In this lecture you will cover Equations with Absolute Value. First, you will learn what exactly is absolute value with examples on a number line. Next up is the absolute value function and how to solve absolute value equations by first splitting it into two parts and then solving both equations.
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.
*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.
Equations with Absolute Value
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.