# Intermediate Algebra / Edition 10

ISBN-10: 0321388259

ISBN-13: 9780321388254

Pub. Date: 01/20/2006

Intended for students who have a firm background in introductory algebra, this text is appropriate for a one-term course in intermediate algebra.

## Overview

Intended for students who have a firm background in introductory algebra, this text is appropriate for a one-term course in intermediate algebra.

## Product Details

ISBN-13:
9780321388254
Publisher:
Publication date:
01/20/2006
Edition description:
Older Edition
Product dimensions:
8.70(w) x 10.94(h) x 1.07(d)

## Related Subjects

Review of Basic Algebra.
Pretest.

I. OPERATIONS.

The Set of Real Numbers.

Operations with Real Numbers.

Exponential Notation and Order of Operations.

II. MANIPULATIONS.

Introduction to Algebraic Expressions.

Equivalent Algebraic Expressions.

Simplifying Algebraic Expressions.

Properties of Exponents and Scientific Notation.

1. Solving Linear Equations and Inequalities.
Solving Equations.
Formulas and Applications.
Applications and Problem Solving.
Sets, Interval Notation, and Inequalities.
Intersections, Unions, and Compound Inequalities.
Absolute-Value Equations and Inequalities.

2. Graphs, Functions, and Applications.
Graphs of Equations.
Linear Equations: Graphs and Slope.
More on Graphing Linear Equations.
Finding Equations of Lines.
Mathematical Modeling with Linear Equations.

3. Systems of Equations.
Systems of Equations in Two Variables.
Solving by Substitution or Elimination.
Solving by Applications: Systems of Two Equations.
Systems of Equations inThree Variables.
Solving Applications: Systems of Three Equations.
Systems of Linear Inequalities in Two Variables.

4. Polynomials and Polynomial Function.
Introduction to Polynomials and Polynomial Equations.
Multiplication of Polynomials.
Introduction to Factoring.
Factoring Trinomials ax2 + bx + c, a …Ö 1.
Special Factoring.
Factoring: A General Strategy.
Applications of Polynomial Equations.

5. Rational Expressions, Equations and Functions.
Rational Expressions: Multiplying, Dividing, and Simplifying.
Division of Polynomials.
Complex Rational Expressions.
Solving Rational Equations.
Applications and Problem Solving.
Formulas and Applications.
Variation and Applications.

6. Radical Expressions, Equations and Functions.
Rational Numbers as Exponents.
More on Division of Radical Expressions.
Applications Involving Powers and Roots.
The Complex Numbers.

The Basics of Solving Quadratic Equations.
Graphs of Quadratic Functions of the Type f(x) = a(x - h)2 + k.
Graphs of Quadratic Functions of the Type f(x) = ax2 + bx + c.
Polynomial and Rational Inequalities.

8. Exponential and Logarithmic Functions.
Exponential Functions.
Inverse and Composite Functions.
Logarithmic Functions.
Properties of Logarithmic Functions.
Natural Logarithmic Functions.
Solving Exponential and Logarithmic Equations.
Mathematical Modeling with Exponential and Logarithmic Functions.

9. Conic Sections.
Conic Sections: Parabolas and Circles.
Conic Sections: Ellipses.
Conic Sections: Hyperbolas.
Nonlinear Systems of Equations.

APPENDIXES.

A. Handling Dimension Symbols.
B. Determinants and Cramer's Rule.
C. Elimination Using Matrices.
D. The Algebra of Functions.

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