Intermediate Algebra

by Lial, Margaret; Hornsby, John; McGinnis, Terry

• ISBN13: 9780321574978
• ISBN10: 0321574974
• Edition: 9th
• Format: Paperback
• Copyright: 2008-12-28
• Publisher: Pearson

Summary

Normal 0 false false false TheLial serieshas helped thousands of students succeed in developmental mathematics through its approachable writing style, supportive pedagogy, varied exercise sets, and complete supplements package. With this new edition, the authors continue to provide students and instructors with the best package for learning and teaching supporta book written with student success as its top priority, now with an emphasis on study skills growth and an expanded instructor supplements package. Review of the Real Number System; Linear Equations and Applications; Linear Inequalities and Absolute Value; Graphs, Linear Equations, and Functions; Systems of Linear Equations; Exponents, Polynomials, and Polynomial Functions; Factoring; Rational Expressions; Roots and Radicals; Quadratic Equations, Inequalities, and Graphs; Inverse, Exponential, and Logarithmic Functions; Nonlinear Functions, Conic Sections, and Nonlinear Systems For all readers interested in intermediate algebra.

Author Biography

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). He has been a rabid 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 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.

Table of Contents

Study Skills: Your Brain Can Learn Mathematics

Review of the Real Number System

Basic Concepts

Operations on Real Numbers

Exponents, Roots, and Order of Operations

Properties of Real Numbers Study Skills: Using Your Textbook

Linear Equations and Applications

Linear Equations in One Variable Study Skills: Homework: How, Why, When

Formulas and Percent

Applications of Linear Equations Study Skills: Taking Lecture Notes

Further Applications of Linear Equations Summary Exercises on Solving Applied Problems Study Skills: Reviewing a Chapter Study Skills: Preparing for Tests

Linear Inequalities and Absolute Value

Linear Inequalities in One Variable Study Skills: Using Study Cards

Set Operations and Compound Inequalities Study Skills: Using Study Cards Revisited

Absolute Value Equations and Inequalities Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities Study Skills: Managing Your Time Study Skills: Tips for Taking Math Tests

Graphs, Linear Equations, and Functions

The Rectangular Coordinate System

Slope of a Line

Linear Equations in Two Variables

Linear Inequalities in Two Variables

Introduction to Functions Study Skills: Analyzing Your Test Results

Systems of Linear Equations

Linear Systems of Equations in Two Variables

Linear Systems of Equations in Three Variables

Applications of Linear Systems of Equations

Solving Linear Systems of Equations by Matrix Methods

Exponents, Polynomials, and Polynomial Functions

Integer Exponents and Scientific Notation

Adding and Subtracting Polynomials

Polynomial Functions

Multiplying Polynomials

Dividing Polynomials

Factoring

Greatest Common Factors; Factoring by Grouping

Factoring Trinomials

Special Factoring

A General Approach to Factoring

Solving Equations by Factoring

Rational Expressions

Rational Expressions and Functions; Multiplying and Dividing Study Skills: Making a Mind Map

Adding and Subtracting Rational Expressions

Complex Fractions

Graphs and Equations with Rational Expressions Summary Exercises on Operations and Equations with Rational Expressions

Applications of Rational Expressions

Variation

Roots and Radicals

Rational Expressions and Graphs

Rational Exponents

Simplifying Radical Expressions

Adding and Subtracting Radical Expressions

Multiplying and Dividing Radical Expressions Summary Exercises on Operations with Radicals

Equations with Radical Expressions

Complex Numbers Study Skills: Preparing for Your Math Final

Quadratic Equations, Inequalities, and Graphs

The Square Root Property and Completing the Square

The Quadratic Formula

Equations Quadratic in Form Summary Exercises on Solving Quadratic Equations

Formulas and Further Applications

Graphs of Quadratic Functions

More About Parabolas and Their Applications

Polynomial and Rational Inequalities

Inverse, Exponential, and Logarithmic Functions

Inverse Functions

Exponential Functions

Logarithmic Functions

Properties of Logarithms

Common and Natural Logarithms

Exponential and Logarithmic Equations; Applications

Nonlinear Functions

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