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Table of Contents

(Each Chapter ends with a Summary, Review Exercises and a Chapter Test. With the exception of Chapter 1, each Chapter also ends with a set of cumulative review exercises.).

List of Applications.


Preface.


An Introduction to Scientific Calculators.


To the Student.


Diagnostic Pretest.


1. Review of the Real Number System.

Basic Concepts.

Operations on Real Numbers.

Exponents, Roots, and Order of Operations.

Properties of Real Numbers.

2. Linear Equations and Applications.

Linear Equations in One Variable.

Formulas.

Applications of Linear Equations.

Further Applications of Linear Equations.

Summary Exercises on Solving Applied Problems.

3. Linear Inequalities and Absolute Value.

Linear Inequalities in One Variable.

Set Operations and Compound Inequalities.

Absolute Value Equations and Inequalities.

Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities.

4. Graphs, Linear Equations, and Functions.

The Rectangular Coordinate System.

Slope.

Linear Equations in Two Variables.

Linear Inequalities in Two Variables.

Introduction to Functions.

Variation.

5. Systems of Linear Equations.

Linear Systems of Equations in Two Variables.

Linear Systems of Equations in Three Variables.

Applications of Linear Systems of Equations.

Solving Linear Systems of Equations by Matrix Methods.

6. Exponents and Polynomials.

Integer Exponents and Scientific Notation.

Adding and Subtracting Polynomials; Polynomial Functions.

Multiplying Polynomials.

Dividing Polynomials.

Synthetic Division.

Greatest Common Factors; Factoring by Grouping.

Factoring Trinomials.

Special Factoring.

Summary Exercises on Factoring.

Solving Equations by Factoring.

7. Rational Expressions.

Rational Expressions and Functions; Multiplying and Dividing.

Adding and Subtracting Rational Expressions.

Complex Fractions.

Graphs and Equations with Rational Expressions.

Summary Exercises on Operations and Equations with Rational Expressions.

Applications of Rational Expressions.

8. Roots and Radicals.

Rational Expressions and Graphs.

Rational Exponents.

Simplifying Radical Expressions.

Adding and Subtracting Radical Expressions.

Multiplying and Dividing Radical Expressions.

Equations with Radical Expressions.

Complex Numbers.

9. Quadratic Equations, Inequalities, and Graphs.

The Square Root Property and Completing the Square.

The Quadratic Formula.

Equations Quadratic in Form.

Formulas and Further Applications.

Graphs of Quadratic Functions.

More About Parabolas; Applications.

Quadratic and Rational Inequalities.

10. Exponential and Logarithmic Functions.

Inverse Functions.

Exponential Functions.

Logarithmic Functions.

Properties of Logarithms.

Common and Natural Logarithms.

Exponential and Logarithmic Equations; Applications.

11. Nonlinear Functions, Conic Sections, and Nonlinear Systems.

Additional Graphs of Functions; Composition.

The Circle and the Ellipse.

The Hyperbola, and Other Functions Defined by Radicals.

Nonlinear Systems of Equations.

Second-Degree Inequalities; Systems of Inequalities.

Appendix.

A. Review of Fractions.

B. Determinants and Cramer's Rule.

Answers to Selected Exercises.


Index.


Videotape Index.

Get Intermediate Algebra with Early Functions and Graphing, 7th Edition by Margaret L. Lial, American River College John Hornsby, University of New Orleans Terry McGinnis

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