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WorksheetsUnit 6 Assessment 3 Extra Practice
Total questions: 18
Worksheet time: 19mins
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
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
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
Which of the following is the equation for a circle with a center (0, 0) and a radius of 3 ?
x2 + y2 = 3
(x - 3 )2 + (y - 3 )2 = 3
x2 + y2 = 3
x2 + y2 = 9
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
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
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)
Determine if the following point lies inside, on, or outside a circle centered at the origin with a radius of 5 units.
(4, 3)
(a)
Determine if the following point lies inside, on, or outside a circle centered at the origin with a radius of 5 units.
(-4, 4)
(a)
Complete the square: x2 + 20x - 27 = 0
(x + 10)2 = 73
(x + 10)2 = 127
(x + 100)2 = 37
(x + 20)2 = 427
A student tried completing the square for the problem below, but made a mistake. In which step is the mistake?
Problem: x2 - 8x - 72
STEP 1: x2 - 8x = 72
STEP 2: x2 - 8x + 16 = 72 + 16
STEP 3: (x + 1)2 = 88
Step 1
Step 2
Step 3
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: x2 + 6x + 8 = 0
STEP 1: x2 + 6x = -8
STEP 2: x2 + 6x + 6 = -8 + 6
STEP 3: (x + 3)2 = -2
Step 1:
The right side of the equation should be positive 8.
Step 2:
The student should be adding 9 on both sides, not 6.
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.
Given the equation: x2 + 8x + y2 - 2y = 64, which of the following correctly fills in the blank of the steps of solving by completing the square?
x2 + 8x + y2 - 2y = 64
x2 + 8x + A + y2 - 2y + B = 64 + A + B
A = 16
B = 4
A = 16
B = 1
A = 64
B = 2
A = 64
B = -1
Given the equation: x2 - 4x + y2 + 10y - 7 = 0, which of the following correctly fills in the numbers in the last step?
x2 - 4x + y2 + 10y - 7 = 0
x2 - 4x + y2 + 10y = 7
x2 - 4x + 4 + y2 + 10y + 25 = 7 + 4 + 25
(x + A)2 + (y + B)2 = 36
A = 4
B = 25
A = 2
B = 10
A = -2
B = 5
A = -4
B = -5
Identify the center and radius of the circle represented by the equation
x2 + 14x + y2 - 12y + 4 = 0
(HINT: Write the equation in standard form by completing the square.)
Center: (-7, 6)
Radius: r=9
Center: (-7, -6)
Radius: r=85
Center: (7, -6)
Radius: r=85
Center: (7, 6)
Radius: r=9
