Beginning Algebra with Applications - Hardcover

Aufmann, Richard N.; Barker, Vernon C.; Lockwood, Joanne S.

Hardcover

ISBN 10: 0618803599 ISBN 13: 9780618803590

Publisher: Houghton Mifflin, 2007

Synopsis

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.

• New! Interactive Exercises appear at the beginning of an objective's exercise set (when appropriate), and provide students with guided practice on some of the objective's underlying principles.
• New! Think About It Exercises are conceptual in nature and appear near the end of an objective's exercise set. They ask the students to think about the objective's concepts, make generalizations, and apply them to more abstract problems. The focus is on mental mathematics, not calculation or computation, and help students synthesize concepts.
• New! Important Points have been highlighted to capture students' attention. With these signposts, students are able to recognize what is most important and to study more efficiently.
• New! A Concepts of Geometry section has been added to Chapter 1.
• New! Coverage of operations on fractions has been changed in Section 1.3 so that multiplication and division of rational numbers are presented first, followed by addition and subtraction
• New! A Complex Numbers section has been added to Chapter 11, "Quadratic Equations."
• New Media! Two key components have been added to the technology package: HM Testing (powered by Diploma) and, as part of the Eduspace course management tool, HM Assess, an online diagnostic assessment tool.

About this title

Review

A. AIM FOR SUCCESS. 1. PRE-ALGEBRA REVIEW. Introduction to Integers. Operations with Integers. Rational Numbers. Exponents and the Order of Operations Agreement. Concepts from Geometry. 2. VARIABLE EXPRESSIONS. Evaluating Variable Expressions. Simplifying Variable Expressions. Translating Verbal Expressions into Variable Expressions. 3. SOLVING EQUATIONS AND INEQUALITIES. Introduction to Equations. Applications of Equations of the Form ax = b. General Equations. Inequalities. 4. SOLVING EQUATIONS AND INEQUALITIES: APPLICATIONS. Translating Sentences into Equations. Geometry Problems. Markup and Discount Problems. Investment Problems. Mixture Problems. Uniform Motion Problems. Inequalities. 5. LINEAR EQUATIONS AND INEQUALITIES. The Rectangular Coordinate System. Graphs of Straight Lines. Slopes of Straight Lines. Equations of Straight Lines. Functions. Graphing Linear Inequalities. 6. SYSTEMS OF LINEAR EQUATIONS. Solving Systems of Linear Equations by Graphing. Solving Systems of Linear Equations by the Substitution Method. Solving Systems of Linear Equations by the Addition Method. Application Problems in Two Variables. 7. POLYNOMIALS. Addition and Subtraction of Polynomials. Multiplication of Monomials. Multiplication of Polynomials. Integer Exponents and Scientific Notation. Division of Polynomials. 8. FACTORING. Common Factors. Factoring Polynomials of the Form x^2 + bx + c. Factoring Polynomials of the Form ax^2 + bx + c. Special Factoring. Factoring Polynomials Completely. Solving Equations. 9. RATIONAL EXPRESSIONS. Multiplication and Division of Rational Expressions. Expressing Fractions in Terms of the LCD. Addition and Subtraction of Rational Expressions. Complex Fractions. Equations Containing Fractions. Variation. Literal Equations. Application Problems. 10. RADICAL EXPRESSIONS. Introduction to Radical Expressions. Addition and Subtraction of Radical Expressions. Multiplication and Division of Radical Expressions. Solving Equations Containing Radical Expressions. 11. QUADRATIC EQUATIONS. Solving Quadratic Equations by Factoring or by Taking Square Roots. Solving Quadratic Equations by Completing the Square. Solving Quadratic Equations by Using the Quadratic Formula. Complex Numbers. Graphing Quadratic Equations in Two Variables. Application Problems. Final Exam. Appendix.

About the Author

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.

Edition details

• Publisher: Houghton Mifflin
• Publication date: 2007
• Language: English
• ISBN 10: 0618803599
• ISBN 13: 9780618803590
• Binding: Hardcover
• Number of pages: 672