Intended for developmental math courses in beginning algebra, this text retains the hallmark features that have made the Aufmann texts market leaders: an interactive approach in an objective-based framework: a clear writing style, and an emphasis on problem-solving strategies. The acclaimed Aufmann Interactive Method, allows students to try a skill as it is introduced with matched-pair examples, offering students immediate feedback, reinforcing the concept, identifying problem areas, and, overall, promoting student success.
Richard Aufmann is the lead author of two bestselling developmental math series and a bestselling college algebra and trigonometry series, as well as several derivative math texts. He received a BA in mathematics from the University of California, Irvine, and an MA in mathematics from California State University, Long Beach. Mr. Aufmann taught math, computer science, and physics at Palomar College in California, where he was on the faculty for 28 years. His textbooks are highly recognized and respected among college mathematics professors. Today, Mr. Aufmann's professional interests include quantitative literacy, the developmental math curriculum, and the impact of technology on curriculum development.
Vernon Barker has retired from Palomar College where he was Professor of Mathematics. He is a co-author on the majority of Aufmann texts, including the best-selling developmental paperback series.
Joanne Lockwood received a BA in English Literature from St. Lawrence University and both an MBA and a BA in mathematics from Plymouth State University. Ms. Lockwood taught at Plymouth State University and Nashua Community College in New Hampshire, and has over 20 years' experience teaching mathematics at the high school and college level. Ms. Lockwood has co-authored two bestselling developmental math series, as well as numerous derivative math texts and ancillaries. Ms. Lockwood's primary interest today is helping developmental math students overcome their challenges in learning math.
Note: Each chapter includes a Prep Test, Focus on Problem Solving, Projects and Group Activities, a Chapter Summary, Chapter Review Exercises, and a Chapter Test. 1. Prealgebra Review 1.1 Introduction to Integers 1.2 Operations with Integers 1.3 Rational Numbers 1.4 Exponents and the Order of Operations Agreement 1.5 Concepts from Geometry 2. Variable Expressions 2.1 Evaluating Variable Expressions 2.2 Simplifying Variable Expressions 2.3 Translating Verbal Expressions into Variable Expressions 3. Solving Equations and Inequalities 3.1 Introduction to Equations 3.2 General Equations 3.3 Inequalities 4. Solving Equations and Inequalities: Applications 4.1 Translating Sentences into Equations 4.2 Integer, Coin, and Stamp Problems 4.3 Geometry Problems 4.4 Markup and Discount Problems 4.5 Investment Problems 4.6 Mixture Problems 4.7 Uniform Motion Problems 4.8 Inequalities 5. Linear Equations and Inequalities 5.1 The Rectangular Coordinate System 5.2 Graphs of Straight Lines 5.3 Slopes of Straight Lines 5.4 Equations of Straight Lines 5.5 Functions 5.6 Graphing Linear Inequalities 6. Systems of Linear Equations 6.1 Solving Systems of Linear Equations by Graphing 6.2 Solving Systems of Linear Equations by the Substitution Method 6.3 Solving Systems of Linear Equations by the Addition Method 6.4 Application Problems in Two Variables 7. Polynomials 7.1 Addition and Subtraction of Polynomials 7.2 Multiplication of Monomials 7.3 Multiplication of Polynomials 7.4 Integer Exponents and Scientific Notation 7.5 Division of Polynomials 8. Factoring 8.1 Common Factors 8.2 Factoring Polynomials of the Form x2 + bx + c 8.3 Factoring Polynomials of the Form ax2 + bx + c 8.4 Special Factoring 8.5 Solving Equations 9. Rational Expressions 9.1 Multiplication and Division of Rational Expressions 9.2 Expressing Fractions in Terms of the Least Common Multiple of Their Denominators 9.3 Addition and Subtraction of Rational Expressions 9.4 Complex Fractions 9.5 Equations Containing Fractions 9.6 Literal Equations 9.7 Application Problems 10. Radical Expressions 10.1 Introduction to Radical Expressions 10.2 Addition and Subtraction of Radical Expressions 10.3 Multiplication and Division of Radical Expressions 10.4 Solving Equations Containing Radical Expressions 11. Quadratic Equations 11.1 Solving Quadratic Equations by Factoring or by Taking Square Roots 11.2 Solving Quadratic Equations by Completing the Square 11.3 Solving Quadratic Equations by Using the Quadratic Formula 11.4 Complex Numbers 11.5 Graphing Quadratic Equations in Two Variables 11.6 Application Problems Final Exam Appendix Solutions to Chapter Problems Answers to Selected Exercises Glossary Index