Balance Lab

What your child will figure out

• Predict whether an algebra move will keep a visible balance level or make one side heavier.
• Isolate x in one-step and two-step equations by applying equal inverse operations to both sides.
• Use the beam as evidence to explain why one-sided or different operations break equality.
• Transfer the method to a novel equation, then continue generated practice as the challenge adapts.

The levels

1. Keep it level

   Solve x + 3 = 7 by predicting, applying, observing, and explaining one equal move.

2. Free the x blocks

   Isolate x in 2x + 2 = 10 through two balance-preserving moves and explain the method.

3. Catch the lab glitch

   Predict and explain the tilt from −3 on the left and −1 on the right, then repair the equation.

4. Run the lab

   Transfer balance reasoning to solve the novel equation 3x − 6 = 15 without a highlighted route.