Algebra Beginning and Intermediate

by Aufmann, Richard N.; Lockwood, Joanne

• ISBN13: 9780618391844
• ISBN10: 0618391843
• Edition: 1st
• Format: Hardcover
• Copyright: 2004-02-09
• Publisher: Brooks Cole

Summary

Based on the best-selling series by the Aufmann team, this new hardcover text for the combined introductory and intermediate algebra course adheres to the formula that has made the Aufmann developmental texts so reliable for both students and instructors. The text's clear writing style, emphasis on problem-solving strategies, and proven Aufmann Interactive Method--in an objective-based framework--offer guided learning for both lecture and self-paced courses. The completely integrated learning system is organized by objectives. Each chapter begins with a list of learning objectives, which are woven throughout the text, in Exercises, Chapter Tests, and Cumulative Reviews, as well as through the print and multimedia ancillaries. The result is a seamless, easy-to-follow learning system. The Instructor's Annotated Edition (IAE) features a format rich with instructor support materials at point-of-use in the margins surrounding a reduced student text page. Instructor Notes offer teaching tips, common student errors, or historical notes. AIM for Success, a special Preface for Students, guides students in successful use of the text and walks them through the Aufmann Interactive Method (AIM). Suggestions for teaching AIM for Success as a lesson on the first day of class are available in the Instructor's Resource Manual. Prep Tests at the beginning of each chapter preview the prerequisite skills that will be needed. The answers to these questions can be found in the Answer Appendix along with a reference to the objective from which the review question was taken. The Go Figure problem that follows the Prep Test is a puzzle problem designed to generate interest. The Aufmann Interactive Method (AIM), which enhances the presentation of every objective, features one or more sets of matched-pair examples that encourage students to interact with the text. The first example in each set is completely worked out; the matched Problem prompts students to practice concepts as they are presented in the text. Each Problem includes a reference to an Appendix in the back of the text where there is a completely worked-out solution. This immediate feedback reinforces the concept, helps to identify problem areas, and prevents frustration. Eduspace, powered by Blackboard, for the Aufmann/Lockwood Algebra: Beginning and Intermediate course features algorithmic exercises, test bank content in question pools, an online study guide, interactive tutorials for appropriate sections and video explanations.

Table of Contents

Note: Each chapter begins with a Prep Test and concludes with Focus on Problem Solving, Projects and Group Activities, a Chapter Summary, Chapter Review

Exercises, and a Chapter Test

Real Numbers and Variable Expressions Section

Introduction to Integers Section

Operations with Integers Section

Rational Numbers Section

Exponents and the Order of Operations Agreement Section

Variable Expressions Section

Translating Verbal Expressions into Variable Expressions

Solving Equations and Inequalities Section

Introduction to Equations Section

General Equations Section

Application Problems Section

Geometry Problems Section

Markup and Discount Problems Section

Applications: Problems Involving Percent Section

Inequalities in One Variable Section

Absolute Value Equations and Inequalities

Linear Functions and Inequalities in Two Variables Section

The Rectangular Coordinate System Section

Introduction to Functions Section

Linear Functions Section

Slope of a Straight Line Section

Finding Equations of Lines Section

Parallel and Perpendicular Lines Section

Inequalities in Two Variables

Systems of Equations and Inequalities Section

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

Solving Systems of Linear Equations by the Addition Method Section

Solving Systems of Equations by Using Matrices and by Using Determinants Section

Application Problems Section

Solving Systems of Linear Inequalities

Polynomials Section

Introduction to Polynomials Section

Multiplication of Monomials Section

Multiplication of Polynomials Section

Integer Exponents and Scientific Notation Section

Division of Polynomials

Factoring Section

Common Factors Section

Factoring Polynomials of the Form x2 + bx + c Section

Factoring Polynomials of the Form ax2 + bx + c Section

Special Factoring Section 6.5 Solving Equations by factoring

Rational Expressions Section

Introduction to Rational Expressions Section

Operations on Rational Expressions Section

Complex Fractions Section

Rational Equations Section

Proportions and Variation Section

Literal Equations

Rational Exponents and Radicals Section

Rational Exponents and Radical Expressions Section

Operations on Radical Expressions Section

Radical Functions Section

Solving Equations Containing Radical Expressions Section

Complex Numbers

Quadratic Equations and Inequalities Section

Solving Quadratic Equations by Factoring or by Taking Square Roots Section

Solving Quadratic Equations by Completing the Square and by Using the Quadratic Formula Section

Equations That Are Reducible to Quadratic Equations Section

Applications of Quadratic Equations Section

Nonlinear Inequalities Section

Properties of Quadratic Functions Section

Minimum or Maximum Value of a Quadratic Function

Functions and Relations Section

Graphs of Functions Section

Translations of Graphs Section

Algebra of Functions Section

One-to-One and Inverse Functions Section

The Parabola

Exponential and Logarithmic Functions Section

Exponential Functions Section

Introduction to Logarithms Section

Graphs of Logarithmic Functions Section

Exponential and Logarithmic Equations Section

Applications of Exponential and Logarithmic Functions

Review of Beginning Algebra Topics Section

Variable Expressions Section

Equations and Inequalities Section

Linear Equations in Two Variables Section

Polynomials

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