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40 questions
1. Which of the following equations is an example of direct variation?
A. 3y = 6x + 1
B. 2y = 12x
C. 2y + x = 7
D. All of the choices
2. Which relationship is a direct variation?
A. x = 1, 2, 3, 4 and y = -1, 0, 1, 2
B. x = 1, 2, 3, 4 and y = 3, 5, 7, 9
C. x = 1, 2, 3, 4 and y = 0, -1, -2, -3
D. x = 1, 2, 3, 4 and y = 3, 6, 9, 12
3. Which equation is an example of joint variation, where k is the constant of variation?
A. y = x/kw
B. y = kx/w
C. y = kxw
D. y = k/xw
4. Which formula describes the variation, “ v varies directly as t and inversely as w”?
A. v = kt/w
B. v = k/t
C. v = 8t
D. v = 8/t
5. What is the equation of the variation, ” y is inversely proportional to x” and x = 12, when y = 3?
A. y/x = 36
B. y = 12/3
C. y = 36/x
D. 12 = 3/y
6. Which of the following equations describes a combined variation, where k is the constant of variation?
A.W = kab
B. W = kab/c
C. W = kabc
D. W = k/ab
7. What is the constant of variation in the equation, y = 10x ?
A. 10
B. 10x
C. x
D. y
8. What happened to D ,when R is doubled in the equation, D = 5R ?
A. D becomes zero
B. D is halved
C. D is doubled
D. D is tripled
9. Which is an example of direct variation ?
A. Y = 10
B. y = 2/x
C. y = 5x
D. 2/y = x
10. Which variation is described in the sentence,” A car travels a distance d km in t hr ” ?
A. direct
B. inverse
C. joint
D. combined
11. What is the constant of variation, if y varies directly as x and y = 32, when x = 4?
A. 8
B. 36
C. 28
D. 128
12. Which of the following table of data describes an inverse variation ?
X = 2 , 3 , 4 , 5
Y = 5 , 10/3 , 5/2 , 2
X = 1 , 2 , 3 , 4
Y = 5 , 10 , 15 , 20
X = 40 , 30 , 20 , 10
Y = 8 , 6 , 4 , 2
X = 4 , 8 , 10 , 12
Y = 2 , 4 , 5 , 6
13. What happens to T when h is doubled in the equation, T = dh ?
A. halved
B. tripled
C. doubled
D. becomes zero
14. What happens to y when x is tripled in the relation, y = k/x ?
A. tripled
B. doubled
C. halved
D. divided by 3
15. If y varies directly as x and y = 12 when x = 4, what is y when x = 12 ?
A.3
B. 4
C. 36
D. 48
16. If y varies inversely as x and y = when x = 8, what is y when x = -4?
A. -2/3
B. 2/3
C. -32/3
D. 32/3
17. 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. s = kt/v
D. s = kt/v
18. If (x-4) varies inversely as (y+3) and x = 8 when y = 2, what is x when y = -1?
A. 20
B. 18
C. 16
D. 14
19. w varies directly as the square of x and inversely as p and q. If w = 12, when x = 4, p = 2 and q = 20, what is w when x = 3, p = 8 and q = 5 ?
A. 10
B. 9
C. 27/4
D. 5
20. 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. 7
B. 6
C. 5
D. 4
21. If y varies inversely as x, and y = 1/5 when x = 9, what is y when x = -3 ?
A. 5
B. 1/3
C. 3/5
D. -3/5
22. Khenz income varies directly as the number of days that he works. If he earns PhP 8,000 in 20 days, how much will he earn if he worked 3 times as long?
A. PhP 26,000
B. PhP 24,000
C. PhP 20,000
D. PhP 16,000
23. The amount of gasoline used by a car varies jointly as the distance traveled and the square root of the speed. Suppose a car used 25 liters on a 100 km trip at 100 kph, about how many liters will it use on a 1000 km trip at 64 kph ?
A. 100 L
B. 200 L
C. 300 L
D. 400 L
24. If y varies directly as the square of x, how is y changed if x is increased by 20%?
A. 44% decrease in y
B. 0.44% decrease in y
C. 44% increase in y
D. 0.44% increase in y
25.The distance Nika travels is directly proportional to the time she spends on the road. If Nika spends 5 hours on the road, she travels 30 miles. How far will she go if she only spends 3 hours on the road?
A. 6 miles
B. 12 miles
C. 18 miles
D. 15 miles
26. Which of the following equations represents the relation, “ speed r of a moving object is inversely proportional to the time t travelled”?
A. r =kt
B. r = k/t
C. t = kr
t/k = r
27. If y varies directly as x and y = 4 when x = 10, what is y when x = 15 ?
A. 4
B. 6
C. 8
D. 10
28. A newspaper boy earns Php 80 in 2 weeks. How much does he earn in 5 weeks if he sells at the same rate?
A. Php 100
B. Php 200
C. Php 300
D .Php 400
29. Mrs. Sanchez gives 15 points for every kilo of plastic bottles a student in her Science class submits. How many kilograms of plastic bottles must a student submit if he/she wants to get 60 points?
A. 4
B. 6
C. 8
D. 10
30. Which of these equations is a combined variation?
A. P =rs
B. P = 34πr2
C. A = 21bh
D. M =5n8p
31. What variation is illustrated by the relationship between ”the speed of a car to the time it takes the car to reach its destination”?
A. Combined
B. Direct
C. Inverse
D. Joint
32. Which is the equation for the following relation, “the volume of a cylinder varies jointly as h and the square of r.”?
A. V=r2h
B. V=(rh)2
C. V=kr2h
D. V=r2hk
33. Which equation is equivalent to the relation, “the cost is directly proportional to the number of pencils”?
A. C =kn
B. k= Cn
C. C=nk
D. n =Ck
34. Which equation translates the statement ,the electrical voltage V varies jointly as the current I and the resistance R ?
A. R=VI
B. V=RI
C. V=kIR
D. R=kVI
35. With Php 24, 3 notebooks can be bought at Php 8 each. How many notebooks costing Php 12 each can be bought same amount?
A. 2
B. 3
C. 4
D. 6
36. Five men can build a hut in 6 days. In how many days can 10 men build the same hut?
A. 2
B. 3
C. 9
D. 12
37. Manuel can assemble 7 books in 4 minutes. At this rate, how many books can he assemble in 2hrs?
A. 14
B. 69
C. 105
D. 210
38. What variation is described in the statement “y varies inversely as x”?
A. Direct variation
B. Inverse Variation
C. Joint Variation
D. Combined Variation
39. What type of variation is shown in the relationship between the distance travelled by a car and its allotted time?
A. Direct variation
B. Inverse Variation
C. Joint Variation
D. Combined Variation
40. The length l of the rectangular field varies inversely as its width w. What type of variation is illustrated?
A. Direct variation
B. Inverse Variation
C. Joint Variation
D. Combined Variation
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