Absolute Value Worksheets

How to Find the Absolute Value Within Expressions - Absolute value is an essential element for calculating algebraic expression on the advanced level. However, considering the importance of the absolute value, learning how to resolve them is crucial. Now, let us learn the step-by-step procedures to solve expressions with absolute values, by using the expression |2x - 1| = 5. The first step is to isolate the absolute value by using both positive and negative integer of 5.
2x - 1 = +5
2x - 1 = -5
Now, let us solve the equation one by one. 2x - 1 =+ 5
2x = + 5 + 1
x = 3

Next Example: 2x - 1 = -5
2x = -5 + 1
x = -2
Now, the values of x are –2, and 3. However, for an absolute function, there is a possibility that both values cannot belong to it. Thus, we will now verify the answers. |2x - 1| = 5 for x = 3
|2×3-1| = 5
5 = 5

|2x - 1| =5 for x = -2
|2× - 2 - 1| = 5
5 = 5
Thus, both values belong to the expression.