Mathematics
Elementary and Intermediate Algebra, 2nd Edition
includes Digital Video Companion, BCA/iLrn™ Tutorial, Interactive Elementary and Intermediate Algebra Student Access, BCA/iLrn™ Student Guide, and InfoTrac®
ISBN-10: 0534418163 ISBN-13: 9780534418168
976 Pages Casebound
© 2004 Published
- Overview
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- About the Author
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- Table of Contents
Table of Contents
Preface to the Instructor.
Preface to the Student.
1. THE BASICS.
Notation and Symbols. Real Numbers. Addition of Real Numbers. Subtraction of Real Numbers. Properties of Real Numbers. Multiplication of Real Numbers. Division of Real Numbers. Subsets of Real Numbers. Addition and Subtraction with Fractions. Summary. Review. Test. Projects.
2. LINEAR EQUATIONS AND INEQUALITIES.
Simplifying Expressions. Addition Property of Equality. Multiplication Property of Equality. Solving Linear Equations. Formulas. Applications. More Applications. Linear Inequalities. Summary. Review. Cumulative Review. Test. Projects.
3. GRAPHING AND LINEAR SYSTEMS.
Paired Data and Graphing Ordered Pairs. Solutions to Linear Equations in Two Variables. Graphing Linear Equations in Two Variables. More on Graphing: Intercepts. Slope and the Equation of a Line. Solving Linear Systems by Graphing. The Addition Method. The Substitution Method. Applications. Summary. Review. Cumulative Review. Test. Projects.
4. EXPONENTS AND POLYNOMIALS.
Multiplication with Exponents. Division with Exponents. Operations with Monomials. Addition and Subtraction of Polynomials. Multiplication with Polynomials. Binomial Squares and Other Special Products. Dividing a Polynomial by a Monomial. Dividing a Polynomial by a Polynomial. Summary. Review. Cumulative Review. Test. Projects.
5. FACTORING.
The Greatest Common Factor and Factoring by Grouping. Factoring Trinomials. More Trinomials to Factor. The Difference of Two Squares. Factoring: A General Review. Solving Equations by Factoring. Applications. Summary. Review. Cumulative Review. Test. Projects.
6. RATIONAL EXPRESSIONS.
Reducing Rational Expressions to Lowest Terms. Multiplication and Division of Rational Expressions. Addition and Subtraction of Rational Expressions. Equations Involving Rational Expressions. Applications. Complex Fractions. Proportions. Summary. Review. Cumulative Review. Test. Projects.
7. TRANSITIONS.
Review of Solving Equations. Equations with Absolute Value. Compound Inequalities and Interval Notation. Inequalities Involving Absolute Value. Factoring the Sum and Difference of Two Cubes. Review of Systems of Equations in Two Variables. Systems of Equations in Three Variables. Systems of Linear Inequalities. Summary. Review. Cumulative Review. Test. Projects.
8. EQUATIONS AND INEQUALITIES IN TWO VARIABLES.
The Slope of a Line. The Equation of a Line. Linear Inequalities in Two Variables. Introduction to Functions. Function Notation. Algebra with Functions. Variation. Summary. Review. Cumulative Review. Test. Projects.
9. RATIONAL EXPONENTS AND ROOTS.
Rational Exponents. More Expressions Involving Rational Exponents. Simplified Form for Radicals. Addition and Subtraction of Radical Expressions. Multiplication and Division of Radical Expressions. Equations with Radicals. Complex Numbers. Summary. Review. Cumulative Review. Test. Projects.
10. QUADRATIC EQUATIONS.
Completing the Square. The Quadratic Formula. Additional Items Involving Solutions to Equations. Equations Quadratic in Form. Graphing Parabolas. Quadratic Inequalities. Summary. Review. Cumulative Review. Test. Projects.
11. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions. The Inverse of a Function. Logarithms are Exponents. Properties of Logarithms. Common Logarithms and Natural Logarithms. Exponential Equations and Change of Base. Summary. Review. Cumulative Review. Test. Projects.
12. CONIC SECTIONS.
The Circle. Ellipses and Hyperbolas. Second-degree Inequalities and Nonlinear Systems. Summary. Review. Cumulative Review. Test. Projects.
13. SEQUENCES AND SERIES.
Sequences. Series. Arithmetic Sequences. Geometric Sequences. The Binomial Expansion. Summary. Review. Cumulative Review. Test. Projects.
Appendix A: Synthetic Division.
Appendix B: Introduction to Determinants.
Appendix C: Cramer's Rule.
Appendix D: Matrix Solutions to Systems of Equations.
Answers to Odd-Numbered Problems, Chapter Reviews, and Chapter Tests.
Index.