Description

Features

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 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 (see New-to-Edition section for more information); Guided Applications (see New-to-Edition section for more information); 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.

Martin-Gay’s video program provides students with active learning at their own pace. 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. New “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.
• 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.
• 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 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.

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.

NEW! 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.
• Both course options will feature the following items:

• All videos from the Martin-Gay Interactive Lecture Series.
• Student Organizer (PDF) with hyperlinks to all video.
• Video Organizer in PDF format.
• 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-test for every chapter.

New to this Edition

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 students’ 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.
• Guided application exercises offer prompts for setting up the problem and getting started with the solution process. These guided exercises help students prepare to solve application exercises on their own, and appear in a number of places throughout the text.
• The Student Resources section,located in the back of the text, gives students a variety of tools that are conveniently located in one place to help them achieve success in math.

• Study Skills Builders give students tips and suggestions on making the most out of their valuable time. These cover all aspects of the learning process, from class notes to homework.
• The Bigger Picture—Study Guide Outline covers key concepts of the course—simplifying expressions and solving equations and inequalities—to help students transition from thinking section-by-section to thinking about how the material fits into mathematics as a whole. This outline provides a model for students on how to organize and develop their own study guide.
• The Practice Final Exam helps students prepare for the end-of-the-course exam. Students can also watch Elayn Martin-Gay work through the step-by-step solutions to all the Practice Final Exam exercises on the new Interactive DVD Lecture Series and in MyMathLab®.
• Answers to Selected Exercises allow students to check their answers for all odd-numbered section exercises. 

New Student and Instructor Resources

• 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.
• NEW! 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.
• Both course options will feature the following items:

• All videos from the Martin-Gay Interactive Lecture Series.
• Student Organizer (PDF) with hyperlinks to all video.
• 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-test for every chapter.

Table of Contents

1. Review of Real Numbers

1.1 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 and Multiplication Properties of Equality

2.3 Solving Linear Equations

Integrated Review–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 Further Problem Solving

2.8 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 Equation of Lines

3.6 Functions

4. Solving Systems of Linear 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 Addition

Integrated Review–Solving Systems of Equations

4.4 Solving Systems of Linear Equations in Three Variables

4.5 Systems of Linear Equations and Problem Solving

5. Exponents and Polynomials

5.1 Exponents

5.2 Polynomial Functions and 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

5.7 Synthetic Division and the Remainder Theorem

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 by 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 Rational Functions and 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 Simplifying Complex Fractions

8. More on Functions and Graphs

8.1 Graphing and Writing Linear Functions

8.2 Reviewing Function Notation and Graphing Nonlinear  Functions

Integrated Review–Summary on Functions and Equations of Lines

8.3 Graphing Piecewise-Defined Functions and Shifting and  Reflecting Graphs of Functions

8.4 Variation and Problem Solving

9. Inequalities and Absolute Value

9.1 Compound Inequalities

9.2 Absolute Value Equations

9.3 Absolute Value Inequalities

Integrated Review–Solving Compound Inequalities and Absolute Value Equations and Inequalities

9.4 Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities

10. Rational Exponents, Radicals, and Complex Numbers

10.1 Radicals and Radical Functions

10.2 Rational Exponents

10.3 Simplifying Radical Expressions

10.4 Adding, Subtracting, and Multiplying Radical Expressions

10.5 Rationalizing Denominators and Numerators of Radical  Expressions

Integrated Review–Radicals and Rational Exponents

10.6 Radical Equations and Problem Solving

10.7 Complex Numbers

11. Quadratic Equations and Functions

11.1 Solving Quadratic Equations by Completing the Square

11.2 Solving Quadratic Equations by the Quadratic Formula

11.3 Solving Equations by Using Quadratic Methods

Integrated Review–Summary on Solving Quadratic  Equations

11.4 Nonlinear Inequalities in One Variable

11.5 Quadratic Functions and Their Graphs

11.6 Further Graphing of Quadratic Functions

12. Exponential and Logarithmic Functions

12.1 The Algebra of Functions; Composite Functions

12.2 Inverse Functions

12.3 Exponential Functions

12.4 Exponential Growth and Decay Functions

12.5 Logarithmic Functions

12.6 Properties of Logarithms

Integrated Review–Functions and Properties of  Logarithms

12.7 Common Logarithms, Natural Logarithms, and Change  of Base

12.8 Exponential and Logarithmic Equations and  Problem Solving

13. Conic Sections

13.1 The Parabola and the Circle

13.2 The Ellipse and the Hyperbola

Integrated Review–Graphing Conic Sections

13.3 Solving Nonlinear Systems of Equations

13.4 Nonlinear Inequalities and Systems of Inequalities

Appendix A. Operations on Decimals/Percent, Decimal, and Fraction Table

Appendix B. Review of Algebra Topics

Appendix C. An Introduction to Using a Graphic Utility

Appendix D. Solving Systems of Equations by Matrices

Appendix E.  Solving Systems of Equations by Determinants

Appendix F. Mean, Median, and Mode

Appendix G. Review of Angles, Lines, and Special Triangles