Proportional Relationships Quiz

Grade 7 · Math · Quiz

Test your understanding of proportional relationships, constants of proportionality, and proportional graphs.

Questions

Which table shows a proportional relationship?
1. x: 1, 2, 3 | y: 3, 6, 9
2. x: 1, 2, 3 | y: 2, 5, 8
3. x: 1, 2, 3 | y: 1, 3, 6
4. x: 1, 2, 3 | y: 4, 6, 8
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Answer: x: 1, 2, 3 | y: 3, 6, 9
In option A, y/x = 3/1 = 6/2 = 9/3 = 3 for every pair. The ratio is constant, so it is proportional.
If y = 7x, what is the constant of proportionality?
1. x
2. 1/7
3. 7
4. y
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Answer: 7
In y = kx, the coefficient of x is k. Here k = 7.
A car travels 150 miles in 3 hours at a constant speed. How far will it travel in 5 hours?
1. 200 miles
2. 250 miles
3. 300 miles
4. 225 miles
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Answer: 250 miles
Unit rate = 150 ÷ 3 = 50 mph. In 5 hours: 50 × 5 = 250 miles.
Which graph represents a proportional relationship?
1. A straight line passing through (0, 0)
2. A straight line with a y-intercept of 3
3. A curved line through the origin
4. A horizontal line at y = 5
Show answer
Answer: A straight line passing through (0, 0)
A proportional relationship graphs as a straight line through the origin (0, 0).
A map has a scale of 1 inch = 25 miles. Two cities are 4 inches apart on the map. What is the real distance?
1. 75 miles
2. 100 miles
3. 125 miles
4. 150 miles
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Answer: 100 miles
4 inches × 25 miles/inch = 100 miles.
The table shows: x = 3, y = 12; x = 6, y = 24; x = 9, y = 36. What is k?
1. 3
2. 4
3. 6
4. 12
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Answer: 4
k = y/x = 12/3 = 4. Confirmed: 24/6 = 4 and 36/9 = 4.
The equation y = 4x + 2 represents a proportional relationship.
Show answer
Answer: False
y = 4x + 2 has a y-intercept of 2, not 0. Proportional relationships must be of the form y = kx with no added constant.
If 8 tickets cost $40, then 15 tickets cost $___.
Show answer
Answer: 75
Unit price = $40 ÷ 8 = $5 per ticket. 15 × $5 = $75.

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