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

2^{nd}Edition

ISBN10: 1259610241

ISBN13: 9781259610240

Copyright: 2018

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### Program Details

# Intermediate Algebra with P.O.W.E.R. Learning, 2nd Edition

### Chapter 1: Real Numbers and Algebraic Expressions

#### Study Strategies: An Introduction to the P.O.W.E.R. Framework

#### Study Strategies: Using P.O.W.E.R. to Succeed in Your Course

#### Section 1.1 Set of Numbers

#### Section 1.2 Operations on Real Numbers

#### Section 1.3 Exponents, Roots, and Order of Operations

#### Section 1.4 Algebraic Expressions and Properties of Real Numbers

#### Group Activity

#### emPOWERme: Why Am I Going to College?

#### Chapter Summary

#### Chapter Review

#### Chapter Test

### Chapter 2: Linear Equations in One Variable

#### Study Strategies: How to Read Math (and Other) Textbooks

#### Section 2.1 Linear Equations in One Variable

#### Section 2.2 Applications of Linear Equations

#### Section 2.3 Geometry Applications and Solving Formulas

#### Section 2.4 More Applications of Linear Equations

#### Group Activity

#### emPOWERme: Organize Your Memory

#### Chapter Summary

#### Chapter Review

#### Chapter Test

#### Cumulative Review for Chapters 1 and 2

### Chapter 3: Linear Inequalities and Absolute Value

#### Study Strategies: Time Management

#### Section 3.1 Linear Inequalities in One Variable

#### Section 3.2 Compound Inequalities in One Variable

#### Section 3.3 Absolute Value Equations and Inequalities

#### Group Activity

#### emPOWERme: Identify the Black Holes of Time Management

#### Chapter Summary

#### Chapter Review

#### Chapter 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 Slope of a Line and Slope-Intercept Form

#### Section 4.3 Writing an Equation of a Line

#### Section 4.4 Linear and Compound Linear Inequalities in Two Variables

#### Section 4.5 Introduction to Functions

#### Group Activity

#### emPOWERme: Checklist for Effective Notes

#### Chapter Summary

#### Chapter Review

#### Chapter Test

#### Cumulative Review for Chapters 1 – 4

### Chapter 5: Solving Systems of Linear Equations

#### Study Strategies: Taking Math Tests

#### Section 5.1 Solving Systems of Linear Equations in Two Variables

#### Section 5.2 Solving Systems of Linear Equations in Three Variables

#### Section 5.3 Applications of Systems of Linear Equations

#### Section 5.4 Solving Systems of Linear Equations Using Matrices

#### Group Activity

#### emPOWERme: What is My Test-Taking Style?

#### Chapter Summary

#### Chapter Review

#### Chapter Test

#### Cumulative Review for Chapters 1 – 5

### Chapter 6: Polynomials and Polynomial Functions

#### Study Strategies: Doing Math Homework

#### Section 6.1 The Rules of Exponents

#### Section 6.2 More on Exponents and Scientific Notation

#### Section 6.3 Addition and Subtraction of Polynomials and Polynomial

#### Functions

#### Section 6.4 Multiplication of Polynomials and Polynomial Functions

#### Section 6.5 Division of Polynomials and Polynomial Functions

#### Group Activity

#### emPOWERme: The Right Time and Place for Homework

#### Chapter Summary

#### Chapter Review

#### Chapter Test

#### Cumulative Review for Chapters 1 – 6

### Chapter 7: Factoring Polynomials

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

#### Section 7.1 The Greatest Common Factor and Factoring by Grouping

#### Section 7.2 Factoring Trinomials

#### Section 7.3 Special Factoring Techniques

#### Putting It All Together

#### Section 7.4 Solving Quadratic Equations by Factoring

#### Section 7.5 Applications of Quadratic Equations

#### Group Activity

#### emPOWERme: What is My Studying Style?

#### Chapter Summary

#### Chapter Review

#### Chapter Test

#### Cumulative Review for Chapters 1 – 7

### Chapter 8: Rational Expressions, Equations, and Functions

#### Study Strategies: The Writing Process

#### Section 8.1 Simplifying, Multiplying, and Dividing Rational Expressions and Functions

#### Section 8.2 Adding and Subtracting Rational Expressions

#### Section 8.3 Simplifying Complex Fractions

#### Section 8.4 Solving Rational Equations

#### Putting It All Together

#### Section 8.5 Application of Rational Equations

#### Section 8.6 Variation

#### Group Activity

#### emPOWERme: Writing Clearly

#### Chapter Summary

#### Chapter Review

#### Chapter Test

#### Cumulative Review for Chapters 1 – 8

### Chapter 9: Radicals and Rational Exponents

#### Study Strategies: Know Your School

#### Section 9.1 Radical Expressions and Functions

#### Section 9.2 Rational Exponents

#### Section 9.3 Simplifying Expressions Containing Square Roots

#### Section 9.4 Simplifying Expressions Containing Higher Roots

#### Section 9.5 Adding, Subtracting, and Multiplying Radicals

#### Section 9.6 Dividing Radicals

#### Putting It All Together

#### Section 9.7 Solving Radical Equations

#### Section 9.8 Complex Numbers

#### Group Activity

#### emPOWERme: My School

#### Chapter Summary

#### Chapter Review

#### Chapter Test

#### Cumulative Review for Chapters 1 – 9

### Chapter 10: Quadratic Equations and Functions

#### Study Strategies: Developing Financial Literacy

#### Section 10.1 The Square Root Property and Completing the Square

#### Section 10.2 The Quadratic Formula

#### Putting It All Together

#### Section 10.3 Equations in Quadratic Form

#### Section 10.4 Formulas and Applications

#### Section 10.5 Quadratic Functions and Their Graphs

#### Section 10.6 Application of Quadratic Functions and Graphing Other Parabolas

#### Section 10.7 Quadratic and Rational Inequalities

#### Group Activity

#### emPOWERme: Determine Your Saving Style

#### Chapter Summary

#### Chapter Review

#### Chapter Test

#### Cumulative Review for Chapters 1 – 10

### Chapter 11: Exponential and Logarithmic Functions

#### Study Strategies: Using the Internet for Learning

#### Section 11.1 Composite and Inverse Functions

#### Section 11.2 Exponential Functions

#### Section 11.3 Logarithmic Functions

#### Section 11.4 Properties of Logarithms

#### Section 11.5 Common and Natural Logarithms and Change of Base

#### Section 11.6 Solving Exponential and Logarithmic Equations

#### Group Activity

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

#### Chapter Summary

#### Chapter Review

#### Chapter Test

#### Cumulative Review for Chapters 1 – 11

### Chapter 12: Nonlinear Functions, Conic Sections, and Nonlinear Systems

#### Study Strategies: Improving Your Memory

#### Section 12.1 Graphs of Other Useful Functions

#### Section 12.2 The Circle

#### Section 12.3 The Ellipse

#### Section 12.4 The Hyperbola

#### Putting It All Together

#### Section 12.5 Nonlinear Systems of Equations

#### Sections 12.6 Second-Degree Inequalities and System of Inequalities

#### Group Activity

#### emPOWERme: How is My Memory?

#### Chapter Summary

#### Chapter Review

#### Chapter Test

#### Cumulative Review for Chapters 1 – 12

### Chapter 13 (Online): Sequences and Series

#### Section 13.1 Sequences and Series

#### Section 13.2 Arithmetic Sequences and Series

#### Section 13.3 Geometric Sequences and Series

#### Section 13.4 The Binomial Theorem

#### Chapter Summary

#### Chapter Review

#### Chapter Test

#### Cumulative Review for Chapters 1 – 13

### Appendix

#### Section A.1 Review of Fractions

#### Section A.2 Geometry Review

#### Section A.3 Determinants and Cramer’s Rule

#### Section A.4 Synthetic Division and the Remainder Theorem

# Intermediate Algebra with P.O.W.E.R. Learning, 2nd Edition

### Chapter 1: Real Numbers and Algebraic Expressions

#### Study Strategies: An Introduction to the P.O.W.E.R. Framework

#### Study Strategies: Using P.O.W.E.R. to Succeed in Your Course

#### Section 1.1 Set of Numbers

#### Section 1.2 Operations on Real Numbers

#### Section 1.3 Exponents, Roots, and Order of Operations

#### Section 1.4 Algebraic Expressions and Properties of Real Numbers

#### Group Activity

#### emPOWERme: Why Am I Going to College?

#### Chapter Summary

#### Chapter Review

#### Chapter Test

### Chapter 2: Linear Equations in One Variable

#### Study Strategies: How to Read Math (and Other) Textbooks

#### Section 2.1 Linear Equations in One Variable

#### Section 2.2 Applications of Linear Equations

#### Section 2.3 Geometry Applications and Solving Formulas

#### Section 2.4 More Applications of Linear Equations

#### Group Activity

#### emPOWERme: Organize Your Memory

#### Chapter Summary

#### Chapter Review

#### Chapter Test

#### Cumulative Review for Chapters 1 and 2

### Chapter 3: Linear Inequalities and Absolute Value

#### Study Strategies: Time Management

#### Section 3.1 Linear Inequalities in One Variable

#### Section 3.2 Compound Inequalities in One Variable

#### Section 3.3 Absolute Value Equations and Inequalities

#### Group Activity

#### emPOWERme: Identify the Black Holes of Time Management

#### Chapter Summary

#### Chapter Review

#### Chapter 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 Slope of a Line and Slope-Intercept Form

#### Section 4.3 Writing an Equation of a Line

#### Section 4.4 Linear and Compound Linear Inequalities in Two Variables

#### Section 4.5 Introduction to Functions

#### Group Activity

#### emPOWERme: Checklist for Effective Notes

#### Chapter Summary

#### Chapter Review

#### Chapter Test

#### Cumulative Review for Chapters 1 – 4

### Chapter 5: Solving Systems of Linear Equations

#### Study Strategies: Taking Math Tests

#### Section 5.1 Solving Systems of Linear Equations in Two Variables

#### Section 5.2 Solving Systems of Linear Equations in Three Variables

#### Section 5.3 Applications of Systems of Linear Equations

#### Section 5.4 Solving Systems of Linear Equations Using Matrices

#### Group Activity

#### emPOWERme: What is My Test-Taking Style?

#### Chapter Summary

#### Chapter Review

#### Chapter Test

#### Cumulative Review for Chapters 1 – 5

### Chapter 6: Polynomials and Polynomial Functions

#### Study Strategies: Doing Math Homework

#### Section 6.1 The Rules of Exponents

#### Section 6.2 More on Exponents and Scientific Notation

#### Section 6.3 Addition and Subtraction of Polynomials and Polynomial

#### Functions

#### Section 6.4 Multiplication of Polynomials and Polynomial Functions

#### Section 6.5 Division of Polynomials and Polynomial Functions

#### Group Activity

#### emPOWERme: The Right Time and Place for Homework

#### Chapter Summary

#### Chapter Review

#### Chapter Test

#### Cumulative Review for Chapters 1 – 6

### Chapter 7: Factoring Polynomials

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

#### Section 7.1 The Greatest Common Factor and Factoring by Grouping

#### Section 7.2 Factoring Trinomials

#### Section 7.3 Special Factoring Techniques

#### Putting It All Together

#### Section 7.4 Solving Quadratic Equations by Factoring

#### Section 7.5 Applications of Quadratic Equations

#### Group Activity

#### emPOWERme: What is My Studying Style?

#### Chapter Summary

#### Chapter Review

#### Chapter Test

#### Cumulative Review for Chapters 1 – 7

### Chapter 8: Rational Expressions, Equations, and Functions

#### Study Strategies: The Writing Process

#### Section 8.1 Simplifying, Multiplying, and Dividing Rational Expressions and Functions

#### Section 8.2 Adding and Subtracting Rational Expressions

#### Section 8.3 Simplifying Complex Fractions

#### Section 8.4 Solving Rational Equations

#### Putting It All Together

#### Section 8.5 Application of Rational Equations

#### Section 8.6 Variation

#### Group Activity

#### emPOWERme: Writing Clearly

#### Chapter Summary

#### Chapter Review

#### Chapter Test

#### Cumulative Review for Chapters 1 – 8

### Chapter 9: Radicals and Rational Exponents

#### Study Strategies: Know Your School

#### Section 9.1 Radical Expressions and Functions

#### Section 9.2 Rational Exponents

#### Section 9.3 Simplifying Expressions Containing Square Roots

#### Section 9.4 Simplifying Expressions Containing Higher Roots

#### Section 9.5 Adding, Subtracting, and Multiplying Radicals

#### Section 9.6 Dividing Radicals

#### Putting It All Together

#### Section 9.7 Solving Radical Equations

#### Section 9.8 Complex Numbers

#### Group Activity

#### emPOWERme: My School

#### Chapter Summary

#### Chapter Review

#### Chapter Test

#### Cumulative Review for Chapters 1 – 9

### Chapter 10: Quadratic Equations and Functions

#### Study Strategies: Developing Financial Literacy

#### Section 10.1 The Square Root Property and Completing the Square

#### Section 10.2 The Quadratic Formula

#### Putting It All Together

#### Section 10.3 Equations in Quadratic Form

#### Section 10.4 Formulas and Applications

#### Section 10.5 Quadratic Functions and Their Graphs

#### Section 10.6 Application of Quadratic Functions and Graphing Other Parabolas

#### Section 10.7 Quadratic and Rational Inequalities

#### Group Activity

#### emPOWERme: Determine Your Saving Style

#### Chapter Summary

#### Chapter Review

#### Chapter Test

#### Cumulative Review for Chapters 1 – 10

### Chapter 11: Exponential and Logarithmic Functions

#### Study Strategies: Using the Internet for Learning

#### Section 11.1 Composite and Inverse Functions

#### Section 11.2 Exponential Functions

#### Section 11.3 Logarithmic Functions

#### Section 11.4 Properties of Logarithms

#### Section 11.5 Common and Natural Logarithms and Change of Base

#### Section 11.6 Solving Exponential and Logarithmic Equations

#### Group Activity

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

#### Chapter Summary

#### Chapter Review

#### Chapter Test

#### Cumulative Review for Chapters 1 – 11

### Chapter 12: Nonlinear Functions, Conic Sections, and Nonlinear Systems

#### Study Strategies: Improving Your Memory

#### Section 12.1 Graphs of Other Useful Functions

#### Section 12.2 The Circle

#### Section 12.3 The Ellipse

#### Section 12.4 The Hyperbola

#### Putting It All Together

#### Section 12.5 Nonlinear Systems of Equations

#### Sections 12.6 Second-Degree Inequalities and System of Inequalities

#### Group Activity

#### emPOWERme: How is My Memory?

#### Chapter Summary

#### Chapter Review

#### Chapter Test

#### Cumulative Review for Chapters 1 – 12

### Chapter 13 (Online): Sequences and Series

#### Section 13.1 Sequences and Series

#### Section 13.2 Arithmetic Sequences and Series

#### Section 13.3 Geometric Sequences and Series

#### Section 13.4 The Binomial Theorem

#### Chapter Summary

#### Chapter Review

#### Chapter Test

#### Cumulative Review for Chapters 1 – 13

### Appendix

#### Section A.1 Review of Fractions

#### Section A.2 Geometry Review

#### Section A.3 Determinants and Cramer’s Rule

#### Section A.4 Synthetic Division and the Remainder Theorem

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