Practice Isolating Variable in Math

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

Quick Recap

Rearranging an equation by applying inverse operations until the variable stands alone on one side.

Peel away everything around x until only x remains: x = answer.

Example 1

easy
Isolate y in 2x + y = 10.

Example 2

medium
Solve A = \frac{1}{2}bh for h.

Example 3

medium
Solve for y: 3(2y - 4) + 5 = 2y + 9

Example 4

easy
Isolate x in x - 7 = 3.

Example 5

hard
Solve P = 2l + 2w for w.