Solving Two-Step Word Problems

A two-step word problem requires you to do TWO math operations in order to find the final answer.

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Definition

A two-step word problem is a math story problem where you cannot get the answer in just one calculation. You have to solve a smaller problem first, then use that answer to solve the bigger question. Think of it like two stepping stones — you must land on the first stone before you can reach the second one.

Remember the rule

READ → FIND STEP 1 → SOLVE STEP 1 → USE THAT ANSWER IN STEP 2 → SOLVE STEP 2 → Check your answer makes sense!

Key words

Two-step problem
A word problem that needs exactly two math steps to solve
Operation
A math action like adding, subtracting, multiplying, or dividing
Unknown
The number you are trying to find — often shown as a question mark or blank
Intermediate answer
The answer you get after the FIRST step, which you use again in the second step
Key words
Words in a problem that hint at which operation to use, like 'total,' 'left,' 'each,' or 'how many more'
Equation
A math number sentence that shows two sides equal each other, like 3 + 4 = 7
Altogether
A key word that usually means you need to add everything up for a total
Remaining
A key word that usually means you subtract to find what is left over

Worked examples

Mia has 8 crayons. She buys 6 more crayons. Then she gives 5 crayons to her friend. How many crayons does Mia have now?

Step 1: 8 + 6 = 14 crayons after buying more. Step 2: 14 − 5 = 9 crayons. Mia has 9 crayons. · You must finish the addition first before you can subtract what she gave away.

A baker makes 4 trays of muffins. Each tray holds 6 muffins. He sells 9 muffins. How many muffins are left?

Step 1: 4 × 6 = 24 muffins total. Step 2: 24 − 9 = 15 muffins. There are 15 muffins left. · Multiplication first gives you the total, then you subtract what was sold.

There are 30 students going on a field trip. They travel in vans that hold 6 students each. How many vans are needed? Then 2 more vans are added for teachers. How many vans are there altogether?

Step 1: 30 ÷ 6 = 5 vans for students. Step 2: 5 + 2 = 7 vans altogether. · Division gives you the number of student vans, then add the teacher vans.

Tom earns $7 doing chores on Saturday and $5 doing chores on Sunday. He spends $4 on a toy. How much money does Tom have left?

Step 1: $7 + $5 = $12 earned in total. Step 2: $12 − $4 = $8 left. Tom has $8. · Always add the earnings together first before subtracting what was spent.

A shelf has 3 rows of books. Each row has 8 books. A librarian adds 6 more books to the shelf. How many books are on the shelf now?

Step 1: 3 × 8 = 24 books already on the shelf. Step 2: 24 + 6 = 30 books total.

Common mistakes

  • Doing only one step and stopping early — always re-read the question to make sure you answered what was actually asked
  • Using the original numbers in Step 2 instead of the answer from Step 1
  • Choosing the wrong operation because a key word was misread — slow down and picture the story in your head
  • Forgetting to label the answer with units like dollars, crayons, or books
  • Trying to do both steps in your head at once — always write down the answer to Step 1 before moving on

FAQs

How do I know a problem has two steps?

After you solve what seems like the answer, re-read the question. If the problem still asks something else, you have more steps to do. Two-step problems usually have two separate questions or events happening in the story.

What if I use the wrong operation for one of the steps?

Your final answer will be wrong. Go back, re-read each sentence carefully, look for key words, and think about what is actually happening in the story — are things being joined, taken away, shared equally, or grouped?

Does it matter which step I do first?

Yes! The steps must be done in the order the story happens. The answer from Step 1 is needed to solve Step 2, so you cannot skip around.

Can a two-step problem use the same operation twice?

Absolutely! For example, you might add in Step 1 and add again in Step 2, or subtract twice. The two steps just need to be two separate calculations.

How can I check my answer?

Ask yourself: Does this number make sense in the story? You can also work backwards — start from your final answer and reverse the steps to see if you get back to the numbers in the original problem.

What should I write on my paper to keep track?

Write 'Step 1:' and solve it, then write 'Step 2:' and solve it. Always write a answer sentence at the end so you remember what the number means.

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