← Back to the Dependent And Independent Variables test
Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Award the points shown in each scoring line. Accept equivalent equations such as y = x · 7. Give full credit for a correct final answer with a clear equation, and half credit when the method is right but one calculation slip appears.
Standards: 6.EE.C.9 · Level: Grade 6
Question 1 Identify the variables (2 points)
- Independent: hours rented. Dependent: cost.
- Independent: seconds running. Dependent: distance covered.
(a) hours → cost; (b) seconds → distance
Scoring: 1 point for each correct pair of variables.
Question 2 Complete the table (2 points)
6.5 × 2 = 13. 6.5 × 4 = 26. 6.5 × 10 = 65.
| x | 2 | 4 | 10 |
|---|---|---|---|
| y | 13 | 26 | 65 |
13, 26, 65
Scoring: 2 points for all three values; 1 point if exactly two are correct.
Question 3 Equation from a table (3 points)
- 21 ÷ 3 = 7, 35 ÷ 5 = 7, 56 ÷ 8 = 7, 70 ÷ 10 = 7. So y = 7x.
- 7 × 15 = 105.
- 7x = 161, so x = 161 ÷ 7 = 23.
Scoring: 1 point for each part.
Question 4 Conveyor belt graph (3 points)
- Each minute adds 7 boxes: b = 7m.
- In 3 minutes the belt moves 21 boxes.
- 7 × 12 = 84 boxes.
Scoring: 1 point for each part.
Question 5 Car wash fundraiser (3 points)
- Independent: number of cars n. Dependent: revenue r.
- r = 8.5n
- 8.5 × 26 = 221, so $221.
Scoring: 1 point for each part.
Question 6 An age difference (2 points)
- e = n + 8
- 31 + 8 = 39 years old.
Scoring: 1 point for each part.
Question 7 Graph the pairs (2 points)
The points lie on a line through the origin. Each y is 2.5 times x.
y = 2.5x
Scoring: 1 point for plotting all four points correctly; 1 point for the equation.
Question 8 Kayak rental (3 points)
- k = 15h. For 2.5 hours: 15 × 2.5 = $37.50.
- 15h = 105, so h = 7 hours.
- 12 × 7 = 84 and 105 − 84 = $21 less.
Scoring: 1 point for each part.