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Integrated Arithmetic and Basic Algebra, 3/E
Bill E. Jordan, Seminole State College of Florida
William P. Palow, Miami-Dade College

ISBN-10: 0321132262
ISBN-13: 9780321132260

Publisher: Pearson
Copyright: 2005
Format: Paper; 883 pp
Published: 08/02/2004

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Description

A combination of a basic mathematics or prealgebra text and an introductory algebra text, Integrated Arithmetic and Basic Algebra, Third Edition, provides a uniquely integrated presentation of the material for these courses in a way that is extremely beneficial to students. As opposed to traditional texts that present arithmetic at the beginning and algebra at the end, this text integrates the two whenever possible, so that students see how concepts are interrelated rather than learning them in isolation and missing the “big picture.” The ideas and algorithms shared by arithmetic and algebra are introduced in an arithmetic context and then developed through the corresponding algebraic concept. For example, operations with rational numbers and rational expressions are discussed together, whereas most texts discuss operations with rational numbers early on and operations with rational expressions much later. The Jordan/Palow text helps students recognize algebra as a natural extension of arithmetic using variables. This approach aligns directly with NCTM and AMATYC standards, which suggest playing upon students' previous knowledge to teach new concepts.

Features

The unique integration of arithmetic and algebra makes reluctant students more willing to relearn arithmetic because they know that they will see an immediate need for it as they learn the corresponding algebra. Since students are typically more comfortable with arithmetic concepts, the related algebraic concepts are less foreign.

An emphasis on thinking skills and problem solving can be found through a variety of features, such as a problem-solving strategy introduced in Section 3.1, writing exercises, group projects, exercises that require application of skills, and careful attention to the vocabulary and language of mathematics.

Geometry is integrated throughout the text and is emphasized more heavily than in other texts at this level.

More than 1000 practice exercises and additional practice exercises mirror the examples in the text, giving students ample opportunity to reinforce key skills. Answers to all practice exercises are provided at the bottom of the page.

Writing Exercises and Study Tips are provided throughout the text to help students reduce their math anxiety and increase comprehension by writing about mathematics.

Scientific calculators are integrated where appropriate in the form of optional calculator exercises and Calculator Exploration Activities, which are designed to help students discover a property or concept through use of the calculator.

End-of-chapter material includes a summary that covers key ideas, definitions, algorithms, and procedures; review exercises keyed to each section; and a practice free-response chapter test.

New To This Edition

NEW! MyMathLab MyMathLab is a complete online course available for Jordan/Palow. Powered by CourseCompass® and MathXL®, MyMathLab provides a wealth of resources to help students increase comprehension and succeed in their courses. MyMathLab opens the door to a world of dynamic multimedia tools and enables instructors to offer extra practice online for a traditional course or provide an entire course over the Web.

Prerequisite Skills are found at the end of the objectives for every section. This feature lists the skills (as well as where to find them in the text) needed to be successful in the proceeding section.

Table of Contents

(Each Chapter concludes with a Summary, Review Exercises and Test.)

0. Basic Ideas.

Reading and Writing Numerals.

Addition and Subtraction of Whole Numbers.

Multiplication of Whole Numbers.

Division of Whole Numbers.

A Brief Introduction to Fractions.

Addition and Subtraction of Decimal Numerals.

Multiplication and Division of Decimal Numerals.

1. Addition and Subtraction of Integers and Polynomials.

Variables, Exponents and Order of Operations.

Unit Conversions and Perimeters of Geometric Figures.

Areas of Geometric Figures.

Volumes and Surface Area of Geometric Figures.

Introduction to Integers.

Addition of Integers.

Subtraction of Integers and Combining Like Terms.

Polynomial Definitions and Combining Polynomials.

2. Laws of Exponents, Products and Quotients of Polynomials.

Multiplication of Integers.

Multiplication Laws of Exponents.

Products of Polynomials.

Special Products.

Division of and Order of Operations with Integers.

Quotient Rule and Integer Exponents.

Power Rule for Quotients and Using Combined Laws of Exponents.

Division of Polynomials by Monomials.

An Application of Exponents: Scientific Notation.

3. Linear Equations and Inequalities.

Addition Property of Equality.

Multiplication Property of Equality.

Combining Properties in Solving Linear Equations.

Using and Solving Formulas.

Solving Linear Inequalities.

Traditional Applications Problems.

More Traditional Applications Problems.

Geometric Applications Problems.

Using and Solving Formulas.

4. Graphing Linear Equations and Inequalities.

Ordered Pairs and Solutions of Linear Equations with Two Variables.

Graphing Linear Equations with Two Variables.

Graphing Linear Equations using Intercepts.

Slope - Intercept Form of a Line.

Point - Slope Form of a Line.

Graphing Linear Inequalities with Two Variables.

Relations and Functions.

5. Systems of Linear Equations.

Defining Linear Systems and Solving by Graphing.

Solving Linear Systems of Equations Using Elimination by Addition.

Solving Systems of Linear Equations Using Substitution.

Applications Using Systems of Linear Equations.

Systems of Linear Inequalities.

6. Factors, Divisors, and Factoring.

Introduction.

Prime Factorization and Greatest Common Factor.

Factoring Polynomials with Common Factors and by Grouping.

Factoring General Trinomials with Leading Coefficient of One.

Factoring General Trinomials with First Coefficient Other Than One.

Factoring Binomials.

Factoring Perfect Square Trinomials.

Mixed Factoring.

Solving Quadratic Equations by Factoring.

7. Multiplication and Division of Rational Numbers and Expressions.

Fractions and Rational Numbers.

Reducing Rational Numbers and Rational Expressions.

Further Reduction of Rational Expressions.

Multiplication of Rational Numbers and Expressions.

Further Multiplication of Rational Expressions.

Division of Rational Numbers and Expressions.

Division of Polynomials (Long Division).

8. Addition and Subtraction of Rational Numbers and Expressions.

Addition and Subtraction of Rational Numbers and Expressions with Like Denominators.

Least Common Multiple and Equivalent Rational Expressions.

The Least Common Denominator of Fractions and Rational Expressions.

Addition and Subtraction of Rational Numbers and Expressions with Unlike Denominators.

Complex Fractions.

Solving Equations Containing Rational Numbers and Expressions.

9. Rates, Percents, and Applications.

Ratios and Rates

Proportions

Percent

Applications of Percent

Further Applications of Percent

10. Roots and Radicals

Defining and Finding Roots

Simplifying Radicals

Products and Quotients of Radicals

Addition, Subtraction, and Mixed Operations with Radicals

Rationalizing the Denominator

Solving Equations with Radicals

Pythagorean Theorem

11. Solving Quadratic Equations.

Solving Incomplete Quadratic Equations.

Solving Quadratic Equations by Completing the Square.

Solving Quadratic Equations by the Quadratic Formula.

Solving Mixed Equations.

Applications Involving Quadratic Equations.

Table 1. Powers and Roots.

Answers for Odd Numbered Exercises.

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Integrated Arithmetic and Basic Algebra, 3/E