Practice Algebraic Manipulation in Math

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

Quick Recap

Algebraic manipulation is the process of rewriting expressions or equations into equivalent forms to reveal structure or solve for unknowns.

It is like rearranging a sentence without changing its meaning.

Example 1

easy
Simplify 2(x + 3) - x.

Example 2

medium
Solve for y: 3y - 2(y + 4) = y + 6.

Example 3

easy
Simplify 5x - 3 + 2x + 7.

Example 4

medium
Rearrange V = \frac{1}{3}\pi r^2 h to solve for h.