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Equations of Circles Using Completing the Square

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Equations of Circles Using Completing the Square
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

A
B
C
D

Tags

CCSS.HSG.GPE.A.1

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What do you do to the b value to correctly complete the square?

square it

divide it by 2 and square the result

divide it by 2 and take the square root of the result

divide it by 2 only

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Complete the square for

x2 - 12x + ____

144

36

- 36

24

Tags

CCSS.HSA-REI.B.4B

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the coordinates of the centre and the radius of the circle with equation:
(x - 4)2 + (y - 3)2 = 25 ?

Centre  (4,3)
Radius = 5 units

Centre  (4,3)
Radius = 25 units

Centre  (-4,-3)
Radius = 25 units

Centre  (-4,-3)
Radius = 5 units

Tags

CCSS.HSG.GPE.A.1

5.

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

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which of the following graphs match the equation:

Media Image
Media Image
Media Image
Media Image

Tags

CCSS.HSG.GPE.A.1

7.

MULTIPLE CHOICE QUESTION

1 min • 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

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