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Let's go over the answers step by step for each question from the image you uploaded:

### Multiple-choice questions:
1. **Which of the following statements is incorrect?**
   - A: \(-2 < -4\) is false (so it's incorrect).
   - Correct Answer: **A**.

2. **12 + (-9) - (-3) is the same as:**
   - This simplifies to \(12 - 9 + 3 = 12 - 9 + 3 = 6\).
   - Correct Answer: **B** is correct.

3. **If \(a = -3\), the value of \(-2a^2\) is:**
   - \(a^2 = (-3)^2 = 9\), so \(-2a^2 = -2(9) = -18\).
   - Correct Answer: **D**.

4. **The coordinates of the point that is 3 units below (3, 1):**
   - Moving 3 units down means subtracting 3 from the y-coordinate: \(1 - 3 = -2\).
   - The new coordinates are (3, -2).
   - Correct Answer: **E**.

5. **12 × (-4 + (-8) ÷ 2) equals:**
   - Simplify the expression: \(-8 ÷ 2 = -4\), so \(12 × (-4 + (-4)) = 12 × (-8) = -96\).
   - Correct Answer: **A**.

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Do you want further details on any of the solutions? Here are some related questions:

1. Can you explain why \(-2 < -4\) is false?
2. What happens if you change the subtraction to addition in question 2?
3. How do you determine the square of a negative number?
4. How would the answer change in question 4 if we moved 3 units up instead of down?
5. How does division affect the operation inside the parentheses in question 5?

**Tip:** Always simplify expressions inside parentheses first, especially when they involve division or multiplication, to avoid calculation errors.

Negative numbers multiple-choice and short-answer questions from a math worksheet.

Solve a set of problems covering inequalities, integer operations, and algebraic expressions involving negative numbers. Suitable for students in Grades 6-8, this worksheet includes multiple-choice and short-answer questions with a focus on coordinate geometry and expressions involving multiplication, division, and negative numbers.

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