Which of the following is the equation for a circle with a center (0, 0) and a radius of $$\sqrt[]{3}$$ ?

(x - $$\sqrt[]{3}$$ ) 2 + (y - $$\sqrt[]{3}$$ ) 2 = 3

A student tried completing the square for the problem below, but made a mistake. In which step is the mistake? Problem: x 2 - 8x - 72 STEP 1: x 2 - 8x = 72 STEP 2: x 2 - 8x + 16 = 72 + 16 STEP 3: (x + 1) 2 = 88

The student made no mistakes :-)

A student tried completing the square for the problem below, but made a mistake. In which step is the mistake and how can you fix it? Problem: x 2 + 6x + 8 = 0 STEP 1: x 2 + 6x = -8 STEP 2: x 2 + 6x + 6 = -8 + 6 STEP 3: (x + 3) 2 = -2

Step 2: The student should be adding 9 on both sides, not 6.

Step 1: The right side of the equation should be positive 8.

Step 2: The student should be subtracting 6 on both sides, not adding 6.

Step 3: Inside the parenthesis should be (x - 3)

Step 2: The student should be adding 3 on both sides, not 6.

Unit 6 Assessment 3 Extra Practice

Authored by Donald Storr

Mathematics

9th - 12th Grade

CCSS covered

Used 2+ times

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Identify the center and radius for the following circle:
(x + 2)² + (y - 7)² = 25

Center: (-2, 7)

Radius: r = 5

Center: (2, -7)

Radius: r = 5

Center: (-2, 7)

Radius: r = 25

Center: (2, 7)

Radius: r = 5

Tags

CCSS.HSG.GPE.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Identify the center and radius for the following circle:
x² + (y - 1)² = 81

Center: (0, -1)

Radius: r = 9

Center: (0, 1)

Radius: r = 81

Center: (0, 1)

Radius: r = 9

Center: (1, 0)

Radius: r = 9

Tags

CCSS.HSG.GPE.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is the equation for a circle with a center (-4, -5) and a diameter of 12?

(x + 4)² + (y + 5)² = 144

(x + 4)² + (y + 5)²= 36

(x + 4)² + (y + 5)² = 12

(x - 4)² + (y - 5)² = 144

Tags

CCSS.HSG.GPE.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

x² + y² = 3

x² + y²= 9

Tags

CCSS.HSG.GPE.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is the equation for the circle shown below?

(x + 5)² + (y + 5)² = 16

(x - 5)² + (y + 5)² = 16

(x - 5)² + (y + 5)²= 25

(x + 5)² + (y - 5)²= 16

Tags

CCSS.HSG.GPE.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A circle is centered at (6, -8). The point (3, 4) is on the circle. Determine which of the following is the equation of the circle.

(x + 6)² + (y + 8)²= 5

(x + 6)² + (y - 8)²= 5

(x - 6)² + (y - 8)²= 5

(x - 6)² + (y + 8)²= 5

Tags

CCSS.HSG.GPE.A.1

FILL IN THE BLANKS QUESTION

1 min • 1 pt

Given the circle represented by the equation (x - 3)² + (y + 4)² = 16, determine if the following point is located inside, on, or outside the circle.
(2, 0)

(a)

Tags

CCSS.HSG.GPE.A.1

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Unit 6 Assessment 3 Extra Practice

Identify the center and radius for the following circle:
(x + 2)² + (y - 7)² = 25

Identify the center and radius for the following circle:
x² + (y - 1)² = 81

Which of the following is the equation for a circle with a center (-4, -5) and a diameter of 12?

Which of the following is the equation for the circle shown below?

A circle is centered at (6, -8). The point (3, 4) is on the circle. Determine which of the following is the equation of the circle.

Given the circle represented by the equation (x - 3)² + (y + 4)² = 16, determine if the following point is located inside, on, or outside the circle.
(2, 0)

(a)

Given the circle represented by the equation (x - 3)² + (y + 4)² = 16, determine if the following point is located inside, on, or outside the circle.
(4, -2)

(a)

Given the circle represented by the equation (x - 3)² + (y + 4)² = 16, determine if the following point is located inside, on, or outside the circle.
(7, -4)

(a)

Determine if the following point lies inside, on, or outside a circle centered at the origin with a radius of 5 units.
(2, 2)

(a)

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Unit 6 Assessment 3 Extra Practice

Identify the center and radius for the following circle:(x + 2)2 + (y - 7)2 = 25

Identify the center and radius for the following circle:x2 + (y - 1)2 = 81

Which of the following is the equation for a circle with a center (-4, -5) and a diameter of 12?

Which of the following is the equation for the circle shown below?

A circle is centered at (6, -8). The point (3, 4) is on the circle. Determine which of the following is the equation of the circle.

Given the circle represented by the equation (x - 3)2 + (y + 4)2 = 16, determine if the following point is located inside, on, or outside the circle.(2, 0) (a)

Given the circle represented by the equation (x - 3)2 + (y + 4)2 = 16, determine if the following point is located inside, on, or outside the circle.(4, -2) (a)

Given the circle represented by the equation (x - 3)2 + (y + 4)2 = 16, determine if the following point is located inside, on, or outside the circle.(7, -4) (a)

Determine if the following point lies inside, on, or outside a circle centered at the origin with a radius of 5 units.(2, 2) (a)

Access all questions and much more by creating a free account

Similar Resources on Wayground

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Discover more resources for Mathematics

Identify the center and radius for the following circle:
(x + 2)² + (y - 7)² = 25

Identify the center and radius for the following circle:
x² + (y - 1)² = 81

Given the circle represented by the equation (x - 3)² + (y + 4)² = 16, determine if the following point is located inside, on, or outside the circle.
(2, 0)

(a)

Given the circle represented by the equation (x - 3)² + (y + 4)² = 16, determine if the following point is located inside, on, or outside the circle.
(4, -2)

(a)

Given the circle represented by the equation (x - 3)² + (y + 4)² = 16, determine if the following point is located inside, on, or outside the circle.
(7, -4)

(a)

Determine if the following point lies inside, on, or outside a circle centered at the origin with a radius of 5 units.
(2, 2)

(a)