Question

Match the algebraic expression with its correct simplified expression.(3 points)
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-2m + 3t - 2m - t
3m + t - m + 2t
4m - 2t + 2m - t

Answer 1

To match the algebraic expressions with their simplified forms, we first simplify each expression:

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

2. **3m + t - m + 2t**
- Combine like terms:
- (3m - m) + (t + 2t) = 2m + 3t
- **Simplified Expression: 2m + 3t**

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

Now let's match the expressions with their simplified versions:

- **-2m + 3t - 2m - t** matches with **-4m + 2t**
- **3m + t - m + 2t** matches with **2m + 3t**
- **4m - 2t + 2m - t** matches with **6m - 3t**

You may now plug these simplified forms into their corresponding functions or fields as required.