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Worksheets

VARIATION

Total questions: 20

Worksheet time: 40mins

Name
Class
Date
1.
Is this a direct variation?
y=2x
a)
yes
b)
no
2.
When dealing with direct and inverse variation, the K represents what?
a)
Kangaroo
b)
K-Mart's Blue Light Special
c)
Constant
d)
King Cobra Snake
3.
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
4.
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
5.
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
6.

If m varies directly as n, then m=kn.

a)

True

b)

False

7.

If m is directly proportional to n, the equation must be written as _____________.

a)

mn = k

b)

k=mnk=\frac{m}{n}  

c)

m=knm=\frac{k}{n}  

d)

none of the above

8.

State what type of variation the equation represents.

a)

Direct

b)

Inverse

c)

Joint

d)

None

9.

State what type of variation the equation represents.

a)

Direct

b)

Inverse

c)

Joint

d)

None

10.
Does the relationship represent direct variation?
a)
Yes
b)
No
11.

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

a)

Direct Variation

b)

Inverse Variation

c)

Joint Variation

d)

Combined Variation

12.

This type of variation states that the two quantities increase at the same time or decrease at the same time.

a)

Direct Variation

b)

Inverse Variation

c)

Joint Variation

d)

Combined Variation

13.

The cost c varies directly as the number of n pencils is written as

a)

c = kn

b)

k = cn

c)

n = k/c

d)

c = k/n

14.

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

a)

r = kt

b)

r = k/t

c)

t = kr

d)

t = r/k

15.

Which of the following types of variation states that the decrease of one quantity results to the increase of the other quantity?

a)

Direct Variation

b)

Inverse Variaton

c)

Joint Variation

d)

Combined Variation

16.

If y varies directly as x and y = 24, when x = 3, then what is the value of k?

a)

4

b)

6

c)

8

d)

72

17.

Which of the following phrases illustrate an inverse variation?

a)

The area of the wall to the amount of paint used to cover it

b)

The amount of money raised in a concert to the number of tickets sold

c)

The time a teacher spends in checking papers to the number of students

d)

The age of a used car to its resale value

18.

If s varies directly as t and inversely as v, then which of the following equations describes the relation among the three variables s, t, and v?

a)

s = k / tv

b)

s = kv / t

c)

1/s = kt/ v

d)

s = kt / v

19.

Which of the following is the graph of a direct square variation?

a)

Straight Line

b)

Quadratic Curve

c)

Broken Line

d)

Hyperbola

20.

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

a)

Direct Variation

b)

Inverse Variation

c)

Joint Variaiton

d)

Combined Variation