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WorksheetsCompleting the Square
Total questions: 12
Worksheet time: 49mins
Name
Class
Date
1.
When factoring
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
a)
4
b)
2
c)
8
d)
20
2.
Solve by completing the square. Round.
x2 -4x = 5
x2 -4x = 5
a)
11 and -7
b)
1 and 3
c)
1.73 and -1.73
d)
5 and -1
3.
Solve by completing the square:
k2 − 12k + 23 = 0
k2 − 12k + 23 = 0
a)
{6 + √13, 6 - √13}
b)
{-6 + √13, -6 - √13}
c)
{6 + √59, 6 - √59}
d)
{-6 + √59, -6 - √59}
4.
When factoring
x2 +10x - 4 = 20,
what goes in the blank?
(x + __ )2 = 49
a)
5
b)
10
c)
24
d)
25
5.
When factoring
x2 + 12x =13,
what goes in the blank?
(x + 6)2 = __
a)
18
b)
13
c)
36
d)
49
6.
Given the perfect square trinomial, identify the equivalent expression
x2-18x+81
a)
(x-18)2
b)
(x-9)2
c)
(x+81)2
d)
(x+9)2
7.
Solve by completing the square.
x2 + 10x = -9
a)
1 and -12
b)
-1 and -9
c)
1 and -9
d)
1 and -1
8.
Solve by completing the square.
x2−16x−10=6
a)
x= 8±16√5
b)
x= −8±4i√5
c)
x= 8±4√5
d)
x= −8±4√15
9.
x2−14x+16=3
a)
x= −1, x= −13
b)
x= 7±2√17
c)
x= 13, x= 1
d)
x= 7±4√17
10.
Solve by completing the square.
x2−8x−14=7
a)
x= 4±√37
b)
x= 4+√37
c)
x= −4±√37
d)
x= 4±4√2
11.
Solve by completing the square.
(Don't forget: "a" has to be 1)
2x2 + 12x = -10
a)
No Solution
b)
-5
c)
-1 and 5
d)
-1 and -5
12.
Solve by completing the square. Round.
x2 - 16x = -28
x2 - 16x = -28
a)
12 and 2
b)
14 and 12
c)
12 and 4
d)
14 and 2
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