Prealgebra and Introductory Algebra, 4th edition

Published by Pearson (December 24, 2014) © 2016

  • Marvin L. Bittinger Indiana University Purdue University Indianapolis
  • David J. Ellenbogen Community College of Vermont
  • Judith A. Beecher Indiana University Purdue University Indianapolis
  • Barbara L. Johnson Indiana University Indianapolis

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Objective: Guided Learning

The Bittinger Worktext Series recognizes that math hasn’t changed, but students—and the way they learn math—have. This latest edition continues the Bittinger tradition of objective-based, guided learning, while also integrating timely updates to the proven pedagogy. This edition has a greater emphasis on guided learning and helping students get the most out of all of the resources available, including new mobile learning resources, whether in a traditional lecture, hybrid, lab-based, or online course.

The new edition supports students with quality applications and exercises, a new MyMathGuide workbook and video program, and an updated MyMathLab course that brings it all together!

Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. If you would like to purchase both the physical text and MyMathLab, search for:

0134115945 / 9780134115948     Prealgebra and Introductory Algebra Plus MyMathLab with Pearson eText
Package consists of:0321431308 / 9780321431301     MyMathLab -- Glue-in Access Card
0321654064 / 9780321654069     MyMathLab Inside Star Sticker0321997166 / 9780321997166     Prealgebra and Introductory Algebra

Students, if interested in purchasing this title with MyMathLab, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.

Guide Students’ Learning—Students are encouraged to use Your Guide to Success in Math, a four-step Learning Path and checklist available in the front of the text and incorporated into the Ready to Go MyMathLab courses. The guide will help students identify the resources in the textbook, supplements, and MyMathLab that support their learning style.

  • Step 1: Learn the Skills and Concepts—Students have several options for learning and practicing the math concepts.
    • NEW!Skills Checks. In the Learning Path for Ready to Go MyMathLab courses, each chapter begins with a brief assignment on the prerequisite skills needed for the chapter, giving students the chance to refresh and practice.
    • Textbook / eText. The textbook or eText is a great starting point for students to learn the material. It includes the hallmark Bittinger pedagogy with Skill to Review exercises at the start of each section, and  Margin Exercises, plus NEW! Guided Solutions. The Guided Solution exercises are select margin exercises within the text that allow students to fill-in the blanks to learn how to work through the problem. These problem types are also assignable in MyMathLab, where the exercises are broken down into smaller steps for students to fill-in as they work through the problem.
    • The NEW! To-the-Point Objective Videos and NEW! MyMathGuide: Notes, Practice, and Video Path workbook are also the perfect resources for helping students learn the material.
  • Step 2: Check Your Understanding—Students have frequent opportunities to check their work and confirm that they understand skills and concepts before moving on:
    • NEW!Reading Checks at the beginning of each set of section exercises in the text ask students to demonstrate that they understand the material. They are incorporated in the Ready to Go Learning Path in MyMathLab and assignable in MyMathLab.
    • NEW! Active Learning Figuresare also a great resource to help students understand the concepts.
  • Step 3: Do Your Homework—The text andMyMathLab courses have a wealth of proven and updated exercises, including the new assignable exercises in MyMathLab described above.
  • Step 4: Review and Test Your Understanding—Students have a variety of resources to check their skills and understanding along the way and to help them prepare for tests.
    • In the text, Mid-Chapter Reviews, Chapter Summary and Review, Chapter Tests, and Cumulative Reviewsoffer students regular, comprehensive review and reinforcement.  Chapter Test Prep Videos are also available to show worked-out solutions to all the end-of-chapter tests. These are accessible in MyMathLab and on YouTube.
    • In MyMathLab, instructors can assign prebuilt tests or create paper tests using TestGen Software.

Reinforce Study Skills—Developing solid time-management, note-taking, test-taking, and other study skills is key to student success in math courses (as well as professionally and personally). Instructors can direct students to related study skills resources as needed.

  • NEW!Student Study Reference. This pull-out card at the front of the text is perforated, three-hole-punched, and binder-ready for convenient reference. It includes Your Guide to Success in Math course checklist, Student Organizer, and At a Glance (a list of key information and expressions for quick reference as students work exercises and review for tests).
  • NEW!Studying for Success. Checklists of study skills—designed to ensure that s
Guide Students’ Learning
  • Skills Checks. In the Learning Path for Ready to Go MyMathLab courses, each chapter begins with a brief assignment on the prerequisite skills needed for the chapter, giving students the chance to refresh and practice.
  • To-the-Point Objective Videos and MyMathGuide: Notes, Practice, and Video Path workbook are also the perfect resources for helping students learn the material.
  • Reading Checks at the beginning of each set of section exercises in the text ask students to demonstrate that they understand the material. They are incorporated in the Ready to Go Learning Path in MyMathLab and assignable in MyMathLab.
  • Active Learning Figuresare also a great resource to help students understand the concepts.

Reinforce Study Skills

  • Student Study Reference. This pull-out card at the front of the text is perforated, three-hole-punched, and binder-ready for convenient reference. It includes Your Guide to Success in Math course checklist, Student Organizer, and At a Glance (a list of key information and expressions for quick reference as students work exercises and review for tests).
  • Studying for Success. Checklists of study skills—designed to ensure that students develop the skills they need to succeed in math, school, and life—are integrated throughout the text at the beginning of selected sections.
  • Student Success Module in MyMathLab. This new, interactive module is available in the left-hand navigation of MyMathLab and includes videos, activities, and post-tests for these three student success areas:
    • Math-Reading Connections, including topics such as Using Word Clues, and Looking for Patterns.
    • Study Skills, including topics such as Time Management and Preparing for and Taking Exams.
    • College Success, including topics such as College Transition and Online Learning.
    • Instructors can assign these videos and/or activities as media assignments, along with pre-built post-tests to make sure students learn and understand how to improve their skills in these areas. Instructors can integrate these assignments with their traditional MyMathLab homework assignments to incorporate student success topics into their course as they deem appropriate.

Also Available with MyMathLab®: the Bittinger courses include all of MyMathLab’s robust features, plus these additional highlights.

  • Two MyMathLab course options are now available:
    • Standard MyMathLab courses allow instructors to build their courses their way, offering maximum flexibility and control over all aspects of assignment creation. 
    • Ready to Go courses provide students with all the same great MyMathLab features, but also make it easier for instructors to get started with pre-built AND pre-assigned assignments. The Ready to Go courses also feature a new four-step Learning Path: 1.) Learn the Skills and Concepts, 2.) Check Your Understanding, 3.) Do Your Homework, 4.) Review and Test Your Understanding.
  • Increased coverage of skill-building, conceptual, and applications exercises, as well as new assignable Guided-Solution exercises, Skill Checks (in the Ready to Go courses), and Reading Checks.
  • Active Learning Figures, available for key concepts, foster conceptual understanding and are especially helpful for visual and tactile learners. Instructors can create media assignments with the figures.
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1. Whole Numbers

1.1 Standard Notation

1.2 Addition

1.3 Subtraction

1.4 Multiplication

1.5 Division

1.6 Rounding and Estimating; Order

1.7 Solving Equations

1.8 Applications and Problem Solving

1.9 Exponential Notation and Order of Operations

 

2. Introduction to Integers and Algebraic Expressions

2.1 Integers and the Number Line

2.2 Addition of Integers

2.3 Subtraction of Integers

2.4 Multiplication of Integers

2.5 Division of Integers and Order of Operations

2.6 Introduction to Algebra and Expressions

2.7 Like Terms and Perimeter

2.8 Solving Equations

 

3. Fraction Notation: Multiplication and Division

3.1 Multiples and Divisibility

3.2 Factorizations

3.3 Fractions and Fraction Notation

3.4 Multiplication and Applications

3.5 Simplifying

3.6 Multiplying, Simplifying, and More with Area

3.7 Reciprocals and Division

3.8 Solving Equations: The Multiplication Principle

 

4. Fraction Notation: Addition, Subtraction, and Mixed Numerals

4.1 Least Common Multiples

4.2 Addition, Order, and Applications

4.3 Subtraction, Equations, and Applications

4.4 Solving Equations: Using the Principles Together

4.5 Mixed Numerals

4.6 Addition and Subtraction of Mixed Numerals; Applications

4.7 Multiplication and Division of Mixed Numerals; Applications

4.8 Order of Operations and Complex Fractions

 

5. Decimal Notation

5.1 Decimal Notation, Order, and Rounding

5.2 Addition and Subtraction of Decimals

5.3 Multiplication of Decimals

5.4 Division of Decimals

5.5 Using Fraction Notation with Decimal Notation

5.6 Estimating

5.7 Solving Equations

5.8 Applications and Problem Solving

 

6. Percent Notation

6.1 Ratio and Proportion

6.2 Percent Notation

6.3 Percent Notation and Fraction Notation

6.4 Solving Percent Problems Using Percent Equations

6.5 Solving Percent Problems Using Proportions

6.6 Applications of Percent

6.7 Sales Tax, Commission, and Discount

6.8 Simple Interest and Compound Interest; Credit Cards

 

7. Data, Graphs, and Statistics

7.1 Averages, Medians, and Modes

7.2 Interpreting Data from Tables and Graphs

7.3 Interpreting and Drawing Bar Graphs and Line Graphs

7.4 Interpreting and Drawing Circle Graphs

 

8. Geometry

8.1 Basic Geometric Figures

8.2 Perimeter

8.3 Area

8.4 Circles

8.5 Volume and Surface Area

8.6 Relationships between Angle Measures

8.7 Congruent Triangles and Properties of Parallelograms

8.8 Similar Triangles

 

9. Introduction to Real Numbers and Algebraic Expressions

9.1 Introduction to Algebra

9.2 The Real Numbers

9.3 Addition of Real Numbers

9.4 Subtraction of Real Numbers

9.5 Multiplication of Real Numbers

9.6 Division of Real Numbers

9.7 Properties of Real Numbers

9.8 Simplifying Expressions; Order of Operations

 

10. Solving Equations and Inequalities

10.1 Solving Equations: The Addition Principle

10.2 Solving Equations: The Multiplication Principle

10.3 Using the Principles Together

10.4 Formulas

10.5 Applications of Percent

10.6 Applications and Problem Solving

10.7 Solving Inequalities

10.8 Applications and Problem Solving with Inequalities

 

11. Graphs of Linear Equations

11.1 Graphs and Applications of Linear Equations

11.2 More with Graphing and Intercepts

11.3 Slope and Applications

11.4 Equations of Lines

11.5 Graphing Using the Slope and the y-Intercept

11.6 Parallel and Perpendicular Lines

11.7 Graphing Inequalities in Two Variables

 

12. Polynomials: Operations

12.1 Integers as Exponents

12.2 Exponents and Scientific Notation

12.3 Introduction to Polynomials

12.4 Addition and Subtraction of Polynomials

12.5 Multiplication of Polynomials

12.6 Special Products

12.7 Operations with Polynomials in Several Variables

12.8 Division of Polynomials

 

13. Polynomials: Factoring

13.1 Introduction to Factoring

13.2 Factoring Trinomials of the Type x2 + bx + c

13.3 Factoring ax2 + bx + c, a ≠ 1: The FOIL Method

13.4 Factoring ax2 + bx + c, a ≠ 1: The ac-Method

13.5 Factoring Trinomial Squares and Differences of Squares

13.6 Factoring: A General Strategy

13.7 Solving Quadratic Equations by Factoring

13.8 Applications of Quadratic Equations

 

14. Rational Expressions and Equations

14.1 Multiplying and Simplifying Rational Expressions

14.2 Division and Reciprocals

14.3 Least Common Multiples and Denominators

14.4 Adding Rational Expressions

14.5 Subtracting Rational Expressions

14.6 Complex Rational Expressions

14.7 Solving Rational Equations

14.8 Applications Using Rational Equations and Proportions

14.9 Direct Variation and Inverse Variation

 

15. Systems of Equations

15.1 Systems of Equations in Two Variables

15.2 The Substitution Method

15.3 The Elimination Method

15.4 Applications and Problem Solving

15.5 Applications with Motion

 

16. Radical Expressions and Equations

16.1 Introduction to Radical Expressions

16.2 Multiplying and Simplifying with Radical Expressions

16.3 Quotients Involving Radical Expressions

16.4 Addition, Subtraction, and More Multiplication

16.5 Radical Equations

16.6 Applications with Right Triangles

 

17. Quadratic Equations

17.1 Introduction to Quadratic Equations

17.2 Solving Quadratic Equations by Completing the Square

17.3 The Quadratic Formula

17.4 Formulas

17.5 Applications and Problem Solving

17.6 Graphs of Quadratic Equations

17.7 Functions

 

Appendices

A. Linear Measures: American Units and Metric Units

B. Weight and Mass; Medical Applications

C. Capacity; Medical Applications

D. Time and Temperature

E. Sets

F. Factoring Sums or Differences of Cubes

G. Finding Equations of Lines: Point—Slope Equation

H. Equations Involving Absolute Value

I. The Distance Formula and Midpoints

J. Higher Roots, and Rational Numbers as Exponents

K. Inequalities and Interval Notation

L. Nonlinear Inequalities

M. Systems of Linear Inequalities

N. Probability

O. The Complex Numbers

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