Algebra

Elayn Martin-Gay, University of New Orleans 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.    Prentice Hall is pleased to announce the new Third Editions of Basic College Mathematics, Introductory Algebra, Intermediate Algebra, and Algebra A Combined Approach and two new first editions, Basic College Mathematics with Early Integers, and Developmental Mathematics. Elayn Martin-Gay also authors a best-selling ©2005 hardback series in developmental mathematics.   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 originated the Chapter Test Prep Video CDs to help students during their most “teachable moment” ---as they prepare for a test.   Elayn’s experience has made her aware of how busy instructors are and what a difference quality supports make. For this reason, she created the Instructor-to-Instructor video series. These videos provide instructors with suggestions for presenting specific math topic 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 CDs useful for review. They are a great resource for suggestions regarding areas they may wish to emphasize, or common trouble areas students experience, that instructors my wish to highlight.   With her textbooks series, the Chapter Test Prep Video Cd, and CD Lecture series, Elayn has sought to put success within the reach of every student and instructor.

Chapter R  Prealgebra Review R.1  Factors and the Least Common Multiple

R.2  Fractions

R.3  Decimals and Percents

 

Chapter 1  Real Numbers and Introduction to Algebra 1.1  Tips for Success in Mathematics

1.2  Symbols and Sets of Numbers

1.3  Exponents, 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

 

Chapter 2  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  Solving Linear Inequalities

 

Chapter 3  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 of Linear Equations

3.5  Equations of Lines

3.6  Graphing Linear Inequalities in Two Variables

 

Chapter 4  Systems of Equations 4.1  Solving Systems of Linear Equations by Graphing

4.2  Solving Systems of Linear Equations by Substitution

4.3  Solving Systems of Linear Equations by Addition

Integrated Review–Summary on Solving Systems of Equations

4.4   Systems of Linear Equations and Problem Solving

 

Chapter 5 Exponents and Polynomials 5.1  Exponents

5.2  Negative Exponents and Scientific Notation

5.3  Introduction to Polynomials

5.4  Adding and Subtracting Polynomials

5.5  Multiplying Polynomials

5.6  Special Products

Integrated Review–Exponents and Operations on Polynomials

5.7  Dividing Polynomials

 

Chapter 6  Factoring Polynomials 6.1  The Greatest Common Factor

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 Special Products

Integrated Review–Choosing a Factoring Strategy

6.6  Solving Quadratic Equations by Factoring

6.7  Quadratic Equations and Problem Solving

 

Chapter 7 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 Proportion and Problem Solving with Rational Expressions

7.7 Simplifying Complex Fractions

 

Chapter 8 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

8.4 Interval Notation, Finding Domains and Ranges from Graphs and Graphing Piecewise Defined Functions

8.5 Shifting and Reflecting Graphs of Functions

 

Chapter 9  Systems of Equations and Inequalities, and Variation 9.1 Solving Systems of Linear Equations and Problem Solving in Three Variables

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

 

Chapter 10 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

 

Chapter 11 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

 

Chapter 12  Exponential and Logarithmic Functions 12.1 The Algebra of Functions

12.2 Inverse Functions

12.3 Exponential Functions

12.4 Logarithmic Functions

12.5 Properties of Logarithms

       Integrated Review–Functions and Properties of Logarithms

12.6 Common Logarithms, Natural Logarithms, and Change of Base

12.7 Exponential and Logarithmic Equations and Problem Solving

 

Chapter 13 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

 

  Appendices A  Transition Review: Exponents, Polynomials and Factoring Strategies

B  Transition Review: Solving Linear and Quadratic Equations

C  The Bigger Picture–Simplifying Expressions and Solving Equations

D  Sets and Compound Inequalities

E  Absolute Value Equations and Inequalities

F  Determinants and Cramer’s Rule

G  Review of Angles, Lines and Special Triangles

H  An Introduction to Using a Graphing Utility

I.  Stretching Graphs of Absolute Value Functions