Let's carefully analyze each description in the left-hand column and match it to the correct algebraic expression on the right-hand side.
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a. Multiply n by 4 and subtract from 3
- "Multiply n by 4" → $ 4n $
- "Subtract from 3" → means $ 3 - 4n $
✔ So, this matches:
iii. $ 3 - 4n $
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b. Add 5 and n then multiply by 8
- "Add 5 and n" → $ 5 + n $
- "Then multiply by 8" → $ 8(5 + n) $ or $ 8(n + 5) $
✔ This matches:
v. $ 8(n + 5) $
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c. Multiply n by 7 and subtract 6
- "Multiply n by 7" → $ 7n $
- "Subtract 6" → $ 7n - 6 $
✔ This matches:
iv. $ 7n - 6 $
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d. Multiply n by 5 and add 7
- "Multiply n by 5" → $ 5n $
- "Add 7" → $ 5n + 7 $
But wait — look at the options:
- i. $ 7 + 5n $ → same as $ 5n + 7 $
✔ So this matches:
i. $ 7 + 5n $
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e. Add 4 and n then divide by 5
- "Add 4 and n" → $ 4 + n $
- "Divide by 5" → $ \frac{4 + n}{5} $ or $ \frac{n + 4}{5} $
✔ This matches:
vii. $ \frac{n + 4}{5} $
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f. Divide n by 7 and add 9
- "Divide n by 7" → $ \frac{n}{7} $
- "Add 9" → $ 9 + \frac{n}{7} $
✔ This matches:
ii. $ 9 + \frac{n}{7} $
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Final Matching:
| Description | Match |
|-----------|-------|
| a. Multiply n by 4 and subtract from 3 |
iii. $ 3 - 4n $ |
| b. Add 5 and n then multiply by 8 |
v. $ 8(n + 5) $ |
| c. Multiply n by 7 and subtract 6 |
iv. $ 7n - 6 $ |
| d. Multiply n by 5 and add 7 |
i. $ 7 + 5n $ |
| e. Add 4 and n then divide by 5 |
vii. $ \frac{n + 4}{5} $ |
| f. Divide n by 7 and add 9 |
ii. $ 9 + \frac{n}{7} $ |
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Note: Option
vi. $ 2 - \frac{n}{2} $ is not used — it doesn't match any of the descriptions.
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✔ Final Answer:
- a → iii
- b → v
- c → iv
- d → i
- e → vii
- f → ii
Parent Tip: Review the logic above to help your child master the concept of expression worksheet 7th grade.
