Developmental Mathematics: Basic Mathematics and Algebra

Series
Pearson
Author
Margaret L. Lial / John Hornsby / Terry McGinnis / Stanley A. Salzman / Diana L. Hestwood  
Publisher
Pearson
Cover
Softcover
Edition
3
Language
English
Total pages
1368
Pub.-date
January 2013
ISBN13
9780321854469
ISBN
0321854462



Description

The Support You Need to Succeed…Even On the Go!

 

The Lial Series has helped thousands of students succeed in developmental mathematics by providing the best learning and teaching support to students and instructors. With the new editions, the approachable writing and pedagogy, varied exercise sets, and robust ancillary resources have been updated. A tightly integrated MyMathLab course, new Lial Video Library, and fresh, interactive PowerPoint slides meet the changing needs of today’s students and instructors…even on the go!

 

Teaching and Learning Experience

To provide a better teaching and learning experience, for both instructors and students, this program will:

  • Improve Results: MyMathLab delivers proven results in helping students succeed and provides engaging experiences that personalize learning.
  • Drive Student Success: The Lial team combines approachable writing with supportive pedagogy, ample exercise sets, and extensive end of chapter material to ensure student success.
  • Support Students and Instructors: Beyond the core support in the text and MyMathLab, the program offers additional supplemental student and instructor support.

 

Features

IMPROVE RESULTS

MyMathLab delivers proven results in helping students succeed and provides engaging experiences that personalize learning. The Lial courses include all of MyMathLab’s robust features, plus these additional highlights:

  • NEW! Two MyMathLab course options are now available:
    • Standard MyMathLab courses allow instructors to build their course their way, offering maximum flexibility and control over all aspects of assignment creation.
    • New Ready-to-Go courses provide students with all the same great MyMathLab features, but make it easier for instructors to get started.
      • Both Lial course options include a pre-made pre- and post- test for every chapter, section-level homework with Guided Solutions exercises, and chapter review quiz linked to personalized homework. These items are also pre-assigned in the Ready-to-Go courses.
  • NEW! Guided Solution Exercises in the text margins and exercise sets guide students through the first few solution steps and are marked with a GS icon. To take this a step further, these new types of exercises are assignable in MyMathLab.
  • NEW! The Lial Video Library includes the following resources, which all offer optional English and Spanish captioning:
    • Section Lecture Videos offer a new navigation menu by example and objective.
    • Solutions Clips for select exercises marked with a Play Button icon in the text and eText show an instructor working through complete solutions.
    • Quick Review Lectures provide a summary of key concepts for each chapter.
    • Chapter Test Prep Videos show solutions for Chapter Test exercises. They are also accessible by the Quick Response (QR) code on the inside back cover of the book or on YouTube.
  • UPDATED AND EXPANDED! PowerPoint® slides include an objective based presentation; a fresh, interactive, animated design; Caution Notes; and are available for viewing on tablets. They serve as an effective Self-Study or Lecture Replacement Resource for students in traditional, hybrid, lab-based, or online courses. These are available in MyMathLab to both students and instructors and are assignable as a media assignment.
  • NEW! MySlideNotes files are posted in MyMathLab and available to be printed.
  • NEW! Assignable Study Skills and Reading Connection material has been added.
  • NEW! Improved parallel matched exercises offer more equivalent odd and even exercises for easier assignment creation.
  • Interactive Test Your Word Power exercises help students master math vocabulary.
  • NEW! Accessibility enhancements continue Pearson’s commitment to make products accessible to as many students as possible. This latest course release is compatible with the JAWS screen reader, enabling print-disabled students to access and interact with numerous problems as noted by an icon within the assignment manager. The course also works with the ZoomText enlarger, and includes an HTML eBook that is compatible with JAWS and other Windows screen readers, allowing all students to access the same text, at the same place, and at the same price. Additionally, all videos include subtitles.

 

DRIVE STUDENT SUCCESS

Supportive pedagogy, ample exercises, and extensive end-of-chapter material ensure success.

  • Learning Objectives are stated for each section, and material is organized by objective.
  • NEW! Examples and exercises have been adjusted or replaced with current data. Applications put math in context to motivate students and were updated to cover a wider variety of topics, including technology, ecology, and health sciences.
  • An emphasis on problem solving is introduced and integrated as a six-step process.
  • Margin Problems allow students to immediately practice the example material and check their answer at the bottom of the page in preparation for the exercise sets.
  • NEW! Guided Solutions in margins and exercise sets, marked with a GS and assignable in MyMathLab, show the first steps to guide students as they learn a new procedure.
  • NEW! Vocabulary Tips in the margins of the first few chapters help students learn root words and prefixes.
  • Summary Exercises are a mid-chapter review included in every chapter.
  • Pointers within examples, Cautions (highlighted in yellow) and Notes (highlighted in blue) provide students with important, on-the spot information.
  • Study Skills activities provide students with proven strategies for learning math.
  • Math in the Media activities show relevance and work well for collaboration or discussions.
  • Varied problems in end-of-section exercise sets include skill, writing, estimation, calculator, applications, and correct-the-error.
  • NEW! Concept Checks at the start of exercise sets ensure students have the skills to proceed, and later help students consolidate learning by writing, correcting errors, and practicing processes.
  • Relating Concepts exercises help students tie concepts together and make good group activities.
  • Solutions to exercises marked with a blue square are included in the back of the book to provide easily accessible step-by-step help in solving the most commonly missed exercises.
  • Chapter Summary includes terms with definitions and graphics, New Formulas and Symbols, Test Your Word Power, and Quick Review for each section with extra examples.
  • Chapter Test allows students to prepare for the real thing. Students can watch an instructor work out the full solutions to the problems in the Chapter Test Prep Videos.

 

SUPPORT STUDENTS AND INSTRUCTORS

Beyond the robust core text and MyMathLab support, the program offers additional support resources.

 

For Students

  • NEW! MyWorkBook can be accessed within MyMathLab or packaged with the text or MyMathLab code, and provides the following resources for every section:
    • Key vocabulary terms, and vocabulary practice problems
    • Guided Examples and similar Practice Exercises, keyed to the text Objectives
    • References to Examples, Section Lecture Videos, and Solutions Clips for more help
    • Additional Practice Exercises with ample space for students to show their work
  • NEW! The MySlideNotes notebook provides a note-taking tool based on the PowerPoint slides that accompany your text.
    • Extra examples let students apply the concepts and procedures on the slides.
    • Guided solutions break problems into small, manageable steps.
    • Vocabulary practice ensures that students have a firm grasp of the key new terms.
  • Student’s Solutions Manual contains solutions to odd-numbered section exercises and all margin exercises, Relating Concepts, Summary, Chapter and Cumulative Review, and Chapter Test exercises.

 

For Instructors

  • NEW! Vocabulary and Teaching Tips have been added to margins of the Annotated Instructor’s Edition to help new and experienced instructors with class prep.
  • The Instructor’s Resource Manual includes Mini-Lectures to provide new instructors with objectives, key examples, and teaching tips for every section of the text.
  • The Instructor’s Solutions Manual provides solutions to all exercises in the text.

 

New to this Edition

IMPROVE RESULTS

The Lial courses include all of MyMathLab’s robust features, plus these additional NEW highlights:

  • Two MyMathLab course options are now available:
    • Standard MyMathLab courses allow instructors to build their course their way, offering maximum flexibility and control over all aspects of assignment creation.
    • New Ready-to-Go courses provide students with all the same great MyMathLab features, but make it easier for instructors to get started.
      • Both Lial course options include a pre-made pre- and post- test for every chapter, section-level homework with Guided Solutions exercises, and chapter review quiz linked to personalized homework.  These items are also pre-assigned in the Ready-to-Go courses.
  • Guided Solution Exercises in the text margins and exercise sets guide students through the first few solution steps and are marked with a GS icon. To take this a step further, these new types of exercises are assignable in MyMathLab.
  • The Lial Video Library includes the following resources, which all offer optional English and Spanish captioning:
    • Section Lecture Videos offer a new navigation menu by example and objective.
    • Solutions Clips for select exercises marked with a Play Button icon in the text and eText show an instructor working through complete solutions.
    • Quick Review Lectures provide a summary of key concepts for each chapter.
    • Chapter Test Prep Videos show solutions for Chapter Test exercises. They are also accessible by the Quick Response (QR) code on the inside back cover of the book or on YouTube.
  • UPDATED AND EXPANDED! PowerPoint® slides include an objective based presentation; a fresh, interactive, animated design; Caution Notes; and are available for viewing on tablets. They serve as an effective Self-Study or Lecture Replacement Resource for students in traditional, hybrid, lab-based, or online courses. These are available in MyMathLab to both students and instructors and are assignable as a media assignment.
  • MySlideNotes files are posted in MyMathLab and available to be printed.
  • Assignable Study Skills and Reading Connection material has been added.
  • Improved parallel matched exercises offer more equivalent odd and even exercises for easier assignment creation.
  • Accessibility enhancements continue Pearson’s commitment to make products accessible to as many students as possible. This latest course release is compatible with the JAWS screen reader, enabling print-disabled students to access and interact with numerous problems as noted by an icon within the assignment manager. The course also works with the ZoomText enlarger, and includes an HTML eBook that is compatible with JAWS and other Windows screen readers, allowing all students to access the same text, at the same place, and at the same price. Additionally, all videos include subtitles.

 

DRIVE STUDENT SUCCESS

NEW features to supportive pedagogy, ample exercise sets, and extensive end-of-chapter material ensure success.

  • Examples and exercises have been adjusted or replaced with current data. Applications put math in context to motivate students and were updated to cover a wider variety of topics, including technology, ecology, and health sciences.
  • Vocabulary Tips in the margins of the first few chapters help students learn root words and prefixes.
  • Guided Solutions in margins and exercise sets, marked with a GS and assignable in MyMathLab, show the first steps to guide students as they learn a new procedure.
  • Concept Checks at the start of exercise sets ensure students have the skills to proceed, and later help students consolidate learning by writing, correcting errors, and practicing processes.

 

SUPPORT STUDENTS AND INSTRUCTORS

For Students

  • MyWorkBook can be accessed within MyMathLab or packaged with the text or MyMathLab code, and provides the following resources for every section:
    • Key vocabulary terms, and vocabulary practice problems
    • Guided Examples and similar Practice Exercises, keyed to the text Objectives
    • References to Examples, Section Lecture Videos, and Solutions Clips for more help
    • Additional Practice Exercises with ample space for students to show their work
  • The MySlideNotes workbook provides a note-taking tool based on the PowerPoint slides that accompany your text.
    • Extra examples let students apply the concepts and procedures on the slides.
    • Guided solutions break problems into small, manageable steps.
    • Vocabulary practice ensures that students have a firm grasp of the key new terms.
  • UPDATED AND EXPANDED! PowerPoint® slides include an objective based presentation; a fresh, interactive, animated design; Caution Notes; and are available in JavaScript for viewing on smartphones and tablets. They serve as an effective Self-Study or Lecture Replacement Resource for students in traditional, hybrid, lab-based, or online courses. These are available in MyMathLab to both students and instructors and are assignable as a media assignment.

 

For Instructors

  • Vocabulary and Teaching Tips have been added to margins of the Annotated Instructor’s Edition to help new and experienced instructors with class prep.

 

Content Changes

  • We increased the emphasis on checking solutions and answers, as indicated by a new CHECK tag and  in the exposition and examples.
  • In preparation for Chapter 11 and the material on forms of linear equations, Section 10.5 provides a new example and corresponding exercises on solving a linear equation in two variables x and y for y.
  • Section 11.4 on writing and graphing equations of lines provides increased development and coverage of the slope-intercept form, including two new examples.
  • Sections 13.2—13.4 include three new examples on factoring trinomials.
  • The following topics are among those that have been enhanced and/or expanded:
    • Dividing real numbers involving zero (Section 9.6)
    • Applying the properties of real numbers (Section 9.7)
    • Solving applications involving consecutive integers and angle measures (Section 10.4)
    • Using interval notation and solving linear inequalities (Section 10.6)
    • Graphing linear equations in two variables using intercepts (Section 11.1)
    • Finding numerical values of rational expressions and values for which rational expressions are undefined (Section 14.1)
    • Solving systems of equations with decimal coefficients (Section 15.2)
    • Solving quadratic equations by using the zero-factor property (Section 17.1)

 


Table of Contents

1. Whole Numbers

1.1 Reading and Writing Whole Numbers

1.2 Adding Whole Numbers

1.3 Subtracting Whole Numbers

1.4 Multiplying Whole Numbers

1.5 Dividing Whole Numbers

1.6 Long Division

1.7 Rounding Whole Numbers

1.8 Exponents, Roots, and Order of Operations

1.9 Reading Pictographs, Bar Graphs, and Line Graphs

1.10 Solving Application Problems

 

2. Multiplying and Dividing Fractions

2.1 Basics of Fractions

2.2 Mixed Numbers

2.3 Factors

2.4 Writing a Fraction in Lowest Terms

2.5 Multiplying Fractions

2.6 Applications of Multiplication

2.7 Dividing Fractions

2.8 Multiplying and Dividing Mixed Numbers

 

3. Adding and Subtracting Fractions

3.1 Adding and Subtracting Like Fractions

3.2 Least Common Multiples

3.3 Adding and Subtracting Unlike Fractions

3.4 Adding and Subtracting Mixed Numbers

3.5 Order Relations and the Order of Operations

 

4. Decimals

4.1 Reading and Writing Decimal Numbers

4.2 Rounding Decimal Numbers

4.3 Adding and Subtracting Decimal Numbers

4.4 Multiplying Decimal Numbers

4.5 Dividing Decimal Numbers

4.6 Fractions and Decimals

 

5. Ratio and Proportion

5.1 Ratios

5.2 Rates

5.3 Proportions

5.4 Solving Proportions

5.5 Solving Application Problems with Proportions

 

6. Percent

6.1 Basics of Percent

6.2 Percents and Fractions

6.3 Using the Percent Proportion and Identifying the Components in a Percent Problem

6.4 Using Proportions to Solve Percent Problems

6.5 Using the Percent Equation

6.6 Solving Application Problems with Percent

6.7 Simple Interest

6.8 Compound Interest

 

7. Geometry

7.1 Lines and Angles

7.2 Rectangles and Squares

7.3 Parallelograms and Trapezoids

7.4 Triangles

7.5 Circles

7.6 Volume and Surface Area

7.7 Pythagorean Theorem

7.7 Congruent and Similar Triangles

 

8. Statistics

8.1 Circle Graphs

8.2 Bar Graphs and Line Graphs

8.3 Frequency Distributions and Histograms

8.4 Mean, Median, and Mode

 

9. The Real Number System

9.1 Exponents, Order of Operations, and Inequality

9.2 Variables, Expressions, and Equations

9.3 Real Numbers and the Number Line

9.4 Adding Real Numbers

9.5 Subtracting Real Numbers

9.6 Multiplying and Dividing Real Numbers

9.7 Properties of Real Numbers

9.8 Simplifying Expressions

 

10. Equations, Inequalities, and Applications

10.1 The Addition Property of Equality

10.2 The Multiplication Property of Equality

10.3 More on Solving Linear Equations

10.4 An Introduction to Applications of Linear Equations

10.5 Formulas and Additional Applications from Geometry

10.6 Solving Linear Inequalities

 

11. Graphs of Linear Equations and Inequalities in Two Variables

11.1 Linear Equations in Two Variables; The Rectangular Coordinate System

11.2 Graphing Linear Equations in Two Variables

11.3 The Slope of a Line

11.4 Writing and Graphing Equations of Lines

11.5 Graphing Linear Inequalities in Two Variables

 

12. Exponents and Polynomials

12.1 Adding and Subtracting Polynomials

12.2 The Product Rule and Power Rules for Exponents

12.3 Multiplying Polynomials

12.4 Special Products

12.5 Integer Exponents and the Quotient Rule

12.6 Dividing a Polynomial by a Monomial

12.7 Dividing a Polynomial by a Polynomial

12.8 An Application of Exponents: Scientific Notation

 

13. Factoring and Applications

13.1 Factors; The Greatest Common Factor

13.2 Factoring Trinomials

13.3 Factoring Trinomials by Grouping

13.4 Factoring Trinomials by Using the FOIL Method

13.5 Special Factoring Techniques

13.6 A General Approach to Factoring

13.7 Solving Quadratic Equations by Factoring

13.8 Applications of Quadratic Equations

 

14. Rational Expressions and Applications

14.1 The Fundamental Property of Rational Expressions

14.2 Multiplying and Dividing Rational Expressions

14.3 Least Common Denominators

14.4 Adding and Subtracting Rational Expressions

14.5 Complex Fractions

14.6 Solving Equations with Rational Expressions

14.7 Applications of Rational Expressions

14.8 Variation

 

15. Systems of Linear Equations and Inequalities

15.1 Solving Systems of Linear Equations by Graphing

15.2 Solving Systems of Linear Equations by Substitution

15.3 Solving Systems of Linear Equations by Elimination

15.4 Applications of Linear Systems

15.5 Solving Systems of Linear Inequalities

 

16. Roots and Radicals

16.1 Evaluating Roots

16.2 Multiplying, Dividing, and Simplifying Radicals

16.3 Adding and Subtracting Radicals

16.4 Rationalizing the Denominator

16.5 More Simplifying and Operations with Radicals

16.6 Solving Equations with Radicals

 

17. Quadratic Equations

17.1 Solving Quadratic Equations by the Square Root Property

17.2 Solving Quadratic Equations by Completing the Square

17.3 Solving Quadratic Equations by the Quadratic Formula

17.4 Graphing Quadratic Equations

17.5 Introduction to Functions

Appendix A: Measurement
A.1 Problem Solving with U.S. Measurement Units
A.2 The Metric System-Length
A.3 The Metric System-Capacity and Weight (Mass)
A.4 Metric-U.S. Measurement Conversions and Temperature
Appendix B: Inductive and Deductive Reasoning
Other Appendices:
- Set Operations and Compound Inequalities
- Absolute Value Equations and Inequalities
- Writing Equations of Parallel and Perpendicular Lines
- Rational Exponents
Answers to Selected Exercises
Solutions to Selected Exercises
Index

Author

Marge Lial (late) became interested in math at an early age—it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, was affiliated with American River College. An avid reader and traveler, her travel experiences often found their way into her books as applications, exercise sets, and feature sets. She was particularly interested in archeology; trips to various digs and ruin sites produced some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan. We dedicate the new editions of the paperback developmental math series to Marge in honor of her contributions to the field in which she helped thousands of students succeed.

 

When John Hornsby enrolled as an undergraduate at Louisiana State University, he was uncertain whether he wanted to study mathematics education or journalism. His ultimate decision was to become a teacher, but after twenty-five years of teaching at the high school and university levels and fifteen years of writing mathematics textbooks, both of his goals have been realized. His love for both teaching and for mathematics is evident in his passion for working with students and fellow teachers as well. His specific professional interests are recreational mathematics, mathematics history, and incorporating graphing calculators into the curriculum. John's personal life is busy as he devotes time to his family (wife Gwen, and sons Chris, Jack, and Josh). He has been a rabid baseball fan all of his life. John's other hobbies include numismatics (the study of coins) and record collecting. He loves the music of the 1960s and has an extensive collection of the recorded works of Frankie Valli and the Four Seasons.

 

A native Midwesterner, Terry McGinnis received her Bachelor’s of Science in Elementary Education with a concentration in Mathematics from Iowa State University. She has taught elementary and middle school mathematics, and developed and implemented the curriculum used with her students. Terry has been involved in college mathematics publishing for over 20 years, working with a variety of authors on textbooks in developmental mathematics and precalculus. After working behind the scenes on many of the Lial/Hornsby textbooks and supplements for over 10 years, Terry joined Margaret Lial and John Hornsby in 2002 as coauthor of their developmental mathematics series that includes Introductory Algebra, Intermediate Algebra, and Introductory and Intermediate Algebra. When not working, Terry enjoys spinning at a local health club, walking, and reading fiction. She is the devoted mother of two sons, Andrew and Tyler.

 

Diana Hestwood lives in Minnesota and has taught at Metropolitan Community College in Minneapolis for two decades. She has done research on the student brain and is an expert on study skills. She is the author of Lial/Hestwood’s Prealgebra and coauthor of Lial/Salzman/Hestwood’s Basic Math and Lial/Hestwood/Hornsby/McGinnis’s Prealgebra and Introductory Algebra.

 

Stan Salzman is a long time resident of Sacramento, California. Stan has taught at American River College for many years, where he was a member of the business department. He is the author of Business Math and Essential Math, published by Pearson Education, Inc., and is coauthor of Basic Math.

Instructor Resources