Introductory Algebra An Applied Approach

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  • Edition: 8th
  • Format: Paperback
  • Copyright: 2010-01-01
  • Publisher: Brooks Cole
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As in previous editions, the focus in INTRODUCTORY ALGEBRA remains on the Aufmann Interactive Method (AIM). Users 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.

Table of Contents

Prealgebra Review
Prep Test
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
Focus on Problem Solving: Inductive Reasoning
Projects and Group Activities: The +/- Key on a Calculator, Balance of Trade
Chapter 1 Summary
Concept Review
Chapter 1 Review Exercises
Chapter 1 Test
Variable Expressions
Prep Test
Evaluating Variable Expressions
Simplifying Variable Expressions
Translating Verbal Expressions into Variable Expressions
Focus on Problem Solving: From Concrete to Abstract
Projects and Group Activities: Prime and Composite Numbers
Chapter 2 Summary
Concept Review
Chapter 2 Review Exercises
Chapter 2 Test
Cumulative Review Exercises
Solving Equations
Prep Test
Introduction to Equations
General Equations--Part I
General Equations--Part II
Translating Sentences into Equations
Geometry Problems
Mixture and Uniform Motion Problems
Focus on Problem Solving: Trial-and-Error Approach to Problem Solving
Projects and Group Activities: Nielsen Ratings
Chapter 3 Summary
Concept Review
Chapter 3 Review Exercises
Chapter 3 Test
Cumulative Review Exercises
Prep Test
Addition and Subtraction of Polynomials
Multiplication of Monomials
Multiplication of Polynomials
Integer Exponents and Scientific Notation
Division of Polynomials
Focus on Problem Solving: Dimensional Analysis
Projects and Group Activities: Diagramming the Square of a Binomial, Pascal's Triangle
Chapter 4 Summary
Concept Review
Chapter 4 Review Exercises
Chapter 4 Test
Cumulative Review Exercises
Prep Test
Common Factors
Factoring Polynomials of the Form x? + bx + c
Factoring Polynomials of the Form ax? + bx + c
Special Factoring
Solving Equations
Focus on Problem Solving: Making a Table
Projects and Group Activities: Evaluating Polynomials Using a Graphing Calculator, Exploring Integers, Using the World Wide Web
Chapter 5 Summary
Concept Review
Chapter 5 Review Exercises
Chapter 5 Test
Cumulative Review Exercises
Rational Expressions
Prep Test
Multiplication and Division of Rational Expressions
Expressing Fractions in Terms of the Least Common Multiple (LCM)
Addition and Subtraction of Rational Expressions
Complex Fractions
Solving Equations Containing Fractions
Ratio and Proportion
Literal Equations
Application Problems
Focus on Problem Solving: Negations and If ? then Sentences
Projects and Group Activities: Intensity of Illumination
Chapter 6 Summary
Concept Review
Chapter 6 Review Exercises
Chapter 6 Test
Cumulative Review Exercises
Linear Equations in Two Variables
Prep Test
The Rectangular Coordinate System
Linear Equations in Two Variables
Intercepts and Slopes of Straight Lines
Equations of Straight Lines
Focus on Problem Solving: Counterexamples
Projects and Group Activities: Graphing Linear Equations with a Graphing Utility
Chapter 7 Summary
Concept Review
Chapter 7 Review Exercises
Chapter 7 Test
Cumulative Review Exercises
Systems of Linear Equations
Prep Test
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
Focus on Problem Solving: Calculators
Projects and Group Activities: Solving a System of Equations with a Graphing Calculator
Chapter 8 Summary
Concept Review
Chapter 8 Review Exercises
Chapter 8 Test
Cumulative Review Exercises
Prep Test
The Addition and Multiplication Properties of Inequalities
General Inequalities
Graphing Linear Inequalities
Focus on Problem Solving: Graphing Data
Projects and Group Activities: Mean and Standard Deviation
Chapter 9 Summary
Concept Review
Chapter 9 Review Exercises
Chapter 9 Test
Cumulative Review Exercises
Radical Expressions
Prep Test
Introduction to Radical Expressions
Addition and Subtraction of Radical Expressions
Multiplication and Division of Radical Expressions
Solving Equations Containing Radical Expressions
Focus on Problem Solving: Deductive Reasoning
Projects and Group Activities: Distance to the Horizon
Chapter 10 Summary
Concept Review
Chapter 10 Review Exercises
Chapter 10 Test
Cumulative Review Exercises
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
Graphing Quadratic Equations in Two Variables
Application Problems
Focus on Problem Solving: Algebraic Manipulation and Graphing Techniques
Projects and Group Activities: Graphical Solutions of Quadratic Equations, Geometric Construction of Completing the Square
Chapter 11 Summary
Concept Review
Chapter 11 Review Exercises
Chapter 11 Test
Cumulative Review Exercises
Final Exam
Solutions to You-Try-Its
Answers to Selected Exercises
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