Linear Equations
5y+12=11y
y=2
Find the side length of a cube with a volume of 551cm3
8.2 cm
A six-sided die is rolled once. What is the probability that the number rolled is an even number greater than 2?
1/3
(-5) + (-6) =
–11
81-4y=5y
y=9
Evaluate 10-8
1/100,000,000
The length of a rectangle is four times its width. If the area is 100 m2 what is the length of the rectangle?
20 meters
(+42) + (-19) =
23
10x=2x+32
x=4
Solve for u. -2u=14
u=-7
The length of a rectangle is increased to 2 times its original size and its width is increased to 3 times its original size. If the area of the new rectangle is equal to 1800 square meters, what is the area of the original rectangle?
300 square meters
12 + 5 + (-8) + 20 + (-16) =
13
45-8w=w
w=5
v2=36
v=6,-6
Pump A can fill a tank of water in 5 hours. Pump B can fill the same tank in 8 hours. How long does it take the two pumps working together to fill the tank?(round your answer to the nearest minute).
3 hours and 5 minutes
(-36) + (+24) =
-12
24+4w=8w
w=6
solve for x
-3x=-18
x=-6
A water tank, having the shape of a rectangular prism of base 100 square centimeters, is being filled at the rate of 1 liter per minute. Find the rate at which the height of the water in the water tank increases. Express your answer in centimeters per minute.
10 cm per minute
1/4 + (-1/2) =
– 1/4