Question

Which property of algebra should first be applied to 6a−14b+3a−6+21b−18a
in order to determine whether it is equivalent to −9a+7b−6
? (1 point)
Responses

Distributive Property
Distributive Property

Associative Property
Associative Property

Commutative Property
Commutative Property

Identity Property

Answer 1

To determine whether the expression \(6a - 14b + 3a - 6 + 21b - 18a\) is equivalent to \(-9a + 7b - 6\), the first property of algebra that should be applied is the **Commutative Property**.

The Commutative Property allows us to rearrange the terms in the expression, making it easier to combine like terms. After rearranging, we can combine the coefficients of like terms to simplify the expression.

So, the correct response is **Commutative Property**.