Intermediate Algebra, Updated Media Edition (with CD-ROM and MathNOW?, Enhanced iLrn? Math Tutorial, Student Resource Center Printed Access Card) / Edition 3by Alan S. Tussy, R. David Gustafson
Pub. Date: 01/24/2006
Publisher: Cengage Learning
Become fluent in "the language of algebra" with INTERMEDIATE ALGEBRA. This textbook will improve your ability to read, write, and communicate mathematical ideas. Tussy and Gustafson make learning easy with their five-step problem-solving approach: analyze the problem, form an equation, solve the equation, state the result, and check the solution. This edition
Become fluent in "the language of algebra" with INTERMEDIATE ALGEBRA. This textbook will improve your ability to read, write, and communicate mathematical ideas. Tussy and Gustafson make learning easy with their five-step problem-solving approach: analyze the problem, form an equation, solve the equation, state the result, and check the solution. This edition also includes iLrn Testing and Tutorial; Personal Tutor with SMARTHINKING live online tutoring; the Interactive Video Skillbuilder CD-ROM with MathCue; a Book Companion Web Site featuring online graphing calculator resources; and The Learning Equation, powered by iLrn.
Table of Contents
1. REVIEW OF BASIC ALGEBRA. Describing Numerical Relationships. The Real Number System/Operations with Real Numbers. Simplifying Algebraic Expressions. Solving Linear Equations and Formulas. Using Equations to Solve Problems. More Problem Solving. Key Concept: "Let x =". 2. GRAPHS, EQUATIONS OF LINES, AND FUNCTIONS. The Rectangular Coordinate System. Graphing Linear Equations. Rate of Change and the Slope of a Line. Writing Equations of Lines. Introduction to Functions. Graphs of Functions. Key Concept: Functions. 3. SYSTEMS OF EQUATIONS. Solving Systems by Graphing. Solving Systems Algebraically. Systems with Three Variables. Solving Systems Using Matrices. Solving Systems Using Determinants. Key Concept: Systems of Equations. 4. INEQUALITIES. Solving Linear Inequalities. Solving Compound Inequalities. Solving Absolute Value Equations and Inequalities. Linear Inequalities in Two Variables. Systems of Linear Inequalities. Key Concept: Inequalities. 5. EXPONENTS, POLYNOMIALS, AND POLYNOMIAL FUNCTIONS. Exponents. Scientific Notation. Polynomials and Polynomial Functions. Multiplying Polynomials. The Greatest Common Factor and Factoring by Grouping. The Difference of Two Squares. The Sum and Difference of Two Cubes. Factoring Trinomials. Summary of Factoring Techniques. Solving Equations by Factoring. Key Concept: Polynomials. 6. RATIONAL EXPRESSIONS, EQUATIONS, AND FUNCTIONS. Rational Functions and Simplifying Rational Expressions. Proportion and Variation. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Complex Fractions. Equations Containing Rational Expressions. Dividing Polynomials. Key Concept: Expressions and Equations. 7. RADICAL EXPRESSIONS, EQUATIONS, AND FUNCTIONS. Radical Expressions and Radical Functions. Simplifying and Combining Radical Expressions. Multiplying and Dividing Radical Expressions. Radical Equations. Rational Exponents. Geometric Applications of Radicals. Key Concept: Radicals. 8. QUADRATIC EQUATIONS, FUNCTIONS, AND INEQUALITIES. Completing the square. The Quadratic Formula. Quadratic Functions and Their Graphs. Complex Numbers. The Discriminant and Equations That Can Be Written in Quadratic Form. Quadratic and Other Nonlinear Inequalities. Key Concept: Solving Quadratic Equations. 9. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Algebra and Composition of Functions. Inverses of Functions. Exponential Functions. Base-e Exponential Functions. Logarithmic Functions. Base-e Logarithms/ Properties of Logarithms. Exponential and Logarithmic Equations. Key Concept: Inverse Functions. 10. CONIC SECTIONS; MORE GRAPHING. The Circle and Parabola. The Ellipse. The Hyperbola. Solving Simultaneous Second-Degree Equations. Key Concept: Conic Sections. Appendix I: A Review of Fractions and Decimals. Appendix II: The Binomial Theorem. Appendix III: Tables.
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