Direct Variation Worksheet with Answer Key

What's on the worksheet

1. Decide if each equation shows direct variation and give the constant:
   y = -\dfrac{3}{4}xy + 2 = 2(x + 1)y = \dfrac{x + 6}{3}y = \dfrac{5x - 10}{2} + 5y = 2(3x - 1) + 4
2. Find the constant of variation from a table, write the equation, and find missing values.
3. Find the slope of each line through two points and decide if it is a direct variation:
   (−2, −5) and (4, 10)(2, 9) and (6, 21)(−6, 4) and (9, −6)
4. Word problem: water wasted by Hannah's dripping tap over time.
5. Use the scaling form: what happens to y when x is changed?
6. Word problem: sheets of drawing paper left in the school art room over time.