Algebra Tiles

1
Algebra Tiles Completing the Square

• Visual Representation

2
Use algebra tiles to complete the square for the
equationx2 6x 2 0
x2

x
x
x
x
x
x
1
1
3
Step 1Subtract 2 from each side to model x2
6x -2
x2

x
x
x
x
x
x
1
1
4
Step 2Begin to arrange the x2 and x tiles into
a square
x2
x
x
x
1
1
x

x
x
5
Step 3Add enough 1s to complete the square
Then, add the same number to the other side
x2
x
x
x
1
1
x
1
1
1

1
1
1
x
1
1
1
1
1
1
x
1
1
1
1
1
1
6
Step 4remove zero pairs
x2
x
x
x
1
1
x
1
1
1

1
1
1
x
1
1
1
1
1
1
x
1
1
1
1
1
1
7
New equation x2 6x 9 7
x2
x
x
x
x
1

1
1
1
x
1
1
1
1
1
1
x
1
1
1
1
1
1