Completing the Square Write Equation Circle

Completing the Square Write Equation Circle

9th - 12th Grade

8 Qs

quiz-placeholder

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Completing the Square Write Equation Circle

Completing the Square Write Equation Circle

Assessment

Quiz

Mathematics

9th - 12th Grade

Hard

Created by

Barbara White

FREE Resource

8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Change the following equation to standard form for the equation of a circe: 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

What is the center for the circle with this equation x²+y²+4x+6y-36=0?

(-2,5)

(2,7)

(-2,-3)

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Change the following equation to standard form for the equation of a circe: x2 + y2 + 6x - 12y + = -20.

(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

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Determine the equation of the circle in standard form:
x² + y² + 4x + 6y - 36 = 0
(x+2)2 + (y+3)2 = 49
(x+2)2 + (y+3)2 = 13
(x-2)2 + (y-3)2 = 49
(x-2)2 + (y-3)2 = 13

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Determine the center and radius:
x+ y- 10x + 8y -8 = 0
C = (5,-4) r = 7
C = (-5,4) r = 7
C = (-4,5) r = 49
C = (5,-4) r = 49

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the radius of the given circle:
 x²+y²-10x+8y-23=0?
4
2
8

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Determine the center and radius: x+ y+ 14x - 2y = -1
center= (-7,2) radius= 3
center= (-7,1) radius= 7
center= (-4,1) radius= 5

8.

MULTIPLE CHOICE QUESTION

15 mins • 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