Intermediate Algebra : A Graphing Approach

by Martin-Gay, Elayn; Greene, Margaret (Peg)

• ISBN13: 9780136007333
• ISBN10: 0136007333
• Edition: 4th
• Format: Hardcover
• Copyright: 2008-06-11
• Publisher: Pearson

Summary

KEY MESSAGE:Elayn Martin-Gay'sdevelopmental math textbooks and video resources are motivated by her firm belief that every student can succeed. Martin-Gay's focus on the student shapes her clear, accessible writing, inspires her constant pedagogical innovations, and contributes to the popularity and effectiveness of her video resources. This revision of Martin-Gay's algebra series continues her focus on students and what they need to be successful. Martin-Gay also strives to provide the highest level of instructor and adjunct support. Real Numbers, Algebraic Expressions, Equations, Graphs, Functions, Inequalities, Systems of Equations, Exponents, Polynomial Functions, Rational Equations, Rational Exponents, Radicals, Complex Numbers, Quadratic Equations, Exponential & Logorihmic Functions, Conic Sections, and Sequences and Series. For all readers interested in algebra, and for all readers interested in learning or revisiting essential skills in intermediate algebra through the use of lively, up-to-date applications.

Author Biography

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.

 

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 pioneered the Chapter Test Prep Video to help students as they prepare for a test–their most “teachable moment!”

 

Elayn’s experience has made her aware of how busy instructors are and what a difference quality support makes. For this reason, she created the Instructor-to-Instructor video series. These videos provide instructors with suggestions for presenting specific math topics 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.

 

Her textbooks and acclaimed video program support Elayn's passion of helping every student to succeed.

Table of Contents

Real Numbers, Algebraic Expressions, and Equations

Tips for Success in Mathematics

Algebraic Expressions and Sets of Numbers

Operations on Real Numbers

Properties of Real Numbers

Integrated Review Algebraic Expressions, Operations on Real Numbers, and Properties

Solving Linear Equations Algebraically

An Introduction to Problem Solving

A Numerical Approach: Modeling with Tables

Formulas and Problem Solving

Graphs and Functions

Graphing Equations

Introduction to Functions

Graphing Linear Functions

The Slope of a Line

Equations of Lines

Integrated Review Linear Equations in Two Variables

Interpreting Data: Linear Models

Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions

Equations and Inequalities

Solving Linear Equations Graphically

Linear Inequalities and Problem Solving

Integrated Review Linear Equations and Inequalities

Compound Inequalities

Absolute Value Equations

Absolute Value Inequalities

Graphing Linear Inequalities in Two Variables

Systems of Linear Equations and Inequalities

Solving Systems of Linear Equations in Two Variables

Solving Systems of Linear Equations in Three Variables

Systems of Linear Equations and Problem Solving

Integrated Review Systems of Linear Equations

Solving Systems of Equations by Matrices

Systems of Linear Inequalities

Exponents, Polynomials, and Polynomial Functions

Exponents and Scientific Notation

More Work with Exponents and Scientific Notation

Polynomials and Polynomial Functions

Multiplying Polynomials

The Greatest Common Factor and Factoring by Grouping

Factoring Trinomials

Factoring by Special Products

Integrated Review Operations on Polynomials and Factoring Strategies

Solving Equations by Factoring and Problem Solving

Rational Expressions

Rational Functions and Multiplying and Dividing Rational Expressions

Adding and Subtracting Rational Expressions

Simplifying Complex Fractions

Dividing Polynomials: Long Divisions and Synthetic Division

Solving Equations Containing Rational Expressions

Integrated Review Expressions and Equations Containing Rational Expressions

Rational Equations and Problem Solving

Variation and Problem Solving

Rational Exponents, Radicals, and Complex Numbers

Radicals and Radical Functions

Rational Exponents

Simplifying Radical Expressions

Adding, Subtracting, and Multiplying Radical Expressions

Rationalizing Denominators and Numerators of Radical Expressions

Integrated Review Radicals and Rational Exponents

Radical Equations and Problem Solving

Complex Numbers

Quadratic Equations and Functions

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by the Quadratic Formula

Solving Equations by Using Quadratic Methods

Integrated Review Summary on Solving Quadratic Equations

Nonlinear Inequalities in One Variable

Quadratic Functions and Their Graphs

Further Graphing of Quadratic Functions

Interpreting Data: Linear and Quadratic Models

Exponential and Logarithmic Functions

The Algebra of Functions; Composite Functions

Inverse Functions

Exponential Functions

Logarithmic Functions

Properties of Log

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