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

2^{nd}Edition

ISBN10: 1259610268

ISBN13: 9781259610264

Copyright: 2018

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The estimated amount of time this product will be on the market is based on a number of factors, including faculty input to instructional design and the prior revision cycle and updates to academic research-which typically results in a revision cycle ranging from every two to four years for this product. Pricing subject to change at any time.

### Program Details

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

### Chapter 1: The Real Number System and Geometry

#### 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 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

#### Group Activity

#### emPOWERme: Measuring Your Math Confidence

#### Chapter 1 Summary

#### Chapter 1 Review

#### Chapter 1 Test

### Chapter 2 : Linear Equations and Inequalities in One Variable

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

#### Section 2.1 Solving Linear Equations Part I

#### Section 2.2 Solving Linear Equations Part II

#### Section 2.3 Applications of Linear Equations

#### Section 2.4 Applications involving Percents

#### Section 2.5 Geometry Applications and Solving Formulas

#### Section 2.6 Applications of Linear Equations to Proportions, Money Problems, and d=rt

#### Section 2.7 Solving Linear Inequalities in One Variable

#### Group Activity

#### 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 3.1 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

#### Section 3.6 Introduction to Functions

#### Group Activity

#### emPOWERme: Find Your Time Style

#### Chapter 3 Summary

#### Chapter 3 Review

#### Chapter 3 Test

#### Cumulative Review Chapters 1-3

### Chapter 4 : Linear Equations and Systems of 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

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

#### Section 4.5 Linear Inequalities in Two Variables

#### Group Activity

#### 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 5.1 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

#### Group Activity

#### emPOWERme: Math Test Preparation Checklist

#### Chapter 5 Summary

#### Chapter 5 Review

#### Chapter 5 Test

#### Cumulative Review for Chapters 1-5

### 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 Special Products

#### Section 6.4 Division of Polynomials

#### Group Activity

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

#### Chapter 6 Summary

#### Chapter 6 Review

#### Chapter 6 Test

#### Cumulative Review Chapters 1-6

### Chapter 7: Factoring Polynomials

#### Study Strategies: Making a Class Schedule

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

#### Section 7.2 Factoring Trinomials of the Form x^2 + bx + c

#### Section 7.3 Factoring Trinomials of the Form ax^2 + bx + c (a ≠ 1)

#### Section 7.4 Factoring Special Trinomials and Binomials

#### Section 7.5 Factoring the Sum and Difference of Two Cubes

#### Putting It All Together

#### Section 7.6 Solving Quadratic Equations by Factoring

#### Section 7.7 Applications of Quadratic Equations

#### Group Activity

#### emPOWERme: Identify Major Attractions

#### Chapter 7 Summary

#### Chapter 7 Review

#### Chapter 7 Test

#### Cumulative Review Chapters 1-7

### Chapter 8: Rational Expressions

#### Study Strategies: Know Your School

#### 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

#### Group Activity

#### emPOWERme: My School

#### Chapter 8 Summary

#### Chapter 8 Review

#### Chapter 8 Test

#### Cumulative Review Chapters 1-8

### 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

#### Section 9.7 Rational Exponents

#### Group Activity

#### emPOWERme: My Study Group Experience

#### Chapter 9 Summary

#### Chapter 9 Review

#### Chapter 9 Test

#### Cumulative Review for Chapters 1-9

### Chapter 10: Quadratic Equations

#### Study Strategies: Creating Visuals

#### Section 10.1 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 Complex Numbers

#### Group Activity

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

#### Chapter 10 Summary

#### Chapter 10 Review

#### Chapter 10 Test

#### Cumulative Review for Chapters 1-10

### Appendix

#### Appendix A.1 Decimals

#### Appendix A.2 Percents

#### Appendix A.3 Compound Inequalities in One Variable

#### Appendix A.4 Solving Systems of Three Equations and Applications

#### Appendix A.5 Compound Linear Inequalities in Two Variables Containing "Or"

# About the Author

**Sherri Messersmith**

Sherri Messersmith has been teaching at College of DuPage in Glen Ellyn, Illinois, since 1994. She has over 25 years of experience teaching many different courses from developmental mathematics through calculus. She earned a bachelor of science degree in the teaching of mathematics at the University of Illinois at Urbana-Champaign and went on to teach at the high level for two years. Sherri returned to UIUC and earned a master of science in applied mathematics and stayed on at the university to teach and coordinate large sections of undergraduate math courses. Sherri has authored several textbook, and she has also appeared in videos accompanying several McGraw-Hill texts. Sherri lives outside of Chicago with her husband, Phil, and their daughters, Alex and Cailen. In her precious free time, she likes to read, play the guitar, and travel -- the manuscripts for this and her previous books have accompanied her from Spain to Greece and many points in between.

**Nathalie Vega-Rhodes**

Nathalie Vega-Rhodes’ career in higher education began seventeen years ago and has encompassed a number of student-focused positions. For nearly a decade, she has taught mathematics ranging from developmental courses to calculus, as well as student success courses. She holds a Bachelor of Arts in Mathematics from the University of Houston and a Master of Science in Mathematics from the University of Houston—Clear Lake. In addition to teaching, as Mathematics Technology Coordinator at Lone Star College—Kingwood, she assists math faculty with technology-related pedagogical and implementation strategies. Her earliest work in higher education focused on academic support, first as a tutor and supplemental instruction (SI) leader, and then as a coordinator for a math tutoring and SI program. In her free time, Nathalie enjoys scuba diving and traveling with her husband, hanging out with her dog, and reading.

**Robert Feldman**

Bob Feldman still remembers those moments of being overwhelmed when he started college at Wesleyan University. “I wondered whether I was up to the challenges that faced me,” he recalls, “and—although I never would have admitted it at the time—I really had no idea what it took to be successful at college.”

That experience, along with his encounters with many students during his own teaching career, led to a life-long interest in helping students navigate the critical transition that they face at the start of their own college careers. Professor Feldman, who went on to receive a doctorate in psychology from the University of Wisconsin–Madison, is now Deputy Chancellor and Professor of Psychological and Brain Sciences at the University of Massachusetts Amherst. He is founding director of POWER Up for Student Success, the first-year experience course for incoming students.

Professor Feldman’s proudest professional accomplishment is winning the College Outstanding Teaching Award at UMass. He also has been named a Hewlett Teaching Fellow and was Senior Online Instruction Fellow. He has taught courses at Mount Holyoke College, Wesleyan University, and Virginia Commonwealth University. Professor Feldman is a Fellow of the American Psychological Association, the Association for Psychological Science, and the American Association for the Advancement of Science. He is a winner of a Fulbright Senior Research Scholar and Lecturer award and has written over 200 scientific articles, book chapters, and books. His books, some of which have been translated into Spanish, French, Portuguese, Dutch, Japanese, and Chinese, include Improving the First Year of College: Research and Practice; Understanding Psychology, 12/e; and Development Across the Life Span, 7/e. His research interests encompass the study of honesty and truthfulness in everyday life, development of nonverbal behavior in children, and the social psychology of education. His research has been supported by grants from the National Institute of Mental Health and the National Institute on Disabilities and Rehabilitation Research.

With the last of his three children completing college, Professor Feldman occupies his spare time with pretty decent cooking and earnest, but admittedly unpolished, piano playing. He also loves to travel. He lives with his wife, who is an educational psychologist, in a home overlooking the Holyoke mountain range in western Massachusetts.

#### Affordability

**Find out more about our affordable course material programs.**

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#### How to Access Instructor Tools for your Course

- To get started, you'll need to visit connect.mheducation.com to sign in. (If you do not have an account, you'll need to request one from your MH rep. To find your rep – visit the Find Your Rep page).
- Then, under "Find a Title," you'll search by title, author or subject.
- Select your desired title and create a course. (Note – you do not have to create assignments, just a course instance)
- Then go to your Connect course homepage.
- In the top navigation, select
**library**to access the instructor resources that accompany the title.

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

### Chapter 1: The Real Number System and Geometry

#### 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 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

#### Group Activity

#### emPOWERme: Measuring Your Math Confidence

#### Chapter 1 Summary

#### Chapter 1 Review

#### Chapter 1 Test

### Chapter 2 : Linear Equations and Inequalities in One Variable

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

#### Section 2.1 Solving Linear Equations Part I

#### Section 2.2 Solving Linear Equations Part II

#### Section 2.3 Applications of Linear Equations

#### Section 2.4 Applications involving Percents

#### Section 2.5 Geometry Applications and Solving Formulas

#### Section 2.6 Applications of Linear Equations to Proportions, Money Problems, and d=rt

#### Section 2.7 Solving Linear Inequalities in One Variable

#### Group Activity

#### 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 3.1 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

#### Section 3.6 Introduction to Functions

#### Group Activity

#### emPOWERme: Find Your Time Style

#### Chapter 3 Summary

#### Chapter 3 Review

#### Chapter 3 Test

#### Cumulative Review Chapters 1-3

### Chapter 4 : Linear Equations and Systems of 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

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

#### Section 4.5 Linear Inequalities in Two Variables

#### Group Activity

#### 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 5.1 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

#### Group Activity

#### emPOWERme: Math Test Preparation Checklist

#### Chapter 5 Summary

#### Chapter 5 Review

#### Chapter 5 Test

#### Cumulative Review for Chapters 1-5

### 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 Special Products

#### Section 6.4 Division of Polynomials

#### Group Activity

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

#### Chapter 6 Summary

#### Chapter 6 Review

#### Chapter 6 Test

#### Cumulative Review Chapters 1-6

### Chapter 7: Factoring Polynomials

#### Study Strategies: Making a Class Schedule

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

#### Section 7.2 Factoring Trinomials of the Form x^2 + bx + c

#### Section 7.3 Factoring Trinomials of the Form ax^2 + bx + c (a ≠ 1)

#### Section 7.4 Factoring Special Trinomials and Binomials

#### Section 7.5 Factoring the Sum and Difference of Two Cubes

#### Putting It All Together

#### Section 7.6 Solving Quadratic Equations by Factoring

#### Section 7.7 Applications of Quadratic Equations

#### Group Activity

#### emPOWERme: Identify Major Attractions

#### Chapter 7 Summary

#### Chapter 7 Review

#### Chapter 7 Test

#### Cumulative Review Chapters 1-7

### Chapter 8: Rational Expressions

#### Study Strategies: Know Your School

#### 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

#### Group Activity

#### emPOWERme: My School

#### Chapter 8 Summary

#### Chapter 8 Review

#### Chapter 8 Test

#### Cumulative Review Chapters 1-8

### 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

#### Section 9.7 Rational Exponents

#### Group Activity

#### emPOWERme: My Study Group Experience

#### Chapter 9 Summary

#### Chapter 9 Review

#### Chapter 9 Test

#### Cumulative Review for Chapters 1-9

### Chapter 10: Quadratic Equations

#### Study Strategies: Creating Visuals

#### Section 10.1 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 Complex Numbers

#### Group Activity

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

#### Chapter 10 Summary

#### Chapter 10 Review

#### Chapter 10 Test

#### Cumulative Review for Chapters 1-10

### Appendix

#### Appendix A.1 Decimals

#### Appendix A.2 Percents

#### Appendix A.3 Compound Inequalities in One Variable

#### Appendix A.4 Solving Systems of Three Equations and Applications

#### Appendix A.5 Compound Linear Inequalities in Two Variables Containing "Or"

# About the Author

**Sherri Messersmith**

Sherri Messersmith has been teaching at College of DuPage in Glen Ellyn, Illinois, since 1994. She has over 25 years of experience teaching many different courses from developmental mathematics through calculus. She earned a bachelor of science degree in the teaching of mathematics at the University of Illinois at Urbana-Champaign and went on to teach at the high level for two years. Sherri returned to UIUC and earned a master of science in applied mathematics and stayed on at the university to teach and coordinate large sections of undergraduate math courses. Sherri has authored several textbook, and she has also appeared in videos accompanying several McGraw-Hill texts. Sherri lives outside of Chicago with her husband, Phil, and their daughters, Alex and Cailen. In her precious free time, she likes to read, play the guitar, and travel -- the manuscripts for this and her previous books have accompanied her from Spain to Greece and many points in between.

**Nathalie Vega-Rhodes**

Nathalie Vega-Rhodes’ career in higher education began seventeen years ago and has encompassed a number of student-focused positions. For nearly a decade, she has taught mathematics ranging from developmental courses to calculus, as well as student success courses. She holds a Bachelor of Arts in Mathematics from the University of Houston and a Master of Science in Mathematics from the University of Houston—Clear Lake. In addition to teaching, as Mathematics Technology Coordinator at Lone Star College—Kingwood, she assists math faculty with technology-related pedagogical and implementation strategies. Her earliest work in higher education focused on academic support, first as a tutor and supplemental instruction (SI) leader, and then as a coordinator for a math tutoring and SI program. In her free time, Nathalie enjoys scuba diving and traveling with her husband, hanging out with her dog, and reading.

**Robert Feldman**

Bob Feldman still remembers those moments of being overwhelmed when he started college at Wesleyan University. “I wondered whether I was up to the challenges that faced me,” he recalls, “and—although I never would have admitted it at the time—I really had no idea what it took to be successful at college.”

That experience, along with his encounters with many students during his own teaching career, led to a life-long interest in helping students navigate the critical transition that they face at the start of their own college careers. Professor Feldman, who went on to receive a doctorate in psychology from the University of Wisconsin–Madison, is now Deputy Chancellor and Professor of Psychological and Brain Sciences at the University of Massachusetts Amherst. He is founding director of POWER Up for Student Success, the first-year experience course for incoming students.

Professor Feldman’s proudest professional accomplishment is winning the College Outstanding Teaching Award at UMass. He also has been named a Hewlett Teaching Fellow and was Senior Online Instruction Fellow. He has taught courses at Mount Holyoke College, Wesleyan University, and Virginia Commonwealth University. Professor Feldman is a Fellow of the American Psychological Association, the Association for Psychological Science, and the American Association for the Advancement of Science. He is a winner of a Fulbright Senior Research Scholar and Lecturer award and has written over 200 scientific articles, book chapters, and books. His books, some of which have been translated into Spanish, French, Portuguese, Dutch, Japanese, and Chinese, include Improving the First Year of College: Research and Practice; Understanding Psychology, 12/e; and Development Across the Life Span, 7/e. His research interests encompass the study of honesty and truthfulness in everyday life, development of nonverbal behavior in children, and the social psychology of education. His research has been supported by grants from the National Institute of Mental Health and the National Institute on Disabilities and Rehabilitation Research.

With the last of his three children completing college, Professor Feldman occupies his spare time with pretty decent cooking and earnest, but admittedly unpolished, piano playing. He also loves to travel. He lives with his wife, who is an educational psychologist, in a home overlooking the Holyoke mountain range in western Massachusetts.

#### Affordability

**Find out more about our affordable course material programs.**

Reduce course material costs for your students while still providing full access to everything they need to be successful. It isn't too good to be true - it's Inclusive Access.

Learn more about Inclusive Access here.

When your students still want a book but don't want to keep it, McGraw-Hill's Textbook Rental program provides students with our latest editions at our most affordable hardcover prices.

Learn more about our Textbook Rental program.

Want more information?

#### How to Access Instructor Tools for your Course

- To get started, you'll need to visit connect.mheducation.com to sign in. (If you do not have an account, you'll need to request one from your MH rep. To find your rep – visit the Find Your Rep page).
- Then, under "Find a Title," you'll search by title, author or subject.
- Select your desired title and create a course. (Note – you do not have to create assignments, just a course instance)
- Then go to your Connect course homepage.
- In the top navigation, select
**library**to access the instructor resources that accompany the title.

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