Section 9.5 Dividing Radicals

#### Section 9.6 Solving Radical Equations

#### emPOWERme: Form a Study Group

#### Chapter 9 Summary

#### Chapter 9 Review

#### Chapter 9 Test

#### Cumulative Review for Chapters 19

### Chapter 10: Quadratic Equations

#### Study Strategies: Creating Visuals

#### Section 10.1 Solving Quadratic Equations Using the Square Root Property

#### Section 10.2 Solving Quadratic Equations by Completing the Square

#### Section 10.3 Solving Quadratic Equations Using the Quadratic Formula

#### Putting It All Together

#### Section 10.4 Graphs of Quadratic Equations

#### Section 10.5 Introduction to Functions

#### emPOWERme: What’s Your Learning Style?

#### Chapter 10 Summary

#### Chapter 10 Review

#### Chapter 10 Test

#### Cumulative Review for Chapters 110

### Appendix

#### Appendix A.1 Decimals

#### Appendix A.2 Percents

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

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##### Loose Leaf for Introductory Algebra with P.O.W.E.R. Learning

1^{st} Edition

ISBN10: 0077799860

ISBN13: 9780077799861

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