Algebra Balance Scales
This virtual manipulative allows
you to solve simple linear equations through the use of a balance beam.
Unit blocks (representing 1s) and X-boxes (for the unknown, X), are
placed on the pans of a balance beam. Once the beam balances to
represent the given linear equation, you can choose to perform any
arithmetic operation, as long as you DO THE SAME THING TO BOTH SIDES,
thus keeping the beam balanced. The goal, of course, is to get a single
X-box on one side, with however many unit blocks needed for balance,
thus giving the value of X.
Now try the Balance
Beam Algebra applet and follow these steps.
Set up the equation 2X + 4 = 8 on the balance beam.
Click on arrows to put 2X + 4 on the left side and 8 on the right side.
It should look like this:
Notice there is a balance.
Click on continue.
The goal is to get just one X on one side and only unit blocks on the other side.
To do this:
To solve for X, you divide by 2:
The final equation says that X equals 2 unit blocks.
Click on New Problem to continue.
See more algebra related activities at the Virtual Manipulative Library