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

Question

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

Answer 1

To apply the commutative property, we can rearrange the terms without changing their values.

First, let's group the terms with the variable "f" together:

9f + 6f - 8f

Now, let's rearrange the terms with the variable "f" and the constant terms separately:

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

Next, let's combine the like terms:

7f + (8 - 2 - 4 + 12)

Finally, let's simplify the expression:

7f + 14

Therefore, the expression equivalent to 8 + 9f - 2 + 6f - 8f - 4 + 12 when applying the commutative property is 7f + 14.