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Equations of a circle and completing the square

Authored by Daniel Larrabee

Mathematics

11th Grade

Used 3+ times

Equations of a circle and completing the square
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10 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Write the equation of a circle with center (7, 0) with radius 3.

(x - 7)2 + y2 = 9
x2 + (y -7)2 = 9
(x - 7)2 + y2 = 3
x2 + (y -7)2 = 3

2.

MULTIPLE CHOICE QUESTION

30 sec • 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

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given the following equation (x+12)² + (y+3)² = 9, what is the diameter?

3

6

9

12

4.

MULTIPLE CHOICE QUESTION

30 sec • 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

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The point (-5,6) is on a circle with center (-1,3) write the equation of the circle

(x+1)2 + (y-3)2= 4000

(x+5)2 + (y-0)2= 25

(x+1)2 + (y-3)2= 25

(x-1)2 + (y+3)2= 25

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What value of c would make this a perfect sqaure trinomial?
x2 +8x + c

4
16
64
-16

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

When factoring
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20

4
2
8
20

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