## Description

**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 all the tools they need to achieve success.

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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)–new study skills activities in the text, an expanded video program available in MyMathLab and on the Video Resources on DVD, and more!

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*This ISBN is for the textbook only. MyMathLab access kit, Video Resources on DVD, and other resources are available separately.*

## Table of Contents

**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
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Margaret L. Lial, John Hornsby, Terry McGinnis

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