Apply the Commutative Property to generate an expression equivalent to 8+9f−2+6f−8f−4+12.(1 point)
Responses
14+7f
14 plus 7 f
21f
21 f
18+5f
18 plus 5 f
14+22f
14 plus 22 f
The expression equivalent to 8+9f−2+6f−8f−4+12 using the Commutative Property is 14+7f.
To generate an expression equivalent to 8+9f−2+6f−8f−4+12 using the Commutative Property, we can rearrange the terms without changing their order.
Starting with 8+9f−2+6f−8f−4+12, we can regroup the terms with the same variables together:
8 + (9f + 6f - 8f) + (-2 - 4) + 12
We can simplify the terms within the parentheses by combining like terms:
8 + 7f + (-6) + 12
Next, we can simplify further by combining the remaining like terms:
(8 - 6) + 7f + 12
Finally, we can simplify the expression:
2 + 7f + 12
This simplifies to:
14 + 7f
So, applying the Commutative Property, we find that the expression equivalent to 8+9f−2+6f−8f−4+12 is 14 + 7f.