Intermediate Algebra

About our authors Marvin Bittinger has been teaching math at the university level for more than 38 years. Since 1968, he has been employed at Indiana University - Purdue University Indianapolis (IUPUI) 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. His hobbies include hiking in Utah, baseball, golf, and bowling. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled "Baseball and Mathematics." He also has an interest in philosophy and theology, particularly apologetics. Professor Bittinger currently lives in Carmel, Indiana with his wife Elaine. He has 2 grown and married sons, Lowell and Chris, and 4 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 (IUPUI). In addition to her career in textbook publishing, she enjoys traveling, spending time with 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 is a PhD candidate 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 The Set of Real NumbersOrder for the Real NumbersGraphing Inequalities on the Number LineAbsolute ValueAdd Real NumbersOpposites, or Additive InversesSubtract Real NumbersMultiply Real NumbersDivide Real NumbersExponential Notation (Part 1)Order of OperationsTranslate to an Algebraic ExpressionEvaluate Algebraic ExpressionsEquivalent Fraction ExpressionsThe Commutative Laws and the Associative LawsThe Distributive LawsCollecting Like TermsRemoving Parentheses and Collecting Like TermsExponential Notation (Part 2)Scientific Notation SOLVING LINEAR EQUATIONS AND INEQUALITIES 1.1 Solving Equations1.2 Formulas and Applications1.3 Applications and Problem Solving Mid-Chapter Review1.4 Sets, Inequalities, and Interval Notation Translating for Success1.5 Intersections, Unions, and Compound Inequalities1.6 Absolute-Value Equations and InequalitiesSummary and ReviewTestGRAPHS, FUNCTIONS, AND APPLICATIONS 2.1 Graphs of Equations2.2 Functions and Graphs2.3 Finding Domain and Range Mid-Chapter Review2.4 Linear Functions: Graphs and Slope2.5 More on Graphing Linear Equations Visualizing for Success2.6 Finding Equations of Lines; ApplicationsSummary and ReviewTestCumulative ReviewSYSTEMS OF EQUATIONS 3.1 Systems of Equations in Two Variables3.2 Solving by Substitution3.3 Solving by Elimination3.4 Solving Applied Problems: Two Equations Translating for Success Mid-Chapter Review3.5 Systems of Equations in Three Variables3.6 Solving Applied Problems: Three Equations3.7 Systems of Inequalities in Two VariablesVisualizing for SuccessSummary and ReviewTestCumulative ReviewPOLYNOMIALS AND POLYNOMIAL FUNCTIONS 4.1 Introduction to Polynomials and Polynomial Functions4.2 Multiplication of Polynomials4.3 Introduction to Factoring4.4 Factoring Trinomials: x2 + bx + c Mid-Chapter Review4.5 Factoring Trinomials: ax2 + bx + c, a ≠14.6 Special Factoring Visualizing for Success4.7 Factoring: A General Strategy4.8 Applications of Polynomial Equations and FunctionsTranslating for SuccessSummary and ReviewTestCumulative ReviewRATIONAL EXPRESSIONS, EQUATIONS, AND FUNCTIONS 5.1 Rational Expressions and Functions: Multiplying, Dividing, and Simplifying5.2 LCMs, LCDs, Addition, and Subtraction5.3 Division of Polynomials5.4 Complex Rational Expressions Mid-Chapter Review5.5 Solving Rational Equations5.6 Applications and Proportions Translating for Success5.7 Formulas and Applications5.8 Variation and ApplicationsSummary and ReviewTestCumulative ReviewRADICAL EXPRESSIONS, EQUATIONS, AND FUNCTIONS 6.1 Radical Expressions and Functions6.2 Rational Numbers as Exponents6.3 Simplifying Radical Expressions6.4 Addition, Subtraction, and More Multiplication Mid-Chapter Review6.5 More on Division of Radical Expressions6.6 Solving Radical Equations6.7 Applications Involving Powers and Roots Translating for Success6.8 The Complex NumbersSummary and ReviewTestCumulative ReviewQUADRATIC EQUATIONS AND FUNCTIONS 7.1 The Basics of Solving Quadratic Equations7.2 The Quadratic Formula7.3 Applications Involving Quadratic Equations Translating for Success7.4 More on Quadratic Equations Mid-Chapter Review7.5 Graphing f(x) = a(x - h)2 + k7.6 Graphingf(x) = a x2 + bx + c Visualizing for Success7.7 Mathematical Modeling with Quadratic Functions7.8 Polynomial Inequalities and Rational InequalitiesSummary and ReviewTestCumulative ReviewEXPONENTIAL FUNCTIONS AND LOGARITHMIC FUNCTIONS 8.1 Exponential Functions8.2 Composite Functions and Inverse Functions8.3 Logarithmic Functions8.4 Properties of Logarithmic Functions Mid-Chapter Review8.5 Natural Logarithmic Functions Visualizing for Success8.6 Solving Exponential Equations and Logarithmic Equations8.7 Mathematical Modeling with Exponential Functions and Logarithmic FunctionsTranslating for SuccessSummary and ReviewTestCumulative ReviewCONIC SECTIONS 9.1 Parabolas and Circles9.2 Ellipses Mid-Chapter Review9.3 Hyperbolas Visualizing for Success9.4 Nonlinear Systems of EquationsSummary and ReviewTestCumulative ReviewAPPENDIXES Fraction NotationDeterminants and Cramer’s RuleElimination Using MatricesThe Algebra of Functions AnswersGuided SolutionsGlossaryIndex