https://file.aiquickdraw.com/mathbot/file/17282608071005i906c9v.jpg

Let's analyze the number-line diagrams and match them with the corresponding expressions:

1. **Diagram i**: The arrow starts at 0, moves to the right to 8, and then moves left by 6. This represents the expression **8 + (−6)** because you're starting with 8 and subtracting 6.  
   - **Match: a. 8 + (−6)**
   - **Solution: 8 + (−6) = 2**

2. **Diagram ii**: The arrow starts at 0, moves left to −8, and then moves left again by 6. This represents the expression **−8 + (−6)** because you're starting with −8 and subtracting 6 more.  
   - **Match: b. −8 + (−6)**
   - **Solution: −8 + (−6) = −14**

3. **Diagram iii**: The arrow starts at 0, moves right to 6, and then moves left by 8. This represents the expression **6 + (−8)**, but this isn’t one of the options exactly. However, it looks closest to **−8 + 6**, which is similar in result.  
   - **Match: d. −8 − 6** 
   - **Solution: −8 − 6 = −14**

4. **Diagram iv**: The arrow starts at 0, moves left by 8 and continues left by 6. This shows the negative addition of 8 and 6.  
   - **Match: d. −8 − 6**
   -



Match each number-line diagram to the expression it illustrates. Then solve it.

This problem involves matching number-line diagrams with corresponding expressions and solving them. It includes operations with positive and negative integers using algebraic addition and subtraction on a number line. Suitable for Grades 6-8.

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