WorksheetsUnit 5 Recovery Work Part 2
Total questions: 21
Worksheet time: 57mins
Name
Class
Date
1.
What is the center of the circle: (x+2)2+(y+3)2=49
a)
(2, 3)
b)
(3, 2)
c)
(-3, -2)
d)
(-2, -3)
2.
What is the radius of the circle:
(x+7)² + (y-2)² = 144
(x+7)² + (y-2)² = 144
a)
7
b)
12
c)
13
3.
The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.
a)
(x - 2)2 + (y + 5)2 = 36
b)
(x - 5)2 + (y + 2)2 = 6
c)
(x + 5)2 + (y - 2)2 = 36
d)
(x + 2)2 + (y - 5)2 = 6
4.
Determine the equation of the circle in standard form: x2 + y2 + 6x - 12y + 20 = 0
a)
(x-3)2 + (y+6)2 = 25
b)
(x+3)2 + (y-6)2 = 25
c)
(x-3)2 + (y+6)2 = 45
d)
(x+3)2 + (y-6)2 = 5
5.
Determine the equation of a circle with center (5,-3) and radius of 9
a)
x2+y2-10x+6y-47=4
b)
x2+y2-10x-6y-47=0
c)
2x2+y2+10x+6y-47=0
d)
x2+y2-10x+6y-47=0
6.
Determine the center and radius: x2 + y2 + 14x - 2y = -1
a)
center= (-7,2) radius= 3
b)
center= (-7,1) radius= 7
c)
center= (-4,1) radius= 5
7.
Is the point (3 , 5) inside, outside or on the circle with equation x2 + y2 = 9?
a)
Inside the Circle
b)
Outside the Circle
c)
On the Circle
8.
Is the point (-3 , 5) inside, outside or on the circle with equation (x+2)2 + (y-4)2 = 9?
a)
Inside the Circle
b)
Outside the Circle
c)
On the Circle
9.
How do you determine if a point is on the circle?
a)
See if value after substitution for (x, y) = r2
b)
See if value after substitution for (x, y) > r2
c)
See if value after substitution for (x, y) < r2
10.
What is the equation for this circle?
a)
(x+1)+(y+1)=9
b)
x²+y²=9
c)
x+y=9
11.
Which graph corresponds to
(x)2+ (y-6)2=9
(x)2+ (y-6)2=9
a)
A
b)
B
c)
C
d)
D
12.
What is the equation of this circle?
a)
(x + 3)2 + (y - 1)2 = 9
b)
(x - 3)2 + (y + 1)2 = 9
c)
(x - 3)2 + (y + 1)2 = 3
d)
(x + 3)2 + (y - 1)2 = 3
13.
You have a globe that has a radius of 11 inches. Find the volume of your globe.
a)
523 in3
b)
16,717 in3
c)
5,575 in3
d)
7,235 in3
14.
The dimensions of grain storage bins in the shape of a cylinder and a rectangular prism are shown. Which measurement is closest to the difference between the volumes of the 2 bins?
a)
24,280 cubic feet
b)
16,430 cubic feet
c)
11,720 cubic feet
d)
4,480 cubic feet
15.
Jason is drinking a soda from a can that has a radius of 5 in and a height of 43 in. He has already drank 1/4 of the soda, how much soda is still remaining in the can? Leave the answer in terms of π.
a)
1075π
b)
268.75π
c)
430π
d)
806.25π
16.
A cathedral window is built in the shape of a semicircle. If the window is to contain three stained glass sections of equal size, what is the area of each stained glass section? Express answer to the nearest square foot.
a)
1 sq. ft
b)
13 sq. ft
c)
3 sq. ft
d)
26 sq. ft
17.
Joey finds a treasure chest packed with metallic coins. The chest has a volume of 1.5 m3 .The coins have a total mass of 16,950 kg. Hoping to find gold, he calculates the density to determine the metal of the coins.
a)
Bronze (8700 Kg/m3)
b)
Silve (10,500 Kg/m3)
c)
Lead (11,300 Kg/m3)
d)
Gold (19,300 Kg/m3)
18.
Which box has a higher density?
a)
Box A
b)
Box B
c)
cannot be determined
d)
they are the same
19.
A radio station can broadcast within a 6 mile radius. There are approximately 12,350 people living within the broadcast range. About how many people per square mile are in range of the station?
a)
655 people / mile2
b)
343 people / mile2
c)
109 people / mile2
d)
2058 people / mile2
20.
A dense patch of dandelions can contain 250 dandelions per square foot. Approximately how many seeds are in a rectangular patch that measures 5 feet by 3 feet?
a)
16 dandelions
b)
3750 dandelions
c)
50 dandelions
d)
83 dandelions
21.
A sprinkler head shoots out a stream of water a distance of 3.5 meters and rotates through an angle of 250°. If it sprays 180 gallons of water, how much water is used per square meter?
a)
6.73 gallons per square meter
b)
26.73 gallons per square meter
c)
38.48 gallons per square meter
d)
4.68 gallons per square meter
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