https://file.aiquickdraw.com/mathbot/file/1726388569487bsoaaebt.jpg

The statement in the image reads:

"Three times a number increased by four is subtracted from two times the same number."

Let's break this down step by step:

1. Let \( n \) represent the number.
2. "Three times a number increased by four" can be written as \( 3n + 4 \).
3. "Two times the same number" can be written as \( 2n \).
4. The expression says that the first part (\( 3n + 4 \)) is subtracted from the second part (\( 2n \)).

Putting it all together:

\[
2n - (3n + 4)
\]

This is the mathematical translation of the sentence.

Would you like more details or have any questions? Here are some related questions to practice with:

1. How would you express "four times a number decreased by six" mathematically?
2. What does the expression \( 3n + 7 \) represent in words?
3. How would you simplify \( 2n - (5n - 3) \)?
4. If \( 3n + 4 = 14 \), how would you solve for \( n \)?
5. What is the result of \( 2n - (3n + 4) \) when \( n = 5 \)?

**Tip**: When translating words into symbols, focus on the key terms like "times," "increased by," and "subtracted from" to guide you.

Three times a number increased by four is subtracted from two times the same number.

Learn how to translate the word problem 'Three times a number increased by four is subtracted from two times the same number' into the algebraic expression 2n - (3n + 4). Suitable for middle school students.

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