Introductory Algebra

Note: Each chapter begins with a Prep Test and concludes with a Chapter Summary, a Chapter Review, and a Chapter Test. Chapters 2-11 include Cumulative Review Exercises.A. AIM FOR SUCCESS.1. PREALGEBRA REVIEW.Introduction to Integers. Addition and Subtraction of Integers. Multiplication and Division of Integers. Exponents and the Order of Operations Agreement. Factoring Numbers and Prime Factorization. Addition and Subtraction of Rational Numbers. Multiplication and Division of Rational Numbers. Concepts from Geometry.2. VARIABLE EXPRESSIONS.Evaluating Variable Expressions. Simplifying Variable Expressions. Translating Verbal Expressions into Variable Expressions.3. SOLVING EQUATIONS.Introduction to Equations. The Basic Percent Equation and the Uniform Motion Equation. General Equations Part I. General Equations Part II. Translating Sentences into Equations. Geometry Problems. Mixture and Uniform Motion Problems.4. POLYNOMIALS.Addition and Subtraction of Polynomials. Multiplication of Monomials. Multiplication of Polynomials. Integer Exponents and Scientific Notation. Division of Polynomials.5. FACTORING.Common Factors. Factoring Polynomials of the Form x + bx + c. Factoring Polynomials of the Form ax + bx + c. Special Factoring. Factoring Polynomials Completely. Solving Equations.6. RATIONAL EXPRESSIONS.Multiplication and Division of Rational Expressions. Expressing Fractions in Terms of the Least Common Multiple (LCM) of the denominators. Addition and Subtraction of Rational Expressions. Complex Fractions. Solving Equations Containing Fractions. Ratio and Proportion. Literal Equations. Application Problems.7. LINEAR EQUATIONS IN TWO VARIABLES.The Rectangular Coordinate System. Linear Equations in Two Variables. Intercepts and Slopes of Straight Lines. Equations of Straight Lines.8. SYSTEMS OF LINEAR EQUATIONS.Solving Systems of Linear Equations by Graphing. Solving Systems of Linear Equations by the Substitution Method. Solving Systems of Equations by the Addition

Joanne Lockwood received a BA in English Literature from St. Lawrence University and both an MBA and a BA in mathematics from Plymouth State University. Ms. Lockwood taught at Plymouth State University and Nashua Community College in New Hampshire, and has over 20 years' experience teaching mathematics at the high school and college level. Ms. Lockwood has co-authored two bestselling developmental math series, as well as numerous derivative math texts and ancillaries. Ms. Lockwood's primary interest today is helping developmental math students overcome their challenges in learning math. Richard Aufmann is the lead author of two best-selling DEVELOPMENTAL MATH series and a best-selling COLLEGE ALGEBRA AND TRIGONOMETRY series, as well as several derivative math texts. Mr. Aufmann taught math, computer science and physics at Palomar College in California, where he was on the faculty for 28 years. His textbooks are highly recognized and respected among college mathematics professors. Today, Mr. Aufmann's professional interests include quantitative literacy, the developmental math curriculum and the impact of technology on curriculum development. He holds a Bachelor of Arts in Mathematics from the University of California, Irvine and a Master of Arts degree in Mathematics from California State University, Long Beach.