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Introductory Algebra, 5th edition

Published by Pearson (December 24, 2014) © 2016

  • Elayn Martin-Gay University of New Orleans, Lakefront

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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 Rea

R. Prealgebra Review

    R.1 Factors and the Least Common Multiple

    R.2 Fractions

    R.3 Decimals

1. Real Numbers and Introduction to Algebra

    1.1 Study Skill Tips for Success in Mathematics

    1.2 Symbols and Sets of Numbers

    1.3 Exponents, Order of Operations, and Varible Expressions

    1.4 Adding Real Numbers

    1.5 Subtracting Real Numbers

    1.6 Multiplying and Dividing Real Numberes

    1.7 Properties of Real Numbers

    1.8 Simplifying Expressions

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

3. Exponents and Polynomials

    3.1 Exponents

    3.2 Negative Exponents and Scientific Notation

    3.3 Introduction to Polynomials

    3.4 Adding and Subtracting Polynomials

    3.5 Multiplying Polynomials

    3.6 Special Products

    3.7 Dividing Polynomials

4. Factoring Polynomials

    4.1 The Greatest Common Factor and Factoring by Grouping

    4.2 Factoring Trinomials in the Form x^2 + bx + c

    4.3 Factoring Trinomials in the Form ax^2 + bx + c

    4.4 Factoring Trinomials of the Form ax^2 + bx + c by Grouping

    4.5 Factoring Perfect Square Trinomials and the Difference of Two Squares

    4.6 Solving Quadratic Equations by Factoring

    4.7 Quadratic Equations and Problem Solving

5. Rational Expressions

    5.1 Simplifying Rational Expressions

    5.2 Multiplying and Dividing Rational Expressions

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

    5.4 Adding and Subtracting Rational Expressions with Different Denominators

    5.5 Solving Equations Containing Rational Expressions

    5.6 Proportions and Problem Solving with Rational Equations

    5.7 Simplifying Complex Fractions

6. Graphing Equations and Inequalities

    6.1 Reading Graphs and the Rectangular Coordinate System

    6.2 Graphing Linear Equations

    6.3 Intercepts

    6.4 Slope and Rate of Change

    6.5 Equation of Line

    6.6 Introduction to Functions

    6.7 Graphing Linear Inequalities in Two Variables

    6.8 Direct and Inverse Variation

7. Systems of Equations

    7.1 Solving Systems of Linear Equations by Graphing

    7.2 Solving Systems of Linear Equations by Substitution

    7.3 Solving Systems of Linear Equations by Addition

    7.4 Systems of Linear Equations and Problem Solving

8. Roots and Radicals

    8.1 Introduction to Radicals

    8. 2 Simplifying Radicals

    8.3 Adding and Subtracting Radicals

    8.4 Multiplying and Dividing Radicals

    8.5 Solving Equations Containing Radicals

    8.6 Radical Equations and Problem Solving

9. Quadratic Equations

    9.1 Solving Quadratic Equations by the Square Root Property

    9.2 Solving Quadratic Equations by Completing the Square

    9.3 Solving Quadratic Equations by the Quadratic Formula

 

Appendices

Appendix A: Factoring Sums and Differences of Cubes

Appendix B: Mean, Median, and Mode

Appendix C: Sets

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

Appendix E: Tables

 

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.

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