Prealgebra and Introductory Algebra with POWER LearningMessersmith/Perez/FeldmanTable of Contents Chapter 1Operations with Integers1.1Place Value and Rounding 1.2Introduction to Integers 1.3Adding Integers 1.4Subtracting Integers 1.5Estimating a Sum or a Difference 1.6Multiplying Integers and Estimation 1.7Dividing Integers and Estimation PIAT 1.8Exponents and Order of Operations Chapter 2Variables and Solving Equations2.1Introduction to Variables 2.2Simplifying Expressions 2.3Solving Equations Using the Addition Property of Equality 2.4Solving Equations Using the Division Property of Equality 2.5More on Solving Equations 2.6Applications Involving One Unknown 2.7Applications Involving Two Unknowns Chapter 3Operations with Signed Fractions3.1Introduction to Signed Fractions 3.2Writing Fractions in Lowest Terms 3.3Multiplying and Dividing Signed Fractions 3.4Adding and Subtracting Like Fractions and Finding a Least Common Denominator 3.5Adding and Subtracting Unlike Fractions 3.6Operations with Mixed Numbers PIAT 3.7Order Relations and Order of Operations 3.8Solving Equations Containing Fractions Chapter 4Basic Geometry Concepts4.1Introduction to Geometry 4.2Rectangles, Squares, Parallelograms, and Trapezoids 4.3Triangles 4.4Volume and Surface AreaPIAT 4.5Solving Geometry Applications Using Algebra Chapter 5Signed Decimals 5.1Reading and Writing Decimals 5.2Rounding Decimals 5.3Adding and Subtracting Signed Decimals 5.4Multiplying Signed Decimals 5.5Dividing Signed Decimals and Order of Operations PIAT 5.6Writing Fractions as Decimals 5.7Mean, Median, and Mode 5.8Solving Equations Containing Decimals 5.9Square Roots and the Pythagorean Theorem 5.1Circles, Spheres, Cylinders, and Cones Chapter 6Ratios and Proportions6.1Ratios 6.2Rates 6.3Proportions 6.4Solve Applied Problems Involving Proportions 6.5Angles 6.6Solve Applied Problems Involving Congruent and Similar Triangles Chapter 7Measurement and Conversion7.1Conversions Within the U.S. Measurement System 7.2The Metric System: Length 7.3The Metric System: Capacity and Weight (Mass) 7.4Solving Applied Problems Involving Metric Units 7.5Metric - U.S. Customary Conversions and Temperature Chapter 8Percents8.1Percents, Fractions, and Decimals 8.2Compute Basic Percents Mentally 8.3Use an Equation to Solve Percent Problems 8.4Solve Applications Involving PercentsPIAT 8.5More Applications with Percents 8.6Simple and Compound Interest Chapter 9Graphs9.1Reading Tables, Pictographs, Bar Graphs, and Line Graphs 9.2Frequency Distributions and Histograms 9.3Using and Making Circle Graphs Cumulative Review for Chapters 1-9 Chapter 10Real Numbers, Equations, and Inequalities10.1Real Numbers 10.2More on Solving Linear Equations 10.3Formulas and Solving for a Specific Variable 10.4Solving Linear Inequalities in One Variable Chapter 11Linear Equations in Two Variables11.1Introduction to Linear Equations in Two Variables 11.2Graphing by Plotting Points and Finding Intercepts 11.3The Slope of a Line 11.4The Slope-Intercept Form of a Line 11.5Writing an Equation of a Line Chapter 12Solving Systems of Linear Equations12.1Solving Systems by Graphing 12.2Solving Systems by Substitution 12.3Solving Systems by the Elimination MethodPIAT 12.4Applications of Systems of Equations 12.5Linear Inequalities in Two Variables Chapter 13The Rules of Exponents and Polynomials13.1The Product Rule and Power Rules 13.2Integer Exponents 13.3The Quotient RulePIAT 13.4Scientific Notation 13.5Addition and Subtraction of Polynomials 13.6Multiplication of Polynomials 13.7Dividing a Polynomial by a Monomial 13.8Dividing a Polynomial by a Polynomial Chapter 14Factoring Polynomials14.1The Greatest Common Factor and Factoring by Grouping 14.2Factoring Trinomials of the Form x^2 + bx + c 14.3Factoring Trinomials of the Form ax^2 + bx + c (a not 1) 14.4Factoring Special Trinomials and BinomialsPIAT 14.5Solving Quadratic Equations by Factoring 14.6Applications of Quadratic Equations Chapter 15Rational Expressions15.1Simplifying Rational Expressions 15.2Multiplying and Dividing Rational Expressions 15.3Finding the Least Common Denominator 15.4Adding and Subtracting Rational ExpressionsPIAT 15.5Simplifying Complex Fractions 15.6Solving Rational Equations 15.7Applications of Rational Equations and Variation Chapter 16Roots and Radicals16.1Finding Roots 16.2Simplifying Radicals: The Product and Quotient Rules 16.3Adding and Subtracting Radicals 16.4Combining Operations on Radicals 16.5Dividing Radicals 16.6Solving Radical Equations Chapter 17Quadratic Equations17.1Solving Quadratic Equations Using the Square Root Property 17.2Solving Quadratic Equations by Completing the Square 17.3Solving Quadratic Equations Using the Quadratic FormulaPIAT 17.4Graphs of Quadratic Equations 17.5Introduction to Functions AppendixA.1Adding Whole Numbers A.2Subtracting Whole Numbers A.3Multiplying Whole Numbers A.4Introduction to Division and Short Division A.5Long Division B.1Sets of Numbers B.2Graphing Inequalities B.3Deriving the Area of a Parallelogram and the Area of a Trapezoid B.4Inductive and Deductive Reasoning
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. 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.