8th Grade · Expressions & Equations

Inverse Operation

8.EE.C.7b

Definition

The operation that reverses another, such as subtraction undoing addition or division undoing multiplication. Used to isolate the variable when solving equations.

Examples

  • For 2x+3=11: subtract 3 (inverse of +3), then divide by 2 (inverse of ×2).
  • Undo operations in reverse order — addition/subtraction first, then multiplication/division.

Key rule

Apply the same inverse operation to both sides to keep the equation balanced.

Memory hook

Undo each operation with its opposite.