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Integrated Arithmetic and Basic Algebra, 4/E
Bill E. Jordan, Seminole Community College
William P. Palow, Miami-Dade College

ISBN-10: 0321442555
ISBN-13: 9780321442550

Publisher: Addison-Wesley
Copyright: 2009
Format: Paper; 1032 pp
Published: 10/23/2007

Suggested retail price: $130.67
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Integrated Arithmetic and Basic Algebra, Fourth Edition, integrates arithmetic and algebra to allow students to see the big picture of math. Rather than separating these two subjects, this text helps students recognize algebra as a natural extension of arithmetic. As a result, students see how concepts are interrelated and are better prepared for future courses.

  • Unique integration of arithmetic and algebra helps students in two ways: they learn new algebra concepts in the familiar context of arithmetic operations, and they see common patterns between the two subjects.
  • NEW! Annotated Instructor’s Edition shows all answers next to the exercises and contains helpful new Teaching Tips in the margin.
  • 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. All exercise sets include:
    • Writing Exercises
    • Challenge Exercises
    • Group Activities
  • Example explanations describe the operation that will be done to get to the next step, instead of what was done, as in most texts. This approach allows students to work out the example problems for themselves while using the descriptions as a guide. Each example is followed by Practice Exercises and Additional Practice Exercises.
  • Prerequisite Skills needed to be successful are now listed at the end of section objectives and include text references to allow students to strengthen these skills.
  • NEW! Getting Ready exercises open each section and are based on the list of Prerequisite Skills.
  • An emphasis on thinking skills and problem solving can be found in a variety of features: problem-solving strategies introduced in Section 3.1, writing exercises, group projects, exercises that require application of skills, and careful attention to the language of mathematics.
  • Note boxes call out additional information, explanations, or observations about the concept just discussed and Be Careful boxes appear throughout the text to warn students about common errors.
  • Study Tips are provided throughout the text to help students reduce their math anxiety.
  • 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.

New and Updated Features:

  • The new Annotated Instructor’s Edition shows all answers next to the exercises and contains helpful new Teaching Tips in the margin.
  • The six-step problem-solving procedure has been expanded and helps students develop good habits early on, so they can be ready to tackle more difficult topics later in the course.
  • Getting Ready exercises open each section and are based on the list of Prerequisite Skills.
  • Redesigned chapter summaries include examples for new concepts. The concise, easy-to-read table format is more focused to help in exam preparation.
  • More study tips help with test preparation and increase student comprehension.
  • Updated applications include more real data to help students relate the material to their lives and to keep them engaged in the learning process.

 

Content Updates:

  • Systems of Linear Equations have been moved from Chapter 5 to Chapter 9 based on instructors’ requests.
  • Unit Conversions have been moved from Chapter 1 to Chapter R (formerly Chapter 0).

R. Basic Ideas

R.1 Reading and Writing Numerals

R.2 Addition and Subtraction of Whole Numbers

R.3 Multiplication of Whole Numbers

R.4 Division of Whole Numbers

R.5 A Brief Introduction to Fractions

R.6 Addition and Subtraction of Decimal Numerals

R.7 Multiplication and Division of Decimal Numerals

R.8 Linear Measurement in the American and Metric Systems [new section]

 

1. Adding and Subtracting Integers and Polynomials

1.1 Variables, Exponents, and Order of Operations

1.2 Perimeters of Geometric Figures

1.3 Areas of Geometric Figures

1.4 Volumes and Surface Areas of Geometric Figures

1.5 Introduction to Integers

1.6 Addition of Integers

1.7 Subtraction of Integers and Combining Like Terms

1.8 Polynomial Definitions and Combining Polynomials

 

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

2.1 Multiplication of Integers

2.2 Multiplication Laws of Exponents

2.3 Products of Polynomials

2.4 Special Products

2.5 Division of Integers and Order of Operations with Integers

2.6 Quotient Rule and Integer Exponents

2.7 Power Rule for Quotients and Using Combined Laws of Exponents

2.8 Division of Polynomials by Monomials

2.9 An Application of Exponents: Scientific Notation

 

3. Linear Equations and Inequalities

3.1 Addition Property of Equality

3.2 Multiplication Property of Equality

3.3 Combining Properties in Solving Linear Equations

3.4 Using and Solving Formulas

3.5 Solving Linear Inequalities

3.6 General, Consecutive Integer, and Distance Application Problems

3.7 Money, Investment, and Mixture Application Problems

3.8 Geometric Application Problems

 

4. Graphing Linear Equations and Inequalities

4.1 Reading Graphs and the Cartesian Coordinate System

4.2 Graphing Linear Equations with Two Variables

4.3 Graphing Linear Equations by Using Intercepts

4.4 Slope of a Line

4.5 Slope-Intercept Form of a Line

4.6 Point-Slope Form of a Line

4.7 Graphing Linear Inequalities with Two Variables

4.8 Relations and Functions

 

5. Factors, Divisors, and Factoring

5.1 Prime Factorization and Greatest Common Factor

5.2 Factoring Polynomials with Common Factors and by Grouping

5.3 Factoring General Trinomials with Leading Coefficients of One

5.4 Factoring General Trinomials with Leading Coefficient Other Than One

5.5 Factoring Binomials

5.6 Factoring Perfect Square Trinomials

5.7 Mixed Factoring

5.8 Solving Quadratic Equations by Factoring

 

6. Multiplication and Division of Rational Numbers and Expressions

6.1 Fractions and Rational Numbers

6.2 Reducing Rational Numbers and Rational Expressions

6.3 Further Reduction of Rational Expressions

6.4 Multiplication of Rational Numbers and Expressions

6.5 Further Multiplication of Rational Expressions

6.6 Division of Rational Numbers and Expressions

6.7 Division of Polynomials (Long Division)

 

7. Addition and Subtraction of Rational Numbers and Expressions

7.1 Addition and Subtraction of Rational Numbers and Expression with Like Denominators

7.2 Least Common Multiple and Equivalent Rational Expressions

7.3 The Least Common Denominator of Fractions and Rational Expressions

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

7.5 Complex Fractions

7.6 Solving Equations Containing Rational Numbers and Expressions

7.7 Applications with Rational Expressions

 

8. Ratios, Percents, and Applications

8.1 Ratios and Rates

8.2 Proportions

8.3 Percent

8.4 Applications of Percent

8.5 Further Applications of Percent

 

9. Systems of Linear Equations

9.1 Defining Linear Systems and Solving by Graphing

9.2 Solving Systems of Linear Equations Using Elimination by Addition

9.3 Solving Systems of Linear Equations Using Substitution

9.4 Solving Application Problems Using Systems of Equations

9.5 Systems of Linear Inequalities

 

10. Roots and Radicals

10.1 Defining and Finding Roots

10.2 Simplifying Radicals

10.3 Products and Quotients of Radicals

10.4 Addition, Subtraction, and Mixed Operations with Radicals

10.5 Rationalizing the Denominator

10.6 Solving Equations with Radicals

10.7 Pythagorean Theorem

 

11. Solving Quadratic Equations

11.1 Solving Incomplete Quadratic Equations

11.2 Solving Quadratic Equations by Completing the Square

11.3 Solving Quadratic Equations by the Quadratic Formula

11.4 Quadratic Equations with Complex Solutions

11.5 Solving Mixed Equations

11.6 Applications Involving Quadratic Equations

 

    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.

  • 0321132262Integrated Arithmetic and Basic Algebra, 3/E
    Jordan & Palow
    © 2005 | Addison-Wesley | Paper; 883 pages | Instock
    ISBN-10: 0321132262 | ISBN-13: 9780321132260
    Brief Description

For Basic Mathematics


  • Trigonometry, 2/E
    Beecher, Penna & Bittinger
    © 2008 | Addison-Wesley | Paper; 272 pages | Instock
    ISBN-10: 0321536304 | ISBN-13: 9780321536303


For Beginning Algebra


  • Trigonometry, 2/E
    Beecher, Penna & Bittinger
    © 2008 | Addison-Wesley | Paper; 272 pages | Instock
    ISBN-10: 0321536304 | ISBN-13: 9780321536303


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