As in previous editions, the focus in INTRODUCTORY ALGEBRA remains on the Aufmann Interactive Method (AIM). Students are encouraged to be active participants in the classroom and in their own studies as they work through the How To examples and the paired Examples and You Try It problems. Student engagement is crucial to success. Presenting students with worked examples, and then providing them with the opportunity to immediately solve similar problems, helps them build their confidence and eventually master the concepts. Simplicity is key in the organization of this edition, as in all other editions. All lessons, exercise sets, tests, and supplements are organized around a carefully constructed hierarchy of objectives. Each exercise mirrors a preceding objective, which helps to reinforce key concepts and promote skill building. This clear, objective-based approach allows students to organize their thoughts around the content, and supports instructors as they work to design syllabi, lesson plans, and other administrative documents. New features like Focus on Success, Apply the Concept, and Concept Check add an increased emphasis on study skills and conceptual understanding to strengthen the foundation of student success. The Ninth Edition also features a new design, enhancing the Aufmann Interactive Method and making the pages easier for both students and instructors to follow. Available with InfoTrac Student Collections http://gocengage.com/infotrac.
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Table of Contents
Note: Each chapter begins with a Prep Test and concludes with a Chapter Summary, a Chapter Review, and a Chapter Test. Chapters 2-11 include Cumulative Review Exercises. A. AIM FOR SUCCESS. 1. PREALGEBRA REVIEW. Introduction to Integers. Addition and Subtraction of Integers. Multiplication and Division of Integers. Exponents and the Order of Operations Agreement. Factoring Numbers and Prime Factorization. Addition and Subtraction of Rational Numbers. Multiplication and Division of Rational Numbers. Concepts from Geometry. 2. VARIABLE EXPRESSIONS. Evaluating Variable Expressions. Simplifying Variable Expressions. Translating Verbal Expressions into Variable Expressions. 3. SOLVING EQUATIONS. Introduction to Equations. The Basic Percent Equation and the Uniform Motion Equation. General EquationsPart I. General EquationsPart II. Translating Sentences into Equations. Geometry Problems. Mixture and Uniform Motion Problems. 4. POLYNOMIALS. Addition and Subtraction of Polynomials. Multiplication of Monomials. Multiplication of Polynomials. Integer Exponents and Scientific Notation. Division of Polynomials. 5. FACTORING. Common Factors. Factoring Polynomials of the Form x² + bx + c. Factoring Polynomials of the Form ax² + bx + c. Special Factoring. Factoring Polynomials Completely. Solving Equations. 6. RATIONAL EXPRESSIONS. Multiplication and Division of Rational Expressions. Expressing Fractions in Terms of the Least Common Multiple (LCM) of the denominators. Addition and Subtraction of Rational Expressions. Complex Fractions. Solving Equations Containing Fractions. Ratio and Proportion. Literal Equations. Application Problems. 7. LINEAR EQUATIONS IN TWO VARIABLES. The Rectangular Coordinate System. Linear Equations in Two Variables. Intercepts and Slopes of Straight Lines. Equations of Straight Lines. 8. SYSTEMS OF LINEAR EQUATIONS. Solving Systems of Linear Equations by Graphing. Solving Systems of Linear Equations by the Substitution Method. Solving Systems of Equations by the Addition Method. Application Problems in Two Variables. 9. INEQUALITIES. Sets. The Addition and Multiplication Properties of Inequalities. General Inequalities. Graphing Linear Inequalities. 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. Graphing Quadratic Equations in Two Variables. Application Problems. FINAL EXAM. APPENDIX. Solutions to You-Try-Its. Answers to Selected Exercises. GLOSSARY. INDEX.