Beginning Algebra, 7th edition

Published by Pearson (January 3, 2016) © 2017

  • Elayn Martin-Gay University of New Orleans, Lakefront

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For courses in beginning algebra.

Every student can succeed.

Elayn Martin-Gay's developmental math textbooks and video resources are motivated by her firm belief that every student can succeed. Martin-Gay's focus on the student shapes her clear, accessible writing, inspires her constant pedagogical innovations, and contributes to the popularity and effectiveness of her video resources. This revision of Martin-Gay's algebra series continues her focus on students and what they need to be successful.

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.


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.
  • Classroom Examples, paired with each example in the text, are available in the Annotated Instructor’s Edition for additional instructor support.
  • 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 the point of use, the Concept Checks help prevent misconceived notions for important topics.
  • Updated! 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 & 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 new 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.
    • NEW! Getting Ready for the Test exercises give students another way to prepare for the test by checking their conceptual understanding and preventing common errors. These appear before each Chapter Test; all exercises are either multiple choice or matching, with answers available in the back of the text.

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.

  • Updated! Martin-Gay’s video program has been updated and expanded and includes assignable video check questions, new Getting Ready for the Test videos for each chapter, and an increased number of watch clips at the exercise level to help students while doing homework in MyMathLab. All videos are presented by Elayn Martin-Gay to ensure 100% consistency with the text, 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. Shorter, objective-level video clips are also available for student ease of use, and easier instructor assignability.
      • “Pop-ups” reinforce key terms, definitions, and concepts while Martin-Gay presents the material.
      • An easy-to-use navigation menu helps students quickly find and focus on the examples and exercises they need.
      • 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.
      • Video Check Questions are available and assignable in MyMathLab for every section and every learning objective. These exercises are a great way to assess whether students have viewed and understood the key concepts presented in the videos.
    • NEW! Getting Ready for the Test videos can be found before each Chapter Test. Before each Chapter Test, there are exercises that help check student’s conceptual understanding of the topics in the chapter as well as help them focus in on and avoid common errors. It is suggested that students complete and check these exercises before taking a practice Chapter Test. All exercises are either Multiple Choice or Matching, and all answers can be found in the answer section of this text. With these new videos:
      • Video Solutions of all Getting Ready for the Test exercises can be found in MyMathLab and on the Interactive DVD Lecture Series. These video solutions contain brief explanations and reminders of material in the chapter. Where applicable, incorrect choices contain explanations.
      • Getting Ready for the Test exercise numbers, marked in blue, indicate that the question is available in Learning Catalytics.
    • 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.
    • NEW! Student Success Tips videos are 3—5 minute segments, designed to be daily reminders to keep practicing effective organizational and study habits. These are organized into three categories:
      • Success Tips that apply to any college course, such as Time Management.
      • Success Tips that apply to any mathematics course, such as understanding that math requires homework to be completed in a timely fashion, as concepts build on previously learned material.
      • Section or Content-specific Success Tips to help students avoid common mistakes or understand challenging concepts, such as applying the order of operations to simplify an expression.
    • Study Skill Builder Videos reinforce the study skills-related skills and concepts found in Section 1.1, Tips for Success in Mathematics, and in the Study Skills Builder exercises found in the Student Resources section in the back of the text.
  • NEW! Learning Catalytics Questions: MyMathLab now provides Learning Catalytics–an interactive, student response tool that uses students’ smartphones, tablets, or laptops to engage them in more sophisticated tasks and thinking. You can use the built-in questions or make your own!
    • NEW! Getting Ready for the Test exercises are included at the end of each chapter before the chapter test. Exercise numbers in blue are available in Learning Catalytics. These are also noted in the Annotated Instructor’s Edition.
  • The Video Organizer encourages students to take notes and work practice exercises while watching Elayn Martin-Gay’s 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 Video Organizer provides ample space for students to write down key definitions and rules throughout the lectures, and “Play” and “Pause” button icons prompt students to follow along with Elayn for some exercises while they try others on their own.
  • Vocabulary & Readiness Questions are available in the text and for assignment in MyMathLab. The readiness exercises center on a student’s understanding of a concept that is necessary in order to continue to the exercise set.
  • NEW! Key Concept and Activity Lab Workbook is a great way to engage students in conceptual projects and exploration, as well as group work. The Workbook includes Extension Exercises, Exploration Activities, Conceptual Exercises, and Group Activities.

New and updated features in the textbook

  • Getting Ready for the Test exercises give students another way to prepare for the test by checking their conceptual understanding and preventing common errors. These appear before each Chapter Test; all exercises are either multiple choice or matching, with answers available in the back of the text.

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.

  • Updated! Martin-Gay’s video program has been updated and expanded and includes assignable video check questions, new Getting Ready for the Test videos for each chapter, and an increased number of watch clips at the exercise level to help students while doing homework in MyMathLab. All videos are presented by Elayn Martin-Gay to ensure 100% consistency with the text, and are available in both MyMathLab® and on the Interactive DVD Lecture Series. The following types of videos are available:
    • Getting Ready for the Test videos can be found before each Chapter Test. Before each Chapter Test, there are exercises that help check student’s conceptual understanding of the topics in the chapter as well as help them focus in on and avoid common errors. It is suggested that students complete and check these exercises before taking a practice Chapter Test. All exercises are either Multiple Choice or Matching, and all answers can be found in the answer section of this text. With these new videos:
      • Video Solutions of all Getting Ready for the Test exercises can be found in MyMathLab and on the Interactive DVD Lecture Series. These video solutions contain brief explanations and reminders of material in the chapter. Where applicable, incorrect choices contain explanations.
      • Getting Ready for the Test exercise numbers, marked in blue, indicate that the question is available in Learning Catalytics.
    • Student Success Tips videos are 3–5 minute segments, designed to be daily reminders to keep practicing effective organizational and study habits. These are organized into three categories:
      • Success Tips that apply to any college course, such as Time Management.
      • Success Tips that apply to any mathematics course, such as understanding that math requires homework to be completed in a timely fashion, as concepts build on previously learned material.
      • Section or Content-specific Success Tips to help students avoid common mistakes or understand challenging concepts, such as applying the order of operations to simplify an expression.
  • Learning Catalytics Questions: MyMathLab now provides Learning Catalytics—an interactive, student response tool that uses students’ smartphones, tablets, or laptops to engage them in more sophisticated tasks and thinking. You can use the built-in questions or make your own!
    • Getting Ready for the Test exercises are included at the end of each chapter before the chapter test. Exercise numbers in blue are available in Learning Catalytics. These are also noted in the Annotated Instructor’s Edition.
  • Key Concept and Activity Lab Workbook is a great way to engage students in conceptual projects and exploration, as well as group work. The Workbook includes Extension Exercises, Exploration Activities, Conceptual Exercises, and Group Activities.

1. Review of Real Numbers

1.1 Study Skill Tips for Success in Mathematics

1.2 Symbols and Sets of Numbers

1.3 Fractions and Mixed Numbers

1.4 Exponents, Order of Operations, Variable Expressions, and Equations

1.5 Adding Real Numbers

1.6 Subtracting Real Numbers

Integrated Review–Operations on Real Numbers

1.7 Multiplying and Dividing Real Numbers

1.8 Properties of Real Numbers

 

2. Equations, Inequalities, and Problem Solving

2.1 Simplifying Algebraic Expressions

2.2 The Addition Property of Equality

2.3 The Multiplication Property of Equality

2.4 Solving Linear Equations

Integrated Review–Solving Linear Equations

2.5 An Introduction to Problem Solving

2.6 Formulas and Problem Solving

2.7 Percent and Mixture Problem Solving

2.8 Further Problem Solving

2.9 Solving Linear Inequalities

 

3. Graphing

3.1 Reading Graphs and the Rectangular Coordinate System

3.2 Graphing Linear Equations

3.3 Intercepts

3.4 Slope and Rate of Change

Integrated Review–Summary on Slope and Graphing Linear Equations

3.5 Equations of Lines

3.6 Functions

 

4. Solving Systems of Linear Equations and Inequalities

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 Addition

Integrated Review–Solving Systems of Equations

4.4 Systems of Linear Equations and Problem Solving

4.5 Graphing Linear Inequalities

4.6 Systems of Linear Inequalities

 

5. Exponents and Polynomials

5.1 Exponents

5.2 Adding and Subtracting Polynomials

5.3 Multiplying Polynomials

5.4 Special Products

Integrated Review–Exponents and Operations on Polynomials

5.5 Negative Exponents and Scientific Notation

5.6 Dividing Polynomials

 

6. Factoring Polynomials

6.1 The Greatest Common Factor and Factoring by Grouping

6.2 Factoring Trinomials of the Form x 2 + bx + c

6.3 Factoring Trinomials of the Form ax2 + bx + c and Perfect Square Trinomials

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

6.5 Factoring Binomials

Integrated Review–Choosing a Factoring Strategy

 

6.6 Solving Quadratic Equations by Factoring

6.7 Quadratic Equations and Problem Solving

 

7. Rational Expressions

7.1 Simplifying Rational Expressions

7.2 Multiplying and Dividing Rational Expressions

7.3 Adding and Subtracting Rational Expressions with Common Denominators and Least

Common Denominator

7.4 Adding and Subtracting Rational Expressions with Unlike Denominators

7.5 Solving Equations Containing Rational Expressions

Integrated Review–Summary on Rational Expressions

7.6 Proportion and Problem Solving with Rational Equations

7.7 Variation and Problem Solving

7.8 Simplifying Complex Fractions

 

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

Integrated Review–Simplifying Radicals

8.5 Solving Equations Containing Radicals

8.6 Radical Equations and Problem Solving

8.7 Rational Exponents

 

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

Integrated Review–Summary on Solving Quadratic Equations

9.4 Complex Solutions of Quadratic Equations

9.5 Graphing Quadratic Equations

 

Appendices

A Geometry

B Additional Exercises on Proportion and Proportion Applications

C Operations on Decimals

 

D Mean, Median, and Mode

E Tables

Contents of Student Resources

Student Resources

Study Skills Builders

Bigger Picture–Study Guide Outline

Practice Final Exam

 

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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