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.
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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.
places a greater emphasis on problem solving and
mathematical modeling of real-world applications.
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)
- 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,
features problem sets uniquely organized into discrete
levels of understanding:
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)
- 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)
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.
concludes chapters with a glossary, review of key
concepts, and Check Ups worked examples
stated as problems with specific references. (pp. 323, 324)
(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
Whole number exponents. Negative integer exponents.
Defining, evaluating, and simplifying polynomials. Addition and
subtraction. Multiplication. Special products and order of
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
Greatest common factor and grouping. Factoring binomials.
Factoring trinomials. Summary of factoring. Solving equations by
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.
Answers to Selected Problems.