
Lesson Check Two: Equations of a Circle (Harder Problems)
Authored by Melodie Hunt
Mathematics
9th - 12th Grade
CCSS covered
Used 1+ times

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10 questions
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1.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
In the equation (x-4)2+(x-3)2=25, the center of the circle is at...
Tags
CCSS.HSG.GPE.A.1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The previous problem was in the form: (x-h)^2 + (y-k)^2 = r^2. When an equation is in this form it is easy to find the center and the radius. For example, what is the radius of
81
9
3
-9
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
If given an equation that looks like this: x2 + y2 + 14x - 2y = -1, you cannot easily see the center and the radius. Because of that you must manipulate the equation INTO the form you want. What would be the first step?
Get the x's together and get the y's together.
Factor
Add (b/2)^2 to both sides.
Add 1 to the right hand side.
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Determine the center and radius: x2 + y2 + 14x - 2y = -1
Tags
CCSS.HSG.GPE.A.1
5.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Determine the center and radius:
x2 + y2 - 10x + 8y -8 = 0
Tags
CCSS.HSG.GPE.A.1
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
What is the center for the circle with this equation x²+y²+4x+6y-36=0?
(-2,5)
(2,7)
(-2,-3)
Tags
CCSS.HSG.GPE.A.1
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
What is the radius of the given circle:
x² + y² - 10x + 8y - 23 = 0?
4
2
8
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