# Introductory Algebra

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

### 9780321557131

step-by-step solutions for this book.

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## 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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