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# Intermediate Algebra

**by**Martin-Gay, Elayn

5th

### 9780131444416

0131444417

Hardcover w/CD

1/1/2009

Prentice Hall

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## Summary

Intermediate Algebra is 1-semester gateway course to other college-level mathematics courses. The goal of the Intermediate Algebra course is to provide students with the mathematical skills that are prerequisites for courses such as College Algebra, Elementary Statistics, Liberal-Arts Math and Mathematics for Teachers.

## Table of Contents

Real Numbers And Algebraic Expressions | |

Tips for Success in Mathematics | |

Algebraic Expressions and Sets of Numbers | |

Operations on Real Numbers | |

Properties of Real Numbers | |

Equations, Inequalities, And Problem Solving | |

Linear Equations in One Variable | |

An Introduction to Problem Solving | |

Formulas and Problem Solving | |

Linear Inequalities and Problem Solving | |

Compound Inequalities | |

Absolute Value Equations | |

Absolute Value | |

Inequalities | |

Graphs and Functions | |

Graphing Equations | |

Introduction to Functions | |

Graphing Linear Functions | |

The Slope of a Line | |

Equations of Lines | |

Graphing Linear | |

Inequalities | |

Systems of Equations | |

Solving Systems of Linear Equations in Two Variables | |

Solving Systems of Linear Equations in Three Variables | |

Systems of Linear Equations and Problem Solving | |

Solving Systems of Equations by Matrices | |

Solving Systems of Equations by Determinants | |

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 | |

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 | |

Synthetic Division and the Remainder Theorem | |

Solving 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 | |

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 | |

Nonlinear Inequalities in One Variable | |

Quadratic Functions and Their Graphs | |

Further Graphing of Quadratic Functions | |

Exponential and Logarithmic Functions | |

The Algebra of Functions | |

Composite Functions | |

Inverse Functions | |

Exponential Functions | |

Logarithmic Functions | |

Properties of Logarithms | |

Common Logarithms, Natural Logarithms, and Change of Base | |

Exponential and Logarithmic Equations and Applications | |

Conic Sections | |

The Parabola and the Circle | |

The Ellipse and the Hyperbola | |

Solving Nonlinear Systems of Equations | |

Nonlinear Inequalities and Systems of Inequalities | |

Sequences, Series, and the Binomial Theorem | |

Sequences. Arithmetic and Geometric Sequences | |

Series. Partial Sums of Arithmetic and Geometric Sequences | |

The Binomial Theorem | |

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