16 Questions
Translate 'W varies jointly as c and the square of u and inversely as b' into a mathematical sentence.
W = (kb * a ^ 2)/a
What happens to T when h is doubled in the equation T = 4h?
T is doubled
Write an equation for 'the density (d) of air varies inversely as the volume water in the atmosphere'.
d = k * v ^ 2
Write the equation of the relation 'W varies directly as the square of x and inversely as y and z' when W = 12, x = 4, y = 2, and z = 20.
W = (30x ^ 2)/(vz)
If y varies directly as x and y = 12 when x = 4, find y when x = 2.
W = 2 D. W = 5 0 48
A relationship between two quantities such that the number of boys b varies directly as the number of girls g and inversely as the number of teachers t. Write the equation of this relation.
b = kgt-
In the expression (6b^3 * c^5) * (2b * c^4), what is the simplified form?
12b^4c^9
What is the equation of variation in the situation where W varies directly as the square of x and inversely as y and z, and W = 12 when x = 4, y = 2, and z = 20?
W = (k * x^2 * y)/z
What is the value of 5^0 + 5^3?
25
What should be the value of n in the expression (2x^(1/3) * y^4)^n so that the expression will be equal to one?
-1
What is the constant of variation in the expression W = (Kx)/(vz)?
10
Simplify the radical expressions: sqrt(98) + sqrt(50) - sqrt(32).
-√116
Write x^(1/3) as a radical expression.
√x
Simplify: (x^12)^(-1/2).
(x^(1/6) * y^(1/5))
Which of the following expressions tells how many times the base is used as a factor?
Exponent
Find the value of (2^12 * 5^14)/(10^12).
25
Test your understanding of direct and inverse variation equations with these practice questions. From doubling variables to mathematical representations, this quiz will help reinforce your knowledge in direct and inverse variation.
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