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

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

The expression for this is: $3x + 25$

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

The expression for this is: $3y - 4$

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: $(5 + m)^2$.

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.).