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Word problems practice

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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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

Preserve the order of two linked operations when forming and solving an equation.

Worked example

A bicycle rental costs $8 plus $5 per hour. The total bill is $33. How many hours was the bicycle rented?

(33 − 8) ÷ 5 = 5 hours.

Remove the fixed fee first. The remaining $25 pays only for the hourly part.

Teaching notes

Make the practice count

  • Label the fixed and repeated parts of a cost.
  • Compare “halve, then add” with “add, then halve.”
  • For consecutive numbers, write how each number relates to the smallest one.

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Math SheetNameScore/ 10TeacherDateTwo-Step Equation Word ProblemsRead each story carefully. Use the relevant facts to find the requested quantity.1. Three consecutive numbers begin with an unknown value and total 48. Find the first number.2. Three consecutive even numbers begin with an unknown value and total 48. Find the first number.3. Three consecutive odd numbers begin with an unknown value and total 27. Find the first number.4. Half of a starting amount is taken, then 2 units are added, giving 5 units. What was the starting amount?5. After 2 units are added to a starting amount, half of the new amount is 5 units. What was the starting amount?6. A service costs a fixed 12 dollars plus 8 dollars for each hour. The bill is 92 dollars. How many hours were billed?7. A budget of 34 dollars buys items at 3 dollars each and leaves 4 dollars. How many items are bought?math-sheet.comPage 1 / 2
Math SheetNameScore/ 10TeacherDateTwo-Step Equation Word ProblemsRead each story carefully. Use the relevant facts to find the requested quantity.8. 6 full buses each carry 38 passengers, and 11 more passengers use a smaller vehicle. How many passengers travel?9. A walker covers 6 meters in each stage. After ? stages, 6 meters are excluded from the recorded route, leaving 66 meters. How manystages were walked?10. Three teams have the same number of items. Another table has 9 items; altogether there are 42. How many items does each teamhave?math-sheet.comPage 2 / 2

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