Direct and Inverse Variation Equations Quiz

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Questions and Answers

Translate 'W varies jointly as c and the square of u and inversely as b' into a mathematical sentence.

  • 4/
  • W = kcab * 2
  • W = kca * 2b
  • W = (kb * a ^ 2)/a (correct)

What happens to T when h is doubled in the equation T = 4h?

  • T is doubled (correct)
  • T is tripled
  • T is halved
  • T becomes zero

Write an equation for 'the density (d) of air varies inversely as the volume water in the atmosphere'.

  • d = k * v ^ 2 (correct)
  • (B_{v}) * d = K/v
  • d = kv
  • J = v/x

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.

<p>W = (30x ^ 2)/(vz) (B)</p> Signup and view all the answers

If y varies directly as x and y = 12 when x = 4, find y when x = 2.

<p>W = 2 D. W = 5 0 48 (D)</p> Signup and view all the answers

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.

<p>b = kgt- (A)</p> Signup and view all the answers

In the expression (6b^3 * c^5) * (2b * c^4), what is the simplified form?

<p>12b^4c^9 (C)</p> Signup and view all the answers

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?

<p>W = (k * x^2 * y)/z (C)</p> Signup and view all the answers

What is the value of 5^0 + 5^3?

<p>25 (B)</p> Signup and view all the answers

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?

<p>-1 (D)</p> Signup and view all the answers

What is the constant of variation in the expression W = (Kx)/(vz)?

<p>10 (C)</p> Signup and view all the answers

Simplify the radical expressions: sqrt(98) + sqrt(50) - sqrt(32).

<p>-√116 (D)</p> Signup and view all the answers

Write x^(1/3) as a radical expression.

<p>√x (A)</p> Signup and view all the answers

Simplify: (x^12)^(-1/2).

<p>(x^(1/6) * y^(1/5)) (A)</p> Signup and view all the answers

Which of the following expressions tells how many times the base is used as a factor?

<p>Exponent (C)</p> Signup and view all the answers

Find the value of (2^12 * 5^14)/(10^12).

<p>25 (C)</p> Signup and view all the answers

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