# Intermediate Algebra Workbook

This workbook was created through the efforts of instructors at Scottsdale Community College in Scottsdale, Arizona, has been used by thousands of students, and is continually improved. This workbook contains have lessons that were carefully and thoughtfully crafted to lead students on a path to understanding numbers and arithmetic.

Each lesson is broken into four parts, which an instructor can use some or all of:

- A Minilesson, in a workbook format, which can either be worked through in-class via lecture or groupwork, or through video lessons available on the Scottsdale Math blog or inside MyOpenMath.
- Practice problems
- A short assessment
- Online homework in MyOpenMath

The printed version of the workbook is available in looseleaf from the printing company listed to above; contact them for pricing and ordering information

License:

**Creative Commons Attribution Sharealike**. This license is considered to be some to be the most open license. It allows reuse, remixing, and distribution (including commercial), but requires any remixes use the same license as the original. This limits where the content can be remixed into, but on the other hand ensures that no-one can remix the content then put the remix under a more restrictive license.Formats:

**DOC**. A DOC file can be opened using Microsoft Word or OpenOffice.org. It is an editable format**PDF**. A Portable Document Format (PDF) file is can be opened using the free Acrobat Reader. It is not an editable format.

Openness Rating (0-4): 3

Openness Comments: Word files are available from the authors on request.

- Lesson 1 - Introduction to Functions
- Section 1.1 - What is a Function?
- Section 1.2 - Multiple Representations of Functions
- Section 1.3 - Function Notation
- Section 1.4 - Domain and Range
- Section 1.5 - Applications of Functions

- Lesson 2 - Functions and Function Operations
- Section 2.1 - Combining Functions
- Section 2.2 - Applications of Function Operations
- Section 2.3 - Composition of Functions
- Section 2.4 - Applications of Function Composition

- Lesson 3 - Linear Equations and Functions
- Section 3.1 - Linear Equations and Functions
- Section 3.2 - Graphs of Linear Functions
- Section 3.3 - Horizontal and Vertical Lines
- Section 3.4 - Writing the Equation of a Line

- Lesson 4 - Linear Functions and Applications
- Section 4.1 - Review of Linear Functions
- Section 4.2 - Average Rate of Change
- Section 4.3 - Scatterplots on the Graphing Calculator
- Section 4.4 - Linear Regression
- Section 4.5 - Multiple Ways to Determine the Equation of a Line

- Lesson 5 - Introduction to Exponential Functions
- Section 5.1 - Linear Functions vs. Exponential Functions
- Section 5.2 - Characteristics of Exponential Functions
- Section 5.3 - Solving Exponential Equations by Graphing
- Section 5.4 - Applications of Exponential Functions

- Lesson 6 - More Exponential Functions
- Section 6.1 - Writing Exponential Models
- Section 6.2 - Doubling Time and Halving Time
- Section 6.3 - Exponential Regression

- Lesson 7 - Logarithms and Logarithmic Functions
- Section 7.1 - Introduction to Logarithms
- Section 7.2 - Computing Logarithms
- Section 7.3 - Characteristics of Logarithmic Functions
- Section 7.4 - Solving Logarithmic Equations
- Section 7.5 - Solving Exponential Equations Algebraically and Graphically
- Section 7.6 - Using Logarithms as a Scaling Tool

- Lesson 8 - Introduction to Quadratic Functions
- Section 8.1 - Characteristics of Quadratic Functions
- Section 8.2 - Solving Quadratic Equations Graphically
- Section 8.3 - Applications of Quadratic Functions
- Section 8.4 - Quadratic Regression

- Lesson 9 - Solving Quadratic Equations
- Section 9.1 - Quadratic Equations in Standard Form
- Section 9.2 - Factoring Quadratic Expressions
- Section 9.3 - Solving Quadratic Equations by Factoring
- Section 9.4 - The Quadratic Formula
- Section 9.5 - Complex Numbers
- Section 9.6 - Complex Solutions to Quadratic Equations

- Lesson 10 - Radical Functions
- Section 10.1 - Roots, Radicals, and Rational Exponents
- Section 10.2 - Square Root Functions - Key Characteristics
- Section 10.3 - Cube Root Functions - Key Characteristics
- Section 10.4 - Radical Functions - Key Characteristics
- Section 10.5 - Solve Radical Equations by Graphing
- Section 10.6 - Solve Radical Equations Algebraically

- Lesson 11 -Rational Functions
- Section 11.1 - Characteristics of Rational Functions
- Section 11.2 - Solving Rational Equations
- Section 11.3 - Applications of Rational Functions

- Lesson 12 - Course Review
- Section 12.1 - Overview of Functions
- Section 12.2 - Solving Equations
- Section 12.3 - Mixed Applications

Supplements:

**MyOpenMath / Lumen OHM online homework**. MyOpenMath is a free online homework system, built on the open source IMathAS assessment platform. It provides randomized, algorithmically generated homework with automated grading of numerical and algebraic answers, similar to WebAssign and MyMathLab. It also provides a course management system with gradebook, file posting, discussion forums, etc. Assessment sets have been created for this textbook, which may be available for self-study by students, or can copied as a starter course shell by faculty.

MyOpenMath use is free with community support through forums. For Washington State faculty, the WAMAP.org site also mirrors this content.

Lumen OHM is a commercial alternative to MyOpenMath that provides support for faculty and large scale adoption and administration, service level agreements, and additional curated course bundles.**Videos**. See the comments below for details.**CourseWare package**. Courseware packages typically include a course structure with syllabus, some form of homework assignments, and some type of assessments. They may also include: videos, lecture notes, handouts, worksheets, quizzes, etc. See comments below for details

Notes: This is a comprehensively design course packet, intended to be customizable for use in face-to-face, hybrid, and online courses.