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

Table of Contents:
Introductory Algebra with P.O.W.E.R. Learning, 2nd EditionChapter 1: The Real Number System and GeometryStudy Strategies: An Introduction to the P.O.W.E.R. FrameworkStudy Strategies: Using P.O.W.E.R. to Succeed in Your Course Section 1.1Review of FractionsSection 1.2Exponents and Order of OperationsSection 1.3Geometry ReviewSection 1.4Sets of Numbers and Absolute ValueSection 1.5Addition and Subtraction of Real NumbersSection 1.6Multiplication and Division of Real NumbersSection 1.7Properties of Real NumbersSection 1.8Simplifying Algebraic ExpressionsGroup Activity emPOWERme: Measuring Your Math ConfidenceChapter 1 SummaryChapter 1 ReviewChapter 1 TestChapter 2: Linear Equations and Inequalities in One VariableStudy Strategies: How to Read Math (and Other) TextbooksSection 2.1Solving Linear Equations Part ISection 2.2Solving Linear Equations Part IISection 2.3 Applications of Linear EquationsSection 2.4 Applications involving Percents Section 2.5Geometry Applications and Solving FormulasSection 2.6Applications of Linear Equations to Proportions, Money Problems, and d=rtSection 2.7 Solving Linear Inequalities in One VariableGroup Activity emPOWERme: Discover Your Reading StyleChapter 2 SummaryChapter 2 ReviewChapter 2 TestCumulative Review for Chapters 1-2 Chapter 3: Linear Equations in Two VariablesStudy Strategies: Time ManagementSection 3.1Introduction to Linear Equations in Two VariablesSection 3.2Graphing by Plotting Points and Finding InterceptsSection 3.3The Slope of a LineSection 3.4The Slope-Intercept Form of a LineSection 3.5Writing an Equation of a LineSection 3.6 Introduction to Functions Group Activity emPOWERme: Find Your Time StyleChapter 3 SummaryChapter 3 ReviewChapter 3 TestCumulative Review Chapters 1-3Chapter 4: Linear Equations and Systems of Inequalities in Two VariablesStudy Strategies: Taking Notes in ClassSection 4.1Solving Systems by GraphingSection 4.2Solving Systems by the Substitution MethodSection 4.3Solving Systems by the Elimination MethodPutting It All TogetherSection 4.4Applications of Systems of Two EquationsSection 4.5Linear Inequalities in Two VariablesGroup Activity emPOWERme: Evaluate Your Class NotesChapter 4 ReviewChapter 4 TestCumulative Review for Chapters 1-4Chapter 5: Rules of Exponents Study Strategies: Taking Math TestsSection 5.1Basic Rules of ExponentsPart A:The Product Rule and Power RulesPart B:Combining the RulesSection 5.2Integer ExponentsPart A:Real-Number BasesPart B:Variable BasesSection 5.3The Quotient RulePutting It All TogetherSection 5.4Scientific NotationGroup Activity emPOWERme: Math Test Preparation ChecklistChapter 5 SummaryChapter 5 ReviewChapter 5 TestCumulative Review for Chapters 1-5Chapter 6: PolynomialsStudy Strategies: Doing Math HomeworkSection 6.1Addition and Subtraction of PolynomialsSection 6.2Multiplication of PolynomialsSection 6.3Special ProductsSection 6.4Division of PolynomialsGroup Activity emPOWERme: What’s Different About College? Chapter 6 SummaryChapter 6 ReviewChapter 6 TestCumulative Review Chapters 1-6 Chapter 7: Factoring PolynomialsStudy Strategies: Making a Class ScheduleSection 7.1The Greatest Common Factor and Factoring by GroupingSection 7.2Factoring Trinomials of the Form x^2 + bx + cSection 7.3Factoring Trinomials of the Form ax^2 + bx + c (a ≠ 1)Section 7.4Factoring Special Trinomials and BinomialsSection 7.5 Factoring the Sum and Difference of Two Cubes Putting It All TogetherSection 7.6 Solving Quadratic Equations by FactoringSection 7.7 Applications of Quadratic EquationsGroup Activity emPOWERme: Identify Major AttractionsChapter 7 SummaryChapter 7 ReviewChapter 7 TestCumulative Review Chapters 1-7Chapter 8: Rational ExpressionsStudy Strategies: Know Your SchoolSection 8.1Simplifying Rational ExpressionsSection 8.2Multiplying and Dividing Rational ExpressionsSection 8.3Finding the Least Common DenominatorSection 8.4Adding and Subtracting Rational ExpressionsPutting It All TogetherSection 8.5Simplifying Complex FractionsSection 8.6Solving Rational EquationsSection 8.7Applications of Rational Equations and Variation Group Activity emPOWERme: My SchoolChapter 8 SummaryChapter 8 ReviewChapter 8 TestCumulative Review Chapters 1-8Chapter 9: Roots and RadicalsStudy Strategies: Working with a Study GroupSection 9.1Finding RootsSection 9.2Simplifying Radicals: the Product and Quotient Rules Section 9.3Adding and Subtracting RadicalsSection 9.4Combining Operations on RadicalsSection 9.5Dividing RadicalsSection 9.6Solving Radical EquationsSection 9.7 Rational Exponents Group Activity emPOWERme: My Study Group ExperienceChapter 9 SummaryChapter 9 ReviewChapter 9 TestCumulative Review for Chapters 1-9Chapter 10: Quadratic EquationsStudy Strategies: Creating VisualsSection 10.1Solving Quadratic Equations Using the Square Root PropertySection 10.2Solving Quadratic Equations by Completing the SquareSection 10.3Solving Quadratic Equations Using the Quadratic FormulaPutting It All TogetherSection 10.4Graphs of Quadratic EquationsSection 10.5Complex NumbersGroup Activity emPOWERme: What’s Your Learning Style? Chapter 10 SummaryChapter 10 ReviewChapter 10 TestCumulative Review for Chapters 1-10Appendix Appendix A.1Decimals Appendix A.2PercentsAppendix A.3Compound Inequalities in One VariableAppendix 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 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’ 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. 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.