Practice Balance Principle in Math

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

Quick Recap

The rule that any operation applied to one side of an equation must also be applied to the other side to preserve equality.

An equation is like a balanced scaleβ€”add weight to both sides equally.

Example 1

easy
Solve \(x + 7 = 15\) using the balance principle.

Example 2

medium
Solve \(3x - 4 = 14\) using the balance principle, showing all steps.

Example 3

easy
Solve \(n - 9 = 6\) using the balance principle.

Example 4

medium
Solve \(\frac{x}{4} + 3 = 10\).