Complete the Square Circles

Complete the Square Circles

9th Grade

21 Qs

quiz-placeholder

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Complete the Square Circles

Complete the Square Circles

Assessment

Quiz

Mathematics

9th Grade

Practice Problem

Hard

CCSS
HSG.GPE.A.1, HSG.GPE.B.7, HSA-REI.B.4B

Standards-aligned

Created by

Barbara White

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21 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the equation (x-3)2+(y-2)2=16, the center of the circle is...
(3,2)
(-3, -2)
(-2, -3)
(2, 3)

Tags

CCSS.HSG.GPE.A.1

2.

MULTIPLE CHOICE QUESTION

5 mins • 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

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image
What is the equation of the circle?
(x+1)2 + (y +1)2 = 3
(x+1)2 + (y -1)2 = 3
(x+1)2 + (y +1)2 = 9
(x-1)2 + (y -1)2 = 9

Tags

CCSS.HSG.GPE.A.1

4.

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

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the distance between (-5, -8) and (-1, -16).
8.9
9.8
10.3
11

Tags

CCSS.HSG.GPE.B.7

6.

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

Tags

CCSS.HSG.GPE.A.1

7.

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)
(3,2)

Tags

CCSS.HSG.GPE.A.1

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