Lesson Check Two:  Equations of a Circle (Harder Problems)

Lesson Check Two: Equations of a Circle (Harder Problems)

9th - 12th Grade

10 Qs

quiz-placeholder

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Lesson Check Two:  Equations of a Circle (Harder Problems)

Lesson Check Two: Equations of a Circle (Harder Problems)

Assessment

Quiz

Mathematics

9th - 12th Grade

Medium

CCSS
HSG.GPE.A.1

Standards-aligned

Created by

Melodie Hunt

Used 1+ times

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

In the equation (x-4)2+(x-3)2=25, the center of the circle is at...

(-3, -4)
(4, 3)
(-4, -3)
(3, 4)

Tags

CCSS.HSG.GPE.A.1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The previous problem was in the form: (x-h)^2 + (y-k)^2 = r^2.  When an equation is in this form it is easy to find the center and the radius.  For example, what is the radius of  (x9)2+(y+2)2 =  81\left(x-9\right)^2+\left(y+2\right)^{2\ }=\ \ 81  

81

9

3

-9

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

If given an equation that looks like this: x2 + y2 + 14x - 2y = -1, you cannot easily see the center and the radius. Because of that you must manipulate the equation INTO the form you want. What would be the first step?

Get the x's together and get the y's together.

Factor

Add (b/2)^2 to both sides.

Add 1 to the right hand side.

4.

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

Tags

CCSS.HSG.GPE.A.1

5.

MULTIPLE CHOICE QUESTION

15 mins • 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

Tags

CCSS.HSG.GPE.A.1

6.

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

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the radius of the given circle:

x² + y² - 10x + 8y - 23 = 0?

4

2

8

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