Question

Which property of operations should be applied first when adding 5(g+2)+3(h−4)
?(1 point)
Responses

identity property
identity property

associative property
associative property

distributive property
distributive property

commutative property

Answer 1

In the expression \( 5(g+2) + 3(h-4) \), you should apply the **distributive property** first. This property allows you to multiply a single term by each term in the parentheses.

So, you would first distribute \( 5 \) to \( (g+2) \) and \( 3 \) to \( (h-4) \):

- \( 5(g+2) = 5g + 10 \)
- \( 3(h-4) = 3h - 12 \)

Thus, the correct answer is **distributive property**.