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Second Quarter: Reviewer in Variation

Total questions: 25

Worksheet time: 38mins

Name
Class
Date
1.

Y varies directly as the square root of an X and inversely as T. Given that k is constant, the relation between Y, X and T is

a)

Y=kXTY=\frac{k\sqrt{X}}{\sqrt{T}}

b)

Y=kXTY=\frac{k\sqrt{X}}{T}

c)

Y=kTXY=\frac{k\sqrt{T}}{\sqrt{X}}

d)

Y=kTXY=\frac{kT}{\sqrt{X}}

2.
Is this a direct variation?
y=2x
a)
yes
b)
no
3.
Which of the given graphs is a direct variation?
a)
A
b)
B
c)
C
d)
D
4.
Does the equation show an inverse variation? 
y=10/x
a)
yes
b)
no
5.
Given the following equation, identify the constant k.
y = 54/x
a)
There is one.
b)
k = x
c)
54
d)
y = k
6.
Does the table show an inverse variation?
a)
Yes
b)
No
7.

What kind of variation is shown in the graph?

a)

Direct

b)

Inverse

c)

Joint

d)

Combined

8.

A type of variation that involves 3 or more quantities that may vary directly.

a)

A. Direct Variation

b)

B. Inverse Variation

c)

C. Joint Variation

d)

D. Combined Variation

9.

The speed r of a moving object is inversely proportional to the time t travelled is written as

a)

A. r = kt

b)

B. r = k/t

c)

C. t = kr

d)

D. t = r/k

10.

This is a variation where one quantity varies directly to other quantity and inversely to the other quantity.

a)

A. Direct Variation

b)

B. Inverse Variation

c)

C. Joint Variaiton

d)

D. Combined Variation

11.

This is a variation where one quantity varies directly to other quantity and inversely to the other quantity.

a)

A. Direct Variation

b)

B. Inverse Variation

c)

C. Joint Variaiton

d)

D. Combined Variation

12.
What type of variation does this scenario represent?
The outside temperature
and the number of layers of clothes you need to wear outside to feel comfortable 
a)
direct variation
b)
inverse variation
c)
joint variation
d)
none of these
13.
What type of variation does this scenario represent?
The grade you earn in a class
and the number of assignments you complete
and the number of hours you study
a)
direct variation
b)
inverse variation
c)
joint variation
d)
none of these
14.
What type of variation does this scenario represent?
The length of time you charge your cell phone
and the battery power 
a)
direct variation
b)
inverse variation
c)
joint variation
d)
none of these
15.
What type of variation does this scenario represent?
You and some friends decide to buy 2 pizzas and split the cost evenly.
The number of friends who are sharing the cost of the pizzas
and the amount of money you pay for your share.
a)
direct variation
b)
inverse variation
c)
joint variation
d)
none of these
16.
Suppose y varies directly as x, and y=39 when x=3.  Find the value of y when x=2.
a)
26
b)
3
c)
58.5
d)
2
17.
Suppose y varies inversely with x.
If y = 150 when x = 2, find y when x = 25.
a)
300
b)
75
c)
1,875
d)
12
18.

Suppose p varies directly as r, and p varies inversely as t.

t = 20 when p = 4 and r = 2.

Find t when r = 10 and p = 5.

a)

40

b)

80

c)

4

d)

20

19.
Suppose y varies directly as x.
If  y = 22.5 when x = 15, find y when x = 20.
a)
1.5
b)
337.5
c)
30
d)
16.875
20.
Suppose a varies jointly as b & c. 
If a = 15 when b = 4
and c = 5,
then find b when a = 60 and c = 5.
a)
320
b)
225
c)
16
d)
8
21.

9. If 3 identical packages weigh 105 kg. How much will 15 of these packages weigh?

a)

A. 315 kg

b)

B. 525 kg

c)

C. 1250 kg

d)

D. 1575 kg

22.

The frequency of a vibrating string varies inversely as its length. A string 3 feet long vibrates 175 cycles per

second. Find the frequency of a 5 foot string.

a)

105 cycles

b)

291.7 cycles

c)

2625 cycles

d)

332 cycles

23.

The weight of a liquid varies directly as its volume V. If the weight of the liquid in a cubical container 5 cm on a side is 250 g, find the weight of the liquid in a cubical container 3 cm on a side.

a)

12 g

b)

6 g

c)

27 g

d)

54 g

24.
Eduardo counted ten seconds between seeing lightning and hearing thunder, and he knew that the lightning was about 2 miles away. What is the constant of variation?
a)
k = 10
b)
k = 2
c)
k = 5
d)
k = 1/5
25.

10 workers can complete cutting the grasses if an area in 28 days. It is given that the number of days, t, varies inversely as the number of workers, n. How many days are needed if 7 workers are employed?

a)

t=20t=20

b)

t= 28t=\ 28

c)

t= 30t=\ 30

d)

t= 40t=\ 40