Question

10 points! How could you correctly rewrite the equation 4(5 + 3) = 2(22 – 6) using the distributive property?

A]20 + 18 = 44 – 6
B] 20 + 3 = 44 - 6
C]12 + 20 = - 12 + 44
D]20 + 12 = 44 – 12

Answer 1

Option D

Explanation:

`4(5 + 3) = 2(22 -6)\\\boxed{\text {For the first part of the equation:}}\\\\4(5+3)\\\\=> 4*5 = 20\\=> 4*3 = 12\\\\\boxed{4(5+3)=20+12}\\\\\\\boxed{\text {For the second part of the equation:}}\\\\2(22-6)\\\\=> 2*22=44\\=> 2*-6 = -12\\\\\boxed{2(22-6)=44-12}\\\\\text {Put the two parts together, and we get:}\\\huge{\boxed{20+12=44-12}`

Answer 2

D.
4x5 + 4x3 = 2x22 - 2x6
20+12=44-12