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 find the expression equivalent to \(30m + (21m - 53) + (18 - 2m)\) using the Associative Property, we can group the terms in different ways without changing the sum.

Let's analyze the provided options:

1. **\(51m + (-53 + 18) - 2m\)**: This groups and combines terms but does not rearrange all terms consistently.

2. **\(53m - 35\)**: This is a simplified form but does not use the associative property directly; we need to check if this simplifies back to the original expression.

3. **\((30m + 21m) + (18 - 2m)\)**: This form explicitly uses the Associative Property by grouping the first two terms together.

4. **\((49m - 53) + 16\)**: This also is a different arrangement but doesn't clearly follow from the original expressions combined appropriately.

The correct answer that clearly illustrates the Associative Property is:

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

Therefore, the answer is:

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