Algebra: A Combined Approach, 5th edition

Published by Pearson (February 10, 2015) © 2016

  • Elayn Martin-Gay University of New Orleans, Lakefront

MyLab

$149.99

  • Reach every student with personalized support
  • Customize courses with ease
  • Optimize learning with dynamic study tools
Also available with MyMathLab®.

MyMathLab is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts.

The Martin-Gay developmental math program offers a variety of print and digital resources so instructors can build the ideal learning solution for their students.

Martin-Gay’s NEW Student Success program is motivated by Elayn’s firm belief that every student can succeed. This integrated learning system combines the textbook, MyMathLab, student and video organizers, and the video program, and is designed to help students gain the math and study skills needed for success in developmental math and beyond.

  • The new Ready to Go MyMathLab®courses provide students with all the same great MyMathLab features, but make it easier for instructors to get started. Each course includes pre-assigned homework and quizzes to make creating a course even easier. The Martin-Gay Ready to Go courses also feature a stepped-out learning path for students that integrates the textbook, videos, and Video Organizer to help ensure that students are getting the most from the available resources.
  • All videos in the video program are presented by Elayn Martin-Gay to ensure 100% consistency throughout all resources, and are available in both MyMathLab® and on the Interactive DVD Lecture Series. The following types of videos are available:
    • A complete lecture for each section of the text highlights key examples and exercises. New “pop-ups” reinforce key terms, definitions, and concepts while Martin-Gay presents the material. The lecture videos are also available to be viewed and assigned by objective within MyMathLab.
    • Interactive Concept Checks measure students’ understanding of key concepts and common trouble spots. After the viewer selects an answer from several multiple choice options, Martin-Gay explains why the answer is correct or incorrect.
    • The Chapter Test Prep Videos help students during their most teachable moment–when they are preparing for a test. This Martin-Gay innovation provides step-by-step solutions for the exercises found in each Chapter Test. Complete solutions on video for all exercises from the Practice Final Exam (located in Student Resources) help students prepare for the real thing. Overview segments review key problem-solving strategies.
    • The NEW Student Success Tips Videos are 3- to 5-minute video segments designed to be a daily reminder to students to continue practicing and maintaining good organizational and study habits (see New-to-Edition section for more information).
  • Two Organizer options let you choose the option that best suits your teaching style and format.
    • The NEW Video Organizer is designed to help students take notes and work practice exercises while watching the Interactive Lecture Series (available in MyMathLab and on DVD).
      • All content in the Video Organizer is presented in the same order as the videos, making it easy for students to create a course notebook and build good study habits.
      • The Organizer provides ample space for students to write down key definitions and rules.
      • The Video Organizer is available in loose-leaf, notebook-ready format, which encourages students to create a course binder. It is also available in MyMathLab.
      • An outline for use with the new Student Success Tips Videos is also included.
    • The Student Organizer is designed to help students develop the study habits they need to be successful.
      • This Organizer guides students through the three main components of studying effectively–note-taking, practice, and homework–and helps them develop the habits that will enable them to succeed in future courses.
      • The Student Organizer can be packaged with the text in loose-leaf, notebook-ready format and is also available in MyMathLab.
      • It now includes an outline for use with the new Student Success Tips Videos

The textbook, available in print or digital format, is the keystone of the Martin-Gay program. Elayn Martin-Gay is known for her accessible writing style and for the depth of resources she provides for instructors and students in her texts.

  • Detailed step-by-step examples provide guidance for students.
  • Practice exercises are paired with each example to actively involve students in the learning process.
  • Concept Checks throughout the text allow students to gauge their grasp of an idea as it is presented in the text. By stressing conceptual understanding at point-of-use, the Concept Checks help prevent misconceived notions for important topics.
  • All exercise sets have been carefully updated with this revision. Several special types of exercises throughout the text give students the practice they need: new Vocabulary, Readiness and Video Checks; Guided Applications; Mixed Practice; Concept Extension; and more!
  • Martin-Gay’s presentation of Study Skills ensures that students make the most of their valuable study time in order to help them succeed in this course. In-text study skills resources include Section 1.1, Tips for Success in Mathematics and the Student Resources section located in the back of the book.
  • End-of-chapter material offers students a wealth of review- and retention-oriented material to reinforce the concepts presented in current and previous chapters.

Also available with MyMathLab®.

MyMathLab is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts.

New and Updated Features

  • Vocabulary, Readiness, and Video Check questions have been added to the start of every section’s exercise set:
    • The Vocabulary exercises quickly check students’ understanding of the new vocabulary words.
    • The Readiness exercises assess a student’s understanding of concepts that are necessary to continue with the exercise set.
    • Video Check questions for the Martin-Gay Interactive Lecture videos are now provided for each learning objective. These exercises are all available in MyMathLab and are a great way to ensure students have viewed and understood the key concepts presented in the videos. Each exercise in MyMathLab links students directly to the video for viewing.

New Student and Instructor Resources

  • Student Success Tips Videos are 3- to 5-minute video segments designed to be a daily reminder to students to continue practicing and maintaining good organizational and study habits. They are organized in three categories and are available in MyMathLab and the Interactive DVD Lecture Series. The categories are:
    • Videos that apply to any college course in general, such as Time Management.
    • Videos that apply to any mathematics course. One example is based on understanding that mathematics is a course that requires homework to be completed in a timely fashion.
    • Section- or content-specific videos that help students avoid common mistakes or better understand concepts that often prove challenging.
  • NEW! The Video Organizer is designed to help students take notes and work practice exercises while watching the Interactive Lecture Series (available in MyMathLab and on DVD).
    • All content in the Video Organizer is presented in the same order as it is presented in the videos, making it easy for students to create a course notebook and build good study habits.
    • The Organizer provides ample space for students to write down key definitions and rules.
    • The Video Organizer is available in loose-leaf, notebook-ready format and is also available in MyMathLab.
    • Includes an outline for use with the new Student Success Tips Videos
  • Two MyMathLab course options are now available: a standard course and a Ready to Go course.
    • Standard MyMathLab courses allow instructors to build their course their way, offering maximum flexibility and complete control over all aspects of assignment creation.
    • The new Ready to Go courses provide students with all the same great MyMathLab features, but make it easier for instructors to get started. Each course includes pre-assigned homework and quizzes to make creating a course even easier.  This new Martin-Gay course provides a stepped-out learning path for students that integrates the textbook, videos, and Video Organizer to help ensure that students are getting the most from the available resources.
    • Both course options will feature the following items:
      • All videos from the Martin-Gay Interactive Lecture Series.
      • Video Organizer PDF
      • Student Organizer PDF
      • Pre-made (and pre-assigned in the Ready to Go course) section-level homework assignments.
      • Pre-made (and pre-assigned in the Ready to Go course) Practice Final Exam.
      • Pre-made (and pre-assigned in the Ready to Go course) Video Check assignments for every section.
      • Premade chapter review quizzes that are pre-assigned in the Ready to Go course and generate personalized homework assignments based on students’ quiz results.
      • Pre-made (and pre-assigned in the Ready to Go course) pre- and post-tests for every chapter.

R. Prealgebra Review

 

    R.1 Factors and the Least Common Multiple

    R.2 Fractions

    R.3 Decimals and Percents

        Group Activity

        Vocabulary Check

        Chapter Highlights

        Chapter Review

        Chapter Test

 

1. Real Numbers and Introduction to Algebra

 

    1.1 Study Skills Tips for Sucess in Mathematics

    1.2 Symbols and Sets of Numbers

    1.3 Expnents, Order of Operations, and Variable Expressions

    1.4 Adding Real Numbers

    1.5 Subtracting Real Numbers

    1.6 Multiplying and Dividing Real Numbers

    1.7 Properties of Real Numbers

    1.8 Simplifying Expressions

        Group Activity

        Vocabulary Check

        Chapter Highlights

        Chapter Review

        Chapter Test

 

2. Equations, Inequalities, and Problem Solving

 

    2.1 The Addition Property of Equality

    2.2 The Multiplication Property of Equality

    2.3 Further Solving Linear Equations

    2.4 An Introduction to Problem Solving

    2.5 Formulas and Problem Solving

    2.6 Percent and Mixture Problem Solving

    2.7 Linear Inequalities and Problem Solving

        Group Activity

        Vocabulary Check

        Chapter Highlights

        Chapter Review

        Chapter Test

        Cumulative Review

    

3. Graphing Equations and Inequalities

 

    3.1 Reading Graphs and the Rectangular Coordinate System

    3.2 Graphing Linear Equations

    3.3 Intercepts

    3.4 Slope and Rate of Change

    3.5 Equations of Lines

    3.6 Graphing Linear Inequalities in Two Variables

        Group Activity

        Vocabulary Check

        Chapter Highlights

        Chapter Review

        Chapter Test

        Cumulative Review

 

4. Systems of Equations

 

    4.1 Solving Systems of Linear Equations by Graphing

    4.2 Solving Systems of Linear Equations by Substitution

    4.3 Solving Systems of Linear Equations by Addtion

    4.4 Systems of Linear Equations and Problem Solving

        Group Activity

        Vocabulary Check

        Chapter Highlights

        Chapter Review

        Chapter Test

        Cumulative Review

 

5. Exponents and Polynomials

 

    5.1 Exponents

    5.2 Negative Exponents and Scientific Notation

    5.3 Introduction to Polynomials

    5.5 Multiplying Polynomials

    5.6 Special Products

    5.7 Dividing Polynomials

        Group Activity

        Vocabulary Check

        Chapter Highlights

        Chapter Review

        Chapter Test

        Cumulative Review

 

6. Factoring Polynomials

 

    6.1 The Greatest Common Factor and Factoring by Grouping

    6.2 Factoring Trinomials of the Form x2 + bx + c

    6.3 Factoring Trinomials of the Form ax2 + bx + c

    6.4 Factoring Trinomials of the Form ax2 + bx + c by Grouping

    6.5 Factoring by Special Products

    6.6 Solving Quadratic Equations and Problem Solving

        Group Activity

        Vocabulary Check

        Chapter Highlights

        Chapter Review

        Chapter Test

        Cumulative Review

 

7. Rational Expressions

 

    7.1 Simplifying Rational Expressions

    7.2 Multiplying and Dividing Rational Expressions

    7.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator

    7.4 Adding and Subtracting Rational Expressions with Different Denominators

    7.5 Solving Equations Containing Rational Expressions

    7.6 Proportions and Problem Solving with Rational Equations

    7.7 Simplifying Complex Fractions

        Group Activity

        Vocabulary Check

        Chapter Highlights

        Chapter Review

        Chapter Test

        Cumulative Review

 

8. Graphs and Functions

 

    8.1 Review of Equations of Lines and Writing Parallel and Perpendicular Lines

    8.2 Introduction to Functions

    8.3 Polynomial and Rational Functions

    8.4 Interval Notation, Finding Domains and Ranges from Graphs, and Graphing Piecewise-Defined Functions

    8.5 Shifting and Reflecting Graphs of Functions

        Group Activity

        Vocabulary Check

        Chapter Highlights

        Chapter Review

        Chapter Test

        Cumulative Review

 

9. Systems of Equations and Inequalities and Variation

 

    9.1 Solving Systems of Linear Equations in Three Variables and Problem Solving

    9.2 Solving Systems of Equations Using Matrices

    9.3 Systems of Linear Inequalities

    9.4 Variation and Problem Solving

        Group Activity

        Vocabulary Check

        Chapter Highlights

        Chapter Review

        Chapter Test

        Cumulative Review

 

10. Rational Exponents, Radicals, and Complex Numbers

 

   10.1 Radical Expressions and Radical Functions

    10.2 Rational Exponents

    10.3 Simplifying Radical Expressions

    10.4 Adding, Subtracting, and Multiplying Radical Expressions

    10.5 Rationalizing Numerators and Denominators of Radical Expressions

    10.6 Radical Equations and Problem Solving

    10.7 Complex Numbers

        Group Activity

        Vocabulary Check

        Chapter Highlights

        Chapter Review

        Chapter Test

        Cumulative Review

 

11. Quadratic Equations and Functions

 

    11.1 Solving Quadratic Equations by Completing the Square

    11.2 Solving Quadratic Equations by Using the Quadratic Formula

    11.3 Solving Equations by Using Quadratic Methods

    11.4 Nonlinear Inequalities in One Variable

    11.5 Quadratic Functions and Their Graphs

    11.6 Further Graphing of Quadratic Functions

        Group Activity

        Vocabulary Check

        Chapter Highlights

        Chapter Review

        Chapter Test

        Cumulative Review

         

12. Exponential and Logarithmic Functions

 

    12.1 The Algebra of Functions

    12.2 Inverse Functions

    12.3 Exponential Functions

    12.4 Exponential Functions

    12.5 Logarithmic Functions

    12.6 Properties of Logarithms

    12.7 Common Logarithms, Natural Logarithms, and Change of Base

    12.8 Exponential and Logarithmic Equations and Problem Solving

        Group Activity

        Vocabulary Check

        Chapter Highlights

        Chapter Review

        Chapter Test

        Cumulative Review

 

13. Conic Sections

 

    13.1 The Parabola and the Circle

    13.2 The Ellipse and the Hyperbola

    13.3 Solving Nonlinear Systems of Equations

    13.4 Nonlinear Inequalities and Systems of Inequalities

        Group Activity

        Vocabulary Check

        Chapter Highlights

        Chapter Review

        Chapter Test

        Cumulative Review

 

Appendices

Appendix A: Transition Review: Exponents, Polynomials, and Factoring Strategies

Appendix B: Transition Review: Solving Linear and Quadratic Equations

Appendix C: Sets and Compound Inequalities

Appendix D: Absolute Value Equations and Inequalities

Appendix E: Determinants and Cramer’s Rule

Appendix F: Review of Angles, Lines, and Special Triangles

Appendix G: Stretching and Compressing Graphs of Absolute Value Functions

Appendix H: An Introduction to Using a Graphing Utility

 

Elayn Martin-Gay has taught mathematics at the University of New Orleans for more than 25 years. Her numerous teaching awards include the local University Alumni Association’s Award for Excellence in Teaching, and Outstanding Developmental Educator at University of New Orleans, presented by the Louisiana Association of Developmental Educators.

Prior to writing textbooks, Elayn Martin-Gay developed an acclaimed series of lecture videos to support developmental mathematics students. These highly successful videos originally served as the foundation materials for her texts. Today, the videos are specific to each book in her series. She has also created Chapter Test Prep Videos to help students during their most “teachable moment”–as they prepare for a test–along with Instructor-to-Instructor videos that provide teaching tips, hints, and suggestions for every developmental mathematics course, including basic mathematics, prealgebra, beginning algebra, and intermediate algebra.

Elayn is the author of 12 published textbooks and numerous multimedia interactive products, all specializing in developmental mathematics courses. She has also published series in Algebra 1, Algebra 2, and Geometry.  She has participated as an author across a broad range of educational materials: textbooks, videos, tutorial software, and courseware. This offers an opportunity for multiple combinations for an integrated teaching and learning package, offering great consistency for the student.

Need help? Get in touch

MyLab

Customize your course to teach your way. MyLab® is a flexible platform merging world-class content with dynamic study tools. It takes a personalized approach designed to ignite each student's unique potential. And, with the freedom it affords to adapt your pedagogy, you can reinforce select concepts and guide students to real results.

Video
Play
Privacy and cookies
By watching, you agree Pearson can share your viewership data for marketing and analytics for one year, revocable by deleting your cookies.

Empower your students, in class and beyond

Meet students where they are with MyLab®, and capture their attention in every lecture, activity, and assignment using immersive content, customized tools, and interactive learning experiences in your discipline.