Beginning Algebra with Applications / Edition 7by Richard N. Aufmann, Joanne Lockwood, Vernon C. Barker
This text gives first-year algebra students the confidence they need to problem solve and apply algebra to real-world situations. The Aufmann Interactive Approach presents students with at least one matched-pair example per objective. The Example is worked out and the Problem is left for the student to solve, with references to worked-out solutions at the back of the… See more details below
This text gives first-year algebra students the confidence they need to problem solve and apply algebra to real-world situations. The Aufmann Interactive Approach presents students with at least one matched-pair example per objective. The Example is worked out and the Problem is left for the student to solve, with references to worked-out solutions at the back of the text. Beginning Algebra with Applications also features a complete integrated learning system, in which all lessons, exercises, review tests, and ancillaries are organized around objectives, enhancing course organization for instructors and students.
- End-of-section exercise sets include Project in Mathematics, Chapter Review, Chapter Test, Cumulative Review, and Final Exam.
- Applying Concepts are section-ending problems that promote interpretation, analysis, and critical thinking.
- Calculator coverage includes with optional boxed Calculator Notes and icons to guide students in appropriate calculator usage for Chapter Projects.
- Abundant projects offer instructors more flexibility in assigning long-term work. In addition, Graph Interpretation Projects provide additional practical applications in graph reading.
- Cengage Learning
- Publication date:
- Edition description:
- Older Edition
- Product dimensions:
- 8.60(w) x 10.10(h) x 1.20(d)
Table of Contents
Note: Each chapter concludes with a Chapter Summary, Chapter Review Exercises, and a Chapter Test. Chapters 2-11 include Cumulative Review Exercises. 1. Real Numbers Section 1.1 Introduction to Integers Section 1.2 Operations with Integers Section 1.3 Rational Numbers Section 1.4 Exponents and the Order of Operations Agreement Focus on Problem Solving: Inductive Reasoning Projects and Group Activities: Calculators; Using Patterns in Mathematics; www.fedstats.gov; Moving Averages 2. Variable Expressions Section 2.1 Evaluating Variable Expressions Section 2.2 Simplifying Variable Expressions Section 2.3 Translating Verbal Expressions into Variable Expressions Focus on Problem Solving: From Concrete to Abstract Projects and Group Activities: Investigation into Operations with Even and Odd Integers; Applications of Patterns in Mathematics 3. Solving Equations and Inequalities Section 3.1 Introduction to Equations Section 3.2 General Equations Section 3.3 Inequalities Focus on Problem Solving: Analyzing Data Projects and Group Activities: Health and Nutrition; The Consumer Price Index 4. Solving Equations and Inequalities: Applications Section 4.1 Translating Sentences into Equations Section 4.2 Integer, Coin, and Stamp Problems Section 4.3 Geometry Problems Section 4.4 Markup and Discount Problems Section 4.5 Investment Problems Section 4.6 Mixture Problems Section 4.7 Uniform Motion Problems Section 4.8 Inequalities Focus on Problem Solving: Trial-and-Error Approach to Problem Solving; Diagramming Problems Projects and Group Activities: Nielsen Ratings; Changes in Percent Concentration 5. Linear Equations and Inequalities Section 5.1 The Rectangular Coordinate System Section 5.2 Graphs of Straight Lines Section 5.3 Slopes of Straight Lines Section 5.4 Equations of Straight Lines Section 5.5 Functions Section 5.6 Graphing Linear Inequalities Focus on Problem Solving: Counterexamples Projects and Group Activities: Graphing Linear Equations with a Graphing Utility; Population Projections 6. Systems of Linear Equations Section 6.1 Solving Systems of Linear Equations by Graphing Section 6.2 Solving Systems of Linear Equations by the Substitution Method Section 6.3 Solving Systems of Linear Equations by the Addition Method Section 6.4 Application Problems in Two Variables Focus on Problem Solving: Using a Table and Searching for a Pattern Projects and Group Activities: Find a Pattern; Break-even Analysis; Solving a System of Equations with a Graphing Calculator 7. Polynomials Section 7.1 Addition and Subtraction of Polynomials Section 7.2 Multiplication of Monomials Section 7.3 Multiplication of Polynomials Section 7.4 Integer Exponents and Scientific Notation Section 7.5 Division of Polynomials Focus on Problem Solving: Dimensional Analysis Projects and Group Activities: Pascal's Triangle; Population and Land Allocation; Properties of Polynomials 8. Factoring Section 8.1 Common Factors Section 8.2 Factoring Polynomials of the Form x2 + bx + c Section 8.3 Factoring Polynomials of the Form ax2 + bx + c Section 8.4 Special Factoring Section 8.5 Solving Equations Focus on Problem Solving: Making a Table; The Trial-and-Error Method Projects and Group Activities: Prime and Composite Numbers; Search the World Wide Web; Problems Involving Falling Objects 9. Rational Expressions Section 9.1 Multiplication and Division of Rational Expressions Section 9.2 Expressing Fractions in Terms of the Least Common Multiple of Their Denominators Section 9.3 Addition and Subtraction of Rational Expressions Section 9.4 Complex Fractions Section 9.5 Equations Containing Fractions Section 9.6 Literal Equations Section 9.7 Application Problems Focus on Problem Solving: Negations and If...then...Sentences; Calculators Projects and Group Activities: Intensity of Illumination; Scale Model of the Solar System 10. Radical Expressions Section 10.1 Introduction to Radical Expressions Section 10.2 Addition and Subtraction of Radical Expressions Section 10.3 Multiplication and Division of Radical Expressions Section 10.4 Solving Equations Containing Radical Expressions Focus on Problem Solving: Deductive Reasoning Projects and Group Activities: Mean and Standard Deviation; Distance to the Horizon; Expressway On-Ramp Curves 11. Quadratic Equations Section 11.1 Solving Quadratic Equations by Factoring or by Taking Square Roots Section 11.2 Solving Quadratic Equations by Completing the Square Section 11.3 Solving Quadratic Equations by Using the Quadratic Formula Section 11.4 Graphing Quadratic Equations in Two Variables Section 11.5 Application Problems Focus on Problem Solving: Applying Algebraic Manipulation and Graphing Techniques to Business Projects and Group Activities: Graphical Solutions of Quadratic Equations; Geometric Construction of Completing the Square Final Exam Appendix: Table of Properties; Calculator Guide for the TI-83 and TI-83 Plus Solutions to Chapter Problems Answers to Selected Exercises Glossary Index
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