MyMathGuide for Introductory Algebra

Marvin Bittinger has been teaching math at the university level for more than thirty-eight years. Since 1968, he has been employed at Indiana University–Purdue University Indianapolis, and is now professor emeritus of mathematics education. Professor Bittinger has authored over 190 publications on topics ranging from basic mathematics to algebra and trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy and his election to the Manchester College Board of Trustees from 1992 to 1999. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled "Baseball and Mathematics." His hobbies include hiking in Utah, baseball, golf, and bowling. In addition, he also has an interest in philosophy and theology, in particular, apologetics. Professor Bittinger currently lives in Carmel, Indiana with his wife Elaine. He has two grown and married sons, Lowell and Chris, and four granddaughters.Judy Beecher has an undergraduate degree in mathematics from Indiana University and a graduate degree in mathematics from Purdue University. She has taught at both the high school and college levels with many years of developmental math and precalculus teaching experience at Indiana University–Purdue University Indianapolis. In addition to her career in textbook publishing, she spends time traveling, enjoying her grandchildren, and promoting charity projects for a children's camp. Barbara Johnson has a BS in mathematics from Bob Jones University and a MS in mathematics from Clemson University, and she is currently pursuing a PhD in Educational Studies at Ball State University. She has taught high school and college math for 30 years, and she enjoys the challenge of helping each student grow in appreciation for and understanding of mathematics. As a Purdue Master Gardener, she also enjoys helping others learn gardening skills. Believing that the best teacher is always learning, she is also a student of karate.

• Index of ActivitiesIndex of AnimationsPrefaceIndex of ApplicationsJust-in-Time Review All Factors of a NumberPrime FactorizationsGreatest Common FactorLeast Common MultipleEquivalent Expressions and Fraction NotationMixed NumeralsSimplify Fraction NotationMultiply and Divide Fraction NotationAdd and Subtract Fraction NotationConvert from Decimal Notation to Fraction NotationAdd and Subtract Decimal NotationMultiply and Divide Decimal NotationConvert from Fraction Notation to Decimal NotationRounding with Decimal NotationConvert Between Percent Notation and Decimal NotationConvert Between Percent Notation and Fraction NotationExponential NotationOrder of Operations Introduction to Real Numbers and Algebraic Expressions 1.1 Introduction to Algebra1.2 The Real Numbers1.3 Addition of Real Numbers1.4 Subtraction of Real Numbers Mid-Chapter Review1.5 Multiplication of Real Numbers1.6 Division of Real Numbers1.7 Properties of Real Numbers1.8 Simplifying Expressions; Order of OperationsSummary and ReviewTestSolving Equations and Inequalities 2.1 Solving Equations: The Addition Principle2.2 Solving Equations: The Multiplication Principle2.3 Using the Principles Together2.4 Formulas Mid-Chapter Review2.5 Applications of Percent2.6 Applications and Problem Solving Translating for Success2.7 Solving Inequalities2.8 Applications and Problem Solving with InequalitiesSummary and ReviewTestCumulative ReviewGraphs of Linear Equations 3.1 Graphs and Applications of Linear Equations3.2 More with Graphing and Intercepts Visualizing for Success3.3 Slope and Applications3.4 Equations of Lines Mid-Chapter Review3.5 Graphing Using the Slope and y-Intercept3.6 Parallel Lines and Perpendicular Lines3.7 Graphing Inequalities in Two VariablesVisualizing for SuccessSummary and ReviewTestCumulative ReviewPolynomials: Operations 4.1 Integers as Exponents4.2 Exponents and Scientific Notation4.3 Introduction to Polynomials4.4 Addition and Subtraction of Polynomials Mid-Chapter Review4.5 Multiplication of Polynomials4.6 Special Products Visualizing for Success4.7 Operations with Polynomials in Several Variables4.8 Division of PolynomialsSummary and ReviewTestCumulative ReviewPolynomials: Factoring 5.1 Introduction to Factoring5.2 Factoring Trinomials of the Type x2 + bx + c5.3 Factoring ax2 + bx + c, a ≠ 1: The FOIL Method5.4 Factoring ax2 + bx + c, a ≠ 1: The ac-Method Mid-Chapter Review5.5 Factoring Trinomial Squares and Differences of Squares5.6 Factoring: A General Strategy5.7 Solving Quadratic Equations by Factoring5.8 Applications of Quadratic EquationsTranslating For SuccessSummary and ReviewTestCumulative ReviewRational Expressions and Equations 6.1 Multiplying and Simplifying Rational Expressions6.2 Division and Reciprocals6.3 Least Common Multiples and Denominators6.4 Adding Rational Expressions6.5 Subtracting Rational Expressions Mid-Chapter Review6.6 Complex Rational Expressions6.7 Solving Rational Equations6.8 Applications Using Rational Equations and Proportions Translating for Success6.9 Direct Variation and Inverse VariationSummary and ReviewTestCumulative ReviewSystems of Equations 7.1 Systems of Equations in Two Variables7.2 The Substitution Method7.3 The Elimination Method Mid-Chapter Review7.4 Applications and Problem Solving7.5 Applications with MotionTranslating for SuccessSummary and ReviewTestCumulative ReviewRadical Expressions and Equations 8.1 Introduction to Radical Expressions8.2 Multiplying and Simplifying with Radical Expressions8.3 Quotients Involving Radical Expressions Mid-Chapter Review8.4 Addition, Subtraction, and More Multiplication8.5 Radical Equations8.6 Applications with Right TrianglesTranslating for SuccessSummary and ReviewTestCumulative ReviewQuadratic Equations 9.1 Introduction to Quadratic Equations9.2 Solving Quadratic Equations by Completing the Square9.3 The Quadratic Formula Mid-Chapter Review9.4 Formulas9.5 Applications and Problem Solving Translating for Success9.6 Graphs of Quadratic Equations Visualizing for Success9.7 FunctionsSummary and ReviewTestCumulative ReviewAPPENDICES A. Factoring Sums or Differences of CubesB. Finding Equations of Lines: Point—Slope EquationC. Higher RootsD. SetsE. Mean, Median, and ModeF. Inequalities and Interval Notation AnswersGuided SolutionsGlossaryIndex