Question

[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

Answer 1

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 2

Annie

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.