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Pre Test Variations

Total questions: 17

Worksheet time: 10mins

Name
Class
Date
1.

Decide if the second quantity increases or decreases.

As the distance a taxi travels increases, the fare ________________.

a)

increases

b)

decreases

2.

Decide if the second quantity increases or decreases.

The area of a square decreases as its side ________________.

a)

increases

b)

dcreases

3.

Determine if the two quantities show direct variation or not.

The distance traveled by car and the amount of gas left in the tank.

a)

Direct Variation

b)

Not Direct Variation

4.

Find the constant of variation and the equation of variation in which y varies directly as x, and y = 51 when x = 3.

a)

k = 153

y = 153x

b)

k = 17

y = 17x

c)

k = 17

y = 17/x

d)

k = 153

y = 153/x

5.

Determine whether the equation represents direct variation or inverse variation.

r=dtr=\frac{d}{t}  

a)

direct variation

b)

inverse variation

6.

Which graph represents inverse variation?

a)

b)

c)

7.

A car is travelling a distance of 120 km. How long will it take the car to reach its destination if it travels at a speed of 20 kph?

a)

4 hours

b)

5 hours

c)

6 hours

d)

7 hours

8.

If the two quantities are related to each other in a way that changes in one results in a corresponding change of the other is called...

(a)  

9.

Which of the following is a direct variation?

a)

y=kxzy=kxz  

b)

y=kxy=\frac{k}{x}  

c)

y=kxy=kx  

d)

y=kxzy=\frac{kx}{z}  

10.

Which of the following is an example of Inverse Variation?

a)

The area of a wall is related to the amount of paint used to cover it.

b)

The number of tickets sold is related to the amount of money 

c)

The diameter of a circle is related to its circumference.

d)

The number of workers is related to the number of days they need to finish a job.

11.

If "y varies directly as x," then what is the constant form of Direct Variation?

a)

k=yxk=\frac{y}{x}  

b)

k=xyk=\frac{x}{y}  

c)

k=xyk=xy  

d)

none of the above

12.

If "y varies inversely as x," then what is the constant form of Inverse Variation?

a)

k=yxk=\frac{y}{x}  

b)

k=xyk=\frac{x}{y}  

c)

k=xyk=xy  

d)

none of the above

13.

Identify the type of variation shown in the table of value.

a)

Inverse

b)

Direct

c)

Joint

d)

Direct and Inverse

14.

What is the type of variation and its constant value shown in the given table of values?

a)

Direct; 200

b)

Inverse; 200

c)

Direct; 20,10,200

d)

Inverse; 100,2,200

15.

 If "y varies directly as x," then what is the equation of variation?

a)

y=180xy=180x  

b)

y=180xy=\frac{180}{x}  

c)

x=180yx=180y  

d)

x=180yx=\frac{180}{y}  

16.

If "y varies inversely as x," then what is the variation equation of the given table of values?

a)

x=45yx=45y  

b)

y=45xy=45x  

c)

y=45xy=\frac{45}{x}  

d)

y=0.2xy=\frac{0.2}{x}  

17.

Which of the following is a direct variation?

a)

y increases

x decreases

b)

y increases

x increases

c)

y decreases

x increases

d)

all of the above