Direction: Write the letter of the correct answer on your answer sheet.

1. It is a relationship between two quantities such that when the value of the variable increases, the value of

another also increases.

A. Direct Variation B. Inverse Variation C. Combined Variation D. Joint Variation

2. The fare F of a passenger varies directly as the distance d of his destination is written as

A. F = kd B. F=



C. D = kf D=





3. Which of the following is an example of inverse variation?

A. y=2x B. xy=2 C. y=2/x D. x=2/y

4. A decrease in production of paper contribute to the decrease in the number of trees being cut, this situation

illustrates what type of variation?

A. Direct Variation B. Inverse Variation C. Combined Variation D. Joint Variation

5. The following phrases illustrate inverse variations, EXCEPT:

A. The number of hours to finish a job to the number of men working

B. The age of a used cell phone to its resale value

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

D. The cost per person of renting a private resort to the number of persons sharing the rent.

6. Which of the following equations is of the form y=kx and shows a direct relationship?

A. y= 3x B. y= 2x + 5 C. y= x2

-4 D. y=2x2

+3

7. The base b of a triangle inversely proportional to its altitude h is written as

A. b=kh B. b=k:h C. b=k/h D. b=h/k

8. Which of the following is an example of joint variation?

A. y=kx B. y=



C. z=kxy D. z=



9. What is the formula to get the value of the constant of variation if a varies jointly as b and c ?

A. k =

B. k =



C. k =



D. k =



10. The pressure P of gas varies directly as its temperature t and inversely as its volume V is written as

A. P=



B. V=



C. P=



D. P= ktV

11. If y varies directly as x and y = 6 when x = 3, what is the equation of variation?

A. y= 3x B. y= 2x C. y= 18x D. y=2/x

12. If a varies inversely as b and a= -3 when b=4, find a when b=6

A. a=1/2 B. a= 2 C. a= - ½ D. a= -2

13. Solve for k: - 20 =



A. 100 B. -100 C. 1000 D. -1000

14. The equation of the relation if m varies jointly as p and r if m = 18 when p = 6 and r = 2.

A. m =



B. m =



C. m =



pr D. m =



pr

15. z varies directly as x and inversely as y, and z= 6 when x=3 and y=4. What is the value of z when x= 5 and

y= 10?

A. z= 2 B. z= 4 C. z= 6 D. z= 8

16. What happens to B when h is tripled in the equation B = 2h?

A. B is halved B. B is doubled C. B is tripled D. B becomes zero​