Completing The Square Using Algebra Tiles Worksheet Page 2
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1
2
3
4− 6x + ______ .
5. Create a partial square with algebra tiles to represent x
2
a) How many unit tiles do you need to complete the square?
b) What are the dimensions of the completed square?
L =
W =
c) Fill in the blanks with numbers to make the statement true:
(
)
− 6x + c = x + ?
2
2
x
6. What is the relationship between the coefficient of x and the number of x’s you have down one side of your
algebra tile diagram?
7. What is the relationship between the number of x’s down one side of the algebra tile diagram and the
question mark in your perfect square binomial?
8. What is the relationship between the coefficient of x and the question mark in your perfect square binomial?
22
9. What is the relationship between the question mark of your perfect square binomial and the number of
blocks (or units) you had to add to make your diagram a perfect square?
2
10. In the expression
y
x
bx
c
, how do you use b to get the value of c to form a perfect square? Use the
=
+
+
examples above (3-5) to explain your answer.
11. Try these problems—Fill in the missing “c” and then rewrite the trinomial as a perfect square binomial.
2
2
a)
x
x
c
b)
x
− 4
x
c
−10
+
+
2
2
c)
x
+ 12
x
c
d)
x
x
c
+
−12
+
2
2
e)
x
+ 7
x
c
f)
x
bx
c
+
+
+
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