https://file.aiquickdraw.com/mathbot/file/1727356892742m8l1h6m8.jpg

Let's go over the questions in your image one by one:

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**Question 8:**  
"Three times a number increased by 25 (let \( x \) be the number)."

The expression for this is:
\[
3x + 25
\]

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**Question 9:**  
"Four subtracted from three times a number (let \( y \) be the number)."

The expression for this is:
\[
3y - 4
\]

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**Question 10:**  
"The square of the sum of 5 and a number (let \( m \) be the number)."

You are asked to select the correct option. Let's break it down:

The phrase "the square of the sum of 5 and a number" translates to:
\[
(5 + m)^2
\]

So, the correct answer is **D**: \( (5 + m)^2 \).

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Would you like more detailed explanations or clarifications on any of these? Let me know!

Here are 5 related questions to further explore these types of problems:

1. How would the expression change if the number was first subtracted by 10 and then tripled?
2. What is the expanded form of \( (5 + m)^2 \)?
3. How would you represent the product of 4 and the sum of a number \( z \) and 8?
4. If you subtract 15 from the expression \( 3x + 25 \), what is the resulting equation?
5. How does the expression change if the word "decreased" is used instead of "subtracted"?

**Tip:** When translating word problems to algebraic expressions, focus on key phrases like "increased by" or "subtracted from" to determine the operation (addition, subtraction, etc.).

Three times a number increased by 25, Four subtracted from three times a number, The square of the sum of 5 and a number

This problem explores algebraic expressions involving a number increased by 25, subtracting 4 from three times a number, and finding the square of the sum of 5 and a number. Suitable for middle school students (Grades 6-8).

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