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6.2 Equations of Circles Practice

Authored by Jimmy Beard

Mathematics

8th Grade

Used 4+ times

6.2 Equations of Circles Practice
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12 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which equation of a circle is centered at (-3, 2) and has a radius of 5?

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

(x - 3)2 + (y + 2)2 = 5

(x + 3)2 + (y - 2)2 = 5

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

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Which graph corresponds to

(x+2)2+ (y-3)2=36

A

B

C

D

3.

DRAW QUESTION

15 mins • 1 pt

Plot the circles x² + y² = 4 and x² + y² = 1 on the same coordinate plane.

Media Image

4.

MATCH QUESTION

15 mins • 1 pt

Match each equation to its description.

Circle centered at (0, -4) and radius 3

x² + (y + 4)² = 9

Circle centered at (1, 0) and radius 3

(x – 1)² + (y + 4)² = 9

Circle centered at (1, 4) and radius √3

(x – 1)² + (y – 4)² = 3

Circle centered at (1, -4) and radius 3

(x – 1)² + (y + 4)² = 3

Circle centered at (1, -4) and radius √3

(x – 1)² + y² = 9

5.

MATCH QUESTION

15 mins • 1 pt

Match each quadratic expression with an equivalent expression in factored form.

(x+7)(x-1)

x2+6x

x(x+6)

x2+6x+8

(x+1)(x+5)

x2+6x+5

(x+4)(x+2)

x2+6x+9

(x+3)(x+3)

x2+6x-7

6.

MATCH QUESTION

15 mins • 1 pt

Match the following

(x + 8)2

x2 - 4x + 4 =

(x - 8)2

x2 + 16x + 64 =

(x -2)2

x2 + 8x + 16 =

(x + 2)2

x2 - 16x + 64 =

(x + 4)2

x2 + 4x + 4 =

7.

MATH RESPONSE QUESTION

15 mins • 1 pt

An equation of a circle is x2 - 8x + 16 + y2 + 10y + 25 = 81.

What is the radius of the circle?

Mathematical Equivalence

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