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Elementary Algebra: Graphs & Models
Marvin L. Bittinger, Indiana University Purdue University Indianapolis
David J. Ellenbogen, Community College of Vermont
Barbara L. Johnson, Indiana University Purdue University at Indianapolis

ISBN-10: 0321186184
ISBN-13:  9780321186188

Publisher:  Pearson
Copyright:  2005
Format:  Cloth; 720 pp
Published:  10/18/2004
Status: Instock


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Description

Geared toward helping students visualize and apply mathematics, Elementary Algebra: Graphs and Models uses illustrations, graphs, and graphing technology to enhance students' mathematical skills. This is accomplished through Interactive Discoveries, Algebraic/Graphical Side-by-Sides, and the incorporation of real-data applications. In addition, students are taught problem-solving skills using the Bittinger hallmark five-step problem-solving process coupled with Connecting the Concepts and Aha! exercises. And, as you have come to expect with any Bittinger text, we bring you a complete supplements package that now includes an Annotated Instructor's Edition and MyMathLab, Addison-Wesley's online course solution.


Features

  • Algebraic/Graphical Side-by-Sides Algebraic/Graphical Side-by-Sides give students a direct comparison between these two problem-solving methods. They appeal to both algebraic and visual learners and emphasize that there is more than one way to obtain a result. This approach also illustrates the comparative efficiency and accuracy of the two methods.
  • Interactive Discoveries Interactive Discoveries invite students to develop analytical and reasoning skills while taking an active role in the learning process. These discoveries can be used as lecture launchers to introduce new topics at the start of a class or as an independent guided discovery of a new concept.
  • Connecting the Concepts To help students understand the “big picture,”Connecting the Concepts subsections within each chapter relate the concept at hand to previously learned and upcoming concepts. Because students may occasionally “lose sight of the forest because of the trees,” this feature will help them keep better track of their bearings as they encounter new material.
  • Five-Step Problem-Solving Process Bittinger's five-step problem-solving process (Familiarize, Translate, Carry Out, Check, State) is introduced early in the text and used consistently throughout whenever students encounter an application problem. This provides students with a consistent framework for solving application problems.
  • Chapter Openers Each chapter opens with a real-data application, including a data table (numerical representation) and usually a graphical representation of the data. Data tables and graphs are used frequently throughout the body of the text to appeal to diverse learning styles.
  • Use of Color There is a very intentional pedagogical use of color in the graphs (y1 is black, y2 is red, y3 is blue) and other technical art. Lines are both labeled and color-coded. This consistent use of color in the art and design makes the presentation more attractive and easier to read.
  • Annotated Examples Learning is carefully guided with numerous color-coded art pieces and step-by-step annotations alongside examples. Substitutions and annotations are highlighted in red so students can see exactly what is happening in each step.
  • Collaborative Corners Collaborative Corner exercises appear approximately three times per chapter, after the section exercise set. These optional activities provide instructors and students the opportunity to incorporate group learning.
  • Real-Data Applications Real-data applications, often denoted in examples and exercises with a source line, serve to motivate students by showing them how the mathematics they are studying in their text relates to their everyday lives.
  • Exercise Sets The exercise sets provide ample opportunity for students to practice what they have learned. A variety of types of exercises are included in order to reach different levels of understanding. These include skill-based, discussion and writing, skill maintenance, Aha!, graphing-calculator encouraged, and synthesis exercises.
  • Study Tips To help students develop good study habits throughout this course, Study Tips are found in the margins and interspersed throughout the first seven chapters. These tips range from how to approach assignments, to reminders of the various study aids that are available, to strategies for preparing for a final exam.
  • Aha! In an effort to discourage rote learning and reward students who “look before they leap” into a problem, these exercises can be solved quickly if the student has the proper insight. The Aha! designation is used the first time a new insight can be used on a particular type of exercise and indicates to the student that there is a simpler way to complete the exercise that requires less lengthy computation. It's then up to the student to find the simpler approach and determine if and when that particular insight can be used again in subsequent exercises.
  • Technology Throughout each chapter, optional graphing calculator examples help students use this technology to better visualize a concept that they have just learned. To connect this feature to the exercise sets, certain exercises are marked with a graphing calculator icon and reinforce the use of this optional technology.
  • Annotated Instructor's Edition The Annotated Instructor's Edition includes all the answers to the exercise sets, usually right on the page where the exercises appear, and has Teaching Tips in the margins that give insights and classroom discussion suggestions that will be especially useful for new instructors. These handy answers and ready Teaching Tips will help both new and experienced instructors save preparation time.


Table of Contents



1. Introduction to Algebraic Expressions.

Introduction to Algebra.

The Commutative, Associative, and Distributive Laws.

Fraction Notation.

Positive and Negative Real Numbers.

Addition of Real Numbers.

Subtraction of Real Numbers.

Multiplication and Division of Real Numbers.

Exponential Notation and Order of Operations.



2. Equations, Inequalities, and Problem Solving.

Solving Equations.

Using the Principles Together.

Formulas.

Applications with Percent.

Problem Solving.

Solving Inequalities.

Solving Applications with Inequalities.



3. Graphs and Linear Equations.

Reading Graphs, Plotting Points, and Estimating Values.

Graphing Equations.

Solving Equations by Graphing.

Graphing and Intercepts.

Rates and Models.

Slope.

Slope-Intercept Form.

Point-Slope Form.



4. Systems of Equations and Problem Solving.

Systems of Equations and Graphing.

Systems of Equations and Substitution.

Systems of Equations and Elimination.

More Applications Using Systems.

Linear Inequalities in Two Variables.

Systems of Linear Inequalities.



5. Polynomials.

Exponents and Their Properties.

Polynomials.

Addition and Subtraction of Polynomials.

Multiplication of Polynomials.

Special Products.

Polynomials in Several Variables.

Division of Polynomials.

Negative Exponents and Scientific Notation.



6. Polynomials and Factoring.

Introduction to Factoring.

Factoring Trinomials of the Type x ² + bx + c.

Factoring Trinomials of the Type ax² + bx + c.

Factoring Perfect-Square Trinomials and Differences of Squares.

Factoring: A General Strategy.

Solving Quadratic Equations by Factoring.

Solving Applications.



7. Rational Expressions and Equations.

Rational Expressions.

Multiplication and Division.

Addition, Subtraction, and Least Common Denominators.

Addition and Subtraction with Unlike Denominators.

Complex Rational Expressions.

Solving Rational Equations.

Applications Using Rational Equations and Proportions.

Direct and Inverse Variation.



8. Radical Expressions and Equations.

Introduction to Square Roots and Radical Expressions.

Multiplying and Simplifying Radical Expressions.

Quotients Involving Square Roots.

Radical Expressions with Several Terms.

Radical Equations.

Applications Using Right Triangles.

Higher Roots and Rational Exponents.



9. Quadratic Equations.

Solving Quadratic Equations: The Principle of Square Roots.

Solving Quadratic Equations: Completing the Square.

The Quadratic Formula and Applications.

Formulas and Equations.

Complex Numbers as Solutions of Quadratic Equations.

Graphs of Quadratic Equations.

Functions.



Appendix A: Sets.


Appendix B: Factoring Sums or Differences of Cubes.


Table 1: Fractional and Decimal Equivalents.


Table 2: Squares and Square Roots.


Table 3: Geometric Formulas.



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Websites and Online Courses

MyMathLab with eBook -- Instant Access
Bittinger, Ellenbogen & Johnson
©2005  |  On-line Supplement; 720 pp  |  Access Code Required  |  Live
ISBN-10: 0321194888  |  ISBN-13: 9780321194886
 |  Students, buy access Take a Tour  |  More Info

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Instructor's Solutions Manual for Elementary Algebra: Graphs & Models
Penna
©2005  |  Pearson  |  Paper; 396 pp  |  Instock
ISBN-10: 0321193849  |  ISBN-13: 9780321193841

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Printable Test Bank and Instructor's Resource Guide for Elementary Algebra: Graphs & Models
Stevenson
©2005  |  Pearson  |  Paper; 500 pp  |  Instock
ISBN-10: 0321194896  |  ISBN-13: 9780321194893

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Annotated Instructor's Edition
Bittinger, Ellenbogen & Johnson
©2005  |  Pearson  |  Cloth; 700 pp  |  Instock
ISBN-10: 0321193695  |  ISBN-13: 9780321193698
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Annotated Instructor's Edition plus Graphing Calculator Manual
Penna
©2005  |  Pearson  |  Cloth Package  |  Instock
ISBN-10: 0321200268  |  ISBN-13: 9780321200266
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MathXL -- Instant Access -- for Elementary Algebra: Graphs & Models
Bittinger, Ellenbogen & Johnson
©2005  |  Pearson  |  On-line Supplement  |  Live
ISBN-10: 0321236769  |  ISBN-13: 9780321236760
More Info

MyMathLab with eBook -- Instant Access
Bittinger, Ellenbogen & Johnson
©2005  |  On-line Supplement; 720 pp  |  Access Code Required  |  Live
ISBN-10: 0321194888  |  ISBN-13: 9780321194886
 |  Students, buy access Take a Tour  |  More Info

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Websites and online courses

MyMathLab with eBook -- Instant Access
Bittinger, Ellenbogen & Johnson
©2005  |  On-line Supplement; 720 pp  |  Access Code Required  |  Live
ISBN-10: 0321194888  |  ISBN-13: 9780321194886
 |  Students, buy access More Info

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Other student resources

Digital Video Tutor for Elementary Algebra: Graphs & Models
Bittinger, Ellenbogen & Johnson
©2005  |  Pearson  |  CD-ROM Only; 0 pp  |  Instock
ISBN-10: 0321194942  |  ISBN-13: 9780321194947
More Info

Graphing Calculator Manual for Elementary Algebra: Graphs & Models
Penna
©2005  |  Pearson  |  Paper; 72 pp  |  Instock
ISBN-10: 0321193814  |  ISBN-13: 9780321193810
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MathXL Tutorials on CD for Elementary Algebra: Graphs & Models
Bittinger, Ellenbogen & Johnson
©2005  |  Pearson  |  CD-ROM Only  |  Instock
ISBN-10: 0321193822  |  ISBN-13: 9780321193827
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Student Solutions Manual for Elementary Algebra: Graphs & Models
Penna
©2005  |  Pearson  |  Paper; 500 pp  |  Instock
ISBN-10: 032119490X  |  ISBN-13: 9780321194909
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Video Series
Bittinger, Ellenbogen & Johnson
©2005  |  Pearson  |  Video  |  Instock
ISBN-10: 0321194926  |  ISBN-13: 9780321194923
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For Beginning Algebra

Algebra Review Study Card, 2/E
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Trigonometry, 2/E
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For the Mathematics Discipline

Allied Health Study Card, 2/E
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Basic Math Review Card, 2/E
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Center for Excellence Sticker
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Concept Videos: Algebra
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Concept Videos: Basic Math & Prealgebra
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Discovering Algebra: Examples with Keystrokes on the TI-83/TI-82 and TI-85/TI-86, A Laboratory Approach
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ISBN-10: 0136492037  |  ISBN-13: 9780136492030
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Graphing Calculator Tutorial CD
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ISBN-10: 0321357744  |  ISBN-13: 9780321357748
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Overcoming Math Anxiety, 2/E
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ISBN-10: 0321069188  |  ISBN-13: 9780321069184
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Prealgebra Review Workbook
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Review of Algebra, A
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ISBN-10: 0201773473  |  ISBN-13: 9780201773477
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Spanish Basic Math Study Card
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TestGen All-in-One 2005 Package
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ISBN-10: 0321334469  |  ISBN-13: 9780321334466
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Websites and Online Courses

MyMathLab with eBook -- Instant Access
Bittinger, Ellenbogen & Johnson
©2005  |  On-line Supplement; 720 pp  |  Access Code Required  |  Live
ISBN-10: 0321194888  |  ISBN-13: 9780321194886
 |  Students, buy access Take a Tour  |  More Info

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