INSTRUCTORS Carleen Eaton Grant Fraser Eric Smith

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### Equations with Absolute Values

• The absolute value of a number is its distance from zero on the number line.

• The absolute value of x is written as |x|. It is always 0 or positive.

• If |x| = a, the either x = a or x = -a. To solve an absolute value equation, solve both of these equations. The solution of the absolute value equation consists of all solutions to each of these equations.

• An absolute value equation can have no solution.

• The graph of the absolute value function has the shape of the letter V. The graph can be translated vertically or horizontally depending on the constants involved in the function.

### Equations with Absolute Values

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

• Intro 0:00
• Absolute Value 0:15
• Example: Distance
• Absolute Value Function 2:34
• Example
• Lecture Example 1 4:57
• Lecture Example 2 8:28