8th Grade · Expressions & Equations

Isolate

8.EE.C.8b

Definition

To get a variable by itself on one side of an equation using inverse operations. This is the goal when solving and the first step in substitution.

Examples

  • 3x+6 = 15: subtract 6 to get 3x = 9, divide by 3 to get x = 3.
  • Solve x+y = 7 for y: y = 7-x.

Key rule

Use inverse operations to move every other term away from the variable.

Memory hook

Get the variable alone on one side.