Beginning Algebra with Applications

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

• ISBN13: 9780618803590
• ISBN10: 0618803599
• Edition: 7th
• Format: Hardcover
• Copyright: 2007-01-10
• Publisher: Brooks Cole

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

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