Algebra For College Students by Margaret L. LialAlgebra For College Students by Margaret L. Lial

Algebra For College Students

byMargaret L. Lial, John Hornsby, Terry Mcginnis

Hardcover | January 28, 2015

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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, 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 A...
Title:Algebra For College StudentsFormat:HardcoverDimensions:912 pages, 11 × 8.6 × 1.6 inPublished:January 28, 2015Publisher:Pearson EducationLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:032196926X

ISBN - 13:9780321969262

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Table of Contents


            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