Beginning Algebra, 4/e
John Tobey, North Shore Community College
Jeffrey Slater, North Shore Community College
Published August, 1997 by Prentice Hall Engineering/Science/Mathematics
Copyright 1998, 610 pp.
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Suitable for beginning algebra courses including lecture-based
classes, discussion oriented classes, self-paced classes, mathematics
labs, and computer or audio-visual supported learning centers.
This clear, accessible treatment of beginning algebra features an
enhanced problem-solving strategy highlighted by A Mathematics Blueprint
for Problem Solving that helps students determine where to begin the
problem-solving process, as well as how to plan subsequent problem-solving
steps. Also includes Step-by-Step Procedure, realistic Applications,
and Cooperative Learning Activities in Putting Your Skills to
NEW15% 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.
NEW30% 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. Pg. 228-229, 380-382
NEW80% 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. Pg. 117, 157, 383, 426 (26 total)
NEWInternet 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. Pg. 117, 157, 383, 426 (26 total)
NEWGraphing 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. Pg. 421, 439, 467, 583
NEWAn updated 4-color design that incorporates
many graphs and charts to help students learn to read, analyze and
interpret the types of data they see presented in many newspapers
A Mathematics Blueprint for Problem Solving provides
a step-by-step strategy that helps students carry out and implement
problem solving. This technique can be applied to solving single and
multi-step problems, applications, and non-routine exercises. Especially
appropriate for first time problem solving situations. Frequency lessens
with progressing chapters as student ability increases. Pg. 54-57
Calculator Boxes appear in the margin, and include
optional graphing calculator keystrokes and tips as appropriate.
Pg. 95, 205, 212, 421
A Diagnostic Pretest covers the entire course. Pg.
Provides a section on estimation (Section 0.6) and
encourages students to use estimation skills throughout the text
as a way to check word problem solutions. Pg. 49-53
The Rules of Exponents appear in Chapter 4, where
they are used with polynomials.
An entire chapter on applied problems is devoted to
developing an overall problem solving strategy using algebraic equations
and inequalities. Incorporates concepts of Geometry. Ch. 3.
Realistic, relevant applications appear in each chapter's
Examples and Exercises. 30 % of the applications are new and incorporate
more real-world data. Pg. 228-229, 380-382
Putting Your Skills to Work are full page applications,
80 % - 90 % of which are new. Pg. 117, 157, 383, 426 (26 total)
Developing Your Study Skillsare written to help
students develop successful study habits that will benefit them in
all their courses, not just in mathematics. Pg. 99, 160, 279
- 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
Examples and Exercises Have been carefully chosen
to guide students through Beginning Algebra. (Each example is
followed by a Practice Problem).
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. Pg.331, 447
- 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. Solutions to the
Practice Problems are provided in the Selected Answer section
at the end of the text.
- 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. Pg.
318, 435, 460
- Exercise Sets: 15 % brand new exercises written
to create a better flow of exercises, progressing from the easy to
the more difficult. This design 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. Pg.
- Technology Problems: Technology boxes in the margin
of text have been updated to insure relevance to the material presented.
New graphing calculator boxes and exercises have been added and incorporated.
In the exercise section a calculator icon is used to indicate problems
that are designed for solving with a calculator. Pg. 95, 297,
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 firstname.lastname@example.org or email@example.com.
Feel free to call or email them with any questions or requests for
- 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. Pg. 332,
- 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.
Pg. 335, 453
- 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. Pg.
(NOTE: Each chapter begins with a Pretest and concludes
with a Chapter Organizer, Review Problems, Chapter Test, and Cumulative
Preface to the Student.
0. A Brief Review of Arithmetic Skills.
1. Real Numbers and Variables.
2. Equations and Inequalities.
3. Solving Applied Problems.
4. Exponents and Polynomials.
6. Rational Expressions and Equations.
7. Graphing and Functions.
8. Systems of Equations.
10. Quadratic Equations.
Practice Final Examination.
Appendix A: Table of Square Roots.
Appendix B: Metric Measurement and Conversion of Units.
Appendix C: Interpreting Data from Tables, Charts, and Graphs.
Appendix D: Inductive and Deductive Reasoning.
Solutions to Practice Problems.
Index of Applications.