Intermediate Algebra

About our 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 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 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 provides an opportunity for various combinations for an integrated teaching and learning package offering great consistency for the student.

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

A. Fractions
B. Solving Systems of Equations Using Determinants
C. An Introduction to Using a Graphing Utility
D. Stretching and Compressing Graphs of Absolute Value Functions
E. Review of Angles, Lines, and Special Triangles