Synopses & Reviews
Elementary Algebra, 5th Edition, is designed to provide students with the algebra background needed for further college-level mathematics courses. The unifying theme of the text is the development of the skills necessary for solving equations and inqualities, followed by the application of those skills to solving applied problems.
About the Author
Mark Dugopolski was born and raised in Menominee, Michigan. He received a degree in mathematics education from Michigan State University and then taught high school mathematics in the Chicago area. While teaching high school, he received a master's degree in mathematics from Northern Illinois University. He then entered a doctoral program in mathematics at the University of Illinois in Champaign, where he earned his doctorate in topology in 1977. He was then appointed to the faculty at Southeastern Louisiana University, where he now holds the position of professor of mathematics. He has taught high school and college mathematics for over 30 years. He is a member of the MAA, the AMS, and the AMATYC. He has written many articles and mathematics textbooks. He has a wife and two daughters. When he is not working, he enjoys hiking, bicycling, jogging, tennis, fishing, and motorcycling.
Table of Contents
Chapter 1 Real Numbers and Their Properties 1.1 The Real Numbers1.2 Fractions1.3 Addition and Subtraction of Real Numbers 1.4 Multiplication and Division of Real Numbers 1.5 Exponential Expressions and the Order of Operations1.6 Algebraic Expressions1.7 Properties of the Real Numbers 1.8 Using the Properties to Simplify ExpressionsChapter 2 Linear Equations and Inequalities in One Variable 2.1 The Addition and Multiplication Properties of Equality2.2 Solving General Linear Equations 2.3 More Equations 2.4 Formulas2.5 Translating Verbal Expressions into Algebraic Expressions2.6 Number, Geometric, and Uniform Motion Applications2.7 Discount, Investment, and Mixture Applications2.8 Inequalities2.9 Solving Inequalities and ApplicationsChapter 3 Linear Equations in Two Variables and Their Graphs3.1 Graphing Lines in the Coordinate Plane 3.2 Slope 3.3 Equations of Lines in Slope-Intercept Form 3.4 The Point-Slope Form 3.5 Variation Chapter 4 Systems of Linear Equations and Inequalities4.1 The Graphing Method 4.2 The Substitution Method4.3 The Addition Method4.4 Graphing Linear Inequalities in Two Variables4.5 Graphing Systems of Linear InequalitiesChapter 5 Polynomials and Exponents5.1 Addition and Subtraction of Polynomials 5.2 Multiplication of Polynomials5.3 Multiplication of Binomials5.4 Special Products5.5 Division of Polynomials5.6 Nonnegative Integral Exponents5.7 Negative Exponents and Scientific NotationChapter 6 Factoring6.1 Factoring Out Common Factors 6.2 Factoring the Special Products and Factoring by Grouping6.3 Factoring ax^2 + bx + c with a = 1 6.4 Factoring ax^2 + bx + c with a not = to 1 6.5 Factoring a Difference or Sum of Two Cubes6.6 Solving Quadratic Equations by FactoringChapter 7 Rational Expressions7.1 Reducing Rational Expressions7.2 Multiplication and Division7.3 Finding the Least Common Denominator7.4 Addition and Subtraction7.5 Complex Fractions 7.6 Solving Equations with Rational Expressions 7.7 Applications of Ratios and Proportions 7.8 Applications of Rational ExpressionsChapter 8 Powers and Roots8.1 Roots, Radicals, and Rules8.2 Simplifying Square Roots8.3 Operations with Radicals 8.4 Solving Equations with Radicals and Exponents8.5 Fractional Exponents Chapter 9 Quadratic Equations, Parabolas, and Functions9.1 The Square Root Property and Factoring 9.2 Completing the Square9.3 The Quadratic Formula9.4 Applications of Quadratic Equations9.5 Complex Numbers9.6 Graphing Parabolas 9.7 Introduction to Functions9.8 Combining FunctionsAppendix A Geometry Review ExercisesAppendix B SetsAppendix C Final Exam Review