Inverse, Joint and Combined Variation Worksheet with Answer Key

What's on the worksheet

1. Read the point on the graph and write the inverse variation equation.
2. Say by what number the output is multiplied when the input changes as described.
   y = \dfrac{k}{x}, and x is multiplied by 5.y = \dfrac{k}{x^2}, and x is divided by 3.y = \dfrac{k}{\sqrt{x}}, and x is multiplied by 4.z = kxy, x is tripled and y is multiplied by \dfrac{2}{3}.w = \dfrac{kx^2}{y^3}, and x and y are both doubled.
3. Find the two values of x, the constant and the equation from a change in y.
4. Decide for each table if y varies directly, inversely, with a square or not at all, and write the equation.
5. Word problem: wind force on a sign, varying jointly with its area and the square of the wind speed.
6. Word problem: the resistance of a copper wire by length and diameter.