Skill: Create a word problem for an expression

Explanation and Free Practice Resources

Creating a word problem for an expression involves interpreting each number, operation, and grouping symbol as a meaningful quantity or relationship, using contexts such as combining, comparing, equal groups, rates, or sharing. The situation must preserve the expression’s order of operations—for example, distinguishing a quantity multiplied by a sum from a product plus another quantity—and use appropriate whole-number, decimal, or fraction values. This connects verbal modeling with later algebraic representation.

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Detailed Explanation: Create a word problem for an expression

To create a word problem for an expression:

Identify the operations and numbers.
Decide what each number represents.
Use words that show the correct order of operations.
Check that the situation matches the entire expression.

Suppose the expression is

4(3+2)

Step 1: Interpret the parentheses

The parentheses mean that $3+2$ happens first. This could represent two types of objects being combined:

$3$ red apples
$2$ green apples

So, each group has

3+2=5

apples.

Step 2: Interpret the multiplication

The $4$ outside the parentheses means there are 4 equal groups of the combined amount.

Step 3: Write the word problem

A grocery store makes 4 bags of fruit. Each bag contains 3 red apples and 2 green apples. How many apples are in all 4 bags?

Step 4: Check the expression

Each bag contains $3+2$ apples, and there are 4 bags:

4(3+2)=4(5)=20

So, there are 20 apples altogether.

Be careful not to write a situation that means $4\cdot3+2$ . That expression would describe 4 groups of 3 apples, with 2 more apples added afterward—not 4 groups that each contain both 3 apples and 2 apples.

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Division Expression Display - Long Division to Words

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