Waubonsee Community College

Beginning algebra with applications, Richard N. Aufmann, Vernon C. Barker, Joanne S. Lockwood

eng

illustrations

index present

non fiction

Beginning algebra with applications

123377180

Richard N. Aufmann, Vernon C. Barker, Joanne S. Lockwood

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 exercises5. 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-an-error method -- Projects & group activities : prime and composite numbers -- Chapter summary -- Chapter review exercises -- Chapter test -- Cumulative review exercises9. 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