Practice Equivalence Transformation in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Operations applied to both sides of an equation that transform its form while leaving its solution set completely unchanged.
Whatever you do to one side, do to the other — the balance stays true.
Example 1
easyStarting from x + 5 = 12, apply an equivalence transformation to solve.
Example 2
mediumWhy is squaring both sides of an equation NOT always an equivalence transformation?
Example 3
easyWhat equivalence transformation converts 3x = 15 to x = 5?
Example 4
mediumWhy must we NOT multiply both sides of an equation by 0?