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WorksheetsCombined Variation
Total questions: 15
Worksheet time: 36mins
If y varies directly as x and inversely as z, and y = 24 when x = 48 and z = 4, find x when y = 44 and z = 6.
126
132
148
154
If f varies directly as g and inversely as the square of h, and f = 20 when g = 50 and h = 5, find f when g = 18 and h = 6.
4
5
8
10
If y varies jointly as a and b and inversely as the square root of c, and y = 12 when a = 3, b = 2, and c = 64, find y when a = 5, b = 2, and c = 25.
8
16
24
32
If x varies directly as y and inversely as z, and x = 10 when y = 5 and z = 3, for what value of z will x = 3 and y = 4?
2
4
6
8
z varies inversely with x and directly with y. If x = 4, y = 48 and z = -2, find x when z = 8 and y = 96.
-2
-1
0
1
z varies inversely with x and directly with y. If x = 1/2, y = 5 and z = 20, find x when z = -4 and y = 8.
1
2
3
4
The formula for Combined Variation is represented as:
y = kx
y = k/x
y = kxz
y = kx/z
If p varies directly as the square of q and inversely as the square root of r, and p = 60 when q = 6 and r = 81, find p when q = 8 and r = 144.
70
80
90
100
If a = 15 when b = 4
and c = 5,
then find b when a = 60 and c = 5.
z varies jointly with x and y. z = 12 when x = 8 and y = 6. Write a specific equation.
x = 4zy
x = 1/4 zy
z = 4xy
z = 1/4 xy
Write an equation for the given relationship:
x varies directly with y and inversely with z.
x = ayz
x = ay/z
x = az/y
y = ax/z
Write an equation for the given relationship:
w varies inversely with y and jointly with x and z.
w = az/xy
w = axzy
w = (axz)/y
w = az/y
w = 10chs represents:
The equation s=t4r reprensents
direct variation
joint variation
inverse variation
combined variation
r varies jointly with s and u and inversely with t
When s=–10, u=3, and t=6, r=–30. What is the value of k, the constant of variation?
(a)
