6th to 8th, High School
Use tiles to represent variables and constants, learn how to represent
and solve algebra problem. Solve equations, substitute in variable
expressions, and expand and factor. Flip tiles, remove zero pairs, copy
and arrange, and make your way toward a better understanding of algebra.
This interactive is optimized for your desktop and tablet.
Note: in Factor mode, all factors must be entered in parentheses. x(x + 1) will be marked wrong. (x)(x + 1) will be accepted.
There are 4 modes: Solve, Substitute, Expand, or Factor.
Add tiles to the workspace from the bottom left bank. The value
of each tile is indicated. When moved to the workspace, the value will
Tools may be used on single tiles by select them or a group of
tiles by selecting several or dragging a rectangle around a group of
tiles. The tool may be selected before the tile for a single action or
after to allow for a repeated action.
All problems must be completed in two steps:
Place the correct pieces in the workspace. After you build the model of the given problem, Check your answer to move on to the next step. Only tile type, tile quantity,
and workspace area are checked, not the way in which tiles are
If you want to start again, Reset to empty your workspace.
After you solve the problem, Check your answer. Where applicable, answers must be given in simplified
form. Both the entered answer and workspace must be correct. If one or
both is incorrect, the incorrect portion will be indicated. Note: in Factor mode, all factors must be entered in parentheses. x(x + 1) will be marked wrong. (x)(x + 1) will be accepted.
If you want to start again, Reset to go back to your original model.
Place tiles equal to the expression to the left of the = in the left
workspace. Place tiles equal to the expression to the right of the = in
the right workspace. For example, if the expression is 3x– 2, place 3 green x tiles and 2 red 1 tiles
in one half of the workspace. You will need to flip the tiles to get
the red inverse tiles. Check your model to move on to the next step.
To solve the problem, arrange tiles so only a single green tile
remains in one half of the workspace. Remember only equal values can be
removed from both sides, such as a yellow tile from the left and a
yellow tile from the right. To "move" a tile, first add the inverse
value to both sides. If you want to move a red rectangle, add a yellow
rectangle to both sides. Then you can remove the zero pair from one
Try solving several problems in this manner.
Having Trouble Running the Applet?