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- ISBN: 9780321969262 | 032196926X
- Cover: Hardcover
- Copyright: 1/28/2015

**Is there anything more beautiful than an “A” in Algebra?** Not to the Lial team! Marge Lial, John Hornsby, and Terry McGinnis write their textbooks and accompanying resources with one goal in mind: giving students and teachers all the tools they need to achieve success.

With this revision of the Lial Developmental Algebra Series, the team has further refined the presentation and exercises throughout the text. They offer several exciting new resources for students and teachers that will provide extra help when needed, regardless of the learning environment (traditional, lab-based, hybrid, online)—new study skills activities in the text, an updated and expanded Lial Video Library (available in MyMathLab), and a new accompanying Lial Video Library Workbook (available in MyMathLab)*.*

**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:

0321969235 / 9780321969231 Algebra for College Students plus MyMathLab -- Access Card Package

Package consists of:

0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card

0321654064 / 9780321654069 MyMathLab Inside Star Sticker

032196926X / 9780321969262 Algebra for College Students

**Marge Lial** was always interested in math; it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, is affiliated with American River College. Marge is an avid reader and traveler. Her travel experiences often find their way into her books as applications, exercise sets, and feature sets. She is particularly interested in archeology. Trips to various digs and ruin sites have produced some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan.

When **John Hornsby** enrolled as an undergraduate at Louisiana State University, he was uncertain whether he wanted to study mathematics education or journalism. His ultimate decision was to become a teacher, but after twenty-five years of teaching at the high school and university levels and fifteen years of writing mathematics textbooks, both of his goals have been realized. His love for both teaching and for mathematics is evident in his passion for working with students and fellow teachers as well. His specific professional interests are recreational mathematics, mathematics history, and incorporating graphing calculators into the curriculum. John's personal life is busy as he devotes time to his family (wife Gwen, and sons Chris, Jack, and Josh), and has been an avid baseball fan all of his life. John's other hobbies include numismatics (the study of coins) and record collecting. He loves the music of the 1960s and has an extensive collection of the recorded works of Frankie Valli and the Four Seasons.

A native Midwesterner,** Terry McGinnis** received her Bachelor’s of Science in Elementary Education with a concentration in Mathematics from Iowa State University. She has taught elementary and middle school mathematics, and developed and implemented the curriculum used with her students. Terry has been involved in college mathematics publishing for over 20 years, working with a variety of authors on textbooks in both developmental mathematics and precalculus. After working behind the scenes on many of the Lial/Hornsby textbooks and supplements for over 10 years, Terry joined Margaret Lial and John Hornsby in 2002 as coauthor of their developmental mathematics series that includes *Introductory Algebra, Intermediate Algebra, *and *Introductory and Intermediate Algebra*. When not working, Terry enjoys spinning at a local health club, walking, and reading fiction. She is the devoted mother of two sons, Andrew and Tyler.

Preface

Study Skills: Using Your Math Textbook

**R. Review of the Real Number System**

R.1 Basic Concepts

R.2 Operations on Real Numbers

R.3 Exponents, Roots, and Order of Operations

R.4 Properties of Real Numbers

Chapter R Summary

Chapter R Test

Study Skills: Reading Your Math Textbook

**1. Linear Equations, Inequalities, and Applications**

1.1 Linear Equations in One Variable

Study Skills: Completing Your Homework

1.2 Formulas and Percent

Study Skills: Taking Lecture Notes

1.3 Applications of Linear Equations

1.4 Further Applications of Linear Equations

Summary Exercises: Applying Problem-Solving Techniques

1.5 Linear Inequalities in One Variable

Study Skills: Using Study Cards

1.6 Set Operations and Compound Inequalities

Study Skills: Using Study Cards Revisited

1.7 Absolute Value Equations and Inequalities

Summary Exercises: Solving Linear and Absolute Value Equations and Inequalities

Study Skills: Reviewing a Chapter

Chapter 1 Summary

Chapter 1 Review Exercises

Chapter 1 Mixed Review Exercises

Chapter 1 Test

**2. Linear Equations, Graphs, and Functions**

2.1 Linear Equations in Two Variables

Study Skills: Managing Your Time

2.2 The Slope of a Line

2.3 Writing Equations of Lines

Study Skills: Taking Math Tests

Summary Exercises: Finding Slopes and Equations of Lines

2.4 Linear Inequalities in Two Variables

2.5 Introduction to Relations and Functions

Study Skills: Analyzing Your Test Results

2.6 Function Notation and Linear Functions

Chapter 2 Summary

Chapter 2 Review Exercises

Chapter 2 Mixed Review Exercises

Chapter 2 Test

**3. Systems of Linear Equations**

3.1 Systems of Linear Equations in Two Variables

Study Skills: Preparing for Your Math Final Exam

3.2 Systems of Linear Equations in Three Variables

3.3 Applications of Systems of Linear Equations

Chapter 3 Summary

Chapter 3 Review Exercises

Chapter 3 Mixed Review Exercises

Chapter 3 Test

Chapters R—3 Cumulative Review Exercises

**4. Exponents, Polynomials, and Polynomial Functions**

4.1 Integer Exponents and Scientific Notation

4.2 Adding and Subtracting Polynomials

4.3 Polynomial Functions, Graphs, and Composition

4.4 Multiplying Polynomials

4.5 Dividing Polynomials

Chapter 4 Summary

Chapter 4 Review Exercises

Chapter 4 Mixed Review Exercises

Chapter 4 Test

Chapters R—4 Cumulative Review Exercises

**5. Factoring**

5.1 Greatest Common Factors and Factoring by Grouping

5.2 Factoring Trinomials

5.3 Special Factoring

5.4 A General Approach to Factoring

5.5 Solving Equations by the Zero-Factor Property

Chapter 5 Summary

Chapter 5 Review Exercises

Chapter 5 Mixed Review Exercises

Chapter 5 Test

Chapters R—5 Cumulative Review Exercises

**6. Rational Expressions and Functions**

6.1 Rational Expressions and Functions; Multiplying and Dividing

6.2 Adding and Subtracting Rational Expressions

6.3 Complex Fractions

6.4 Equations with Rational Expressions and Graphs

Summary Exercises: Simplifying Rational Expressions vs. Solving Rational Equations

6.5 Applications of Rational Expressions

6.6 Variation

Chapter 6 Summary

Chapter 6 Review Exercises

Chapter 6 Mixed Review Exercises

Chapter 6 Test

Chapters R—6 Cumulative Review Exercises

**7. Roots, Radicals, and Root Functions**

7.1 Radical Expressions and Graphs

7.2 Rational Exponents

7.3 Simplifying Radicals, the Distance Formula, and Circles

7.4 Adding and Subtracting Radical Expressions

7.5 Multiplying and Dividing Radical Expressions

Summary Exercises: Performing Operations with Radicals and Rational Exponents

7.6 Solving Equations with Radicals

7.7 Complex Numbers

Chapter 7 Summary

Chapter 7 Review Exercises

Chapter 7 Mixed Review Exercises

Chapter 7 Test

Chapters R—7 Cumulative Review Exercises

**8. Quadratic Equations and Inequalities**

8.1 The Square Root Property and Completing the Square

8.2 The Quadratic Formula

8.3 Equations Quadratic in Form

Summary Exercises: Applying Methods for Solving Quadratic Equations

8.4 Formulas and Further Applications

8.5 Polynomial and Rational Inequalities

Chapter 8 Summary

Chapter 8 Review Exercises

Chapter 8 Mixed Review Exercises

Chapter 8 Test

Chapters R—8 Cumulative Review Exercises

**9. Additional Graphs of Functions and Relations**

9.1 Review of Operations and Composition

9.2 Graphs of Quadratic Functions

9.3 More About Parabolas and Their Applications

9.4 Symmetry; Increasing and Decreasing Functions

9.5 Piecewise Linear Functions

Chapter 9 Summary

Chapter 9 Review Exercises

Chapter 9 Mixed Review Exercises

Chapter 9 Test

Chapters R—9 Cumulative Review Exercises

**10. Inverse, Exponential, and Logarithmic Functions**

10.1 Inverse Functions

10.2 Exponential Functions

10.3 Logarithmic Functions

10.4 Properties of Logarithms

10.5 Common and Natural Logarithms

10.6 Exponential and Logarithmic Equations; Further Applications

Chapter 10 Summary

Chapter 10 Review Exercises

Chapter 10 Mixed Review Exercises

Chapter 10 Test

Chapters R—10 Cumulative Review Exercises

**11. Polynomial and Rational Functions**

11.1 Zeros of Polynomial Functions (I)

11.2 Zeros of Polynomial Functions (II)

11.3 Graphs and Applications of Polynomial Functions

Summary Exercises: Examining Polynomial Functions and Graphs

11.4 Graphs and Applications of Rational Functions

Chapter 11 Summary

Chapter 11 Review Exercises

Chapter 11 Mixed Review Exercises

Chapter 11 Test

Chapters R—11 Cumulative Review Exercises

**12. Conic Sections and Nonlinear Systems**

12.1 Circles Revisited and Ellipses

12.2 Hyperbolas and Functions Defined by Radicals

12.3 Nonlinear Systems of Equations

12.4 Second-Degree Inequalities, Systems of Inequalities, and Linear Programming

Chapter 12 Summary

Chapter 12 Review Exercises

Chapter 12 Mixed Review Exercises

Chapter 12 Test

Chapters R—12 Cumulative Review Exercises

**13. Further Topics in Algebra**

13.1 Sequences and Series

13.2 Arithmetic Sequences

13.3 Geometric Sequences

13.4 The Binomial Theorem

13.5 Mathematical Induction

13.6 Counting Theory

13.7 Basics of Probability

Chapter 13 Summary

Chapter 13 Review Exercises

Chapter 13 Mixed Review Exercises

Chapter 13 Test

Chapters R—13 Cumulative Review Exercises

**Appendix A: Solving Systems of Linear Equations by Matrix Methods**

**Appendix B: Determinants and Cramer’s Rule**

**Appendix C: Properties of Matrices**

**Appendix D: Matrix Inverses**

Photo Credits

Answers to Selected Exercises

Index