Question

Using the Associative Property, which of the following expressions is equivalent to (8+12x)−9x
(
8
+
12
𝑥
)
−
9
𝑥
?(1 point)
Responses

(8+21x)
(
8
+
21
𝑥
)
open paren 8 plus 21 x close paren

8+3x
8
+
3
𝑥
8 plus 3 x

8−(12x−9x)

Answer 1

To find an expression equivalent to \((8 + 12x) - 9x\) using the Associative Property, we can rearrange and group the terms within the expression.

Starting with the original expression:
\[
(8 + 12x) - 9x
\]

Using the Associative Property, we can rearrange the terms:
\[
8 + (12x - 9x)
\]

Calculating \(12x - 9x\):
\[
12x - 9x = 3x
\]

Now substituting back in gives:
\[
8 + 3x
\]

Thus, the expression equivalent to \((8 + 12x) - 9x\) is:
\[
8 + 3x
\]

Therefore, the correct response is:
**8 + 3x** (8 plus 3 x).