Practice Absolute Value in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Worksheet PDF Free Answer-key PDF Family

Quick Recap

The distance of a number from zero on the number line, always non-negative; written ∣x∣. For any real number, absolute value strips away the sign and returns only the magnitude.

−5 and 5 are both 5 units from zero, so ∣−5∣=∣5∣=5.

Showing a random 20 of 50 problems.

Example 1

medium
Compute (−9)2.

Example 2

challenge
Solve ∣2x−1∣=∣x+4∣.

Example 3

easy
Compute ∣10−4∣.

Example 4

easy
Compute ∣2−9∣.

Example 5

medium
Evaluate ∣x∣ if x=−34.

Example 6

medium
Evaluate ∣3−8∣+∣−2∣−∣5∣.

Example 7

medium
Compute ∣2∣3−∣−3∣2.

Example 8

easy
Compute ∣3−8∣.

Example 9

medium
If x>0, simplify ∣x∣−x.

Example 10

medium
Compute ∣−4∣⋅∣−3∣+∣2∣.

Example 11

medium
If x<0, simplify ∣x∣+x.

Example 12

challenge
For what real x does ∣x−2∣=∣2−x∣ fail?

Example 13

easy
Fill in: ∣−3.5∣= ____.

Example 14

easy
Compute ∣7∣.

Example 15

easy
Compute ∣−8∣.

Example 16

hard
Compute ∣3−π∣+∣π−4∣.

Example 17

easy
Compute ∣−2∣+∣5∣.

Example 18

medium
Solve ∣x−3∣=7.

Example 19

easy
Compute ∣9∣.

Example 20

easy
Compute −∣6∣.
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