1. Y varies directly with x, and y is 96 when x is 16. Which equation represents this situation?
1
A. 𝑦 = 𝑥
6
1
B.𝑦 = 16 𝑥
C.𝑦 = 6𝑥
D. = 16𝑥
2. The number of hours to paint a house varies inversely with the number of painters working. A 2400square foot house can be painted in 27 hours by 6 painters. How many painters would need to work in
order to paint the house in 18 hours?
A. 8
B. 9
C. 10
D. 11
3. Which of the following equation represents direct variation?
A. y = kx
B. y = k/x
C. y = x/k
D. y = mx + b
4. Assume that y varies inversely with x. If x=7 when y=4, what is y when x=2?
A. 4
B. 7
C. 14
D. 28
5. If y varies inversely as x and x=5 when y=20, then what is the constant of variation, k?
A. 4
B. 6
C. 100
D. 121
6. How your score in a test does vary to its equivalent percent?
A. directly
B. inversely
C. indirectly
D. jointly
7. The amount of tickets in a cinema varies as the number of people who watched it. If the number of
people increases, what will be the effect in the amount of tickets?
A. increases
B. doubled
C. decreases
D. remains the same
8. Which of the following situations illustrates a joint variation?
A. The heat required to melt a substance to its mass
B. The perimeter of a square to its side
C. The speed of the boat per hour to the amount of diesel
D. The volume of a rectangular box to its length, width, and height
9. Which of the following statements illustrates a combined variation?
A. The heat required to melt a substance to its mass
B. The perimeter of a square to its side
C. The speed of the boat per hour to the amount of diesel
D. The length of a rectangular box to its area, width, and height
10. The speed, s, of a moving object varies directly to the distance traveled, d, and varies inversely to the
time taken, t. What kind of variation illustrates this statement?
A. direct
B. joint
C. inverse
D. combined
11. Using the statement in no. 10, which of the following relationships is true?
A. The shorter the time, the faster the speed.
B. The longer the time, the faster the speed.
C. The longer the distance, the slower the speed.
D. The shorter the distance, the faster the speed.
12. If 14 kg of dry green peas cost Php280, what is the cost of 20 kg of pulses?
A. Php 200
B.Php 360
C.Php 400
D. Php 650
13. If 3 men can do a portion of a job in 8 days, how many men can do the same job in 6 days?
A. 3 days
B. 4 days
C. 5 days
D. 6 days
14. The amount x varies inversely to y. Which equation expresses the given statement?
A. y=kx
B. x=ky
𝑘
C. y=𝑥
𝑘
D. x=𝑦
15. If x and y vary inversely, as y increases, what happens to the value of x?
A. increases
B. doubled
C. decreases
D. remains the same
16. What type of variation where the situation produces a pair of numbers whose product is constant?
A. direct
B. joint
C. inverse
D. combined
17. Which is an example of inverse variation?
A. The time of the travel to the speed of the bike
B. The cost of apple to the number of pieces.
C. The total salary to the number of working days.
D. The amount of monthly expenditures to the number of family members.
18. Which of the following describes a direct variation?
A.
C.
B.
D.
19. What kind of variation is shown in the graph?
A. direct variation
C. inverse variation
B. joint variation
D. combined variation
20. What kind of variation is shown in the graph?
A. direct variation
C. inverse variation
B. joint variation
D. combined variation
21. 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. joint variation
C. inverse variation D. combined variation
22. If y varies directly with x and inversely with z, and y = 24 when x = 48 and z = 2, what is x when y = 10
and z = 4?
A. 10
B. 25
C. 35
D. 40
23. What is the equation of variation if p varies jointly as q and r, and the constant of variation is 4?.
A. p = 4qr
B. q = 4pr
C. 4 = pqr
D. r = 4pq
For numbers 24-26, The area of a rectangle varies jointly as the length and the width, whose A = 72 sq. cm
when l = 3 cm & w = 2 cm.
24. What is the constant of variation?
A. 6
B. 8
C. 10
D. 12
25. What is the equation of variation?
A. A = 6lw
B. A = 8lw
D. A = 10lw
D. A = 12lw
26. What is the area of rectangle if the length is 4 cm whose width is 3 cm?
A. 72 sq. cm
B. 96 sq. cm
D. 144 sq. cm
D. 240 sq. cm