In this lesson we'll see how to solve equations that have absolute values. First thing is to understand the definition of the absolute value. We can remove the absolute value, but we have to consider two possibilities when doing so. For example, if we had |x|=2, then x could be 2, but it could also be negative 2, since these two numbers have the same absolute value. There are some steps that you should follow when solving equations with absolute values. The first one is to isolate the absolute value. The second one is to split the problem into two problems. You'll see how to solve from here in the video.
When working with an expression inside an inequality, we must account for the expression being either positive or negative during the solving process. We do this by isolating the absolute value, then splitting the problem into two.
It is a good idea to check your work on these problems by substituting the solution back in the original.
*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.
Solving 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.