Match the algebraic expression with its correct simplified expression.(3 points)

Question

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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.