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Word Problems to Expressions

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Word Problems to Expressions worksheet preview

Word Problems to Expressions

Algebraic expressions worksheet illustration

📚 Part 1: Translating Words to Expressions

1. Lucy has some stickers. She buys 8 more stickers. Which expression shows how many stickers Lucy has now?

s + 8

8 - s

8s

s - 8

2. Tom has 15 marbles. He gives away some marbles. Which expression shows how many marbles Tom has left?

15 + m

15 - m

15m

m - 15

3. A number is doubled and then 5 is added. Which expression represents this?

n + 2 + 5

2n + 5

2(n + 5)

n + 5 × 2

4. Sarah spends £3 less than the amount of money she has. If she has £p, which expression shows how much she spends?

p + 3

p - 3

3 - p

3p

✏️ Part 2: Write Your Own Expressions

5. Write an algebraic expression for each word problem. Choose your own variable.

a) Ben has some football cards. His friend gives him 12 more cards.

Expression: ___________________

b) A pizza is cut into equal slices. If there are 8 slices and some are eaten, how many slices are left?

Expression: ___________________

c) The temperature drops by 7°C from its starting temperature.

Expression: ___________________

6. Read this problem and write the expression:

Emma runs the same distance every day for a week (7 days), then runs an extra 2 miles on Sunday.

Let d = distance Emma runs each day

Expression for total distance: ___________________

7. Create your own word problem and write the expression:

Expression: ___________________

🎯 Part 3: Challenge Problems

8. Match each word problem to its correct expression by drawing lines:
The difference between a number and 9
9 more than a number
9 times a number
9 divided by a number
n + 9
9n
n - 9
9 ÷ n
9. A shop sells notebooks for £n each. Mrs Johnson buys 4 notebooks and pays with a £20 note. Write an expression for her change.
10. Explain in your own words: What does the expression 3x - 7 tell us about a real-life situation?

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