# Intermediate Algebra

**by**Gustafson, R. David; Karr, Rosemary; Massey, Marilyn

9th

### 9780495831426

0495831425

Hardcover

1/1/2010

Brooks Cole

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## Summary

The new edition of INTERMEDIATE ALGEBRA is an exciting and innovative revision that takes an already successful text and makes it more compelling for today's instructor and student. The new edition has been thoroughly updated with a new interior design and other pedagogical features that make the user both easier to read and easier to use. Known for its clear writing and an engaging, accessible approach that makes algebra relevant, INTERMEDIATE ALGEBRA helps users to develop problem-solving skills and strategies that they can use in their everyday lives. The new edition welcomes two new co-authors Rosemary Karr and Marilyn Massey who along with David Gustafson have developed a learning plan to help users succeed in Intermediate Algebra and transition to the next level in their coursework.

## Table of Contents

A Review of Basic Algebra | |

The Real Number System | |

Arithmetic and Properties of Real Numbers | |

Exponents | |

Scientific Notation | |

Solving Linear Equations in One Variable | |

Using Linear Equations to Solve Application Problems | |

Projects | |

Chapter Review | |

Chapter 1 Test | |

Graphs, Equations of Lines, and Functions | |

Graphing Linear Equations | |

Slope of a Line | |

Writing Equations of Lines | |

Introduction to Functions | |

Graphs of Other Functions | |

Projects | |

Chapter Review | |

Chapter 2 Test | |

Cumulative Review Exercises | |

Systems of Linear Equations | |

Solving Systems of Two Linear Equations by Graphing | |

Solving Systems of Two Linear Equations by Elimination (Addition) | |

Solving Systems of Three Linear Equations in Three Variables | |

Solving Systems of Linear Equations Using Matrices | |

Solving Systems of Linear Equations Using Determinants | |

Projects | |

Chapter Review | |

Chapter 3 Test | |

Inequalities | |

Solving Linear Inequalities in One Variable | |

Solving Equations and Inequalities in One Variable Containing Absolute Values | |

Solving Linear Inequalities in One or Two Variables | |

Solving Systems of Quadratic Inequalities in Two Variables | |

Solving Systems Using Linear Programming | |

Projects | |

Chapter Review | |

Chapter 4 Test | |

Cumulative Review Exercises | |

Polynomials and Polynomial Functions | |

Polynomials and Polynomial Functions | |

Adding and Subtracting Polynomials | |

Multiplying Polynomials | |

The Greatest Common Factor and Factoring by Grouping | |

The Difference of Two Squares; the Sum and Difference of Two Cubes | |

Factoring Trinomials | |

Summary of Factoring Techniques | |

Solving Equations by Factoring | |

Projects | |

Chapter Review | |

Chapter 5 Test | |

Rational Expressions | |

Finding the Domain of Rational n and Simplifying Rational Expressions | |

Multiplying and Dividing Rational Expressions | |

Adding and Subtracting Rational Expressions | |

Simplifying Complex Fractions | |

Solving Equations Containing Rational Expressions | |

Dividing Polynomials | |

Synthetic Division | |

Proportion and Variation | |

Projects | |

Chapter Review | |

Chapter 6 Test | |

Cumulative Review Exercises | |

Radicals and Rational Exponents | |

Radical Expressions | |

Applications of the Pythagorean Theorem and the Distance Formula | |

Rational Exponents | |

Simplifying and Combining Radical Expressions | |

Multiplying and Dividing Radical Expressions | |

Radical Equations | |

Complex Numbers | |

Projects | |

Chapter Review | |

Chapter 7 Test | |

Quadratic Functions, Inequalities, and Algebra of Functions | |

Solving Quadratic Equations Using the Square Root Property and by Completing the Square | |

Solving Quadratic Equations by the Quadratic Formula | |

The Discriminant and Equations That Can Be Written in Quadratic Form. | |

Graphs of Quadratic Functions | |

Quadratic and Other Nonlinear Functions | |

Algebra and Composition of Functions | |

Inverses of Functions | |

Projects | |

Chapter Review | |

Chapter 8 Test | |

Cumulative Review Exercises | |

Exponential and Logarithmic Functions | |

Exponential Functions | |

Base-e Exponential Functions | |

Logarithmic Functions | |

Natural Logarithms | |

Properties of Logarithms | |

Exponential and Logarithmic Equations | |

Projects | |

Chapter Review | |

Chapter 9 Test | |

Conic Sections and More Graphing | |

The Circle and the Parabola | |

The Ellipse | |

The Hyperbola | |

Solving Systems Containing Second-Degree Equations | |

Piecewise-Defined Functions and the Greatest Inteher Function | |

Projects | |

Chapter Review | |

Chapter 10 Test | |

Cumulative Review Exercises | |

Miscellaneous Topics | |

The Binomial Theorem | |

Finding the nth Term of a Binomial Expansion | |

Arithmetic Sequences | |

Geometric Sequences | |

Infinite Geometric Sequences | |

Permutations and Combinations | |

Probability | |

Projects | |

Chapter Review | |

Chapter 11 Test | |

Cumulative Review Exercises | |

Glossary | |

Symmetries of Graphs | |

Sample Final Examination | |

Tables | |

Powers and Roots | |

Base-10 Logarithms | |

Base-e Logarithms | |

Answers to Selected Exercises | |

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