Completing The Square Worksheet
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1
2Name: _____________________________ Date: _______________
Period: _____
Completing the Square Worksheet #1
Directions: Complete all of the questions and be sure to show all of your work.
2
1. What must you add to the expression
x
+
bx
to complete the square?
Solve each equation.
2
(
)
2
2
2.
x −
2
=
16
3.
x
−
10
x
+
25 16
=
4.
x
−
2
x
+ =
1 3
Complete the square for each expression. Write the resulting expression as a binomial
squared.
2
2
2
5.
x
+
14
x
+
?
6.
x
−
12
x
+
?
7.
x
−
9
x
+
?
Solve each equation by completing the square.
2
2
2
8.
x
−
6
x
= −
4
9.
x
+ =
8 6
x
10.
2
x
−
20
x
=
8
2
2
2
11.
x
=
24 4
−
x
12.
10
x x
+
=
42
13.
2
x
+
8
x
−
15 0
=
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