# 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.

• ### Basic Lesson

Guides students solving equations that involve absolute value expressions. Demonstrates answer checking. Find the value of the number expression |-4|.

• ### Intermediate Lesson

Demonstrates how to solve more difficult problems. If the domain is the set of signed numbers, find the solution set for: |x| = 8 set of signed number is (x,-x).

• ### Independent Practice 1

A really great activity for allowing students to understand the concept of absolute value.

• ### Independent Practice 2

Students find the absolute value in assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with problems to achieve the concepts of Absolute Value.

• ### Skill Quiz

This tests the students ability to evaluate math statements with absolute value.

• ### Answer Key

Answers for math worksheets, quiz, homework, and lessons.

#### 11 PM is the Cut Off...

Golden rule of deriving: never trust any result that was proved after 11 PM.