Video Notebook for Intermediate Algebra (7^th Ed.)

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.

Table of Contents

1. Real Numbers and Algebraic Expressions
   • 1.1 Study Skill Tips for Success in Mathematics
   • 1.2 Algebraic Expressions and Sets of Numbers
   • 1.3 Operations on Real Numbers and Order of Operations
     • Integrated Review—Algebraic Expressions and Operations on Whole Numbers
   • 1.4 Properties of Real Numbers and Algebraic Expressions
2. Equations, Inequalities, and Problem Solving
   • 2.1 Linear Equations in One Variable
   • 2.2 An Introduction to Problem Solving
   • 2.3 Formulas and Problem Solving
   • 2.4 Linear Inequalities and Problem Solving
     • Integrated Review—Linear Equations and Inequalities
   • 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
     • Integrated Review—Linear Equations in Two Variables
   • 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 Linear Equations in Two Variables
   • 4.2 Solving Systems of Linear Equations in Three Variables
   • 4.3 Systems of Linear Equations and Problem Solving
     • Integrated Review—Systems of Linear Equations
   • 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
     • Integrated Review—Operations on Polynomials and Factoring Strategies
   • 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
     • Integrated Review—Expressions and Equations Containing Rational Expressions
   • 6.6 Rational Equations and Problem 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
     • Integrated Review—Radicals and Rational Exponents
   • 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
     • Integrated Review—Summary on Solving Quadratic Equations
   • 8.4 Nonlinear Inequalities in 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
     • Integrated Review—Functions and 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
      • Integrated Review—Graphing Conic Sections
    • 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
      • Integrated Review—Sequences and Series
    • 11.4 Partial Sums of Arithmetic and Geometric Sequences
    • 11.5 The Binomial Theorem

Appendices

1. Geometry
2. Stretching and Compressing Graphs of Absolute Value Functions
3. Solving Systems of Equations Using Determinants
4. An Introduction to Using a Graphing Utility

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.

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