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

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

ISBN10: 1259610268 | ISBN13: 9781259610264
By Sherri Messersmith, Nathalie Vega-Rhodes, Robert Feldman and Lawrence Perez
© 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.

Instructor Information

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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.

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