College Algebra

About our authors Mike Sullivan recently retired as Professor of Mathematics at Chicago State University, having taught there for more than 30 years. He received his PhD in mathematics from Illinois Institute of Technology. He is a native of Chicago’s South Side and currently resides in Oak Lawn, Illinois. Mike has 4 children; the 2 oldest have degrees in mathematics and assisted in proofing, checking examples and exercises, and writing solutions manuals for this project. His son Mike Sullivan, III co-authored the Sullivan Graphing with Data Analysis series as well as this series. Mike has authored or co-authored more than 10 books. He owns a travel agency, and splits his time between a condo in Naples, Florida and a home in Oak Lawn, where he enjoys gardening.Mike Sullivan, III is a professor of mathematics at Joliet Junior College. He holds graduate degrees from DePaul University in both mathematics and economics. Mike is an author or co-author on more than 20 books, including a statistics book and a developmental mathematics series. Mike is the father of 3 children and an avid golfer who tries to spend as much of his limited free time as possible on the golf course.

• Review R.1 Real NumbersR.2 Algebra EssentialsR.3 Geometry EssentialsR.4 PolynomialsR.5 Factoring PolynomialsR.6 Synthetic DivisionR.7 Rational ExpressionsR.8 nth Roots; Rational ExponentsEquations and Inequalities 1.1 Linear Equations1.2 Quadratic Equations1.3 Complex Numbers; Quadratic Equations in the Complex Number System1.4 Radical Equations; Equations Quadratic in Form; Factorable Equations1.5 Solving Inequalities1.6 Equations and Inequalities Involving Absolute Value1.7 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job ApplicationsChapter 1 Review, Test, and ProjectsGraphs 2.1 The Distance and Midpoint Formulas2.2 Graphs of Equations in Two Variables; Intercepts; Symmetry2.3 Lines2.4 Circles2.5 VariationChapter 2 Review, Test, and ProjectsFunctions and Their Graphs 3.1 Functions3.2 The Graph of a Function3.3 Properties of Functions3.4 Library of Functions; Piecewise-defined Functions3.5 Graphing Techniques: Transformations3.6 Mathematical Models: Building FunctionsChapter 3 Review, Test, and ProjectsLinear and Quadratic Functions 4.1 Properties of Linear Functions and Linear Models4.2 Building Linear Models from Data4.3 Quadratic Functions and Their Properties4.4 Build Quadratic Models from Verbal Descriptions and from Data4.5 Inequalities Involving Quadratic FunctionsChapter 4 Review, Test, and ProjectsPolynomial and Rational Functions 5.1 Polynomial Functions5.2 Graphing Polynomials Functions; Models5.3 Properties of Rational Functions5.4 The Graph of a Rational Function5.5 Polynomial and Rational Inequalities5.6 The Real Zeros of a Polynomial FunctionChapter 5 Review, Test, and ProjectsExponential and Logarithmic Functions 6.1 Composite Functions6.2 One-to-One Functions; Inverse Functions6.3 Exponential Functions6.4 Logarithmic Functions6.5 Properties of Logarithms6.6 Logarithmic and Exponential Equations6.7 Financial Models6.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models6.9 Building Exponential, Logarithmic, and Logistic Models from DataChapter 6 Review, Test, and ProjectsAnalytic Geometry 7.1 Conics7.2 The Parabola7.3 The Ellipse7.4 The HyperbolaChapter 7 Review, Test, and ProjectsSystems of Equations and Inequalities 8.1 Systems of Linear Equations: Substitution and Elimination8.2 Systems of Linear Equations: Matrices8.3 Systems of Linear Equations: Determinants8.4 Matrix Algebra8.5 Partial Fraction Decomposition8.6 Systems of Nonlinear Equations8.7 Systems of Inequalities8.8 Linear ProgrammingChapter 8 Review, Test, and ProjectsSequences; Induction; the Binomial Theorem 9.1 Sequences9.2 Arithmetic Sequences9.3 Geometric Sequences; Geometric Series9.4 Mathematical Induction9.5 The Binomial TheoremChapter 9 Review, Test, and ProjectsCounting and Probability 10.1 Counting10.2 Permutations and Combinations10.3 ProbabilityChapter 10 Review, Test, and ProjectsAppendix: Graphing Utilities A.1 The Viewing RectangleA.2 Using a Graphing Utility to Graph EquationsA.3 Using a Graphing Utility to Locate Intercepts and Check for SymmetryA.4 Using a Graphing Utility to Solve EquationsA.5 Square ScreensA.6 Using a Graphing Utility to Graph InequalitiesA.7 Using a Graphing Utility to Solve Systems of Linear EquationsAnswersCreditsIndex