Pearson - Elementary Algebra, 2/E - Tom Carson & Bill E. Jordan

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Elementary Algebra, 2/E
Tom Carson
Bill E. Jordan, Seminole State College of Florida

ISBN-10: 0321358376
ISBN-13: 9780321358370

Publisher: Pearson
Copyright: 2007
Format: Cloth; 968 pp
Published: 01/05/2006

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Description

This student-focused text addresses individual learning styles through the use of a complete study system that starts with a learning styles inventory and presents targeted learning strategies designed to guide students toward success in this and future college-level courses.

Students who approach math with trepidation will find that Elementary Algebra, Second Edition, builds competence and confidence. The study system, introduced at the outset and used consistently throughout the text, transforms the student experience by applying time-tested strategies to the study of mathematics. Learning strategies dovetail nicely into the overall system and build on individual learning styles by addressing students’ unique strengths. The authors talk to students in their own language and walk them through the concepts, showing students both how to do the math and the reasoning behind it. Tying it all together, the use of the Algebra Pyramid as an overarching theme relates specific chapter topics to the ‘big picture’ of algebra.

Features

Study System A study system presented in the To The Student section in the front of the text is reinforced as students progress through the book through the use of color-coding for taking notes and learning strategy boxes. The color codes are consistent in the text itself: red for definitions; blue for procedures, rules, and things to remember; and black for notes and examples.

Learning Styles A Learning Styles Inventory is presented at the very beginning of the text to help students assess their particular style of learning. Throughout the text, students will see Learning Strategy boxes that serve as reminders that tactile, visual, and auditory learners all learn and retain material in different ways, so they should make every effort to utilize a variety of methods until they grasp the concept at hand.

Learning Strategies Learning Strategy boxes appear where appropriate in the text to offer advice on how to effectively use the study system and how to study specific topics based on the student's individual learning style.

Algebra Pyramid An Algebra Pyramid is used throughout the text to illustrate how the topic students are working on fits within the big picture of algebra—particularly focusing on how constants and variables relate to expressions and equations. Highlighting the Algebra Pyramid more than once helps students remember this overarching concept as they progress through the course.

Chapter Openers Like the Algebra Pyramid, the openers are designed to help students see how the topics in the upcoming chapter relate to the big picture of the entire course. The chapter openers highlight the importance of the topics in the chapter and how they fit into the overall structure of the course.

Connections Connection boxes are designed to bridge concepts and ideas that students have learned elsewhere in the text so they see how the concepts are interrelated and build on each other.

Your Turn Practice Exercises Your Turn practice exercises, found immediately after most examples, give students a learning environment that prepares them for the exercise sets that lie ahead. Your Turn answers are provided on the same page so students can assess their progress immediately.

Annotated Instructor's Edition The Annotated Instructor's Edition provides an abundance of helpful information for instructors in the form of just-in-time teaching tips and answers to exercises directly below the corresponding exercise. Challenge exercises are indicated only in the AIE so instructors can assign homework accordingly without causing anxiety for the students.

Problem-Solving Outline A five-step problem-solving outline is introduced near the beginning of the text. The steps are Understand, Plan, Execute, Answer, and Check. Every application example throughout the rest of the text follows the steps given in this outline in order to clearly model the problem-solving process.

Warning Boxes Warning boxes alert students to common mistakes and false assumptions they often make and explain why these are incorrect.

Of Interest Of Interest boxes are positioned throughout the text to offer a unique flavor to content that some students might otherwise consider to be ho-hum mathematics. Sometimes containing trivia, and other times historical notes, Of Interest boxes are designed to enhance the learning process by making concepts fun and interesting.

Puzzle Problems These mathematical brainteasers appear at the end of selected exercise sets to encourage creative and critical thinking. These problems often have no formulaic approach to their solution.

Collaborative Exercises One collaborative exercise appears per chapter. These exercises encourage students to work in groups and use the topics in a particular section or sections to solve a problem. These exercises are designed to encourage classroom discussion and collaboration.

Calculator Tips The relevant functions of calculators (scientific or graphing, depending on the topic) are explained and illustrated throughout the text in optional Calculator Tips. In addition, an occasional calculator icon in the exercise sets indicates that the problem may be better solved using a calculator, though a calculator is not required.

Review Exercises Since continuous review is important in any mathematics course, this text includes review exercises at the end of each exercise set. These exercises review previously learned concepts not only to keep the material fresh for students, but also to serve as a foundational review for the discussion in the next section.

End-of-chapter Material An extremely thorough summary at the end of each chapter provides: defined key terms referenced by section and page number, a two-column summary of key examples, review exercises of varying types, and a practice test. With the exception of Chapter 1, all chapters end with a Cumulative Review.

New To This Edition

• Revised and Added More Exercise Sets!

The section-level exercise sets have been scrutinized and reworked to incorporate more midlevel problems, an improved pairing between odd and even exercises, and a better gradation of exercises that slowly progress from easy to more difficult.

• Learning Strategy Boxes Increased!

These have been improved and increased in number to provide students with even more guidance with an emphasis on individual learning styles.

• Algebra Pyramid Strengthened!

Small versions of the Algebra Pyramid have been added to the Chapter Review and Cumulative Review Exercises to help students distinguish between expression and equality/inequality exercises.

• MML/MXL Coverage Increased!

The number of exercises included in MyMathLab and MathXL has been increased dramatically for an even stronger correlation between the book and the technology that supports it.

Table of Contents

Preface

To the Student

Learning Styles Inventory

Chapter 1 Foundations of Algebra

1.1 Number Sets and the Structure of Algebra

1.2 Fractions

1.3 Adding and Subtracting Real Numbers; Properties of Real Numbers

1.4 Multiplying and Dividing Real Numbers; Properties of Real Numbers

1.5 Exponents, Roots, and Order of Operations

1.6 Translating Word Phrases to Expressions

1.7 Evaluating and Rewriting Expressions

Chapter 2 Solving Linear Equations and

Inequalities

2.1 Equations, Formulas, and the Problem-

Solving Process

2.2 The Addition Principle

2.3 The Multiplication Principle

2.4 Applying the Principles to Formulas

2.5 Translating Word Sentences to Equations

2.6 Solving Linear Inequalities

Chapter 3 Problem Solving

3.1 Ratios and Proportions

3.2 Percents

3.3 Problems with Two or More Unknowns

3.4 Rates

3.5 Interest and Mixture

Chapter 4 Graphing Linear Equations and

Inequalities

4.1 The Rectangular Coordinate System

4.2 Graphing Linear Equations

4.3 Graphing Using Intercepts

4.4 Slope-Intercept Form

4.5 Point-Slope Form

4.6 Graphing Linear Inequalities

4.7 Introduction to Functions and Function

Notation

Chapter 5 Polynomials

5.1 Exponents and Scientific Notation

5.2 Introduction to Polynomials

5.3 Adding and Subtracting Polynomials

5.4 Exponent Rules and Multiplying

Monomials

5.5 Multiplying Polynomials; Special Products

5.6 Exponent Rules and Dividing Polynomials

Chapter 6 Factoring

6.1 Greatest Common Factor and Factoring by

Grouping

6.2 Factoring Trinomials of the Form

x² + bx + c

6.3 Factoring Trinomials of the Form

ax² + bx + c, where a ≠ 1

6.4 Factoring Special Products

6.5 Strategies for Factoring

6.6 Solving Quadratic Equations by Factoring

6.7 Graphs of Quadratic Equations and

Functions

Chapter 7 Rational Expressions and

Equations

7.1 Simplifying Rational Expressions

7.2 Multiplying and Dividing Rational

Expressions

7.3 Adding and Subtracting Rational

Expressions with the Same Denominator

7.4 Adding and Subtracting Rational

Expressions with Different Denominators

7.5 Complex Rational Expressions

7.6 Solving Equations Containing Rational

Expressions

7.7 Applications with Rational Expressions

Chapter 8 Systems of Equations

8.1 Solving Systems of Linear Equations

Graphically

8.2 Solving Systems of Linear Equations by

Substitution

8.3 Solving Systems of Linear Equations by

Elimination

8.4 More Applications with Systems of

Equations

8.5 Solving Systems of Linear Inequalities

Chapter 9 Roots and Radicals

9.1 Square Roots and Radical Expressions

9.2 Multiplying and Simplifying Square Roots

9.3 Dividing and Simplifying Square Roots

9.4 Adding and Subtracting Square Roots

9.5 Solving Radical Equations

9.6 Higher Roots and Rational Exponents

Courses

Beginning Algebra (Mathematics)

Next Edition(s)

Elementary Algebra, 3/E
Carson & Jordan
©2011 | Pearson | Cloth; 832 pp | Instock
ISBN-10: 0321577299 | ISBN-13: 9780321577290
Net price: $126.00 (What's this?)Brief Description |
The Carson algebra series addresses two fundamental issues–individual learning styles and student comprehension of key mathematical concepts–to meet the needs of today’s students and instructors. Carson’s Study System, presented in the To the Student section at the front of the text, adapts to the way each student learns to ensure their success in this and future courses. The consistent emphasis on the big picture of algebra, with pedagogy and support that helps students put each new concept into proper context, encourages conceptual understanding.
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Instructor's Solutions Manual for Elementary Algebra, 2/E
Carson, Gillespie & Jordan
©2007 | Pearson | Paper; 300 pp | Out of Stock
ISBN-10: 0321375297 | ISBN-13: 9780321375292

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Powerpoint, 2/E
Carson, Gillespie & Jordan
©2007 | Pearson | Electronic Supplement | Available
ISBN-10: 032142445X | ISBN-13: 9780321424457

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TestGen® Computerized Test Bank for Elementary Algebra, 2/E
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©2007 | Pearson | On-line Supplement | Live
ISBN-10: 0321375343 | ISBN-13: 9780321375346

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MathXL -- Instant Access -- for Elementary Algebra, 2/E
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Elementary Algebra, 2/E