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. 3m + t - m + 2t -2m + 3t - 2m - t 4m - 2t + 2m - t
3m + t - m + 2t -2m + 3t - 2m - t = 4m - 2t + 2m - t
To match the algebraic expression with its simplified expression, we need to simplify each expression and compare them.
The given algebraic expression is: 3m + t - m + 2t -2m + 3t - 2m - t
Now, let's simplify the expression step by step:
1. Combine like terms:
3m - m - 2m - 2m + t + 2t + 3t - t
2. Simplify each term:
(3m - m - 2m - 2m) + (t + 2t + 3t - t)
3. Combine like terms again:
(3 - 1 - 2 - 2)m + (1 + 2 + 3 - 1)t
4. Simplify further:
(-2m)m + (5t)t
5. Compute:
-2m^2 + 5t^2
So, the simplified expression is: -2m^2 + 5t^2
Therefore, the match for the given algebraic expression is:
3m + t - m + 2t -2m + 3t - 2m - t -> -2m^2 + 5t^2
To match the algebraic expression with its simplified expression, let's simplify each expression.
The given algebraic expression is:
3m + t - m + 2t - 2m + 3t - 2m - t
Let's group the like terms together:
(3m - m - 2m - 2m) + (t + 2t + 3t - t)
Now, combine the like terms:
(3 - 1 - 2 - 2)m + (1 + 2 + 3 - 1)t
Simplifying further:
(-2)m + 5t
Therefore, the simplified expression for the given algebraic expression is:
-2m + 5t
Now you can match the simplified expression -2m + 5t with its corresponding option.