Intermediate Algebra

A free intermediate algebra text distributed to all students at College of the Redwoods who are enrolled in one of our intermediate algebra courses.

All parts of this intermediate algebra textbook are copyrighted in the name Department of Mathematics, College of the Redwoods. They are not in the public domain. However, they are being made available free for use in educational institutions. This offer does not extend to any application that is made for profit. Users who have such applications in mind should contact David Arnold or Bruce Wagner at David-Arnold@redwoods.edu or Bruce-Wagner@redwoods.edu.

This work (including all text, photographs, Portable Document Format files, and any other original works), except where otherwise noted, is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License, and is copyrighted © 2006, Department of Mathematics, College of the Redwoods.

The textbook is in pdf format, which can be viewed and printed using the free Acrobat Reader software available from http://www.adobe.com/products/acrobat/readstep2_allversions.html. Important Note: It is important that you have the most recent update of Acrobat Reader that is compatible with your operating system.

Instructions: A Guide to this Web site

Textbook Title Page

Solution Manual Title Page

License

Acknowledgments

Chapter 1: Preliminaries

Section 1: Number Systems

Section 2: Solving Equations

Section 3: Logic

Section 4: Compound Inequalities

The following two files are included for convenience. The first combines all of the above Exercises with Answers sets into one file, and the second combines all of the Exercises with Solutions sets into one file.
- Chapter 1: Exercises with Answers (all sections combined)
- Chapter 1: Exercises with Solutions (all sections combined)

Chapter 2: Functions

Section 1: Introduction to Functions

Section 2: The Graph of a Function

Section 3: Interpreting the Graph of a Function

Section 4: Solving Equations and Inequalities by Graphing

Section 5: Vertical Geometric Transformations

Section 6: Horizontal Geometric Transformations

The following two files are included for convenience. The first combines all of the above Exercises with Answers sets into one file, and the second combines all of the Exercises with Solutions sets into one file.
- Chapter 2: Exercises with Answers (all sections combined)
- Chapter 2: Exercises with Solutions (all sections combined)

Chapter 3: Linear Functions

Section 1: Linear Models

Section 2: Slope

Section 3: Equations of Lines

Section 4: Point-Slope Form of a Line

Section 5: The Line of Best Fit

The following two files are included for convenience. The first combines all of the above Exercises with Answers sets into one file, and the second combines all of the Exercises with Solutions sets into one file.
- Chapter 3: Exercises with Answers (all sections combined)
- Chapter 3: Exercises with Solutions (all sections combined)

Chapter 4: Absolute Value Functions

Section 1: Piecewise-Defined Functions

Section 2: Absolute Value

Section 3: Absolute Value Equations

Section 4: Absolute Value Inequalities

The following two files are included for convenience. The first combines all of the above Exercises with Answers sets into one file, and the second combines all of the Exercises with Solutions sets into one file.
- Chapter 4: Exercises with Answers (all sections combined)
- Chapter 4: Exercises with Solutions (all sections combined)

Chapter 5: Quadratic Functions

Section 1: The Parabola

Section 2: Vertex Form

Section 3: Zeros of the Quadratic

Section 4: The Quadratic Formula

Section 5: Motion

Section 6: Optimization

The following two files are included for convenience. The first combines all of the above Exercises with Answers sets into one file, and the second combines all of the Exercises with Solutions sets into one file.
- Chapter 5: Exercises with Answers (all sections combined)
- Chapter 5: Exercises with Solutions (all sections combined)

Chapter 6: Polynomial Functions

Section 1: Polynomial Functions

Section 2: Zeros of Polynomials

Section 3: Extrema and Models

The following two files are included for convenience. The first combines all of the above Exercises with Answers sets into one file, and the second combines all of the Exercises with Solutions sets into one file.
- Chapter 6: Exercises with Answers (all sections combined)
- Chapter 6: Exercises with Solutions (all sections combined)

Chapter 7: Rational Functions

Section 1: Introducing Rational Functions

Section 2: Reducing Rational Functions

Section 3: Graphing Rational Functions

Section 4: Products and Quotients of Rational Functions

Section 5: Sums and Differences of Rational Functions

Section 6: Complex Fractions

Section 7: Solving Rational Equations

Section 8: Applications of Rational Functions

The following two files are included for convenience. The first combines all of the above Exercises with Answers sets into one file, and the second combines all of the Exercises with Solutions sets into one file.
- Chapter 7: Exercises with Answers (all sections combined)
- Chapter 7: Exercises with Solutions (all sections combined)

Chapter 8: Exponential and Logarithmic Functions

Section 1: Exponents and Roots

Section 2: Exponential Functions

Section 3: Applications of Exponential Functions

Section 4: Inverse Functions

Section 5: Logarithmic Functions

Section 6: Properties of Logarithms; Solving Exponential Equations

Section 7: Exponential Growth and Decay

Section 8: Additional Topics

The following two files are included for convenience. The first combines all of the above Exercises with Answers sets into one file, and the second combines all of the Exercises with Solutions sets into one file.
- Chapter 8: Exercises with Answers (all sections combined)
- Chapter 8: Exercises with Solutions (all sections combined)

Chapter 9: Radical Functions

Section 1: The Square Root Function

Section 2: Multiplication Properties of Radicals

Section 3: Division Properties of Radicals

Section 4: Radical Expressions

Section 5: Radical Equations

Section 6: The Pythagorean Theorem

The following two files are included for convenience. The first combines all of the above Exercises with Answers sets into one file, and the second combines all of the Exercises with Solutions sets into one file.
- Chapter 9: Exercises with Answers (all sections combined)
- Chapter 9: Exercises with Solutions (all sections combined)