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# Intermediate Algebra, Books A La Carte Edition

## byMichael Sullivan, Katherine R. Struve

### Loose Leaf | January 1, 2017

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NOTE: This edition features the same content as the traditional text in a convenient, three-hole-punched, loose-leaf version. Books a la Carte also offer a great value; this format costs significantly less than a new textbook. Before purchasing, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. For Books a la Carte editions that include MyLab™ or Mastering™, several versions may exist for each title – including customized versions for individual schools – and registrations are not transferable. In addition, you may need a Course ID, provided by your instructor, to register for and use MyLab or Mastering products.

*For courses in Elementary and Intermediate Algebra*

**Helping Readers Innovatively "Do the Math"**

** The Sullivan Elementary & Intermediate Developmental Math Series **

**, 4**

^{th}**Edition**introduces readers to the logic, precision and rigor of mathematics, while building a foundation for future success.

Known for their hallmark examples that provide extra step-by-step support, the authors have continued their successful text pedagogy and have focused in the revision to translating it to the MyLab™ Math course for a truly dynamic learning and teaching experience. Key revisions to the MyLab Math course include guided “How To” exercises, modeled on the successful Show Case examples and new GeoGebra applet exercises.

The Sullivan team has revised their MyLab Math course to ensure that readers are getting the most of the resources they have at their disposal. For example, they offer an enhanced e-text that allows readers to easily and quickly refer back to a specific page for examples. To encourage readers, the author team developed a MyLab Math that helps them develop good study skills, garner an understanding of the connections between topics, and work smarter in the process.

**Also available with MyLab Math**

MyLab™ Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts.

NOTE**:** You are purchasing a standalone product; MyLab Math does not come packaged with this content. If you would like to purchase both the physical text and MyLab Math, search for:

0134622707 / 9780134622705 Intermediate Algebra, Books a la Carte Edition Plus MyLab Math -- Access Card Package, 4/e

Package consists of:

- 0134556631 / 9780134556635 Intermediate Algebra, Books a la Carte Edition
- 0321262522 / 9780321262523 MyLab Math - Valuepack Access Card

### Details & Specs

The following ISBNs are associated with this title:

ISBN - 10:0134556631

ISBN - 13:9780134556635

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### Extra Content

Table of Contents

**Preface**

**R. Review**

R.1. Success in Mathematics

R.2. Sets and Classification of Numbers

R.3. Operations on Signed Numbers; Properties of Real Numbers

R.4. Order of Operations

R.5. Algebraic Expressions

**1. Linear Equations and Inequalities**

Part I. Linear Equations and Inequalities in One Variable

1.1. Linear Equations in One Variable

1.2. An Introduction to Problem Solving

1.3. Using Formulas to Solve Problems

1.4. Linear Inequalities in One Variable

Putting the Concepts Together (Sections 1.1–1.4)

Part II. Linear Equations and Inequalities in Two Variables

1.5. Rectangular Coordinates and Graphs of Equations

1.6. Linear Equations in Two Variables

1.7. Parallel and Perpendicular Lines

1.8. Linear Inequalities in Two Variables

Chapter 1 Activity: Pass the Paper

Chapter 1 Review

Chapter 1 Test

Cumulative Review Chapters R–1

**2. Relations, Functions, and More Inequalities**

2.1. Relations

2.2. An Introduction to Functions

2.3. Functions and Their Graphs

Putting the Concepts Together (Sections 2.1–2.3)

2.4. Linear Functions and Models

2.5. Compound Inequalities

2.6. Absolute Value Equations and Inequalities

Chapter 2 Activity: Shifting Discovery

Chapter 2 Review

Chapter 2 Test

**3. Systems of Linear Equations and Inequalities**

3.1. Systems of Linear Equations in Two Variables

3.2. Problem Solving: Systems of Two Linear Equations Containing Two Unknowns

3.3. Systems of Linear Equations in Three Variables

Putting the Concepts Together (Sections 3.1–3.3)

3.4. Using Matrices to Solve Systems

3.5. Determinants and Cramer’s Rule

3.6. Systems of Linear Inequalities

Chapter 3 Activity: Find the Numbers

Chapter 3 Review

Chapter 3 Test

Cumulative Review Chapters R–3

Getting Ready for Chapter 4: Laws of Exponents and Scientific Notation

**4. Polynomials and Polynomial Functions**

4.1. Adding and Subtracting Polynomials

4.2. Multiplying Polynomials

4.3. Dividing Polynomials; Synthetic Division

Putting the Concepts Together (Sections 4.1–4.3)

4.4. Greatest Common Factor; Factoring by Grouping

4.5. Factoring Trinomials

4.6. Factoring Special Products

4.7. Factoring: A General Strategy

4.8. Polynomial Equations

Chapter 4 Activity: What Is the Question?

Chapter 4 Review

Chapter 4 Test

Getting Ready for Chapter 5: A Review of Operations on Rational Numbers

**5. Rational Expressions and Rational Functions**

5.1. Multiplying and Dividing Rational Expressions

5.2. Adding and Subtracting Rational Expressions

5.3. Complex Rational Expressions

Putting the Concepts Together (Sections 5.1–5.3)

5.4. Rational Equations

5.5. Rational Inequalities

5.6. Models Involving Rational Expressions

5.7. Variation

Chapter 5 Activity: Correct the Quiz

Chapter 5 Review

Chapter 5 Test

Cumulative Review Chapters R–5

Getting Ready for Chapter 6: Square Roots

**6. Radicals and Rational Exponents**

6.1. nth Roots and Rational Exponents

6.2. Simplifying Expressions Using the Laws of Exponents

6.3. Simplifying Radical Expressions Using Properties of Radicals

6.4. Adding, Subtracting, and Multiplying Radical Expressions

6.5. Rationalizing Radical Expressions

Putting the Concepts Together (Sections 6.1–6.5)

6.6. Functions Involving Radicals

6.7. Radical Equations and Their Applications

6.8. The Complex Number System

Chapter 6 Activity: Which One Does Not Belong?

Chapter 6 Review

Chapter 6 Test

**7. Quadratic Equations and Functions**

7.1. Solving Quadratic Equations by Completing the Square

7.2. Solving Quadratic Equations by the Quadratic Formula

7.3. Solving Equations Quadratic in Form

Putting the Concepts Together (Sections 7.1–7.3)

7.4. Graphing Quadratic Functions Using Transformations

7.5. Graphing Quadratic Functions Using Properties

7.6. Polynomial Inequalities

Chapter 7 Activity: Presidential Decision Making

Chapter 7 Review

Chapter 7 Test

Cumulative Review Chapters R–7

**8. Exponential and Logarithmic Functions**

8.1. Composite Functions and Inverse Functions

8.2. Exponential Functions

8.3. Logarithmic Functions

Putting the Concepts Together (Sections 8.1–8.3)

8.4. Properties of Logarithms

8.5. Exponential and Logarithmic Equations

Chapter 8 Activity: Correct the Quiz

Chapter 8 Review

Chapter 8 Test

**9. Conics**

9.1. Distance and Midpoint Formulas

9.2. Circles

9.3. Parabolas

9.4. Ellipses

9.5. Hyperbolas

Putting the Concepts Together (Sections 9.1–9.5)

9.6. Systems of Nonlinear Equations

Chapter 9 Activity: How Do You Know That . . . ?

Chapter 9 Review

Chapter 9 Test

Cumulative Review: Chapters R–9

**10. Sequences, Series, and the Binomial Theorem**

10.1. Sequences

10.2. Arithmetic Sequences

10.3. Geometric Sequences and Series

Putting the Concepts Together (Sections 10.1–10.3)

10.4. The Binomial Theorem

Chapter 10 Activity: Discover the Relation

Chapter 10 Review

Chapter 10 Test

**Answers to Selected Exercises**

**Applications Index**

**Subject Index**

**Photo Credits**