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Intermediate Algebra : Concepts and Applications

Intermediate Algebra : Concepts and Applications - 7th edition

Intermediate Algebra : Concepts and Applications - 7th edition

ISBN13: 9780321233868

ISBN10: 0321233867

Intermediate Algebra : Concepts and Applications by Marvin Bittinger and David Ellenbogen - ISBN 9780321233868
Edition: 7TH 06
Copyright: 2006
Publisher: Addison-Wesley Longman, Inc.
Published: 2006
International: No
Intermediate Algebra : Concepts and Applications by Marvin Bittinger and David Ellenbogen - ISBN 9780321233868

ISBN13: 9780321233868

ISBN10: 0321233867

Edition: 7TH 06


The goal of Intermediate 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'' intermediate 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 with 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.

Table of Contents

Table of Contents

Chapter 1 Algebra and Problem Solving

Some Basics of Algebra
Operations and Properties of Real Numbers
Solving Equations
Connecting the Concepts
Introduction to Problem Solving
Formulas, Models, and Geometry
Properties of Exponents
Scientific Notation

Chapter 2 Graphs, Functions, and Linear Equations

Linear Functions: Slope, Graphs, and Models
Another Look at Linear Graphs
Other Equations of Lines
Connecting the Concepts
The Algebra of Functions

Chapter 3 Systems of Equations and Problem Solving

Systems of Equations in Two Variables
Solving by Substitution or Elimination
Connecting the Concepts
Solving Applications: Systems of Two Equations
Systems of Equations in Three Variables
Connecting the Concepts
Solving Applications: Systems of Three Equations
Elimination Using Matrices
Determinants and Cramer's Rule
Business and Economics Applications

Chapter 4 Inequalities and Problem Solving

Inequalities and Applications
Intersections, Unions, and Compound Inequalities
Absolute-Value Equations and Inequalities
Inequalities in Two Variables
Connecting the Concepts
Applications Using Linear Programming

Chapter 5 Polynomials and Polynomial Functions

Introduction to Polynomials and Polynomial Functions
Connecting the Concepts
Multiplication of Polynomials
Common Factors and Factoring by Grouping
Connecting the Concepts
Factoring Trinomials
Factoring Perfect-Square Trinomials and Differences of Squares
Factoring Sums or Differences of Cubes
Factoring: A General Strategy
Applications of Polynomial Equations

Chapter 6 Rational Expressions, Equations, and Functions

Rational Expressions and Functions: Multiplying and Dividing
Rational Expressions and Functions: Adding and Subtracting
Complex Rational Expressions
Rational Equations
Solving Applications Using Rational Equations
Division of Polynomials
Formulas, Applications, and Variation

Chapter 7 Exponents and Radicals

Radical Expressions and Functions
Rational Numbers as Exponents
Multiplying Radical Expressions
Dividing Radical Expressions
Expressions Containing Several Radical Terms
Solving Radical Equations
Connecting the Concepts
Geometric Applications
The Complex Numbers

Chapter 8 Quadratic Functions and Equations

Quadratic Equations
The Quadratic Formula
Applications Involving Quadratic Equations
Studying Solutions of Quadratic Equations
Equations Reducible to Quadratic
Quadratic Functions and Their Graphs
Connecting the Concepts
More About Graphing Quadratic Functions
Problem Solving and Quadratic Functions
Polynomial and Rational Inequalities

Chapter 9 Exponential and Logarithmic Functions

Composite and Inverse Functions
Exponential Functions
Connecting the Concepts
Logarithmic Functions
Properties of Logarithmic Functions
Common and Natural Logarithms
Solving Exponential and Logarithmic Equations
Applications of Exponential and Logarithmic Functions

Chapter 10 Conic Sections

Conic Sections: Parabolas and Circles
Conic Sections: Ellipses
Conic Sections: Hyperbolas
Connecting the Concepts
Nonlinear Systems of Equations

Chapter 11 Sequences, Series, and the Binomial Theorem

Sequences and Series
Arithmetic Sequences and Series
Geometric Sequences and Series
The Binomial Theorem
Connecting the Concepts

Appendix: The Graphing Calculator

Index of Applications