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WorksheetsRational Applications
Total questions: 14
Worksheet time: 46mins
Name
Class
Date
1.
The frequency of a violin string varies inversely as its length. Suppose a violin string 0.65 meters long vibrates 4.3 times per second. What frequency would a string 0.5 meters long have?
a)
5.59 Times Per second
b)
5.9 Times per second
c)
2.15 Times per second
d)
2.795 Times per Second
2.
Multiply
a)
x+6/x+46
b)
1/x+46
c)
x-4/x
d)
x+8
3.
The volume V of a special coolant liquid varies inversely as the pressure P on it. If the volume is 240 cm^3 under pressure of 30 kg per cm^2 what pressure has to be applied to have a volume of 160 cm^3 ?
a)
45 kg per cm^2
b)
15 kg per cm^2
c)
60 kg per cm^2
d)
None of the options are correct
4.
A 555-mile, 5-hour plane trip was flown at two speeds. For the first part of the trip, the average speed was 105 mph. Then the tailwind picked up, and the remainder of the trip was flown at an average speed of 115 mph. For how long did the plane fly at each speed?
a)
2 hours at 105 mph
3 hours at 115 mph
3 hours at 115 mph
b)
3 hours at 105 mph
2 hours at 115 mph
2 hours at 115 mph
c)
1 hour at 105 mph
4 hours at 115 mph
4 hours at 115 mph
d)
2.5 hours at 105 mph
2.5 hours at 115 mph
2.5 hours at 115 mph
5.
You need a 15% apple juice solution for a certain test. The only solutions you have already are 10% apple juice solution and 30% solution. You need 10 liters of the 15% acid solution. How many liters of 10% solution and 30% solution should you use?
a)
1.5 Liters of 30%
8.5 Liters of 10%
8.5 Liters of 10%
b)
2.5 Liters of 30%
7.5 Liters of 10%
7.5 Liters of 10%
c)
30 Liters of 30%
10 Liters of 10%
10 Liters of 10%
d)
.5 Liters of 30%
.2 Liters of 10%
.2 Liters of 10%
6.
Divide
a)
x+8/x+4
b)
x+4/x+8
c)
16/x-4
d)
x-4/x+8
7.
You have 2 machines that create boxes. Working alone, machine 1 can produce 1500 boxes in x hours. But when they work together, they can cover 1500 boxes in y hours. In terms of x and y, how many hours does it take the 2nd machine by itself to produce 1500 boxes?
a)
x/(x+y)
b)
y/(x+y)
c)
xy/(x+y)
d)
xy/(x-y)
8.
Solve:
4 / (x - 6) = x / 10
4 / (x - 6) = x / 10
a)
x = 6
b)
x = -4, 10
c)
x = 10
9.
Solve:
(4 / x) + (2 / 3) = (6 / x)
(4 / x) + (2 / 3) = (6 / x)
a)
x = 0
b)
x = -3
c)
x = 3
10.
Solve:
(x / (x - 5)) - (11 / (x - 5)) = 7
(x / (x - 5)) - (11 / (x - 5)) = 7
a)
x = 4
b)
x = 5
c)
x = 7
11.
Solve:
(1 / (x - 3)) = (5 / (x + 9))
(1 / (x - 3)) = (5 / (x + 9))
a)
x = 3
b)
x = 3, -9
c)
x = 6
12.
Lucy and Quinn have started a car washing business. Lucy can wash a car in 3 hours. Together, Lucy and Quinn can wash a car in 1 hour. How long does it take Quinn to wash a car by herself?
a)
It takes Quinn 4 hours.
b)
It takes Quinn 2 hours.
c)
It takes Quinn 1.5 hours.
d)
I don't know. It's too cold to wash cars! *DON'T PICK THIS!*
13.
Tim can paint the football field in 8 hours. JaQuii can paint the football field in 6 hours. Damien can paint the field in 4 hours. How long does it take them to paint the field together?
a)
It will take them 24 hours.
b)
It will take them 1.8 hours.
c)
It will take them 11 hours.
d)
It will take them 2.4 hours.
14.
Solve the equation for x.
a)
7
b)
6
c)
14
d)
0
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