
Equations of Circles Using Completing the Square
Authored by Anthony Clark
Mathematics
9th Grade
CCSS covered

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20 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Tags
CCSS.HSG.GPE.A.1
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What do you do to the b value to correctly complete the square?
square it
divide it by 2 and square the result
divide it by 2 and take the square root of the result
divide it by 2 only
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Complete the square for
x2 - 12x + ____
144
36
- 36
24
Tags
CCSS.HSA-REI.B.4B
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the coordinates of the centre and the radius of the circle with equation:
(x - 4)2 + (y - 3)2 = 25 ?
Centre (4,3)
Radius = 5 units
Centre (4,3)
Radius = 25 units
Centre (-4,-3)
Radius = 25 units
Centre (-4,-3)
Radius = 5 units
Tags
CCSS.HSG.GPE.A.1
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A circle has the equation x2 + y2 - 12x + 8y + 3 = 0. Use completing the square to write the equation in standard form.
(x - 6)2 + (y + 4)2 = 49
(x + 4)2 + (y - 6)2 = 49
(x - 6)2 + (y + 4)2 = 55
x2 + y2 = 55
Tags
CCSS.HSG.GPE.A.1
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which of the following graphs match the equation:
Tags
CCSS.HSG.GPE.A.1
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
In the equation (x+2)2+(y-3)2=4, the radius of the circle is...
4
2
3
16
Tags
CCSS.HSG.GPE.A.1
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