Algebra: Introductory and Intermediate: An Applied Approach / Edition 5

Algebra: Introductory and Intermediate: An Applied Approach / Edition 5

by Richard N. Aufmann, Joanne Lockwood, Vernon C. Barker
     
 

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ISBN-10: 1439046956

ISBN-13: 9781439046951

Pub. Date: 02/16/2010

Publisher: Cengage Learning


As in previous editions, the focus in ALGEBRA: INTRODUCTORY & INTERMEDIATE 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. The role of "active participant" is crucial to success.

Overview


As in previous editions, the focus in ALGEBRA: INTRODUCTORY & INTERMEDIATE 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. The role of "active participant" is crucial to success. Presenting students with worked examples, and then providing them with the opportunity to immediately work similar problems, helps them build their confidence and eventually master the concepts. To this point, simplicity plays a key factor 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. This "objective-based" approach not only serves the needs of students, in terms of helping them to clearly organize their thoughts around the content, but instructors as well, as they work to design syllabi, lesson plans, and other administrative documents. The Eighth Edition features a new design, enhancing the Aufmann Interactive Method and the organization of the text around objectives, making the pages easier for both students and instructors to follow.

Product Details

ISBN-13:
9781439046951
Publisher:
Cengage Learning
Publication date:
02/16/2010
Series:
Available Titles CourseMate Series
Edition description:
Older Edition
Pages:
928
Product dimensions:
8.40(w) x 10.80(h) x 1.10(d)

Table of Contents


1. REAL NUMBERS AND VARIABLE EXPRESSIONS. Prep Test. Integers. Rational and Irrational Numbers. The Order of Operations Agreement. Variable Expressions. Sets. Focus on Problem Solving. Projects & Group Activities. Chapter 1 Summary. Concept Review. Chapter 1 Review Exercises. Chapter 1 Test. 2. FIRST-DEGREE EQUATIONS AND INEQUALITIES. Prep Test. Introduction to Equations. General Equations. Translating Sentences into Equations. Mixture and Uniform Motion Problems. First-Degree Inequalities. Absolute Value Equations and Inequalities. Focus on Problem Solving. Projects & Group Activities. Chapter 2 Summary. Concept Review. Chapter 2 Review Exercises. Chapter 2 Test. Cumulative Review Exercises. 3. GEOMETRY. Prep Test. Introduction to Geometry. Plane Geometric Figures. Solids. Focus on Problem Solving. Projects & Group Activities. Chapter 3 Summary. Concept Review. Chapter 3 Review Exercises. Chapter 3 Test. Cumulative Review Exercises. 4. LINEAR FUNCTIONS AND INEQUALITIES IN TWO VARIABLES. Prep Test. The Rectangular Coordinate System. Introduction to Functions. Linear Functions. Slope of a Straight Line. Finding Equations of Lines. Parallel and Perpendicular Lines. Inequalities in Two Variables. Focus on Problem Solving. Projects & Group Activities. Chapter 4 Summary. Concept Review. Chapter 4 Review Exercises. Chapter 4 Test. Cumulative Review Exercises. 5. SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES. Prep Test. Solving Systems of Linear Equations by Graphing and by the Substitution Method. Solving Systems of Linear Equations by the Addition Method. Application Problems. Solving Systems of Linear Inequalities. Solving Systems of Equations by Using Determinants. Focus on Problem Solving. Projects & Group Activities. Chapter 5 Summary. Concept Review. Chapter 5 Review Exercises. Chapter 5 Test. Cumulative Review Exercises. 6. POLYNOMIALS. Prep Test. Exponential Expressions. Introduction to Polynomial Functions. Multiplication of Polynomials. Division of Polynomials. Focus on Problem Solving. Projects & Group Activities. Chapter 6 Summary. Concept Review. Chapter 6 Review Exercises. Chapter 6 Test. Cumulative Review Exercises. 7. FACTORING. Prep Test. Common Factors. Factoring Polynomials of the Form x2 + bx + c. Factoring Polynomials of the Form ax2 + bx + c. Special Factoring. Solving Equations. Focus on Problem Solving. Projects & Group Activities. Chapter 7 Summary. Concept Review. Chapter 7 Review Exercises. Chapter 7 Test. Cumulative Review Exercises. 8. RATIONAL EXPRESSIONS. Prep Test. Multiplication and Division of Rational Expressions. Addition and Subtraction of Rational Expressions. Complex Fractions. Solving Equations Containing Fractions. Ratio and Proportion. Literal Equations. Application Problems. Variation. Focus on Problem Solving. Projects & Group Activities. Chapter 8 Summary. Concept Review. Chapter 8 Review Exercises. Chapter 8 Test. Cumulative Review Exercises. 9. EXPONENTS AND RADICALS. Prep Test. Rational Exponents and Radical Expressions. Operations on Radical Expressions. Solving Equations Containing Radical Expressions. Complex Numbers. Focus on Problem Solving. Projects & Group Activities. Chapter 9 Summary. Concept Review. Chapter 9 Review Exercises. Chapter 9 Test. Cumulative Review Exercises. 10. QUADRATIC EQUATIONS. Prep Test. 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. Solving Equations That Are Reducible to Quadratic Equations. Quadratic Inequalities and Rational Inequalities. Applications of Quadratic Equations. Focus on Problem Solving. Projects & Group Activities. Chapter 10 Summary. Concept Review. Chapter 10 Review Exercises. Chapter 10 Test. Cumulative Review Exercises. 11. FUNCTIONS AND RELATIONS. Prep Test. Properties of Quadratic Functions. Graphs of Functions. Algebra of Functions. One-to-One and Inverse Functions. Conic Sections. Focus on Problem Solving. Projects & Group Activities. Chapter 11 Summary. Concept Review. Chapter 11 Review Exercises. Chapter 11 Test. Cumulative Review Exercises. 12. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Prep Test. Exponential Functions. Introduction to Logarithms. Graphs of Logarithmic Functions. Solving Exponential and Logarithmic Equations. Applications of Exponential and Logarithmic Functions. Focus on Problem Solving. Projects & Group Activities. Chapter 12 Summary. Concept Review. Chapter 12 Review Exercises. Chapter 12 Test. Cumulative Review Exercises. R. REVIEW OF INTRODUCTORY ALGEBRA TOPICS. Variable Expressions. Equations and Inequalities. Linear Equations in Two Variables. Polynomials.

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