2. Using y = 8x, what is the value of x if y = 72?

3. Complete the table of values for 4x = y X0123 Y

4. Name at least two ways you can tell if a graph represents a direct variation.

5. Write the general equation for a direct variation. Also, re-write the equation in the form of k = _____.

6. Y varies directly with x, and y = 18 when x = 3. Find x when y = 42.

7. Y is directly proportional to x, and x = 4 when y = 3. Using a proportion, find y when x = 22.

8. Summer scored 12 points in four soccer games. The soccer season has 13 total games. How many points can Summer expect to score by the end of the soccer season?

9. Is (2, 7) a solution to the equation y = 3x?

10. Is (10, 5) a solution for the equation y = 2x?

11. Which of the following is an example of a direct variation equation? a. y = 3 + x b. 5 = xy c. y/x = 8 d. y – 3 = x

12. X and y are directly proportional. If y = 1 and x = 3, what does y equal when x = 39?

13. xy 105 84 63 Does the above table of values represent a direct variation? If it does, what is the constant of proportionality?

14. xy 28 410 612 Does the above table of values represent a direct proportion? If it does, what is the constant of proportionality?

15. Write a direct variation equation to represent the values in the table below. X102030 Y51015

16. Write a direct variation equation to represent y = 1 when x = 4.

17. 1. X = 9 2. The y values are 0, 4, 8, & 12 3. Straight line through the origin, as x increases so does y, the line is in Quadrants I and III 4. y = kx and k = y/x 5. X = 7 6. Y = 16.5 7. 39 points

18. 8. No 9. No 10. C 11. Y = 13 12. yes; k = ½ 13. no, so there is no constant 14. y = ½ x 15. y = ¼ x