# Beginning &Intermediate Algebra

**by**Martin-Gay, Elayn

### 9780136007319

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## Summary

## 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 originated 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

Review of Real Numbers | |

Tips for Success in Mathematics | |

Symbols and Sets of Numbers | |

Fractions | |

Introduction to Variable Expressions and Equations | |

Adding Real Numbers | |

Subtracting Real Numbers | |

Integrated Review - Operations on Real Numbers | |

Multiplying and Dividing Real Numbers | |

Properties of Real Numbers | |

Equations and Problem Solving | |

Simplifying Expressions | |

The Addition and Multiplication Properties of Equality | |

Solving Linear Equations | |

Integrated Review - Solving Linear Equations | |

An Introduction to Problem Solving | |

Formulas and Problem Solving | |

Percent and Mixture Problem Solving | |

Further Problem Solving | |

Solving Linear Inequalities | |

Graphing | |

Reading Graphs and the Rectangular Coordinate System | |

Graphing Linear Equations | |

Intercepts | |

Slope and Rate of Change | |

Integrated Review - Summary on Slope and Graphing Linear Equations | |

The Slope-Intercept Form | |

The Point-Slope Form | |

Functions | |

Systems of Linear Equations | |

Solving Systems of Linear Equations by Graphing | |

Solving Systems of Linear Equations by Substitution | |

Solving Systems of Linear Equations by Addition | |

Integrated Review - Solving Systems of Equations | |

Solving Systems of Linear Equations in Three Variables | |

Systems of Linear Equations and Problem Solving | |

Exponents and Polynomials | |

Exponents | |

Polynomial Functions and Adding and Subtracting Polynomials | |

Multiplying Polynomials | |

Special Products | |

Integrated Review - Exponents and Operations on Polynomials | |

Negative Exponents and Scientific Notation | |

Dividing Polynomials | |

Synthetic Division and the Remainder Theorem | |

Factoring Polynomials | |

The Greatest Common Factor and Factoring by Grouping | |

Factoring Trinomials of the Form x2 + bx + c | |

Factoring Trinomials of the Form ax2 + bx + c and Perfect Square Trinomials | |

Factoring Trinomials of the Form ax2 + bx + c by Grouping | |

Factoring Binomials | |

Integrated Review-Choosing a Factoring Strategy | |

Solving Quadratic Equations by Factoring | |

Quadratic Equations and Problem Solving | |

Rational Expressions | |

Rational Functions and Simplifying Rational Expressions | |

Multiplying and Dividing Rational Expressions | |

Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominator | |

Adding and Subtracting Rational Expressions with Unlike Denominators | |

Solving Equations Containing Rational Expressions | |

Integrated Review-Summary on Rational Expressions | |

Proportion and Problem Solving with Rational Equations | |

Simplifying Complex Fractions | |

More on Functions and Graphs | |

Graphing and Writing Linear Functions | |

Graphing Nonlinear Functions | |

Integrated Review - Summary on Functions and Equations of Lines | |

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

Variation and Problem Solving | |

Inequalities and Absolute Value | |

Compound Inequalities | |

Absolute Value Equations | |

Absolute Value Inequalities | |

Integrated Review - Solving Compound Inequalities and Absolute Value Equations and Inequalities | |

Linear Inequalities in Two Variables and Systems of Linear Inequalities | |

Rational Exponents, Radicals, and Complex Numbers | |

Radicals and Radical Functions | |

Rational Exponents | |

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Table of Contents provided by Publisher. All Rights Reserved. |