WorksheetsCompleting the Square Entry Ticket
Total questions: 10
Worksheet time: 20mins
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 = 5
x2 + 6x = 5
a)
(x + 3)2 = 5
b)
(x + 6)2 = 9
c)
(x + 3)2 = 14
d)
(x + 6)2 = 14
3.
What is one of the solutions to this equation?
(2x - 1)2 = 49
(2x - 1)2 = 49
a)
7
b)
-7
c)
-4
d)
-3
4.
Solve the following equation by completing the square:
n2 - 2n - 3 = 0
n2 - 2n - 3 = 0
a)
{3 and-1}
b)
{4 and -4}
c)
{5 and -3}
d)
{8 and -7}
5.
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
6.
To solve by completing the square, what needs to be moved in this equation?
x2 = 9 - 4x
x2 = 9 - 4x
a)
the -4x
b)
the 9
c)
the x2
7.
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
8.
What is the first step to solve this quadratic equation by completing the square? x2−10x+21 = 0
a)
Set the equation equal to zero
b)
Add x2 and 10x together
c)
Divide 10 by 2 and add the result to both side
d)
Subtract the 21 from both sides
9.
What did you need to add to both sides to complete the square?
x2−12x+ ___ = 20 + ___
a)
6
b)
36
c)
10
d)
144
10.
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
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