9780618803590

Beginning Algebra with Applications

by ; ;
  • ISBN13:

    9780618803590

  • ISBN10:

    0618803599

  • Edition: 7th
  • Format: Hardcover
  • Copyright: 1/10/2007
  • Publisher: Brooks Cole
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Summary

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 Exercisesappear 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 ItExercises 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 Pointshave 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.

Table of Contents

Prealgebra Review
Introduction to Integers
Operations with Integers
Rational Numbers
Exponents and the Order of Operations Agreement
Concepts from Geometry
Variable Expressions
Evaluating Variable Expressions
Simplifying Variable Expressions
Translating Verbal Expressions into Variable Expressions
Solving Equations and Inequalities
Introduction to Equations
General Equations
Inequalities
Solving Equations and Inequalities: Applications
Translating Sentences into Equations
Integer, Coin, and Stamp Problems
Geometry Problems
Markup and Discount Problems
Investment Problems
Mixture Problems
Uniform Motion Problems
Inequalities
Linear Equations and Inequalities
The Rectangular Coordinate System
Graphs of Straight Lines
Slopes of Straight Lines
Equations of Straight Lines
Functions
Graphing Linear Inequalities
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
Polynomials
Addition and Subtraction of Polynomials
Multiplication of Monomials
Multiplication of Polynomials
Integer Exponents and Scientific Notation
Division of Polynomials
Factoring
Common Factors
Factoring Polynomials of the Form x2 + bx + c
Factoring Polynomials of the Form ax2 + bx + c
Special Factoring
Solving Equations
Rational Expressions
Multiplication and Division of Rational Expressions
Expressing Fractions in Terms of the Least Common Multiple of Their Denominators
Addition and Subtraction of Rational Expressions
Complex Fractions
Equations Containing Fractions
Literal Equations
Application Problems
Radical Expressions
Introduction to Radical Expressions
Addition and Subtraction of Radical Expressions
Multiplication and Division of Radical Expressions
Solving Equations Containing Radical Expressions
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
Solutions to Chapter Problems
Answers to Selected Exercises
Glossary
Index
Table of Contents provided by Publisher. All Rights Reserved.

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