Addison-Wesley / Prentice Hall

Mathematics



Elementary Algebra: Concepts and Applications, 7/E
Marvin L. Bittinger, Indiana University Purdue University Indianapolis
David J. Ellenbogen, Community College of Vermont

ISBN-10: 0321233883
ISBN-13: 9780321233882

Publisher: Addison-Wesley
Copyright: 2006
Format: Cloth; 688 pp
Published: 01/06/2005

Suggested retail price: $138.67
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The goal of Elementary Algebra: Concepts and Applications, 7e is to help today’s students learn and retain mathematical concepts by preparing them for the transition from “skills-oriented” elementary algebra courses to more “concept-oriented” college-level mathematics courses, as well as to make the transition from “skill” to “application.” This edition continues to bring your students a best-selling text that incorporates the five-step problem-solving process, real-world applications, proven pedagogy, and an accessible writing style. The Bittinger/Ellenbogen series has consistently provided teachers and students with the tools needed to succeed in developmental mathematics. This edition has an even stronger focus on vocabulary and conceptual understanding as well as making the mathematics more accessible to students. Among the features added are new Concept Reinforcement exercises, Student Notes that help students avoid common mistakes, and Study Summaries that highlight the most important concepts and terminology from each chapter.

  • Connecting the Concepts feature highlights the importance of connecting concepts and invites students to pause and check that they understand the “big picture.” This helps ensure that students understand how concepts work together in several sections at once. For example, students are alerted to shifts made from solving equations to writing equivalent expressions. The pacing of this feature helps students increase their comprehension and maximize their retention of key concepts.
  • Chapter Openers Each chapter opens with a list of the sections to be covered and a real-life application that includes a testimonial from a person in that field to show how integral mathematics is in solving real problems. Real data is often used in these applications as well as in many other exercises and “on the job” examples (like those that students might find in the workforce) to increase student interest.
  • Aha! In many exercise sets, students will see an Aha! icon. This icon indicates to students that there is a simpler way to complete the exercise without going through a lengthy computation. It's then up to the student to discover that simpler approach. The Aha! icon is used the first time a new insight can be used on a particular type of exercise. After that first time, it's up to the student to determine if and when that particular insight can be reused.
  • Optional Collaborative Corners give students the opportunity to work as a group to solve problems or to perform specially designed activities. There are approximately two Collaborative Corners per chapter, each one appearing after the appropriate exercise set.
  • Optional Technology Connections appear throughout each chapter to help students visualize, through the use of technology, a concept that they have just learned. This feature is reinforced in many exercise sets through exercises marked with a graphing calculator icon.
  • 5-Step Problem-Solving Process A hallmark feature to all Bittinger Texts, the 5-step problem-solving process  is introduced early in the text and then modeled in every application problem throughout the rest of the text, providing students wtih a foundation for starting and completing the problem-solving process.
  • Study Skills These remarks, located in the margins near the start of each section, provide suggestions for successful study habits and can be extended to courses other than algebra.   Ranging from ideas for better time management to how to prepare for tests, these comments can be useful to even experience college students.

  • Concept Reinforcement Exercises This feature is designed to help students build their confidence and comprehension through True/False, matching, and fill-in-the-blank exercises at the start of each exercise set. When appropriate, special attention is devoted to increasing student understanding of the new vocabulary and notation developed in that section.
  • Student Notes These comments, strategically located in the margins within each section, are specific to the mathematics appearing on that page. Remarks are more casual in format than the typical exposition and range from suggestions on how to avoid common mistakes to how to best read new notation.
  • Study Summary Each chapter closes with a Study Summary in which the authors highlight the most important concepts and terminology from that chapter for easy reference when test time comes around.

 

Note: Each chapter ends with a Study Summary, Review Exercises, and a Chapter Test. A Cumulative Review is provided after Chapters 3, 6,  and 9.

 

CHAPTER 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

Connecting the Concepts 

CHAPTER 2: Equations, Inequalities, and Problem Solving

Solving Equations

Using the Principles Together

Connecting the Concepts 

Formulas

Applications with Percent

Problem Solving

Solving Inequalities

Solving Applications with Inequalities

CHAPTER 3: Introduction to Graphing

Reading Graphs, Plotting Points, and Scaling Graphs

Graphing Linear Equations

Graphing and Intercepts

Rates

Slope

Slope–Intercept Form

Connecting the Concepts 

Point–Slope Form

CHAPTER 4: Polynomials

Exponents and Their Properties

Polynomials

Addition and Subtraction of Polynomials

Connecting the Concepts 

Multiplication of Polynomials

Special Products

Polynomials in Several Variables

Division of Polynomials

Negative Exponents and Scientific Notation

CHAPTER 5: Polynomials and Factoring

Introduction to Factoring

Factoring Trinomials of the Type x2 + bx + c

Factoring Trinomials of the Type ax2 + bx + c

Factoring Perfect-Square Trinomials and Differences of Squares

Factoring: A General Strategy

Connecting the Concepts 

Solving Quadratic Equations by Factoring

Connecting the Concepts 

Solving Applications

CHAPTER 6: 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

Connecting the Concepts 

Applications Using Rational Equations and Proportions

CHAPTER 7: Systems and More Graphing

Systems of Equations and Graphing

Systems of Equations and Substitution

Systems of Equations and Elimination

More Applications Using Systems

Connecting the Concepts 

Linear Inequalities in Two Variables

Systems of Linear Inequalities

Direct and Inverse Variation

CHAPTER 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

Connecting the Concepts 

Applications Using Right Triangles

Higher Roots and Rational Exponents

CHAPTER 9: Quadratic Equations

Solving Quadratic Equations: The Principle of Square Roots

Solving Quadratic Equations: Completing the Square

The Quadratic Formula and Applications

Connecting the Concepts 

Formulas and Equations

Connecting the Concepts 

Complex Numbers as Solutions of Quadratic Equations

Graphs of Quadratic Equations

Functions

Appendix A:  Factoring Sums of Differences of Cubes 

Appendix B:  Mean, Median, and Mode

Appendix C:  Sets

Table 1:         Fraction and Decimal Equivalents

Table 2:          Squares and Square Roots with Approximation to Three Decimal Places

Table 3:         Geometric Formulas

Answers

Glossary

Index

Index of Applications

 

For Beginning Algebra


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Pearson Higher Education offers special pricing when you choose to package your text with other student resources. If you're interested in creating a cost-saving package for your students, contact your Pearson Higher Education representative for pricing and ordering information.

This title is a member of the Bittinger Developmental Mathematics Concepts and Applications Series, which also contains the titles below . You can also visit the Bittinger Developmental Mathematics Concepts and Applications Series page.

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Pearson Higher Education offers special pricing when you choose to package your text with other student resources. If you're interested in creating a cost-saving package for your students, browse our available packages below, or contact your Pearson Higher Education representative to create your own package.