Proportional Relationships Quiz

Name:

Date:

📚 Part 1: Multiple Choice

1. The table shows values for x and y: x = 2, 4, 6 and y = 6, 12, 18. What is the constant of proportionality k in y = kx?

k = 2

k = 3

k = 6

k = 9

2. Which statement is true about the relation: (3,12), (5,20), (7,28)?

It is proportional with k = 3

It is proportional with k = 4

It is not proportional

It is proportional with k = 7

3. If y = 5x, what is y when x = 2.5?

12.5

7.5

2.5

4. Check all that apply: Which of these represent a proportional relationship?

y = 3x

y = 3x + 1

y = 0.2x

y = -4x

y = x^2

✏️ Part 2: Short Answers

5. A recipe uses 3 cups of flour to make 12 cookies. Write an equation relating cups (c) to cookies (n) in the form c = k·n. What is k? How many cups are needed for 20 cookies?

6. A car travels 150 miles in 3 hours. (a) Find the unit rate in miles per hour. (b) How far will it travel in 8 hours at the same rate?

7. If y is proportional to x with k = 2.5, complete: x = 4 → y = ____ ; x = 0.4 → y = ____

8. In one sentence, explain how you decide whether a table of values shows a proportional relationship.

✅ Learning Goals & Supports

I can... identify proportional relationships, find the constant of proportionality (k), and use k to solve for missing values.

Success criteria: I can (1) show a constant ratio y/x for each pair, (2) write y = kx with the correct k, and (3) use k to compute missing values or unit rates.

Differentiation strategies: Provide a calculator for students who need it; offer step-by-step ratio scaffolds; pair students for peer explanation; use color-coded ratio tables for visual support.

Extension activities: Ask advanced students to model real-world problems with fractional k (e.g., cost per ounce) and to compare proportional vs. linear non-proportional functions.

Dyslexia-friendly reading options: Read questions aloud, provide copies with increased spacing, and allow colored overlays or audio support as needed.