[Book Cover]

Beginning Algebra with Applications, 2/e

Linda Exley, DeKalb College
Vincent Smith, DeKalb College

Published December, 1993 by Prentice Hall Engineering/Science/Mathematics

Copyright 1994, 568 pp.
Cloth
ISBN 0-13-067257-2


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Summary

A text which students can actually READ and use to learn beginning algebra — and which instructors can use as a genuinely supportive framework from which to teach algebra — Beginning Algebra with Applications features an easy-to-read presentation, an emphasis on problem-solving skills, a wealth of well-chosen, illustrative examples, and uniquely structured problem sets.

Features


places a greater emphasis on problem solving and mathematical modeling of real-world applications.

  • includes “You Decide” problems at the end of each chapter. These open-ended, extended real-world applications help students develop critical thinking and writing skills. Because these problems have no one correct answer, students are able to hone their problem-solving and decision-making skills by deciding upon and then supporting their answer with specific evidence. (pp. 109)
  • contains more word problems throughout. (pp. 203)
  • revises applications to reflect a more current, realistic context.
begins each chapter with “Connections” — an introductory paragraph which puts the upcoming material in context with other chapters, other disciplines, math history and the real world. (pp. 233)
features problem sets uniquely organized into discrete levels of understanding:
  • Warm-Ups — carefully graded and keyed specifically to examples in the section. (pp. 242)
  • Practice — mixed, and not referenced to any examples. (pp. 243)
  • Challenge — probe natural extensions of the topics. (pp. 243)
  • In Your Own Words — test conceptual understanding by requiring a written answer. (pp. 243)
highlights “key” problems in red throughout the exercise sets. These are considered to be essential problems which, if assigned, will cover all the section learning objectives. They can be used in class examples, problem assignments, or for review. Answers are provided at the end of the text. (pp. 250)
features “Let's Not Forget” problems at the end of every chapter review problem set. These exercises are cumulative and require students to review topics covered in previous sections and chapters. (pp. 326)
provides “Be Careful” annotations in the margins — to prominently point out common student errors. (pp. 314)
concludes chapters with a glossary, review of key concepts, and “Check Ups” — worked examples stated as problems with specific references. (pp. 323, 324)


Table of Contents
(NOTE: Each chapter concludes with Chapter Summary, Review Problems, Chapter Test.)
    0. Reviewing Arithmetic and Geometry.

      Order of operations. Fractions. Decimals and percents. Angles, lines, plane figures.

    1. Real Numbers.

      Sets of numbers. Addition. Subtraction. Multiplication and division. Expressions. Properties of real numbers. The language of algebra. Equations.

    2. Polynomials.

      Whole number exponents. Negative integer exponents. Defining, evaluating, and simplifying polynomials. Addition and subtraction. Multiplication. Special products and order of operations. Division.

    3. Linear Equations and Inequalities in One Variable.

      Linear equations. Linear equations with grouping symbols or fractional coefficients. Literal equations and formulas. Linear equations as models. Linear inequalities. Linear inequalities as models.

    4. Factoring.

      Greatest common factor and grouping. Factoring binomials. Factoring trinomials. Summary of factoring. Solving equations by factoring. Applications.

    5. Rational Expressions.

      Rational expressions. Fundamental principle of rational expressions. Multiplication and division. Addition and subtraction. Complex fractions. Fractional equations. Ratio and proportion, similar triangles, and other applications.

    6. Linear Equations and Inequalities in Two Variables.

      The graph of Ax + By = C. Slope. Equations of lines. Inequalities in two variables. Functions (optional).

    7. Systems of Linear Equations and Inequalities.

      Graphical method. Substitution. Elimination. Applications. Systems of linear inequalities in two variables.

    8. Roots and Radicals.

      Definitions. Simplifying radicals. Addition and subtraction of radicals. Multiplication and division of radicals. Equations containing square roots. Rational exponents.

    9. Quadratic Equations.

      Square root property. Completing the square. The quadratic formula. Quadratic equations with complex solutions. Summary of solving quadratic equations. Graphing quadratic functions.

    Photo Credits.
    Answers to Selected Problems.
    Index.


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