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WorksheetsMath
Total questions: 25
Worksheet time: 13mins
An encoder can type n words in t hour. The formula that relates n to t is . What kind of variation is it?
Inverse
Direct
Joint
Combined
Which is an example of a direct linear variation?
xy = 5
y = 3/x
y = 2x
3/y = x
Derive the equation for the variation using the table.
y = 3x
y = -3/x
y = -3x
xy = 3
If p varies directly as q and inversely as r, then which of the following equations describes the relation among the variables?
p = kq/r
1/p = kr/q
p = kr/q
p = k/qr
Translate into equation, “y is directly proportional to x and inversely proportional to z”. Use k as constant of proportionality.
y = kxz
y = kz/y
y = kx/z
y = x/ky
What happens to T when h is tripled in the equation T=k/h?
T is tripled
T is multiplied by 6
T is divided by 6
T is divided by 3
7. If p varies directly as q, and p = 25 when q = 20 find q when p = 140.
4/5
500
112
70
8. If y varies inversely as x, and x = 10, y = 48. Find y when x = 32.
12
15
10
17
9. If c varies inversely as d, and c = 30, d = 9. Find d when c = 540.
1/2
2
1/3
3
If w varies directly as the square of x and inversely as y and z. if w =12 when x = 4, y = 2 and z = 20. Find w when x = 3, y = 8 and z = 5.
10
9
27/4
5
What happens to S when t is doubled in the equation S=3t2?
S is halved
S is doubled
S is quadrupled
S is multiplied by 6
12. If y varies directly as the square of x, if y = 20 when x =2, what is y when x = 3?
40
45
4
5
The area of a circle is proportional to the square of its radius. If the length of its radius is halved, what happens to its area?
doubled
divided by four
multiplied by four
quadrupled
Allan’s income varies directly as the number of days that he works. If he earns ₱ 12,000 in 20 days, how much will he earn if he works twice as long?
₱ 26,000
₱ 24,000
₱ 22,000
₱ 20,000
If y varies jointly as x and z and y = 48 when x = 2 and z = 4. Find the constant of variation.
4
5
6
7
Mike’s income varies directly as the number of days that he works. If his number of days tripled, what would happen to his income?
Divided by 3
multiplied by 9
tripled
quadrupled
Which of the following is true?
51/2 + 51/2 = 55
22/3 / 21/3 = 23/9
(31/2)2 = 33/2
4-2/3 = 1/42/3
The length of a rectangle is 3x2/3 meters and its width is 4x1/2 meters. What is its area?
12x4/3 sq. meters
12x3/5 sq. meters
12x7/6 sq. meters
12x2/3 sq. meters
The amount of gasoline used by a car varies jointly as the distance travelled and the square root of the speed. Suppose a car used 25 L on a 100 km trip at 100 kph, about how many liters will it use on a 1,000 km trip at 64 kph?
100 L
150 L
200 L
250 L
The number of days needed to repair a house varies inversely as the number of men working. It takes 15 days for 2 men to repair the house. How many men are needed to complete the job in 6 days?
4
5
6
8
What law of exponents is illustrated in (4x3y4)(-3x3y4) = -12x6y8
(am)n = amn
am · an = am+n
(ab)m = ambm
(ambn)p = ampbnp
In a 10-meter flagpole, a rope is attached to the top of the pole form a point on the ground. If the rope is taut 8 meters away from the base of the flagpole, how long is the rope? Express your answer in exponential form with a rational exponent.
1641/2 meters
1642 meters
361/2 meters
362 meters
What is a solution that does not satisfy the given equation?
solution set
solution pair
excess solution
extraneous solution
24. What is the product of 2x1/2 and -3x3/2 ?
6x
-6x1/2
-6x3/4
-6x2
What is the simplified form of 405-26-110002?
1
1/50
1/75
2
