Intermediate Algebra

1. Real Numbers and Algebraic Expressions

1.1 Tips for Success in Mathematics

1.2 Algebraic Expressions and Sets of Numbers

1.3 Operations on Real Numbers, and Order of Operation

1.4 Properties of Real Numbers and Algebraic Expressions

2. Equations, Inequalities, and Problem Solving

2.1 Linear Equation in One Variable

2.2 An Introduction to Problem Solving

2.3 Formulas and Problem Solving

2.4 Linear Inequalities and Problem Solving

2.5 Compound Inequalities

2.6 Absolute Value Equations

2.7 Absolute Value Inequalities

3. Graphs and Functions

3.1 Graphing Equations

3.2 Introduction to Functions

3.3 Graphing Linear Functions

3.4 The Slope of a Line

3.5 Equations of Lines

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

3.7 Graphing Linear Inequalities

4. Systems of Equations

4.1 Solving Systems of Equations in Two Variables

4.2 Solving Systems of Equations in Three Variables

4.3 Systems of Linear Equations and Problem Solving

4.4 Solving Systems of Equations by Matrices

4.5 Systems of Linear Inequalities

5. Exponents, Polynomials, and Polynomial Functions

5.1 Exponents and Scientific Notation

5.2 More Work with Exponents and Scientific Notation

5.3 Polynomials and Polynomial Functions

5.4 Multiplying Polynomials

5.5 The Greatest Common Factor and Factoring by Grouping

5.6 Factoring Trinomials

5.7 Factoring by Special Products

5.8 Solving Equations by Factoring and Problem Solving

6. Rational Expressions

6.1 Rational Functions and Multiplying and Dividing Rational Expressions

6.2 Adding and Subtracting Rational Expressions

6.3 Simplifying Complex Fractions

6.4 Dividing Polynomials: Long Division and Synthetic Division

6.5 Solving Equations Containing Rational Expressions

6.6 Rational Equations and Problems Solving

6.7 Variation and Problem Solving

7. Rational Exponents, Radicals, and Complex Numbers

7.1 Radicals and Radical Functions

7.2 Rational Exponents

7.3 Simplifying Radical Expressions

7.4 Adding, Subtracting, and Multiplying Radical Expressions

7.5 Rationalizing Denominators and Numerators of Radical Expressions

7.6 Radical Equations and Problem Solving

7.7 Complex Numbers

8. Quadratic Equations and Functions

8.1 Solving Quadratic Equations by Completing the Square

8.2 Solving Quadratic Equations by the Quadratic Formula

8.3 Solving Equations by Using Quadratic Methods

8.4 Nonlinear Inequalities on One Variable

8.5 Quadratic Functions and Their Graphs

8.6 Further Graphing of Quadratic Functions

9. Exponential and Logarithmic Functions

9.1 The Algebra of Functions; Composite Functions

9.2 Inverse Functions

9.3 Exponential Functions

9.4 Exponential Growth and Decay Functions

9.5 Logarithmic Functions

9.6 Properties of Logarithms

9.7 Common Logarithms, Natural Logarithms, and Change of Base

9.8 Exponential and Logarithmic Equations and Problem Solving

10. Conic Sections

10.1 The Parabola and the Circle

10.2 The Ellipse and the Hyperbola

10.3 Solving Nonlinear Systems of Equations

10.4 Nonlinear Inequalities and Systems of Inequalities

11. Sequences, Series, and the Binomial Theorem

11.1 Sequences

11.2 Arithmetic and Geometric Sequences

11.3 Series

11.4 Partial Sums of Arithmetic and Geometric Sequences

11.5 The Binomial Theorem

Appendix A. Geometry

Appendix B. Stretching and Compressing Graphs of Absolute Value Functions

Appendix C. Solving Systems of Equations Using Determinants

Appendix D. An Introduction to Using a Graphing Utility

Appendix E. Contents of Student Resources

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.

• 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.

An award-winning instructor and best-selling author, 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 developed an acclaimed series of lecture videos to support developmental mathematics students in their quest for success. These highly successful videos originally served as the foundation material for her texts. Today, the videos are specific to each book in the Martin-Gay series. Elayn also pioneered the Chapter Test Prep Video to help students as they prepare for a test–their most “teachable moment!”

Elayn’s experience has made her aware of how busy instructors are and what a difference quality support makes. For this reason, she created the Instructor-to-Instructor video series. These videos provide instructors with suggestions for presenting specific math topics and concepts in basic mathematics, prealgebra, beginning algebra, and intermediate algebra. Seasoned instructors can use them as a source for alternate approaches in the classroom. New or adjunct faculty may find the videos useful for review.

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