Absolute Value Equations Worksheets

What Are Absolute Value Equations? An equation having the absolute value of the expression is called absolute value equations. It is represented by |x|=a. It is usually written in modulus form such as |x|=a. The equation of such type has two solutions which include x = a and x = -a. It represents that both the numbers are at a distance from 0. If you encounter a problem having absolute equations, then you can solve it by making two different equations and then address them individually. For example; |x+8|=16
|x+8|=16 The solution goes as follows; x+8=16. Now subtracting 8 from both sides x + 8 - 8 = 16 - 8. Therefore, x= 8 The other way of solving the absolute value equations is as such; x + 8 = -16. In order to remove the modulus sign, we must encounter the change of the sign (i.e., either positive or negative). Now subtracting 8 from both sides, we get x + 8 - 8 = -16 - 8, x= -24. However, this represents that the absolute value equation with a negative number has no solution. Have you ever heard of a distance that you travel in a negative way? That is why the solution to such an equation is not possible.

H.L. Mencken

The best teacher is not the one who knows most, but the one who is most capable of reducing knowledge to that simple compound of the obvious and wonderful...