Intermediate Algebra Sample Test Questions

I have added two worksheets that are to accompany the free to read online Intermediate Algebra textbook.

[ Algebra Fundamentals - Chapter 1 ]

[ Graphing Functions and Inequalities - Chapter 2 ]

Remember that you can find a complete list of visually searchable videos that accompany these chapters by clicking the link below.

Intermediate Algebra -- Visually searchable YouTube playlist. 

Instructors: You can find more worksheets by clicking the Intermediate Algebra Textbook link on this site. Please feel free to cut-and-paste anything you find here into your course.

Absolute Value Inequality: A Graphical Approach

An absolute value inequality, such as,

can be solved as follows:

We can visualize these solutions if we graph the function,

in the rectangular coordinate plane and determine where the graph lies below the horizontal line given by .  In other words, for what x-values is

This idea is illustrated below:

Furthermore, we could use the same graph to visualize the solutions to,

We can see that the solutions are,

Now take the time to compare this visualization to that given on Wolfram Alpha.  Remember, it is always helpful to understand the geometric interpretation whenever possible.