Grade 7 Proportional Relationships Test PDF Sample
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Answer key included
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Assessment balance
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PDF preview
1. A car travels 150 miles in 2.5 hours. What is its unit rate?
2. y is proportional to x, and y = 21 when x = 3. Write the equation.
3. A $40 jacket is on sale for 15% off. What is the sale price?
Preview shows representative problems from the printable student-facing PDF.
Answer key preview
1. 60 miles per hour
Divide distance by time: 150 ÷ 2.5 = 60.
2. y = 7x
Constant of proportionality: k = y/x = 21/3 = 7.
3. $34
15% of 40 = 0.15 × 40 = 6. Sale price: 40 − 6 = 34.
Worked answers help teachers verify explanation depth, not just final-answer accuracy.
Skills assessed
- Unit rates, including rates with fractions (7.RP.1)
- Recognizing proportional relationships (7.RP.2)
- Constant of proportionality and y = kx
- Multi-step percent problems (7.RP.3)
Difficulty balance
5 easy unit-rate items, 3 medium proportionality and constant-of-proportionality problems, 2 hard multi-step percent problems
Teacher use case
Useful as a unit test after ratios and rates, a benchmark before linear equations, or an equivalent retake paper for students who missed the original.
Common student mistakes to watch for
- Dividing in the wrong order (2.5 ÷ 150) and getting a rate per mile
- Treating any straight-line table as proportional, even when it does not pass through (0, 0)
- Subtracting the percent itself (40 − 15) instead of 15% of the price
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Does the sample include an answer key?
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Can I generate a harder or easier version?
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