[Annie: 4 (x+y+z) Bradley: 4x+yz Carlos: 4xyz Zuri: 4x+4z+4y]


Students are asked to write an equivalent expression for 4x+4y+4z using the distributive property. Which student correctly wrote the expression?


a)Annie

b)Bradley

c)Carlos

d)Zuri

Verified Answer :

4x+4y+4z. I was taught to take out what was in each term, in this problem that would be 4: 4(X+y+z). Meaning A) Annie did the problem right :) I hope this helps!

Answer:

Annie

Step-by-step explanation:

In the expression

\(4x+4y+4z\)

All terms have in common the coefficient of 4, so we can take it out (or factor it) from the expression as follows:

\(4(x+y+z)\)

and due to the distributive property, in which the 4 must be multiplied by each of the terms within the parenthesis, this is equivalent to the original expression.

Thus, the student who has the right answer is: Annie.