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

Question

A. 21f
B. 18 + 5f
C. 14 + 22f
D. 14 + 7f
Thanks

Answer 1

To apply the Commutative Property, we can rearrange the terms in the expression without changing their value. Let's rearrange the terms:

8 + 9f - 2 + 6f - 8f - 4 + 12

We can group the like terms:

(8 - 2 - 4 + 12) + (9f + 6f - 8f)

Simplifying inside the parentheses:

14 + (7f)

Combining the two terms:

14 + 7f

Therefore, the expression equivalent to 8 + 9f - 2 + 6f - 8f - 4 + 12 under the Commutative Property is D. 14 + 7f.