Question

According to the Associative Property, which expression is equivalent to 30m+(21m−53)+(18−2m)
?(1 point)
Responses

51m+(−53+18)−2m
51 m plus left parenthesis negative 53 plus 18 right parenthesis minus 2 m

53m−35
53 m minus 35

(30m+21m)+(18−2m)
left parenthesis 30 m plus 21 m right parenthesis plus left parenthesis 18 minus 2 m right parenthesis

(49m−53)+16

Answer 1

To determine which expression is equivalent to \( 30m + (21m - 53) + (18 - 2m) \) based on the Associative Property, we need to understand that the Associative Property allows us to group terms in different ways without changing the sum.

Now, let's rewrite the original expression for clarity:

\( 30m + (21m - 53) + (18 - 2m) \)

Using the Associative Property, we can rearrange and group the terms:

1. The expression can be grouped as follows:
\( (30m + 21m) + (18 - 2m - 53) \)

However, we need to compare it with the provided options.

From the given responses, we have:

1. **51m + (-53 + 18) - 2m:** This simplifies to \( 51m - 35 - 2m \) or \( 49m - 35 \).
2. **53m - 35**
3. **(30m + 21m) + (18 - 2m)**: This correctly groups the terms using the Associative Property.
4. **(49m - 53) + 16**: This doesn't correctly reflect the grouping of the original expression.

The correct option that reflects the associative property while keeping the same grouping is:

**(30m + 21m) + (18 - 2m)**

So the answer is:
**(30m + 21m) + (18 - 2m)**