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Beginning algebra with applications
- Author / Creator
- Available as
- Physical
Details
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- Creator
- Richard N. Aufmann, Vernon C. Barker, Joanne S. Lockwood
- Format
- Books
- Language
- English
- Contributors
- Publication
-
- Seventh edition, instructor's annotated edition
- Boston : Houghton Mifflin, [2008]
- ©2008
- Physical Details
-
- xxxii, 664 pages, 28 pages, 46 pages, 6 pages, 5 pages : illustrations (chiefly color) ; 29 cm
- ISBNs
- 9780618803613, 0618803610
- OCLC
- ocn123377180
- Includes index.
- Preface -- AIM for success -- 1. Prealgebra review -- Prep test -- 1.1. Introduction to integers -- 1.2. Operations with integers -- 1.3. Rational numbers -- 1.4. Exponents and the order of operations agreement -- 1.5. Concepts from geometry -- Focus on problem solving : inductive reasoning -- Projects & group activities : calculators -- Chapter summary -- Chapter review exercises -- Chapter test -- 2. Variable expressions -- Prep test -- 2.1. Evaluating variable expressions -- 2.2. Simplifying variable expressions -- 2.3. Translating verbal expressions into variable expressions -- Focus on problem solving : from concrete to abstract -- Projects & group activities : investigation into operations with even and odd integers -- Chapter summary -- Chapter review exercises -- Chapter test -- Cumulative review exercises -- 3. Solving equations and inequalities -- Prep test -- 3.1. Introduction to equations -- 3.2. General equations -- 3.3. Inequalities -- Focus on problem solving : analyzing data -- Projects & group activities : the Consumer Price Index -- Chapter summary -- Chapter review exercises -- Chapter test -- Cumulative review exercises -- 4. Solving equations and inequalities : applications -- Prep test -- 4.1. Translating sentences into equations -- 4.2. Integer, coin, and stamp problems -- 4.3. Geometry problems -- 4.4. Markup and discount problems -- 4.5. Investment problems -- 4.6. Mixture problems -- 4.7. Uniform motion problems -- 4.8. Inequalities -- Focus on problem solving : diagramming problems -- Projects & group activities : Nielsen ratings -- Chapter summary -- Chapter review exercises -- Chapter test -- Cumulative review exercises --
- 5. Linear equations and inequalities -- Prep test -- 5.1. The rectangular coordinate system -- 5.2. Graphs of straight lines -- 5.3. Slopes of straight lines -- 5.4. Equations of straight lines -- 5.5. Functions -- 5.6. Graphing linear inequalities -- Focus on problem solving : counterexamples -- Projects & group activities : graphing linear equations with a graphing utility -- Chapter summary -- Chapter review exercises -- Chapter test -- Cumulative review exercises -- 6. Systems of linear equations -- Prep test -- 6.1. Solving systems of linear equations by graphing -- 6.2. Solving systems of linear equations by the substitution method -- 6.3. Solving systems of liner equations by the addition method -- 6.4. Application problems in two variables -- Focus on problem solving : using a table and searching for a pattern -- Projects & group activities : solving a system of equations with a graphing calculator -- Chapter summary -- Chapter review exercises -- Chapter test -- Cumulative review exercises -- 7. Polynomials -- Prep test -- 7.1. Addition and subtraction of polynomials -- 7.2. Multiplication of monomials -- 7.3. Multiplication of polynomials -- 7.4. Integer exponents and scientific notation -- 7.5. Division of polynomials -- Focus on problem solving : dimensional analysis -- Projects & group activities : population and land allocation -- Chapter summary -- Chapter review exercises -- Chapter test -- Cumulative review exercises -- 8. Factoring -- Prep test -- 8.1. Common factors -- 8.2. Factoring polynomials of the form x² + bx +c -- 8.3. Factoring polynomials of the form ax² + bx + c -- 8.4. Special factoring -- 8.5. Solving equations -- Focus on problem solving : the trial-and-error method -- Projects & group activities : prime and composite numbers -- Chapter summary -- Chapter review exercises -- Chapter test -- Cumulative review exercises --
- 9. Rational expressions -- Prep test -- 9.1. Multiplication and division of rational expressions -- 9.2. Expressing fractions in terms of the least common multiple of their denominators -- 9.3. Addition and subtraction of rational expressions -- 9.4. Complex fractions -- 9.5. Equations containing fractions -- 9.6. Literal equations -- 9.7. Application problems -- Focus on problem solving : calculators -- Projects & group activities : scale model of the solar system -- Chapter summary -- Chapter review exercises -- Chapter test -- Cumulative review exercises -- 10. Radical expressions -- Prep test -- 10.1. Introduction to radical expressions -- 10.2. Addition and subtraction of radical expressions -- 10.3. Multiplication and division of radical expressions -- 10.4. Solving equations containing radical expressions -- Focus on problem solving : deductive reasoning -- Projects & group activities : expressway on-ramp curves -- Chapter summary -- Chapter review exercises -- Chapter test -- Cumulative review exercises -- 11. Quadratic equations -- Prep test -- 11.1. Solving quadratic equations by factoring or by taking square roots -- 11.2. Solving quadratic equations by completing the square -- 11.3. Solving quadratic equations by using the quadratic formula -- 11.4. Complex numbers -- 11.5. Graphing quadratic equations in two variables -- 11.6. Application problems -- Focus on problem solving : applying algebraic manipulation and graphing techniques to business -- Projects & group activities : graphical solutions of quadratic equations -- Chapter summary -- Chapter review exercises -- Chapter test -- Cumulative review exercises -- Final exam -- Appendix -- Table of properties -- Calculator guide for the TI-83 and TI-83 Plus/TI-84 Plus -- Photo credits -- Solutions to chapter problems -- Answers to selected exercises -- Glossary -- Index