# Beginning Algebra, 12th edition

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**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.

0321969243 / 9780321969248 Beginning Algebra plus MyMathLab/MyStatLab -- Access Card Package

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0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card

0321654064 / 9780321654069 MyMathLab Inside Star Sticker

0321969332 / 9780321969330 Beginning Algebra

## Table of contents

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; Functions**

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

3.6 Graphing Linear Inequalities in Two Variables

3.7 Introduction to Functions

Chapter 3 Summary

Chapter 3 Review Exercises

Chapter 3 Mixed Review Exercises

Chapter 3 Test

Chapters R—3 Cumulative Review Exercises

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

4.1 Solving Systems of Linear Equations by Graphing

4.2 Solving Systems of Linear Equations by Substitution

4.3 Solving Systems of Linear Equations by Elimination

Summary Exercises: Applying Techniques for Solving Systems of Linear Equations

4.4 Applications of Linear Systems

4.5 Solving Systems of Linear Inequalities

Chapter 4 Summary

Chapter 4 Review Exercises

Chapter 4 Mixed Review Exercises

Chapter 4 Test

Chapters R—4 Cumulative Review Exercises

**5. Exponents and Polynomials**

5.1 The Product Rule and Power Rules for Exponents

5.2 Integer Exponents and the Quotient Rule

Summary Exercises: Applying the Rules for Exponents

5.3 Scientific Notation

5.4 Adding, Subtracting, and Graphing Polynomials

5.5 Multiplying Polynomials

5.6 Special Products

5.7 Dividing Polynomials

Chapter 5 Summary

Chapter 5 Review Exercises

Chapter 5 Mixed Review Exercises

Chapter 5 Test

Chapters R—5 Cumulative Review Exercises

**6. Factoring and Applications**

6.1 The Greatest Common Factor; Factoring by Grouping

6.2 Factoring Trinomials

6.3 More on Factoring Trinomials

6.4 Special Factoring Techniques

Summary Exercises: Recognizing and Applying Factoring Strategies

6.5 Solving Quadratic Equations Using the Zero-Factor Property

6.6 Applications of Quadratic Equations

Chapter 6 Summary

Chapter 6 Review Exercises

Chapter 6 Mixed Review Exercises

Chapter 6 Test

Chapters R—6 Cumulative Review Exercises

**7. Rational Expressions and Applications**

7.1 The Fundamental Property of Rational Expressions

7.2 Multiplying and Dividing Rational Expressions

7.3 Least Common Denominators

7.4 Adding and Subtracting Rational Expressions

7.5 Complex Fractions

7.6 Solving Equations with Rational Expressions

Summary Exercises: Simplifying Rational Expressions vs. Solving Rational Equations

7.7 Applications of Rational Expressions

7.8 Variation

Chapter 7 Summary

Chapter 7 Review Exercises

Chapter 7 Mixed Review Exercises

Chapter 7 Test

Chapters R—7 Cumulative Review Exercises

**8. Roots and Radicals**

8.1 Evaluating Roots

8.2 Multiplying, Dividing, and Simplifying Radicals

8.3 Adding and Subtracting Radicals

8.4 Rationalizing the Denominator

8.5 More Simplifying and Operations with Radicals

Summary Exercises: Applying Operations with Radicals

8.6 Solving Equations with Radicals

Chapter 8 Summary

Chapter 8 Review Exercises

Chapter 8 Mixed Review Exercises

Chapter 8 Test

Chapters R—8 Cumulative Review Exercises

**9. Quadratic Equations**

9.1 Solving Quadratic Equations by the Square Root Property

9.2 Solving Quadratic Equations by Completing the Square

9.3 Solving Quadratic Equations by the Quadratic Formula

Summary Exercises: Applying Methods for Solving Quadratic Equations

9.4 Graphing Quadratic Equations

Chapter 9 Summary

Chapter 9 Review Exercises

Chapter 9 Mixed Review Exercises

Chapter 9 Test

Chapters R—9 Cumulative Review Exercises

Answers to Selected Exercises

Glossary

Credits

Index

**Additional topics available in MyMathLab:** Using Rational Numbers as Exponents; Complex Numbers; Sets; Introduction to Calculators

Published by Pearson (December 24th 2014) - Copyright © 2016