Is there anything more beautiful than an #x1C;A#x1D; 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 all the tools they need to achieve success. #xA0; With this revision, the Lial team has further refined the presentation and exercises throughout the text. They offer several exciting new resources for students that will provide extra help when needed, regardless of the learning environment (classroom, lab, hybrid, online, etc)#x13;new study skills activities in the text, an expanded video program available in MyMathLab and on the Video Resources on DVD, and more!

**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.

**Chapter 1 The Real Number System**

1.1 Fractions

*Study Skills: Reading Your Math Textbook*

1.2 Exponents, Order of Operations, and Inequality

*Study Skills: Taking Lecture Notes*

1.3 Variables, Expressions, and Equations

1.4 Real Numbers and the Number Line

*Study Skills: Tackling Your Homework*

1.5 Adding and Subtracting Real Numbers

*Study Skills: Using Study Cards*

1.6 Multiplying and Dividing Real Numbers

*Summary Exercises on Operations with Real Numbers*

1.7 Properties of Real Numbers

1.8 Simplifying Expressions

*Study Skills: Reviewing a Chapter*

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

2.1 The Addition Property of Equality

2.2 The Multiplication Property of Equality

2.3 More on Solving Linear Equations

*Summary Exercises on Solving Linear Equations *

*Study Skills: Using Study Cards Revisited*

2.4 An Introduction to Applications of Linear Equations

2.5 Formulas and 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 3 Linear Equations in Two Variables**

3.1 Linear Equations in Two Variables: The Rectangular Coordinate System

*Study Skills: Managing Your Time*

3.2 Graphing Linear Equations in Two Variables

3.3 The Slope of a Line

3.4 Writing and Graphing Equations of Lines

*Summary Exercises on Linear Equations and Graphs*

** **

**Chapter 4 Exponents and Polynomials**

4.1 The Product Rule and Power Rules for Exponents

4.2 Integer Exponents and the Quotient Rule

*Summary Exercises on the Rules for Exponents*

4.3 An Application of Exponents: Scientific Notation

4.4 Adding and Subtracting Polynomials; Graphing Simple Polynomials

4.5 Multiplying Polynomials

4.6 Special Products

4.7 Dividing Polynomials

** **

**Chapter 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 on Factoring*

5.5 Solving Quadratic Equations by Factoring

5.6 Applications of Quadratic Equations

** **

**Chapter 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 on Rational Expressions and*

* Equations*

** 6.7Applications of Rational Expressions** ** **

**Chapter 7 Graphs, Linear Equations, and Functions**

7.1 Review of Graphs and Slopes of Lines

7.2 Review of Equations of Lines; Linear Models

*Summary Exercises on Slopes and Equations of Lines*

7.3 Introduction to Relations and Functions

7.4 Operations and Functions of Composition

7.5 Variation

** **

**Chapter 8 Systems of Linear Equations**

8.1 Solving Systems of Linear Equations by Graphing

8.2 Solving Systems of Linear Equations by Substitution

8.3 Solving Systems of Linear Equations by Elimination

*Summary Exercises on Solving Systems of Linear Equations*

8.4 Systems of Linear Equations in Three Variables

8.5 Applications of Systems of Linear Equations

8.6 Solving Systems of Linear Equations by Matrix Methods

** **

**Chapter 9 Inequalities and Absolute Value**

9.1 Set Operations and Compound Inequalities

9.2 Absolute Value Equations and Inequalities

*Summary Exercises on Solving Linear and Absolute Value Equations*

9.3 Linear Inequalities in Two Variables

** **

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

10.1 Radical Expressions and Graphs

10.2 Rational Exponents

10.3 Simplifying Radical Expressions

10.4 Adding and Subtracting Radical Expressions

10.5 Multiplying and Dividing Radical Expressions

*Summary Exercises on Operations with Radicals and Rational Exponents*

10.6 Solving Equations with Radicals

10.7 Complex Numbers

** **

**Chapter 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 Equations Quadratic in Form

*Summary Exercises on 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 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 13 Nonlinear Functions, Conic Sections, and Nonlinear Systems**

13.1 Additional Graphs of Functions

13.2 The Circle and the Ellipse

13.3 The Hyperbola and Functions Defined by Radicals

13.4 Nonlinear Systems of Equations

13.5 Second-Degree Inequalities and Systems of Inequalities

** **

**Chapter 14 Sequences and Series**

14.1 Sequences and Series

14.2 Arithmetic Sequences

14.3 Geometric Sequences

14.4 The Binomial Theorem

** **

**Appendices**

A Sets

B Review of Exponents, Polynomials, and Factoring

C Synthetic Division

D An Introduction to Calculators