Equations
Direct Variation
Volume
Surface Area
Pythagorean Theorem
100
Solve for x.
8x-2=-9+7x
-7
100
Y varies directly with x when y = 12 and x = 3. Find y when x = 5.
20
100
Find the volume of a sphere that has a radius of 3 mm.
113.09
100
Find the lateral surface area of a cylinder with a radius of 3 and a height of 9.
169.65
100
Do the following sides form a right triangle?
6, 8, 10
yes
200
Write an equation of a line that has a slope of 4 and a y-intercept of -9
y=4x-9
200
The value of y varies directly with x. When x = 0.5, y = 4. Find y when x = 3.
y = 24
200
Find the volume of a cylinder with a radius of 12 and a height of 5.
2261.95
200
Find the lateral surface area of a cylinder with a radius of 10 and a height of 5.
314.16
200
Do the following side lengths form a right triangle?
7.6, 8.9, 10.1
no
300
p − 1 = 5 p + 3p − 8
1
300
Three gallons of gas cost $11.04. How much does 5 gallons cost?
$18.40
300
Find the volume of a cone with a radius of 8.5 and a height of 13.
983.58
300
Find the total surface area of a cylinder with a radius of 9.5 and a height 8.
1044.58
300
Find the length of the missing side.
17
400
Write an equation.
y=x+6
400
At a rate of 50 mph, a car travels a distance of 600 miles. How far will the car travel at a rate of 40 mph if it is driven the same amount of time?
480 miles
400
Find the volume of a sphere with a diameter of 19.
3591.36
400
Find the lateral surface area of a cylinder with a height of 7.5 and diameter of 12.
282.74
400
Find the length of the missing side.
5.66
500
Write an equation of a line that contains the points (4,5) and (7,11)
y=2x-3
500
The rental fee to rent jet skis varies directly to the number of hours that you rent them. Fun Vacation Rentals rents jet skis to tourists. They charge $140 for 4 hours. Suppose you rent a jet ski for only 3 hours; how much would you pay?
105
500
Find the volume of a cone with a height of 14 and a diameter of 16.
938.29
500
Find the total surface area of a cylinder with a height of 20 and a diameter of 15.
1295.91
500
Find the length of the missing side.
9