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 the broadest range of educational materials: textbooks, videos, tutorial software, and courseware. This provides an opportunity of various combinations for an integrated teaching and learning package offering great consistency for the student.

Prealgebra Review

R.1 Factors and the Least Common Multiple
R.2 Fractions
R.3 Decimals and Percents
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test


Real Numbers and Introduction to Algebra

1.1 Study Skills Tips for Sucess in Mathematics
1.2 Symbols and Sets of Numbers
1.3 Expnents, Order of Operations, and Variable Expressions
1.4 Adding Real Numbers
1.5 Subtracting Real Numbers

Integrated Review - Operations on Real Numbers


1.6 Multiplying and Dividing Real Numbers
1.7 Properties of Real Numbers
1.8 Simplifying Expressions
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test


Equations, Inequalities, and Problem Solving

2.1 The Addition Property of Equality
2.2 The Multiplication Property of Equality
2.3 Further 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 Linear Inequalities and Problem Solving
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review


Graphing Equations and Inequalities

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 Solving Linear Equations


3.5 Equations of Lines
3.6 Graphing Linear Inequalities in Two Variables
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review


Systems of Equations

4.1 Solving Systems of Linear Equations by Graphing
4.2 Solving Systems of Linear Equations by Substitution

Integrated Review - Summary on Solving Systems of Equations


4.3 Solving Systems of Linear Equations by Addtion
4.4 Systems of Linear Equations and Problem Solving
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review


Exponents and Polynomials

5.1 Exponents
5.2 Negative Exponents and Scientific Notation
5.3 Introduction to Polynomials
5.5 Multiplying Polynomials
5.6 Special Products

Integrated Review - Exponents and Operations on Polynomials


5.7 Dividing Polynomials
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review


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
6.4 Factoring Trinomials of the Form ax2 + bx + c by Grouping
6.5 Factoring by Special Products

Integrated Review - Choosing a Factoring Strategy


6.6 Solving Quadratic Equations and Problem Solving
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review


Rational Expressions

7.1 Simplifying Rational Expressions
7.2 Multiplying and Dividing Rational Expressions
7.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator
7.4 Adding and Subtracting Rational Expressions with Different Denominators
7.5 Solving Equations Containing Rational Expressions

Integrated Review - Summary on Rational Expressions


7.6 Proportions and Problem Solving with Rational Equations
7.7 Simplifying Complex Fractions
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review


Graphs and Functions

8.1 Review of Equations of Lines and Writing Parallel and Perpendicular Lines
8.2 Introduction to Functions
8.3 Polynomial and Rational Functions

Integrated Review - Linear Equations in Two Variables and Functions


8.4 Interval Notation, Finding Domains and Ranges from Graphs, and Graphing Piecewise-Defined Functions
8.5 Shifting and Reflecting Graphs of Functions
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review


Systems of Equations and Inequalities and Variation

9.1 Solving Systems of Linear Equations in Three Variables and Problem Solving
9.2 Solving Systems of Equations Using Matrices

Integrated Review - Systems of Linear Equations


9.3 Systems of Linear Inequalities
9.4 Variation and Problem Solving
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review


Rational Exponents, Radicals, and Complex Numbers

10.1 Radical Expressions and Radical Functions
10.2 Rational Exponents
10.3 Simplifying Radical Expressions
10.4 Adding, Subtracting, and Multiplying Radical Expressions
10.5 Rationalizing Numerators and Denominators of Radical Expressions

Integrated Review - Radicals and Rational Exponents


10.6 Radical Equations and Problem Solving
10.7 Complex Numbers
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review


Quadratic Equations and Functions

11.1 Solving Quadratic Equations by Completing the Square
11.2 Solving Quadratic Equations by Using 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
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review


Exponential and Logarithmic Functions

12.1 The Algebra of Functions
12.2 Inverse Functions
12.3 Exponential Functions
12.4 Exponential 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
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review


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
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review



Appendices

A. Transition Review: Exponents, Polynomials, and Factoring Strategies
B. Transition Review: Solving Linear and Quadratic Equations
C. Sets and Compound Inequalities
D. Absolute Value Equations and Inequalities
E. Determinants and Cramer’s Rule
F. Review of Angles, Lines, and Special Triangles
G. Stretching and Compressing Graphs of Absolute Value Functions
H. An Introduction to Using a Graphing Utility