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To solve the problem in Question 7:

**Expression:**  
\[
(-3)^2 + (-2)^3 \div 2 + 15
\]

**Step-by-Step Solution:**

1. **Evaluate \((-3)^2\):**
   \[
   (-3)^2 = 9
   \]

2. **Evaluate \((-2)^3\):**
   \[
   (-2)^3 = -8
   \]

3. **Divide \((-8) \div 2\):**
   \[
   -8 \div 2 = -4
   \]

4. **Combine all terms:**
   \[
   9 + (-4) + 15
   \]

5. **Simplify the expression:**
   \[
   9 - 4 + 15 = 20
   \]

So, the correct answer is **C) 20**.

Would you like further clarification or details on any of these steps?

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Here are some related questions for practice:

1. How would the result change if the expression were \((-3)^3 + (-2)^3 \div 2 + 15\)?
2. What is the result of \((-4)^2 + (-3)^3 \div 3 + 10\)?
3. How does the answer change if we use \((+3)^2\) instead of \((-3)^2\)?
4. What is the answer if you divide by \(4\) instead of \(2\) in the expression?
5. How would you solve if the last term was subtracted instead of added, such as \(+ (-15)\)?

**Tip:** Always follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) to ensure accurate results.

Learn how to solve the expression (-3)^2 + (-2)^3 ÷ 2 + 15 by applying the order of operations. This guide breaks down each step for evaluating exponents, division, and addition. Suitable for students in Grades 6-8.

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