[Book Cover]

Intermediate Algebra, 3/e

John Tobey, North Shore Community College
Jeffery Slater, North Shore Community College

Published December, 1997 by Prentice Hall Engineering/Science/Mathematics

Copyright 1998, 670 pp.
Paper
ISBN 0-13-850884-4


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Summary

Suitable for courses in Intermediate Algebra including lecture-based classes, discussion oriented classes, self-paced classes, mathematics labs, and computer or audio-visual supported learning centers. An easy-to-follow approach to intermediate algebra that features realistic, relevant application problems, non-routine problems drawn from everyday life, and carefully chosen examples and exercises. Includes open-ended problems that invite discussion and exploration.

Features


NEW—15% new exercises, written to ensure smooth transition from confidence-building to more rigorous within each exercise set and to ensure correct matching of even and odd-numbered exercises.
NEW—30% new applications, written to incorporate more interesting, real-world data in order to increase student interest and help students apply math learned in the classroom to the world around them.
NEW—80% new Putting Your Skills to Work applications, written to encourage students to explore mathematics in the world around them use an increased number of current, sourced data.
NEW—Internet Connections are found at the end of every Putting Your Skills to Work page. Through the Prentice Hall website (www.prenhall.com), students will link to appropriate Internet addressed where they will gather data necessary to complete the problems.
NEW—Graphing Calculator boxes have been added to the margins to enhance visualization of appropriate concepts. The use of the graphing calculator is entirely optional and intended as a gentle introduction to the capabilities and exploratory nature of this technology.
NEW—An updated 4-color design incorporates many graphs and charts to help students learn to read, analyze and interpret the types of data they see presented in many newspapers and magazines. FEATURES
A conceptual approach to functions is introduced early in the book. Students are exposed to a variety of realistic situations where functions are used to explain and record the changes we observe in the world around us.
Solving and graphing inequalities have been integrated throughout the text as appropriate.
Putting Your Skills to Work are full page applications, 80 % - 90 % of which are new.

  • Each page application includes problems for both individual and group exploration.
  • Each application includes an optional “Internet Connection” problem in which students are encouraged to link to various websites in order to get information for problem solving.
  • Cooperative Learning: These problems are included involve critical thinking skills that can be applied to answer the many open response questions found in Putting Your Skills to Work sections.
Calculator Boxes— appear in the margin, and include optional graphing calculator keystrokes and tips as appropriate.
Realistic, relevant applications appear in each chapter's Examples and Exercises. 30 % of the applications are new and incorporate more real-world data.
Developing Your Study Skills—are written to help students develop successful study habits that will benefit them in all their courses, not just in mathematics.
Examples and Exercises Have been carefully chosen to guide students through Beginning Algebra. Each example is followed by a Practice Problem.
  • Chapter Pretests: Each chapter opens with a concise pretest to familiarize the student with the learning objectives for that particular chapter.
  • Practice Problems: These are found throughout the chapter, after the examples, and are designed to provide your students with immediate practice of the skills presented.
  • To Think About: These critical thinking questions follow many of the examples in the text and also appear in the exercise sets. Designated by a special icon, they extend the concept being taught; providing the opportunity for all students to look for patterns and to make conclusions based on their previous experience.
  • Exercise Sets: 15 % brand new exercises written to create a better flow of exercises, progressing from confidence-building to more challenging. This helps to ease the students into the problems; and the answers provide students with immediate feedback.
  • Cumulative Review Problems: Each exercise set concludes with a section of Cumulative Review Problems. These problems review topics previously covered within that particular chapter, and are designed to assist students in retaining the material.
  • Technology Problems: New graphing calculator boxes and exercises have been added and incorporated. These exercises are indicated by an icon.
Chapter Organizers: The concepts and mathematical procedures covered in each chapter are reviewed at the end of the chapter in the Chapter Organizer. It not only lists concepts and methods, but provides a completely worked out example for each type of problem.
  • Review Problems: These problems are grouped by section as a quick refresher at the end of the chapter. May also be used by the student as a quiz of the chapter material.
  • Tests: Found at the end of the chapter, the Chapter Test is a representative review of the material from that particular chapter that simulates an actual test format. This provides the students with a gauge to their level preparedness for the actual examination.
  • Cumulative Tests: At the end of each chapter, beginning with chapter 2, is a Cumulative Test. One-half of the content of each Cumulative Test is based on the math skills learned in previous chapters. By completing these tests for each chapter, students build confidence that they have mastered not only the contents of the present chapter but of the previous chapters as well.
A Diagnostic Pretest covers the entire course.
John or Jeff will be glad to talk with you or any potential faculty adopters. You can reach them at the college at (508) 762-4000 ext. 5585 or on email at johntobey@aol.com or jeffslater@aol.com. Feel free to call or email them with any questions or requests for help.


Table of Contents
(Note: Each chapter begins with a Pretest and concludes with a Chapter Organizer, Review Problems, Chapter Test, and Cumulative Test.)
    Preface to the Student.
    Diagnostic Pretest.
    1. Basic Concepts.
    2. Linear Equations and Inequalities.
    3. Equations, Inequalities, and Functions.
    4. Systems of Linear Equations and Inequalities.
    5. Polynomials.
    6. Rational Algebraic Expressions and Equations.
    7. Rational Exponents and Radicals.
    8. Quadratic Equations and Inequalities.
    9. The Conic Sections.
    10. Functions.
    11. Logarithmic and Exponential Functions.
    Practice Final Examination.
    Glossary.
    Appendices.
    Solutions to Practice Problems.
    Selected Answers.
    Applications Index.
    Index.


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