Question

Which equation demonstrates the Distributive Property?

Responses

3(n−2)=3n−6
3

8(n+7)=8(7+n)
8 times open paren n plus 7 close paren is equal to 8 times open paren 7 plus n close paren

(n+10)+4=n+14
open paren n plus 10 close paren plus 4 is equal to n plus 14

12+3(n−4)=3(n−4)+12
12 plus 3 times open paren n minus 4 close paren is equal to 3 times open paren n minus 4 close paren plus 12

Answer 1

The equation that demonstrates the Distributive Property is 3(n-2) = 3n-6.

The Distributive Property states that when you multiply a number by a sum or difference inside parentheses, you can distribute the multiplication to each term inside the parentheses. In this equation, the number 3 is being multiplied by the expression (n-2).

To distribute the multiplication, you multiply 3 by n, which gives you 3n, and then you multiply 3 by -2, which gives you -6. So the equation becomes 3n - 6.

This demonstrates the Distributive Property because we distributed the multiplication of 3 to both terms inside the parentheses.

Explanation: