Question

Match the algebraic expression with its correct simplified expression.(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
-2m + 3t - 2m - t
4m - 2t + 2m - t
3m + t - m + 2t

Answer 1

To simplify the algebraic expressions provided, we will combine like terms in each expression.

1. **Expression: -2m + 3t - 2m - t**
- Combine like terms:
- For m: -2m - 2m = -4m
- For t: 3t - t = 2t
- Simplified expression: **-4m + 2t**

2. **Expression: 4m - 2t + 2m - t**
- Combine like terms:
- For m: 4m + 2m = 6m
- For t: -2t - t = -3t
- Simplified expression: **6m - 3t**

3. **Expression: 3m + t - m + 2t**
- Combine like terms:
- For m: 3m - m = 2m
- For t: t + 2t = 3t
- Simplified expression: **2m + 3t**

We can pair the results above:

- **-2m + 3t - 2m - t** → **-4m + 2t**
- **4m - 2t + 2m - t** → **6m - 3t**
- **3m + t - m + 2t** → **2m + 3t**

Unfortunately, without a specific list of options for matching each expression and simplified expression, I can't provide the exact matches you need. If you provide a list of choices for each pairing, I can assist you with the matching.