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WorksheetsCompleting the Square
Total questions: 9
Worksheet time: 22mins
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.
Complete the square.
x2 + 6x + ____
x2 + 6x + ____
a)
x2 + 6x + 9
b)
x2 + 6x - 36
c)
x2 + 6x + 36
d)
x2 + 6x - 9
3.
Solve the equation by completing the square and then finding the roots.
x2+ 6x - 4 = 36
x2+ 6x - 4 = 36
a)
x = -7, 7
b)
x = 4, -10
c)
x = -4 +- √7
d)
x = 10, -4
4.
What do you do to the b value to correctly complete the square?
a)
square it
b)
divide it by 2 and square the result
c)
divide it by 2 and take the square root of the result
d)
divide it by 2 only
5.
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
6.
Complete the Square
x2 + 6x - 5
a)
(x + 3)2 = 5
b)
(x + 6)2 = 9
c)
(x + 3)2 = 14
d)
(x + 6)2 = 14
7.
Which of the following equations matches standard form of a quadratic?
a)
ax + by = c
b)
y = a(x - h)2 + k
c)
y = ax2 + bx + c
d)
y = mx + b
8.
What do you need to add to complete the square?x2 + 6x = 20
a)
9
b)
100
c)
36
d)
12
9.
What is the first step to solving THIS equation by completing the square?
a2 + 10a + 21 = 0
a2 + 10a + 21 = 0
a)
Set the equation equal to zero
b)
Divide 10 by 2 and add the result to both sides
c)
Add a2 and 10a together
d)
Subtract the 21
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