Intermediate Algebra An Applied Approach, Student Support Edition

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

• ISBN13: 9780547016429
• ISBN10: 0547016425
• Edition: 7th
• Format: Paperback
• Copyright: 2008-02-05
• Publisher: Brooks Cole

Summary

The Student Support Edition of Intermediate Algebra: An Applied Approach, 7/e, brings comprehensive study skills support to students and the latest technology tools to instructors. In addition, the program now includes concept and vocabulary review material, assignment tracking and time management resources, and practice exercises and online homework to enhance student learning and instruction. With its interactive, objective-based approach, Intermediate Algebra provides comprehensive, mathematically sound coverage of topics essential to the intermediate algebra course. The Seventh Edition features chapter-opening Prep Tests, real-world applications, and a fresh design--all of which engage students and help them succeed in the course. The Aufmann Interactive Method (AIM) is incorporated throughout the text, ensuring that students interact with and master concepts as they are presented.

Table of Contents

Note: Each chapter begins with a Prep Test and concludes with a Chapter Summary, Review Exercises, and a Chapter Test

Chapters 2-12 include Cumulative Review Exercises

AIM for Success

Review of Real Numbers

Introduction to Real Numbers

Operations on Rational Numbers

Variable Expressions

Verbal Expressions and Variable Expressions Focus on Problem Solving: Polya's Four-Step Process Projects and Group Activities: Water Displacement

First-Degree Equations and Inequalities

Solving First-Degree Equations

Applications: Puzzle Problems

Applications: Mixture and Uniform Motion Problems

First-Degree Inequalities

Absolute Value Equations and Inequalities Focus on Problem Solving: Understand the Problem Projects and Group Activities: Electricity

Linear Functions and Inequalities in Two Variables

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: Find a Pattern Projects and Group Activities: Evaluating a Function with a Graphing Calculator; Introduction to Graphing Calculators; Wind-Chill Index

Systems of Equations and Inequalities

Solving Systems of Linear Equations by Graphing and by the Substitution Method

Solving Systems of Linear Equations by the Addition Method

Solving Systems of Equations by Using Determinants

Application Problems

Solving Systems of Linear Inequalities Focus on Problem Solving: Solve an Easier Problem Projects and Group Activities: Using a Graphing Calculator to Solve a System of Equations

Polynomials

Exponential Expressions

Introduction to Polynomial Functions

Multiplication of Polynomials

Division of Polynomials

Factoring Polynomials

Special Factoring

Solving Equations by Factoring Focus on Problem Solving: Find a Counterexample Projects and Group Activities: Astronomical Distances and Scientific Notation

Rational Expressions

Multiplication and Division of Rational Expressions

Addition and Subtraction of Rational Expressions

Complex Fractions

Ratio and Proportion

Rational Equations

Variation Focus on Problem Solving: Implication Projects and Group Activities: Graphing Variation Equations; Transformers

Exponents and Radicals

Rational Exponents and Radical Expressions

Operations on Radical Expressions

Solving Equations Containing Radical Expressions

Complex Numbers Focus on Problem Solving: Another Look at Polya's Four-Step Process Projects and Group Activities: Solving Radical Equations with a Graphing Calculator; The Golden Rectangle

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

Solving Equations That Are Reducible to Quadratic Equations

Quadratic Inequalities and Rational Inequalities

Applications of Quadratic Equations Focus on Problem Solving: Inductive and Deductive Reasoning Projects and Group Activities: Using a Graphing Calculator to Solve a Quadratic Equation

Functions and Relations

Properties of Quadratic Functions

Graphs of Functions

Algebra of Functions

One-to-One and Inverse Functions Focus on Problem Solving: Proof in Mathematics Projects and Group Activities: Finding the Maximum or Minimum of a Function Using a Graphing Calculator; Business Applications of Maximum and Minimum Values of Quadratic Functions

Exponential and Logarithmic Functions

Exponential Functions

Introduction to Logarithms

Graphs of Logarithmic Functions

Solving Exponential and Logarithmic Equations

Applications of Exponential and Logarithmic Functions Focus on Problem Solving: Proof by Contradiction Projects and Group Activities: Solving Exponential and Logarithmic Equations Using a Graphing Calculator; Credit Reports and FICO Scores

Conic Sections

The Parabola

The Circle

The Ellipse and the Hyperbola

Solving Non-linear Systems of Equations

Quadratic Inequalities and Systems of Inequalities Focus on Problem Solving: Using a Variety of Problem-Solving Techniques Projects and Group Activities: The Eccentricity and Foci of an Ellipse; Graphing Conic Sections Using a Graphing Calculator

Sequences and Series

Introduction to Sequences and Series

Arithmetic Sequences and Series

Geometric Sequences and Series

Binomial Expansions Focus on Problem Solving: Forming Negations Projects and Group Activities: ISBN and UPC Numbers Final Exam

Keystroke Guide for the TI-83/83 Plus Calculators

Proofs of Logarithmic Properties Proof of the Formula for the Sum of n Terms of an Geometric Series Proof of the Formula for the Sum of n Terms of an Arithmetic Series Table of Symbols Table of Properties Table of Algebraic and Geometric Formulas Solutions to You Try Its Answers to Selected Exercises

Glossary

Index

Index of Applications

Table of Contents provided by Publisher. All Rights Reserved.