Intermediate Algebra / Edition 11

by Margaret Lial, John Hornsby, Terry McGinnis

Overview

For courses in Intermediate Algebra.

The perfect combination to master concepts: student-friendly writing, well-crafted exercises, and superb support

The Lial Series has helped thousands of students succeed in developmental mathematics by combining clear, concise writing and examples with carefully crafted exercises to support skill development and conceptual understanding. The reader-friendly style delivers help precisely when needed. This revision continues to support students with enhancements in the text and MyLabTM Math course to encourage conceptual understanding beyond skills and procedures. Student-oriented features throughout the text and MyLab Math, including the Relating Concepts exercises, Guided Solutions, Test Your Word Power, and the Lial Video Library, make the Lial series one of the most well-rounded and student-friendly available.

Also available with MyLab Math.

MyLab^TM Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts.

Note: You are purchasing a standalone product; MyLabTM does not come packaged with this content. Students, if interested in purchasing this title with MyLab, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.

If you would like to purchase both the physical text and MyLab, search for:

0134768590 / 9780134768595 Intermediate Algebra Plus MyLab Math — Title-Specific Access Card Package, 11/e

Package consists of:

• 0134494075 / 9780134494074 Intermediate Algebra
• 013476465X / 9780134764658 MyLab Math with Pearson eText — Standalone Access Card — for Intermediate Algebra

Product Details

ISBN-13:	9780134446035
Publisher:	Pearson Education
Publication date:	02/06/2017
Edition description:	11th ed.
Pages:	848
Product dimensions:	8.30(w) x 10.80(h) x 1.10(d)

About the Author

The late 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, was affiliated with American River College. An avid reader and traveler, her travel experiences often found their way into her books as applications, exercise sets, and feature sets. Her interest in archeology led to trips to various digs and ruin sites, producing 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 25 years of teaching at the high school and university levels and 15 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. When not working, Terry enjoys spinning at a local health club, walking, and reading fiction. She is the devoted mother of 2 sons, Andrew and Tyler.

Table of Contents

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

Study Skills Using Your Math Text

Study Skills Reading Your Math Text

1. Linear Equations and Applications

1.1 Linear Equations in One Variable

Study Skills Completing Your Homework

1.2 Formulas and Percent

Study Skills Managing Your Time

1.3 Applications of Linear Equations

Study Skills Taking Lecture Notes

1.4 Further Applications of Linear Equations

Summary Exercises Applying Problem-Solving Techniques

Study Skills Reviewing a Chapter

2. Linear Inequalities and Absolute Value

2.1 Linear Inequalities in One Variable

Study Skills Using Study Cards

2.2 Set Operations and Compound Inequalities

Study Skills Using Study Cards Revisited

2.3 Absolute Value Equations and Inequalities

Summary Exercises Solving Linear and Absolute Value Equations and Inequalities
Study Skills Taking Math Tests

3. Graphs, Linear Equations and Functions

3.1 The Rectangular Coordinate System

Study Skills Analyzing Your Test Results

3.2 Slope of a Line

3.3 Linear Equations in Two Variables

Summary Exercises Finding Slopes and Equations of Lines

3.4 Linear Inequalities in Two Variables

3.5 Introduction to Relations and Functions

3.6 Function Notation and Linear Functions

4. Systems of Linear Equations

4.1 Systems of Linear Equations in Two Variables

Study Skills Preparing for Your Math Final Exam

4.2 Systems of Linear Equations in Three Variables

4.3 Applications of Systems of Linear Equations

5. Exponents, Polynomials, and Polynomial Functions

5.1 Integer Exponents

5.2 Scientific Notation

5.3 Adding and Subtracting Polynomials

5.4 Polynomial Functions and Graphs

5.5 Multiplying Polynomials

5.6 Dividing Polynomials

6. Factoring

6.1 Greatest Common Factors and Factoring by Grouping

6.2 Factoring Trinomials

6.3 Special Factoring

6.4 A General Approach to Factoring

6.5 Solving Equations Using the Zero-Factor Property

7. Rational Expressions and Functions

7.1 Rational Expressions and Functions; Multiplying and Dividing

7.2 Adding and Subtracting Rational Expressions

7.3 Complex Fractions

7.4 Equations with Rational Expressions and Graphs

Summary Exercises Simplifying Rational Expressions vs. Solving Rational Equations

7.5 Applications of Rational Expressions

7.6 Variation

8. Roots, Radicals, and Root Functions

8.1 Radical Expressions and Graphs

8.2 Rational Exponents

8.3 Simplifying Radical Expressions

8.4 Adding and Subtracting Radical Expressions

8.5 Multiplying and Dividing Radical Expressions

Summary Exercises Performing Operations with Radicals and Rational Exponents

8.6 Solving Equations with Radicals

8.7 Complex Numbers

9. Quadratic Equations, Inequalities, and Functions

9.1 The Square Root Property and Completing the Square

9.2 The Quadratic Formula

9.3 Equations Quadratic in Form

Summary Exercises Applying Methods for Solving Quadratic Equations

9.4 Formulas and Further Applications

9.5 Graphs of Quadratic Functions

9.6 More about Parabolas and Their Applications

9.7 Polynomial and Rational Inequalities

10. Inverse, Exponential, and Logarithmic Functions

10.1 Composition of Functions

10.2 Inverse Functions

10.3 Exponential Functions

10.4 Logarithmic Functions

10.5 Properties of Logarithms

10.6 Common and Natural Logarithms

10.7 Exponential and Logarithmic Equations and Their Applications

11. Nonlinear Functions, Conic Sections, and Nonlinear Systems

11.1 Additional Graphs of Functions

11.2 Circles and Ellipses

11.3 Hyperbolas and Functions Defined by Radicals

11.4 Nonlinear Systems of Equations

11.5 Second-Degree Inequalities and Systems of Inequalities

Appendix A. Review of Fractions

Appendix B. Synthetic Division

Appendix C. Solving Systems of Linear Equations by Matrix Methods

Editorial Reviews

New edition of a text that overlaps between typical beginning and intermediate algebra texts. Lial (American River College) and Hornsby (U. of New Orleans) have organized the 14 chapters to accommodate the early introduction of functions and graphing lines in a rectangular coordinate system, thus providing students with important concepts that will be an integral part of later mathematics courses. Subsequent chapters cover linear equations, lines and graphing, lines and inequalities, sequences and series, and other related topics. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Booknews

This textbook reviews the mathematical symbols and operations of algebra, and reinforces function and graphing concepts for future courses. The authors cover polynomial, rational, radical, exponential, and logarithmic equations, and both linear and nonlinear systems. The eighth edition introduces functions and graphs of linear equations earlier in the text. Annotation c. Book News, Inc., Portland, OR (booknews.com)