Introductory Algebra

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

• ISBN13: 9780321557131
• ISBN10: 0321557131
• Edition: 9th
• Format: Paperback
• Copyright: 2008-12-28
• Publisher: Pearson

Summary

For all readers interested in beginning algebra.

The Lial series has 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 support–a book written with student success as its top priority, now with an emphasis on study skills growth and an expanded instructor supplements package.

Prealgebra Review; The Real Number System; Equations, Inequalities, and Applications; Graphs of Linear Equations and Inequalities in Two Variables; Systems of Equations and Inequalities; Exponents and Polynomials; Factoring and Applications; Rational Expressions and Applications; Roots and Radicals; Quadratic Equations.

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

Prealgebra Review

Fractions

Decimals and Percents

Study Skills: Using Your Textbook

The Real Number System

Exponents, Order of Operations, and Inequality

Study Skills: Homework: How, Why, When

Variables, Expressions, and Equations

Study Skills: Taking Lecture Notes

Real Numbers and the Number Line

Study Skills: Using Study Cards

Adding Real Numbers

Subtracting Real Numbers

Multiplying and Dividing Real Numbers

Summary Exercises on Operations with Real Numbers

Properties of Real Numbers

Simplifying Expressions

Study Skills: Reviewing a Chapter

Summary

Review Exercises

Test

Study Skills: Preparing for Tests

Equations, Inequalities, and Applications

The Addition Property of Equality

The Multiplication Property of Equality

More on Solving Linear Equations

Study Skills: Using Study Cards: Revisited

Summary Exercises on Solving Linear Equations

An Introduction to Applications of Linear Equations

Formulas and Additional Applications from Geometry

Ratio, Proportion, and Percent

Summary Exercises on Solving Applied Problems

Solving Linear Inequalities

Study Skills: Managing Your Time

Summary

Review Exercises

Test

Cumulative Review Exercises

Study Skills: Taking Tests

Graphs of Linear Equations and Inequalities in Two Variables

Reading Graphs; Linear Equations in Two Variables

Graphing Linear Equations in Two Variables

Slope of a Line

Equations of Lines

Summary Exercises on Graphing Linear Equations

Graphing Linear Inequalities in Two Variables

Summary

Review Exercises

Test

Cumulative Review Exercises

Study Skills: Analyzing Your Test Results

Systems of Equations and Inequalities

Solving Systems of Linear Equations by Graphing

Solving Systems of Linear Equations by Substitution

Solving Systems of Linear Equations by Elimination

Summary Exercises on Solving Systems of Linear Equations

Applications of Linear Systems

Solving Systems of Linear Inequalities

Summary

Review Exercises

Test

Cumulative Review Exercises

Exponents and Polynomials

Adding and Subtracting Polynomials

The Product Rule and Power Rules for Exponents

Multiplying Polynomials

Special Products

Integer Exponents and the Quotient Rule

Summary Exercises on the Rules for Exponents

Dividing a Polynomial by a Monomial

Dividing a Polynomial by a Polynomial

An Application of Exponents: Scientific Notation

Summary

Review Exercises

Test

Cumulative Review Exercises

Factoring and Applications

Factors; The Greatest Common Factor

Factoring Trinomials

Factoring Trinomials by Grouping

Factoring Trinomials Using FOIL

Special Factoring Techniques

Summary Exercises on Factoring

Solving Quadratic Equations by Factoring

Applications of Quadratic Equations

Summary

Review Exercises

Test

Cumulative Review Exercises

Rational Expressions and Applications

The Fundamental Property of Rational Expressions

Multiplying and Dividing Rational Expressions

Study Skills: Making a Mind Map

Least Common Denominators

Adding and Subtracting Rational Expressions

Complex Fractions

Solving Equations with Rational Expressions

Summary Exercises on Operations and Equations with Rational Expressions

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