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Absolute Value Formula

Absolute value of a number is the positive value of a number regardless of its sign. The absolute value is also referred as the distance from 0 on a number line.

Absolute Value Formula can be expressed as,

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Absolute Value Problems

Solved problems based on absolute value are given below:

Solved Examples

Question 1: What is the value of 2 | 5x - 1 | if x = - 2?
Solution:

2 | 5x - 1 | = 2 | 5 (-2) - 1 |
2 | 5x - 1 | = 2 | -10 - 1 |
2 | 5x - 1 | = 2 | -11 |
2 | 5x - 1 | = 2 | 11 |
2 | 5x - 1 | = 22

Question 2: Solve 4 | x - 2 | = 16
Solution:

4 | x - 2 | = 16

| x - 2 | = $\frac{16}{4}$

| x - 2 | = 4

x - 2 = 4 or x - 2 = - 4

x = 4 + 2 or x = - 4 + 2

x = 6 or - 2

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