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With its complete, interactive, objective-based approach, Introductory Algebra: An Applied Approach, is a best-seller in this market. The Seventh Edition provides mathematically sound and comprehensive coverage of the topics considered essential in a beginning algebra course. An Instructor's Annotated Edition features a comprehensive selection of instructor support materials. The Aufmann Interactive Method is incorporated throughout the text, ensuring that students interact with and master the concepts as they are presented. This approach is especially important in the context of rapidly growing distance-learning and self-paced laboratory situations.
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 begins with a Prep Test and concludes with a Summary, Review Exercises, and Test. Chapters 2-6 are followed by Cumulative Review Exercises. 1. Prealgebra Review Section 1.1 Introduction to Integers Section 1.2 Addition and Subtraction of Integers Section 1.3 Multiplication and Division of Integers Section 1.4 Exponents and the Order of Operations Agreement Section 1.5 Factoring Numbers and Prime Factorization Section 1.6 Addition and Subtraction of Rational Numbers Section 1.7 Multiplication and Division of Rational Numbers Section 1.8 Concepts from Geometry Focus on Problem Solving: Inductive Reasoning Projects and Group Activities: The +/- Key on a Calculator 2. Variable Expressions Section 2.1 Evaluating Variable Expressions Section 2.2 Simplifying Variable Expressions Section 2.3 Translating Verbal Expressions into Variable Expressions Focus on Problem Solving: From Concrete to Abstract Projects and Group Activities: Prime and Composite Numbers 3. Solving Equations Section 3.1 Introduction to Equations Section 3.2 General Equations—Part I Section 3.3 General Equations—Part II Section 3.4 Translating Sentences into Equations Section 3.5 Geometry Problems Section 3.6 Mixture and Uniform Motion Problems Focus on Problem Solving: Trial-and-Error Approach to Problem Solving Projects and Group Activities: Nielsen Ratings 4. Polynomials Section 4.1 Addition and Subtraction of Polynomials Section 4.2 Multiplication of Monomials Section 4.3 Multiplication of Polynomials Section 4.4 Integer Exponents and Scientific Notation Section 4.5 Division of Polynomials Focus on Problem Solving: Dimensional Analysis Projects and Group Activities: Diagramming the Square of a Binomial 5. Factoring Section 5.1 Common Factors Section 5.2 Factoring Polynomials of the Form x2 + bx + c Section 5.3 Factoring Polynomials of the Form ax2 + bx + c Section 5.4 Special Factoring Section 5.5 Solving Equations Focus on Problem Solving: Making a Table Projects and Group Activities: Evaluating Polynomials Using a Graphing Calculator 6. Rational Expressions Section 6.1 Multiplication and Division of Rational Expressions Section 6.2 Expressing Fractions in Terms of the Least Common Multiple (LCM) Section 6.3 Addition and Subtraction of Rational Expressions Section 6.4 Complex Fractions Section 6.5 Solving Equations Containing Fractions Section 6.6 Ratio and Proportion Section 6.7 Literal Equations Section 6.8 Application Problems Focus on Problem Solving: Negations and If. . .then Sentences Projects and Group Activities: Intensity of Illumination 7. Linear Equations in Two Variables Section 7.1 The Rectangular Coordinate System Section 7.2 Linear Equations in Two Variables Section 7.3 Intercepts and Slopes of Straight Lines Section 7.4 Equations of Straight Lines Focus on Problem Solving: Counterexamples Projects and Group Activities: Graphing Linear Equations with a Graphing Utility 8. Systems of Linear Equations Section 8.1 Solving Systems of Linear Equations by Graphing Section 8.2 Solving Systems of Linear Equations by the Substitution Method Section 8.3 Solving Systems of Equations by the Addition Method Section 8.4 Application Problems in Two Variables Focus on Problem Solving: Using a Table and Searching for a Pattern Projects and Group Activities: Finding a Pattern 9. Inequalities Section 9.1 Sets Section 9.2 The Addition and Multiplication Properties of Inequalities Section 9.3 General Inequalities Section 9.4 Graphing Linear Inequalities Focus on Problem Solving: Graphing Data Projects and Group Activities: Mean and Standard Deviation 10. Radical Expressions Section 10.1 Introduction to Radical Expressions Section 10.2 Addition and Subtraction of Radical Expressions Section 10.3 Multiplication and Division of Radical Expressions Section 10.4 Solving Equations Containing Radical Expressions Focus on Problem Solving: Deductive Reasoning Projects and Group Activities: Distance to the Horizon 11. Quadratic Equations Section 11.1 Solving Quadratic Equations by Factoring or by Taking Square Roots Section 11.2 Solving Quadratic Equations by Completing the Square Section 11.3 Solving Quadratic Equations By Using the Quadratic Formula Section 11.4 Graphing Quadratic Equations in Two Variables Section 11.5 Application Problems Focus on Problem Solving: Algebraic Manipulation and Graphing Techniques Projects and Group Activities: Graphical Solutions of Quadratic Equations