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Elementary Algebra, 4th edition

Published by Pearson (January 14, 2014) © 2015

  • Tom Carson
  • Bill E. Jordan Seminole State College of Florida
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What’s Your Style?

The Carson Algebra Series guides students to success by presenting the why behind understanding algebra, and includes the complete Carson Math Study System with a Learning Styles Inventory to address individual learning styles. The Carson Math Study System adapts to the way each student learns, and targeted learning strategies are presented throughout the program. The authors speak to students in everyday language and walk them through the concepts, explaining not only how to do the math, but also where the concepts come from and why they work to foster conceptual understanding.

Teaching and Learning Experience

This program will provide a better teaching and learning experience for you and your students. Here’s how:

  • Improve Results: MyMathLab delivers proven results in helping students succeed and provides engaging experiences with personalized learning. The new edition supports students with MyWorkBook and MyMathLab course revisions that bring it all together!
  • Support all learning styles and promote good study skills: the completeCarson Math Study System with Learning Styles Inventory guides students to success in the course.
  • Rely on a proven pedagogy that explains the why behind algebra: in everyday language the program walks students through the concepts, explaining not only how to do the math, but also where the concepts come from and why they work.

 

Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. If you would like to purchase both the physical text and MyMathLab, search for:

0321951867 / 9780321951861 Elementary Algebra, Plus NEW MyMathLab with Pearson eText -- Access Card Package

Package consists of:

0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card

0321654064 / 9780321654069 MyMathLab Inside Star Sticker

032191600X / 9780321916006 Elementary Algebra

Preface

To the Student

Learning Styles Inventory

The Carson Math Study System

 

 

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

            Summary and Review Exercises

            Practice Test

 

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 Ratios and Proportions

2.7 Percents

2.8 Solving Linear Inequalities

            Summary and Review Exercises

            Practice Test

            Chapters 1–2 Cumulative Review Exercises

 

3. Graphing Linear Equations and Inequalities

3.1 The Rectangular Coordinate System

3.2 Graphing Linear Equations

3.3 Graphing Using Intercepts

3.4 Slope–Intercept Form

3.5 Point–Slope Form

3.6 Graphing Linear Inequalities

3.7 Introduction to Functions and Function Notation

            Summary and Review Exercises

            Practice Test

            Chapters 1–3 Cumulative Review Exercises

 

4. Systems of Linear Equations and Inequalities

4.1 Solving Systems of Linear Equations Graphically

4.2 Solving Systems of Linear Equations by Substitution; Applications

4.3 Solving Systems of Linear Equations by Elimination; Applications

4.4 More Applications with Systems of Equations

4.5 Solving Systems of Linear Inequalities

            Summary and Review Exercises

            Practice Test

            Chapters 1–4 Cumulative Review Exercises

 

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

            Summary and Review Exercises

            Practice Test

            Chapters 1–5 Cumulative Review Exercises

 

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

            Summary and Review Exercises

            Practice Test

            Chapters 1–6 Cumulative Review Exercises

 

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, Including Variation

            Summary and Review Exercises

            Practice Test

            Chapters 1–7 Cumulative Review Exercises

 

8. Roots and Radicals

8.1 Square Roots and Radical Expressions

8.2 Multiplying and Simplifying Square Roots

8.3 Dividing and Simplifying Square Roots

8.4 Addition, Subtraction, and Mixed Operations with Square Roots

8.5 Solving Radical Equations

8.6 Higher Roots and Rational Exponents

            Summary and Review Exercises

            Practice Test

            Chapters 1–8 Cumulative Review Exercises

 

9. Quadratic Equations

9.1 The Square Root Principle

9.2 Solving Quadratic Equations by Completing the Square

9.3 Solving Quadratic Equations Using the Quadratic Formula

9.4 Complex Numbers

9.5 Graphing Quadratic Equations

            Summary and Review Exercises

            Practice Test

            Chapters 1–9 Cumulative Review Exercises

 

Appendix: Mean, Median, and Mode

Photo Credits

Collaborative Exercises

Answers

Glossary

Index of Applications

Index

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