Pearson - Elementary Algebra, 3/E - Tom Carson & Bill E. Jordan

In this section:

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.

Features

A complete Study System guides students to success in the course.

The Learning Styles Inventory presented at the beginning of the text and in the MyMathLab^® course helps students assess their own learning styles.
Learning Strategy boxes, at point-of-use throughout the text, offer tactile, visual, and auditory learners study strategies keyed to their style.
Carson encourages students to keep a class Notebook as a personalized course-management and study tool. Strategies for taking notes and studying effectively encourage student success.

The Algebra Pyramid is used as an underlying theme throughout the text to illustrate how each topic relates to the big picture of algebra–particularly focusing on the relationship between constants, variables, expressions, and equations and inequalities. In Section, Chapter, and Cumulative Review Exercises, the Algebra Pyramid icon helps students determine what actions are appropriate (for example, whether to “simplify” or “solve”).
Chapter Openers highlight the key topics in each chapter and show how they relate to the overall structure of the course.
Connection boxes are designed to bridge the concepts presented throughout the text so students understand how they build on each other.
Real, Relevant, and Interesting Applications in the examples and exercises illustrate the everyday use of basic algebraic concepts by reflecting real situations in science, engineering, health, finance, the arts, and other areas.
Your Turn Practice Exercises (found after most examples) give students the opportunity to work problems similar to the examples they have just seen. This practice step makes the text more interactive and provides immediate feedback to help students develop confidence in their problem-solving skills.
Of Interest boxes, with historical notes and fun facts, are designed to enhance the learning process by making math concepts interesting and memorable.
Varied Exercises give students the practice they need to master skills and concepts.

Section Exercise sets are carefully graded to allow students to build confidence in their problem-solving skills as they work through the homework.
Review Exercises at the end of each exercise set cover 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.
Puzzle Problems appear at the end of selected exercise sets to encourage creative and critical thinking. These problems often have no formulaic approach to finding a solution.
Collaborative Exercises, which appear once per chapter, encourage students to work in groups to discuss mathematics and use the topics from a particular section or group of sections to solve a problem.

End-of-chapter material is designed to help students review effectively, and includes:

Defined terms referenced by section and page number.
Summary of key concepts and examples presented in an easy-to-study, two-column format.
Review exercises covering all key concepts.
Practice Tests with problems that correlate to the short-answer tests in the Printable Test Bank.
Cumulative Review exercises help students stay current with all the material they have learned and help them prepare for midterm and final exams.

NEW! The Chapter Test Prep Videos contain step-by-step video solutions to every exercise in the Practice Tests. An instructor walks students through each problem, and students can pause and rewind as needed so they can study at their own pace. Chapter Test Prep videos are available in MyMathLab, on the Video Resources on DVD, and on YouTube^™ (search using author name and book title). All videos include optional subtitles in English and Spanish.

New To This Edition

New and Updated Features

The design has been updated to enhance readability and streamline the presentation.
The exercise sets were carefully reviewed and revised throughout to improve the grading from basic to challenging, the odd-even pairing, and the correlation of exercises to examples.
Cumulative Review exercises are now available at the end of every chapter, beginning with Chapter 2, to give students more frequent opportunities to assess and reinforce their mastery of skills and concepts.

New Student and Instructor Resources

The Chapter Test Prep Videos contain step-by-step video solutions to every exercise in the Practice Tests. An instructor walks students through each problem, allowing students to pause and rewind as needed so they can study at their own pace. Chapter Test Prep Videos are available in MyMathLab, on the Video Resources on DVD, and on YouTube^™ (search using author name and book title). All videos include optional subtitles in English and Spanish.
Worksheets for Classroom or Lab Practice offer extra practice for every section of the text, with ample space for sudents to show their work. These lab-and classroom-friendly workbooks encourage students to write about key vocabulary, properties, procedures, and strategies in their own words; work stepped-out solutions in guided examples; and solve additional Practice Problems. The Worksheets can be packaged with the student text.

MyMathLab^® Enhancements for Carson

The Learning Styles Inventory is an interactive version of the questionnaire in the textbook, allowing students to assess their learning styles to take full advantage of the book’s learning features.
Increased exercise coverage gives students more practice exercises than ever before.
Premade homework assignments will be available for each section of the text. In additional to the section-level premade assignments, the Carson MyMathLab courses will also include chapter review assignments for each chapter.
The Chapter Test Prep Videos contain step-by-step video solutions to every exercise in the Practice Tests. An instructor walks students through each problem, allowing students to pause and rewind as needed so they can study at their own pace.
Translating Word Problems Animations help students practice the translation step of solving word problems.
An Interactive English/Spanish glossary offers definitions of important mathematical terms in both English and Spanish.

Content Changes

Coverage of systems has been moved up to Chapter 5, Systems of Linear Equations and Inequalities, and now follows graphing.
Expanded Exercise Sets in Sections 3.3–3.5 in Chapter 3, Problem-Solving, now include questions that focus on how to set up the problem.
Interval notation has been added to domain and range in Chapter 4 and following chapters as appropriate.
Section 5.1, Exponents and Scientific Notation, now includes a summary box with exponent rules.
New appendices on Mean, Median, and Mode help students review these concepts.

Table of Contents

Preface

To the Student

Learning Styles Inventory

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

2. Solving Linear Equations and Inequalities

2.1. Equations, Formulas, and the Problem-Solving Process

2.2. The Addition Principle of Equality

2.3. The Multiplication Principle of Equality

2.4. Applying the Principles to Formulas

2.5. Translating Word Sentences to Equations

2.6. Solving Linear Inequalities

3. Problem Solving

3.1. Ratios and Proportions

3.2. Percents

3.3. Problems with Two or More Unknowns

3.4. Rates

3.5. Investment and Mixture

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

5. Systems of Linear Equations and Inequalities

5.1. Solving Systems of Linear Equations Graphically

5.2. Solving Systems of Linear Equations by Substitution

5.3. Solving Systems of Linear Equations by Elimination

5.4. More Applications with Systems of Equations

5.5. Solving Systems of Linear Inequalities

6. Polynomials

6.1. Exponents and Scientific Notation

6.2. Introduction to Polynomials

6.3. Adding and Subtracting Polynomials

6.4. Exponent Rules and Multiplying Monomials

6.5. Multiplying Polynomials; Special Products

6.6. Exponent Rules and Dividing Polynomials

7. Factoring

7.1. Greatest Common Factor and Factoring by Grouping

7.2. Factoring Trinomials of the Form x² + bx + c

7.3. Factoring Trinomials of the Form ax² + bx + c, Where a ≠ 1

7.4. Factoring Special Products

7.5. Strategies for Factoring

7.6. Solving Quadratic Equations by Factoring

7.7. Graphs of Quadratic Equations and Functions

8. Rational Expressions and Equations

8.1. Simplifying Rational Expressions

8.2. Multiplying and Dividing Rational Expressions

8.3. Adding and Subtracting Rational Expressions with the Same Denominator

8.4. Adding and Subtracting Rational Expressions with Different Denominators

8.5. Complex Rational Expressions

8.6. Solving Equations Containing Rational Expressions

8.7. Applications with Rational Expressions, Including Variation

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, Subtracting, and Mixed Operations with Square Roots

9.5. Solving Radical Equations

9.6. Higher Roots and Rational Exponents

10. Quadratic Equations

10.1. The Square Root Principle

10.2. Solving Quadratic Equations by Completing the Square

10.3. Solving Quadratic Equations Using the Quadratic Formula

10.4. Complex Numbers

10.5. Graphing Quadratic Equations

Appendix 1 Mean, Median, and Mode

Answers

Glossary

Index

Courses

Beginning Algebra (Mathematics)

Previous Edition(s)

Elementary Algebra, 2/E
Carson & Jordan
©2007 | Pearson | Cloth; 968 pp | Out of Print
ISBN-10: 0321358376 | ISBN-13: 9780321358370
Brief 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.
More Info

In this section:

Online Preview
Author Bios

Author Bios

Tom Carson’s first teaching experience was teaching guitar while an undergraduate student studying electrical engineering. That experience helped him to realize that his true gift and passion are for teaching. He earned his MAT. in mathematics at the University of South Carolina. In addition to teaching at Midlands Technical College, Columbia State Community College, and Franklin Classical School, Tom has served on the faculty council and has been a board member of the South Carolina Association of Developmental Educators (SCADE). Ever the teacher, Tom teaches outside the classroom by presenting at conferences such as NADE, AMATYC, and ICTCM on topics such as Combating Innumeracy, Writing in Mathematics, and Implementing a Study System.

Bill Jordan received his BS from Rollins College and his MAT from Tulane University. A decorated teacher for more than 40 years, Jordan has served as the chair of the math department at Seminole Community College and has taught at Rollins College. He has been a member and leader of numerous professional organizations, including the Florida Two-Year College Mathematical Association (president), Florida Council of Teachers of Mathematics (district director), and others. In addition to his work on the Carson series, Jordan is also the lead author of _Integrated Algebra and Arithmetic, 2/e, also published by Pearson. In his spare time, he enjoys fishing, traveling, and hiking.

Websites and Online Courses

In this section:

Websites and Online Courses

MathXL -- Instant Access -- for Elementary Algebra, 3/E
Carson & Jordan
©2011 | Pearson | Website | Live
ISBN-10: 0321628136 | ISBN-13: 9780321628138
Online purchase price: $50.00More Info

MyMathLabPlus for Elementary Algebra, 3/E
Carson & Jordan
©2011 | Pearson | Website | Live
ISBN-10: 0558676995 | ISBN-13: 9780558676995
Online purchase price: $92.00More Info

In this section:

Instructor Resources

Downloadable Instructor Resources
Other Instructor Resources

Student Resources

Websites and online courses
Other student resources

eLearning & Assessment

Websites and Online Courses

Course & Discipline Resources

For Beginning Algebra
For the Mathematics Discipline

Instructor's Resource and Support Manual for Elementary Algebra, 3/E
Carson & Jordan
©2011 | Pearson | On-line Supplement; 296 pp | Live
ISBN-10: 0321628152 | ISBN-13: 9780321628152

Instructor's Solutions Manual (Download only) for Elementary Algebra, 3/E
Carson & Jordan
©2011 | Pearson | On-line Supplement; 330 pp | Live
ISBN-10: 032162811X | ISBN-13: 9780321628114

PowerPoint Slides (Download only) for Elementary Algebra, 3/E
Carson & Jordan
©2011 | Pearson | On-line Supplement | Live
ISBN-10: 0321628160 | ISBN-13: 9780321628169

Printable Test Bank (Download only) for Elementary Algebra, 3/E
Carson & Jordan
©2011 | Pearson | On-line Supplement; 300 pp | Live
ISBN-10: 0321628101 | ISBN-13: 9780321628107

TestGen® Computerized Test Bank for Elementary Algebra, 3/E
Carson & Jordan
©2011 | Pearson | On-line Supplement | Live
ISBN-10: 0321628128 | ISBN-13: 9780321628121

Websites and online courses

Annotated Instructor's Edition for Elementary Algebra, 3/E
Carson & Jordan
©2011 | Pearson | Cloth; 880 pp | Instock
ISBN-10: 0321621344 | ISBN-13: 9780321621344
More Info

MathXL -- Instant Access -- for Elementary Algebra, 3/E
Carson & Jordan
©2011 | Pearson | Website | Live
ISBN-10: 0321628136 | ISBN-13: 9780321628138
Online purchase price: $50.00More Info

MyMathLabPlus for Elementary Algebra, 3/E
Carson & Jordan
©2011 | Pearson | Website | Live
ISBN-10: 0558676995 | ISBN-13: 9780558676995
Online purchase price: $92.00More Info

MathXL -- Instant Access -- for Elementary Algebra, 3/E
Carson & Jordan
©2011 | Pearson | Website | Live
ISBN-10: 0321628136 | ISBN-13: 9780321628138
Online purchase price: $50.00More Info

MyMathLabPlus for Elementary Algebra, 3/E
Carson & Jordan
©2011 | Pearson | Website | Live
ISBN-10: 0558676995 | ISBN-13: 9780558676995
Online purchase price: $92.00More Info

Other student resources

MathXL Tutorials on CD for Elementary Algebra, 3/E
Carson & Jordan
©2011 | Pearson | CD-ROM Only | Instock
ISBN-10: 0321622804 | ISBN-13: 9780321622808
Net price: $20.00 (What's this?)More Info

Student Solutions Manual for Elementary Algebra, 3/E
Carson & Jordan
©2011 | Pearson | Paper; 384 pp | Instock
ISBN-10: 0321622812 | ISBN-13: 9780321622815
Net price: $27.50 (What's this?)More Info

Video Resources on DVD with Chapter Test Prep Videos for Elementary Algebra, 3/E
Carson & Jordan
©2011 | Pearson | DVD | Instock
ISBN-10: 0321628187 | ISBN-13: 9780321628183
Net price: $25.00 (What's this?)More Info

Worksheets for Classroom or Lab Practice for Elementary Algebra, 3/E
Carson & Jordan
©2011 | Pearson | Paper; 264 pp | Instock
ISBN-10: 0321628179 | ISBN-13: 9780321628176
Net price: $20.00 (What's this?)More Info

For Beginning Algebra

Algebra Review Study Card, 2/E
D'Ippolito & Generazzo
©2006 | Pearson | Study Card; 6 pp | Instock
ISBN-10: 0321394739 | ISBN-13: 9780321394736
Suggested retail price: $4.00Net price: $3.00 (What's this?)More Info

Graphing Calculator Reference Card, 3/E
Ripley
©2006 | Pearson | Study Card; 6 pp | Instock
ISBN-10: 0321394755 | ISBN-13: 9780321394750
Suggested retail price: $4.00Net price: $3.00 (What's this?)More Info

Mathematics Spanish Glossary, 2/E
Lara & Peeples
©2000 | Pearson | Paper; 48 pp | Instock
ISBN-10: 0201728966 | ISBN-13: 9780201728965
Suggested retail price: $12.40Net price: $9.30 (What's this?)More Info

Trigonometry, 2/E
Beecher, Penna & Bittinger
©2008 | Pearson | Paper; 272 pp | Instock
ISBN-10: 0321536304 | ISBN-13: 9780321536303
Suggested retail price: $78.40Net price: $58.80 (What's this?)More Info

For the Mathematics Discipline

Allied Health Study Card, 2/E
Forshier
©2006 | Pearson | Study Card | Instock
ISBN-10: 0321394747 | ISBN-13: 9780321394743
Net price: $3.00 (What's this?)More Info

Basic Math Review Card, 2/E
Addison-Wesley
©2006 | Pearson | Study Card; 6 pp | Instock
ISBN-10: 0321394763 | ISBN-13: 9780321394767
Net price: $3.00 (What's this?)More Info

Center for Excellence Sticker
Addison Wesley Higher Education Group
©2000 | Pearson | Unknown / Other | Instock
ISBN-10: 0201716275 | ISBN-13: 9780201716276
Suggested retail price: $0.00Net price: $0.00 (What's this?)More Info

Concept Videos: Algebra
Addison-Wesley
©2008 | Pearson | Multiple Media Package | Instock
ISBN-10: 0321517199 | ISBN-13: 9780321517197
Suggested retail price: $36.67Net price: $27.50 (What's this?)More Info

Concept Videos: Basic Math & Prealgebra
Addison-Wesley
©2008 | Pearson | Multiple Media Package | Instock
ISBN-10: 032151758X | ISBN-13: 9780321517586
Suggested retail price: $36.67Net price: $27.50 (What's this?)More Info

Discovering Algebra: Examples with Keystrokes on the TI-83/TI-82 and TI-85/TI-86, A Laboratory Approach
Pirich & Bigliani
©1997 | Pearson | Paper; 195 pp | Instock
ISBN-10: 0136492037 | ISBN-13: 9780136492030
Net price: $35.85 (What's this?)More Info

Graphing Calculator Tutorial CD
Addison-Wesley
©2006 | Pearson | CD-ROM Only | Instock
ISBN-10: 0321357744 | ISBN-13: 9780321357748
Net price: $10.00 (What's this?)More Info

Overcoming Math Anxiety, 2/E
Davidson & Levitov
©2000 | Pearson | Paper | Instock
ISBN-10: 0321069188 | ISBN-13: 9780321069184
Net price: $27.50 (What's this?)More Info

Prealgebra Review Workbook
Wheel
©2006 | Pearson | Paper; 300 pp | Instock
ISBN-10: 0321473329 | ISBN-13: 9780321473325
Net price: $27.50 (What's this?)More Info

Review of Algebra, A
Howard
©2002 | Pearson | Paper; 224 pp | Instock
ISBN-10: 0201773473 | ISBN-13: 9780201773477
Net price: $27.50 (What's this?)More Info

Spanish Basic Math Study Card
Leonarte
©2007 | Pearson | Study Card | Instock
ISBN-10: 0321438582 | ISBN-13: 9780321438584
Net price: $3.00 (What's this?)More Info

TestGen All-in-One 2005 Package
Addison-Wesley
©2005 | Pearson | CD-ROM Only | Instock
ISBN-10: 0321334469 | ISBN-13: 9780321334466
Suggested retail price: $0.00Net price: $0.00 (What's this?)More Info

Websites and Online Courses

MathXL -- Instant Access -- for Elementary Algebra, 3/E
Carson & Jordan
©2011 | Pearson | Website | Live
ISBN-10: 0321628136 | ISBN-13: 9780321628138
Online purchase price: $50.00More Info

MyMathLabPlus for Elementary Algebra, 3/E
Carson & Jordan
©2011 | Pearson | Website | Live
ISBN-10: 0558676995 | ISBN-13: 9780558676995
Online purchase price: $92.00More Info

Give your students a choice! PearsonChoices products are designed to give your students more value and flexibility by letting them choose from a variety of text and media formats to best match their learning style and their budget.

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Elementary Algebra plus MyMathLab/MyStatLab Student Access Code Card, 3/E
Carson & Jordan
©2011 | Pearson | Kit/Package/ShrinkWrap | Instock
ISBN-10: 0321624386 | ISBN-13: 9780321624383
Net price: $133.50 (What's this?)Brief Description |
This package consists of the textbook plus an access kit for MyMathLab/MyStatLab.

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.

MyMathLab provides a wide range of homework, tutorial, and assessment tools that make it easy to manage your course online.
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Elementary Algebra, A La Carte Text with MML/MSL Student Access Kit (adhoc for valuepacks), 3/E
Carson & Jordan
©2011 | Pearson | Kit/Package/ShrinkWrap | Instock
ISBN-10: 0321705912 | ISBN-13: 9780321705914
Net price: $83.10 (What's this?)Brief Description |
Books à la Carte are unbound, three-hole-punch versions of the textbook. This lower cost option is easy to transport and comes with same access code or media that would be packaged with the bound book.

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.

This Package Contains:

Elementary Algebra, 3/e, (à la Carte edition) with MyMathLab/MyStatLab Student Access Kit
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Elementary Algebra, Books a la Carte Edition, 3/E
Carson & Jordan
©2011 | Pearson | Unbound (Saleable); 832 pp | Instock
ISBN-10: 0321665635 | ISBN-13: 9780321665638
Net price: $75.60 (What's this?)Brief Description |
This edition features the exact same content as the traditional text in a convenient, three-hole- punched, loose-leaf version. Books à la Carte also offer a great value–this format costs 35% less than a new textbook.

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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Elementary Algebra, CourseSmart eTextbook, 3/E
Carson & Jordan
©2011 | Pearson | Electronic Book; 880 pp | Available
ISBN-10: 0321665643 | ISBN-13: 9780321665645
Online purchase price: $66.99
Brief Description |
CourseSmart eTextbooks are a creative digital solution that offers the freedom and convenience of online, offline, and mobile access using a single platform. With a CourseSmart eTextbook, students can:
search the text
make notes online
print out reading assignments that incorporate lecture notes
bookmark important passages for later review
save money. As an alternative to purchasing the print textbook, students can subscribe to the same content online for a significant discount off the suggested list price of the print text.
For more information, or to subscribe to the CourseSmart eTextbook, visit www.coursesmart.com (for customers in U.S. and Canada) or www.coursesmart.co.uk (for customers in Europe, Middle East, and Africa).
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