Apply the Commutative Property to generate an expression equivalent to 8+9f−2+6f−8f−4+12

Question

.(1 point)
Responses

14+7f
14 plus 7 f

14+22f
14 plus 22 f

21f
21 f

18+5f
18 plus 5 f

Answer 1

To apply the Commutative Property and generate an equivalent expression for \( 8 + 9f - 2 + 6f - 8f - 4 + 12 \), we can rearrange the terms.

Let's first combine like terms (the constant terms together and the \(f\) terms together):

1. Combine the constant terms: \[ 8 - 2 - 4 + 12 = 14 \]

2. Combine the \( f \) terms: \[ 9f + 6f - 8f = (9 + 6 - 8)f = 7f \]

Putting it all together, we have: \[ 14 + 7f \]

Thus, an equivalent expression is \( 14 + 7f \).

The correct response is: 14 plus 7 f.