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

Question

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.
3m + t - m + 2t
4m - 2t + 2m - t
-2m + 3t - 2m - t

Answer 1

Let's simplify each algebraic expression and match them with their correct simplified forms:

1. Expression: \(3m + t - m + 2t\)
   Simplification:
   \(3m - m + t + 2t = 2m + 3t\)

2. Expression: \(4m - 2t + 2m - t\)
   Simplification:
   \(4m + 2m - 2t - t = 6m - 3t\)

3. Expression: \(-2m + 3t - 2m - t\)
   Simplification:
   \(-2m - 2m + 3t - t = -4m + 2t\)

So the simplified forms are:

• \(3m + t - m + 2t\) simplifies to \(2m + 3t\).
• \(4m - 2t + 2m - t\) simplifies to \(6m - 3t\).
• \(-2m + 3t - 2m - t\) simplifies to \(-4m + 2t\).

You can insert the simplified forms accordingly.