Word problems
Two-step equation word problems
Solve ten stories involving fixed fees and rates, budgets, halves and consecutive numbers. Choose number wording and print a separate answer key.
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Multi-step equation word problems
Reverse three-operation number processes, including unknown divisors and starting quantities. Choose positive or negative whole-number or decimal answers.
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Read the story, identify the requested quantity and show your reasoning. Include the correct unit in your answer.
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Read, model, calculate, check
Ask learners to identify what is known and what the question asks. A drawing, timeline or equation can make the relationship visible before they calculate. Check the answer against the original story and keep its unit.
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Learning objective
What this activity builds
Recover an unknown operand by preserving operation order and testing the result in the original process.
Worked example
A number is multiplied by 3, then 4 is subtracted, then the result is divided by 2. The final result is 7. What is the starting number?
(7 × 2 + 4) ÷ 3 = 6.
Undo the operations in reverse order: multiply by 2, add 4, then divide by 3. Check: (6 × 3 − 4) ÷ 2 = 7.
Teaching notes
Make the practice count
- Record the forward process before reversing it.
- Keep the unknown dividend distinct from an unknown divisor.
- Check the exact answer by substitution, especially with negatives or decimals.
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A useful next step
Related activities
Order of operations
Advanced order of operations worksheets
Work through twelve expressions with positive, negative or mixed inputs. Combine easy or hard practice with grouping, nested groups and exponents, and check a separate answer key.
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