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- ISBN: 9780321969163 | 0321969162
- Cover: Hardcover
- Copyright: 1/21/2015

**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, and more.

**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:

0321969251 / 9780321969255 Beginning and Intermediate Algebra plus MyMathLab -- Access Card Package

Package consists of:

0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card

0321654064 / 9780321654069 MyMathLab Inside Star Sticker

0321969162 / 9780321969163 Beginning and Intermediate Algebra

**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. Prealgebra Review**

R.1 Fractions

R.2 Decimals and Percents

Study Skills: Reading Your Math Textbook

**1. The Real Number System**

1.1 Exponents, Order of Operations, and Inequality

Study Skills: Taking Lecture Notes

1.2 Variables, Expressions, and Equations

1.3 Real Numbers and the Number Line

Study Skills: Completing Your Homework

1.4 Adding and Subtracting Real Numbers

Study Skills: Using Study Cards

1.5 Multiplying and Dividing Real Numbers

Summary Exercises: Performing Operations with Real Numbers

1.6 Properties of Real Numbers

1.7 Simplifying Expressions

Study Skills: Reviewing a Chapter

Chapter 1 Summary

Chapter 1 Review Exercises

Chapter 1 Mixed Review Exercises

Chapter 1 Test

**2. Linear Equations and Inequalities in One Variable**

2.1 The Addition Property of Equality

Study Skills: Managing Your Time

2.2 The Multiplication Property of Equality

2.3 More on Solving Linear Equations

Study Skills: Using Study Cards Revisited

Summary Exercises: Applying Methods for Solving Linear Equations

2.4 Applications of Linear Equations

2.5 Formulas and Additional Applications from Geometry

2.6 Ratio, Proportion, and Percent

2.7 Further Applications of Linear Equations

2.8 Solving Linear Inequalities

Study Skills: Taking Math Tests

Chapter 2 Summary

Chapter 2 Review Exercises

Chapter 2 Mixed Review Exercises

Chapter 2 Test

Chapters R—2 Cumulative Review Exercises

**3. Linear Equations and Inequalities in Two Variables**

3.1 Linear Equations and Rectangular Coordinates

Study Skills: Analyzing Your Test Results

3.2 Graphing Linear Equations in Two Variables

3.3 The Slope of a Line

Study Skills: Preparing for Your Math Final Exam

3.4 Slope-Intercept Form of a Linear Equation

3.5 Point-Slope Form of a Linear Equation and Modeling

Summary Exercises: Applying Graphing and Equation-Writing Techniques for Lines

Chapter 3 Summary

Chapter 3 Review Exercises

Chapter 3 Mixed Review Exercises

Chapter 3 Test

Chapters R—3 Cumulative Review Exercises

**4. Exponents and Polynomials**

4.1 The Product Rule and Power Rules for Exponents

4.2 Integer Exponents and the Quotient Rule

Summary Exercises: Applying the Rules for Exponents

4.3 Scientific Notation

4.4 Adding, Subtracting, and Graphing Polynomials

4.5 Multiplying Polynomials

4.6 Special Products

4.7 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 and Applications**

5.1 The Greatest Common Factor; Factoring by Grouping

5.2 Factoring Trinomials

5.3 More on Factoring Trinomials

5.4 Special Factoring Techniques

Summary Exercises: Recognizing and Applying Factoring Strategies

5.5 Solving Quadratic Equations Using the Zero-Factor Property

5.6 Applications of Quadratic Equations

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 Applications**

6.1 The Fundamental Property of Rational Expressions

6.2 Multiplying and Dividing Rational Expressions

6.3 Least Common Denominators

6.4 Adding and Subtracting Rational Expressions

6.5 Complex Fractions

6.6 Solving Equations with Rational Expressions

Summary Exercises: Simplifying Rational Expressions vs. Solving Rational Equations

6.7 Applications of Rational Expressions

Chapter 6 Summary

Chapter 6 Review Exercises

Chapter 6 Mixed Review Exercises

Chapter 6 Test

Chapters R—6 Cumulative Review Exercises

**7. Graphs, Linear Equations, and Systems**

7.1 Review of Graphs and Slopes of Lines

7.2 Review of Equations of Lines; Linear Models

7.3 Solving Systems of Linear Equations by Graphing

7.4 Solving Systems of Linear Equations by Substitution

7.5 Solving Systems of Linear Equations by Elimination

Summary Exercises: Applying Techniques for Solving Systems of Linear Equations

7.6 Systems of Linear Equations in Three Variables

7.7 Applications of Systems of Linear Equations

Chapter 7 Summary

Chapter 7 Review Exercises

Chapter 7 Mixed Review Exercises

Chapter 7 Test

Chapters R—7 Cumulative Review Exercises

**8. Inequalities and Absolute Value**

8.1 Review of Linear Inequalities in One Variable

8.2 Set Operations and Compound Inequalities

8.3 Absolute Value Equations and Inequalities

Summary Exercises: Solving Linear and Absolute Value Equations and Inequalities

8.4 Linear Inequalities and Systems in Two Variables

Chapter 8 Summary

Chapter 8 Review Exercises

Chapter 8 Mixed Review Exercises

Chapter 8 Test

Chapters R—8 Cumulative Review Exercises

**9. Relations and Functions**

9.1 Introduction to Relations and Functions

9.2 Function Notation and Linear Functions

9.3 Polynomial Functions, Operations, and Composition

9.4 Variation

Chapter 9 Summary

Chapter 9 Review Exercises

Chapter 9 Mixed Review Exercises

Chapter 9 Test

Chapters R—9 Cumulative Review Exercises

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

10.1 Radical Expressions and Graphs

10.2 Rational Exponents

10.3 Simplifying Radicals, the Distance Formula, and Circles

10.4 Adding and Subtracting Radical Expressions

10.5 Multiplying and Dividing Radical Expressions

Summary Exercises: Performing Operations with Radicals and Rational Exponents

10.6 Solving Equations with Radicals

10.7 Complex Numbers

Chapter 10 Summary

Chapter 10 Review Exercises

Chapter 10 Mixed Review Exercises

Chapter 10 Test

Chapters R—10 Cumulative Review Exercises

**11. Quadratic Equations, Inequalities, and Functions**

11.1 Solving Quadratic Equations by the Square Root Property

11.2 Solving Quadratic Equations by Completing the Square

11.3 Solving Quadratic Equations by the Quadratic Formula

11.4 Solving Equations Quadratic in Form

Summary Exercises: Applying Methods for Solving Quadratic Equations

11.5 Formulas and Further Applications

11.6 Graphs of Quadratic Functions

11.7 More about Parabolas and Their Applications

11.8 Polynomial and Rational Inequalities

Chapter 11 Summary

Chapter 11 Review Exercises

Chapter 11 Mixed Review Exercises

Chapter 11 Test

Chapters R—11 Cumulative Review Exercises

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

12.1 Inverse Functions

12.2 Exponential Functions

12.3 Logarithmic Functions

12.4 Properties of Logarithms

12.5 Common and Natural Logarithms

12.6 Exponential and Logarithmic Equations; Further Applications

Chapter 12 Summary

Chapter 12 Review Exercises

Chapter 12 Mixed Review Exercises

Chapter 12 Test

Chapters R—12 Cumulative Review Exercises

**Appendix A: Review of Exponents, Polynomials, and Factoring (Transition from Beginning to Intermediate Algebra)**

**Appendix B: Synthetic Division**

Answers to Selected Exercises

Glossary

Credits

Index

**Additional topics available in MyMathLab**: Sets; Introduction to Calculators; Solving Systems of Linear Equations by Matrix Methods; Piecewise Linear Functions; Conic Sections; Nonlinear Systems of Equations; Second-Degree Inequalities and Systems of Inequalities; Linear Programming; Sequences and Series; The Binomial Theorem