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7.RP.A.1–A.3 · Grade 7 · exact printable practice

7th Grade Ratios & Proportional Relationships Worksheets

Finish the Grade 7 proportional-reasoning progression instead of stopping at whole-number tables and k. Generate fraction unit rates, decide proportionality from graphs, translate verbal situations into y = kx, explain graph points in context, and solve the remaining Grade 7 percent applications.

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Grade 7 Ratios & Proportional Relationships Review

Mixed Grade 7 RP review · Grade 7 standard · Seed 261601

1.

The graph shows recipe amount, where x = batches and y = cups. Explain what the highlighted point (0, 0) means.

batchescups510
Read the x-unit and y-unit before explaining the highlighted point.
2.

A service charges a 10% fee on $92.00. Find the fee and the total after the fee.

Show the percent relationship before the final amount.

3.

Find the unit rate: 5/6 gallons in 2/3 minute. How many gallons per 1 minute?

Exact division: first quantity ÷ second quantity

4.

The graph shows pages read, where x = minutes and y = pages. Explain what the highlighted point (2, 12) means.

minutespages530
Read the x-unit and y-unit before explaining the highlighted point.
5.

Find the unit rate: 1 3/4 miles in 1 1/4 hour. How many miles per 1 hour?

Exact division: first quantity ÷ second quantity

6.

A store charges 8 dollars for every 1 notebooks. Let x = notebooks and y = dollars. Write the proportional equation y = kx.

k = ______    y = ______x

7.

Find the unit rate: 1/2 gallons in 2/3 minute. How many gallons per 1 minute?

Exact division: first quantity ÷ second quantity

8.

A printer produces 18 pages for every 3 minutes. Let x = minutes and y = pages. Write the proportional equation y = kx.

k = ______    y = ______x

9.

A measured value is 96; the accepted value is 80. Find the percent error using |measured - accepted| / accepted x 100%.

Show the percent relationship before the final amount.

10.

The graph shows distance traveled, where x = hours and y = miles. Explain what the highlighted point (4, 16) means.

hoursmiles520
Read the x-unit and y-unit before explaining the highlighted point.
Exact-construction rule: fraction unit rates stay rational, graph coordinates come from known equations, and money applications use integer cents. No answer key depends on a hidden rounding convention.

Focused Grade 7 practice

Open one 7.RP gap directly

Coverage map

How this library covers Grade 7 proportional reasoning

7.RP.A.1 — fraction unit rates

Divide ratios of fractional quantities and keep the exact simplified per-one rate.

7.RP.A.2 — representations

Tables, graphs, equations, verbal descriptions, constants of proportionality, and contextual meanings of points.

7.RP.A.3 — percent applications

Percent change, discounts, tax, tip, markup/markdown, commission, fees, simple interest, and percent error.

All 7th Grade math worksheets →

Browse the current 7.RP, 7.NS, 7.EE, and 7.G Grade 7 worksheet library from one hub.

Ratio foundations →

Simplify ratios, use equivalent tables, find whole-number unit rates, and solve proportions.

Representation chain →

Move table → k → y = kx → graph, plus double number lines and Better Buy.

Percent foundations →

Percent of a number, missing percent or whole, percent change, discount, tax, and tip.

Continue to the Grade 7 Number System →

Move from proportional reasoning into signed rational-number operations, number lines, decimal expansions, properties, and real-world problems.

Frequently asked questions

Which Grade 7 standards does this hub cover?

The focused generators target 7.RP.A.1, 7.RP.A.2a-d, and 7.RP.A.3, while the existing ratio, percent, and proportional-relationship generators provide prerequisite and companion practice.

What is new compared with the existing proportional-relationships generator?

This Grade 7 layer adds unit rates involving fractions, graph-based proportionality decisions, verbal-description to equation work, contextual interpretation of graph points, and the remaining Grade 7 percent applications.

Are fraction and money answers rounded?

No. Fraction rates are simplified exactly as rational numbers, while money applications are constructed in integer cents.

Can I make multiple versions at the same level?

Yes. New problems changes only the seed. Copy exact worksheet link preserves the selected skill, difficulty, paper size, title, answer-key option, and seed.