Intermediate Algebra

by Martin-Gay, Elayn

• ISBN13: 9780135165706
• ISBN10: 0135165709
• Edition: 6th
• Format: Paperback
• Copyright: 2019-06-13
• Publisher: Pearson

Summary

For courses in Intermediate Algebra.

The Martin-Gay principle: Every student can succeed

Elayn Martin-Gay’s student-centric approach is woven seamlessly throughout her texts and MyLab™ courses, giving students the optimal amount of support through effective video resources, an accessible writing style, and study skills support built into the program. 

 

Elayn’s legacy of innovations that support student success include Chapter Test Prep videos and a Video Organizer note-taking guide. Expanded resources in the latest revision bring even more updates to her program, all shaped by her focus on the student – a perspective that has made her course materials beloved by students and instructors alike. The Martin-Gay series offers market-leading content written by a preeminent author-educator, tightly integrated with the #1 choice in digital learning: MyLab Math. 

 

Also available with MyLab Math 

By combining trusted author content with digital tools and a flexible platform, MyLab personalizes the learning experience and improves results for each student. Bringing Elayn Martin-Gay’s voice and approach into the MyLab course – though video resources, study skills support, and exercises refined with each edition – gives students the support to be successful in math.  

Note: You are purchasing a standalone product; MyLab Math does not come packaged with this content. Students, if interested in purchasing this title with MyLab Math, ask your instructor to confirm the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.

If you would like to purchase both the physical text and MyLab Math, search for:

0135492408 / 9780135492406 Intermediate Algebra Plus MyLab Math with Pearson eText - Access Card Package, 6/e

Author Biography

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 13 published textbooks and a new Interactive Assignment MyLab Math course, all specializing in developmental mathematics courses. 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.

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 Equations, Inequalities, and Properties of Real Numbers

    1.4 Operations on Real Numbers

Integrated Review - Real Numbers

    1.5 Order of Operations and Algebraic Expressions

    1.6 Exponents and Scientific Notation

    1.7 More Work with Exponents and Scientific Notation

        Group Activity

        Vocabulary Check

        Chapter Highlights

        Chapter Review

        Chapter Test

 

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 Sets and Compound Inequalities

    2.6 Absolute Value Equations

    2.7 Absolute Value Inequalities

        Group Activity

        Vocabulary Check

        Chapter Highlights

        Chapter Review

        Chapter Test

 

3. Graphs and Functions

    3.1 Graphing Linear Equations

    3.2 The Slope of a Line

    3.3 The Slope-Intercept Form

    3.4 More Equations of Lines

Integrated Review - Linear Equations in Two Variables

    3.5 Graphing Linear Inequalities

    3.6 Introduction to Functions

    3.7 Finding Domains and Ranges from Graphs and Graphing Piecewise-Defined Functions

    3.8 Shifting and Reflecting Graphs of Functions

        Group Activity

        Vocabulary Check

        Chapter Highlights

        Chapter Review

        Chapter Test

    

4. Systems of Equations and Inequalities

    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 Using Matrices

    4.5 Systems of Linear Inequalities

        Group Activity

        Vocabulary Check

        Chapter Highlights

        Chapter Review

        Chapter Test

 

5. Polynomials and Polynomial Functions

    5.1 Polynomial Functions and Adding and Subtracting Polynomials

    5.2 Multiplying Polynomials

    5.3 Dividing Polynomials and Synthetic Division

    5.4 The Greatest Common Factor and Factoring by Grouping

    5.5 Factoring Trinomials

    5.6 Factoring by Special Products

Integrated Review - Operations on Polynomials and Factoring Strategies 

    5.7 Solving Equations by Factoring and Solving Problems

        Group Activity

        Vocabulary Check

        Chapter Highlights

        Chapter Review

        Chapter Test

 

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 Solving Equations Containing Rational Expressions

Integrated Review - Expressions and Equations Containing Rational Expressions

    6.5 Rational Equations and Problem Solving

    6.6 Variation and Problem Solving

        Group Activity

        Vocabulary Check

        Chapter Highlights

        Chapter Review

        Chapter Test

 

7. Rational Exponents, Radicals, and Complex Numbers

    7.1 Radical Expressions and Radical Functions

    7.2 Rational Exponents

    7.3 Simplifying Radical Expressions

    7.4 Adding, Subtracting, and Multiplying Radical Expressions

    7.5 Rationalizing Numerators and Denominators of Radical Expressions

Integrated Review - Radicals and Rational Exponents

    7.6 Radical Equations and Problem Solving

    7.7 Complex Numbers

        Group Activity

        Vocabulary Check

        Chapter Highlights

        Chapter Review

        Chapter Test

 

8. Quadratic Equations and Functions

    8.1 Solving Quadratic Equations by Completing the Square

    8.2 Solving Quadratic Equations by Using the Quadratic Formula

    8.3 Solving Equations by Using Quadratic Methods

Integrated Review - Summary on Quadratic 

    8.4 Nonlinear Inequalities in One Variable

    8.5 Quadratic Functions and Their Graphs

    8.6 Further Graphing of Quadratic Functions

        Group Activity

        Vocabulary Check

        Chapter Highlights

        Chapter Review

        Chapter Test

 

9. Exponential and Logarithmic Functions

    9.1 The Algebra of 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

        Group Activity

        Vocabulary Check

        Chapter Highlights

        Chapter Review

        Chapter Test

 

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

        Group Activity

        Vocabulary Check

        Chapter Highlights

        Chapter Review

        Chapter Test

 

Appendices

Appendix A: Fractions

Appendix B: Solving Systems of Equations Using Determinants

Appendix C: An Introduction to Using a Graphing Utility

Appendix D: Stretching and Compressing Graphs of Absolute Value Functions

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