Question

Lin and Noah are solving the equation 7(x+2)=91.
Lin starts by using the distributive property. Noah starts by dividing each side by 7.
Show what Lin's and Noah's full solution methods might look like.

What is the same and what is different about their methods?

Answer 1

Lin: 7x+14 = 91
Noah: x+2 = 13
...

Answer 2

The thing that is the same about the methods is: they both used mathematical means to solve.
What is different is: Lin made his equation bigger by using the distributive property, while Noah made his simpler by dividing each piece by 7

Answer 3

i could figure out noahs, it is X = 11

Answer 4

I know the answer to Noah's, but I'm not very good with distributive property, so I'll refrain from explaining Lin's.

The equation we are given is 7(x+2)=91. To simplify this, and solve it, we need to single out the x and it's value. So, with that logic, we have to get rid of all the other junk.

To do this, you have to cancel out the other numbers. You first start off with what's on the outside of the parentheses.
7(x+2)=91
÷7 ÷7
x+2=91

You see? You had to do the opposite of what the equation tells you to do. Dividing the 7, and the 91 both by 7 will cancel ot

Answer 5

-cancel it out. I'm afraid I accidentally clicked post. Anyways, now we have x+2=13 (Apologies on this too, I misclicked).

x+2=13
...-2....-2
x=11

And there, you've solved it. :)