Equation of a circle and completing a square for circle

Equation of a circle and completing a square for circle

9th - 10th Grade

8 Qs

quiz-placeholder

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Equation of a circle and completing a square for circle

Equation of a circle and completing a square for circle

Assessment

Quiz

Mathematics

9th - 10th Grade

Easy

CCSS
HSG.GPE.A.1

Standards-aligned

Created by

Jason Lee

Used 7+ times

FREE Resource

8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What are the coordinates of the center and the radius of the circle with equation:
(x - 4)2 + (y - 3)2 = 25 ?
Center (4,3)
Radius = 5 units
Center (4,3)
Radius = 25 units
Center (-4,-3)
Radius = 25 units
Center (-4,-3)
Radius = 5 units

Tags

CCSS.HSG.GPE.A.1

2.

MULTIPLE CHOICE QUESTION

1 min • 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

3.

MULTIPLE CHOICE QUESTION

1 min • 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

What is the center of the circle with equation x2 + y2 = 1?
(1, 1)
(0, 0)
not enough information

Tags

CCSS.HSG.GPE.A.1

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Determine the equation of the circle in standard form: x+ y+ 6x - 12y + 20 = 0
(x-3)2 + (y+6)2 = 25
(x+3)2 + (y-6)2 = 25
(x-3)2 + (y+6)2 = 45
(x+3)2 + (y-6)2 = 5

Tags

CCSS.HSG.GPE.A.1

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image
What is the equation for this circle?
(x+1)+(y+1)=9
x²+y²=9
x+y=9

Tags

CCSS.HSG.GPE.A.1

7.

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

8.

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