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Ecompanion Beginning Algebra
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Table of Contents

1. PREALGEBRA REVIEW. Introduction to Integers. Operations with Integers. Rational Numbers. Exponents and the Order of Operations Agreement. Concepts from Geometry. 2. VARIABLE EXPRESSIONS. Evaluating Variable Expressions. Simplifying Variable Expressions. Translating Verbal Expressions into Variable Expressions. 3. SOLVING EQUATIONS AND INEQUALITIES. Introduction to Equations. General Equations. Inequalities. 4. SOLVING EQUATIONS AND INEQUALITIES: APPLICATIONS. Translating Sentences into Equations. Integer, Coin, and Stamp Problems. Geometry Problems. Markup and Discount Problems. Investment Problems. Mixture Problems. Uniform Motion Problems. Inequalities. 5. LINEAR EQUATIONS AND INEQUALITIES. The Rectangular Coordinate System. Graphs of Straight Lines. Slopes of Straight Lines. Equations of Straight Lines. Functions. Graphing Linear Inequalities. 6. SYSTEMS OF LINEAR EQUATIONS. Solving Systems of Linear Equations by Graphing. Solving Systems of Linear Equations by the Substitution Method. Solving Systems of Linear Equations by the Addition Method. Application Problems in Two Variables. 7. POLYNOMIALS. Addition and Subtraction of Polynomials. Multiplication of Monomials. Multiplication of Polynomials. Integer Exponents and Scientific Notation. Division of Polynomials. 8. FACTORING. Common Factors. Factoring Polynomials of the Form x2 + bx + c. Factoring Polynomials of the Form ax2 + bx + c. Special Factoring. Solving Equations. 9. RATIONAL EXPRESSIONS. Multiplication and Division of Rational Expressions. Expressing Fractions in Terms of the Least Common Multiple of Their Denominators. Addition and Subtraction of Rational Expressions. Complex Fractions. Equations Containing Fractions. Literal Equations. Application Problems. 10. RADICAL EXPRESSIONS. Introduction to Radical Expressions. Addition and Subtraction of Radical Expressions. Multiplication and Division of Radical Expressions. Solving Equations Containing Radical Expressions. 11. QUADRATIC EQUATIONS. Section 11.1 Solving Quadratic Equations by Factoring or by Taking Square Roots. Solving Quadratic Equations by Completing the Square. Solving Quadratic Equations by Using the Quadratic Formula. Graphing Quadratic Equations in Two Variables. Application Problems.

About the Author

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. He received 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. 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.

Reviews

1. PREALGEBRA REVIEW. Introduction to Integers. Operations with Integers. Rational Numbers. Exponents and the Order of Operations Agreement. Concepts from Geometry. 2. VARIABLE EXPRESSIONS. Evaluating Variable Expressions. Simplifying Variable Expressions. Translating Verbal Expressions into Variable Expressions. 3. SOLVING EQUATIONS AND INEQUALITIES. Introduction to Equations. General Equations. Inequalities. 4. SOLVING EQUATIONS AND INEQUALITIES: APPLICATIONS. Translating Sentences into Equations. Integer, Coin, and Stamp Problems. Geometry Problems. Markup and Discount Problems. Investment Problems. Mixture Problems. Uniform Motion Problems. Inequalities. 5. LINEAR EQUATIONS AND INEQUALITIES. The Rectangular Coordinate System. Graphs of Straight Lines. Slopes of Straight Lines. Equations of Straight Lines. Functions. Graphing Linear Inequalities. 6. SYSTEMS OF LINEAR EQUATIONS. Solving Systems of Linear Equations by Graphing. Solving Systems of Linear Equations by the Substitution Method. Solving Systems of Linear Equations by the Addition Method. Application Problems in Two Variables. 7. POLYNOMIALS. Addition and Subtraction of Polynomials. Multiplication of Monomials. Multiplication of Polynomials. Integer Exponents and Scientific Notation. Division of Polynomials. 8. FACTORING. Common Factors. Factoring Polynomials of the Form x2 + bx + c. Factoring Polynomials of the Form ax2 + bx + c. Special Factoring. Solving Equations. 9. RATIONAL EXPRESSIONS. Multiplication and Division of Rational Expressions. Expressing Fractions in Terms of the Least Common Multiple of Their Denominators. Addition and Subtraction of Rational Expressions. Complex Fractions. Equations Containing Fractions. Literal Equations. Application Problems. 10. RADICAL EXPRESSIONS. Introduction to Radical Expressions. Addition and Subtraction of Radical Expressions. Multiplication and Division of Radical Expressions. Solving Equations Containing Radical Expressions. 11. QUADRATIC EQUATIONS. Section 11.1 Solving Quadratic Equations by Factoring or by Taking Square Roots. Solving Quadratic Equations by Completing the Square. Solving Quadratic Equations by Using the Quadratic Formula. Graphing Quadratic Equations in Two Variables. Application Problems.

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