A supply bin starts with 3 1/2 kg. 1/2 kg is used, then 6 kg is added. How much is in the bin now?
Write a signed equation first; keep the unit attached to the result.
CCSS 7.NS.A.3 · real-world four-operation problems
Grade 7 Rational Number Word Problem Worksheets
Apply signed rational-number operations in contexts where the direction and units matter. Problems cover temperature, elevation, account changes, signed rates, equal sharing of a change, and multistep quantities.
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Rational Number Word Problems
Rational-number word problems · Grade 7 standard · Seed 271701
1.
2.
A supply bin starts with 3 1/2 kg. 1 1/2 kg is used, then 2 kg is added. How much is in the bin now?
Write a signed equation first; keep the unit attached to the result.
3.
A quantity changes by 8 units evenly over 2 hours. What is the change per hour?
Write a signed equation first; keep the unit attached to the result.
4.
A drone's altitude changes at -1/2 meters per second for 6 seconds. What is the total altitude change?
Write a signed equation first; keep the unit attached to the result.
5.
A quantity changes by -13 1/2 units evenly over 3 hours. What is the change per hour?
Write a signed equation first; keep the unit attached to the result.
6.
A supply bin starts with 5 1/2 kg. 1 1/2 kg is used, then 3 1/2 kg is added. How much is in the bin now?
Write a signed equation first; keep the unit attached to the result.
7.
A diver is at -5 1/2 meters relative to sea level. The diver's elevation changes by 1 1/4 meters. What is the new elevation?
Write a signed equation first; keep the unit attached to the result.
8.
An account balance is $17.73. A transaction changes the balance by $41.26. What is the new balance?
Write a signed equation first; keep the unit attached to the result.
9.
A diver is at -5 1/2 meters relative to sea level. The diver's elevation changes by 1 3/4 meters. What is the new elevation?
Write a signed equation first; keep the unit attached to the result.
10.
A drone's altitude changes at -2 meters per second for 5 seconds. What is the total altitude change?
Write a signed equation first; keep the unit attached to the result.
Exact-construction rule: operations use normalized integer numerator/denominator pairs, number-line positions use exact ticks, repeating decimals come from remainder cycles, and money contexts use exact cents. No answer depends on binary floating-point rounding.
Teaching note 1
Translate the context into a signed operation before calculating.
Teaching note 2
A negative quantity may represent direction, debt, depth, or decrease; keep the meaning attached to the sign.
Teaching note 3
Check whether the final sign and unit make sense in the original situation.
Continue the 7.NS progression
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Frequently asked questions
Are the contexts only about money?
No. The generator rotates through temperature, elevation, balances, rates, equal changes, and inventory-style multistep situations.
Do the word problems use exact values?
Yes. Money uses exact cents and fractional quantities remain rational throughout the calculation.