
Circles with Completing the Square
Authored by Jennifer McClure
Mathematics
9th - 12th Grade
CCSS covered
Used 16+ times

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8 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Change the following equation to standard form
x2 + y2 - 4x + 12y - 8 = 0
(x + 2)2 + (y - 6)2 = 48
(x - 2)2 + (y + 6)2 = 48
(x - 6)2 + (y - 2)2 = 48
(x + 2)2 + (y + 6)2 = 48
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Determine the center and radius:
x2 + y2 + 8y - 10x = 8
C = (5, -4) r = 7
C = (-5, 4) r = 7
C = (-4, 5) r = 49
C = (5, -4) r = 49
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the r in the standard equation stand for?
r is the distance of the circle
r is the radius of the circle
r is the x coordinate of the center of the circle
r is the y coordinate of the center of the circle
Tags
CCSS.HSG.GPE.A.1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Find the center and radius of the circle: 3x2 + 3y2 + 42x - 6y = -3
center= (-7, 2) radius= 3
center= (-7, 1) radius= 7
center= (-4, 1) radius= 5
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the equation of the circle, with center (a,b) and radius r units?
(x - a)2 + (y - b)2 = r2
(x + a)2 + (y + b)2 = r
(x - a)2 + (y - b)2 = r
(x + a)2 + (y + b)2 = r2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What numbers go in the blanks?
x2 + y2 + 14x - 2y = -1
x2 + 14x + _____ + y2 - 2y + _____= -1 + 50
7 and 1
49 and 1
14 and 1
49 and 2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Fill in the blank for the following problem:
x2 + y2 - 12x + 4y = -4
(x 2 - 12x + 36) + (y2 + 4y + 4) = - 4 + _____
(x - 6)2 + (y + 2)2 = 36
4
36
40
8
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