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

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

    <p>25</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</p> Signup and view all the answers

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

    <p>10</p> Signup and view all the answers

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

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

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

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

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

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

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

    <p>25</p> Signup and view all the answers

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