Of the four expressions presented here, which two are equivalent? Expression I: 6n + 5 Expression II: 2n + 5 + n + 3n Expression III: 5n + 5 Expression IV: 11n I and II II and III III and IV I and IV

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Of the four expressions presented here, which two are equivalent? Expression I: 6n + 5 Expression II: 2n + 5 + n + 3n Expression III: 5n + 5 Expression IV: 11n I and II II and III III and IV I and IV

Mathematics
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Its Either B Or D. My Choice Was D But I Wanna Make Sure

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simplify the second one. bring like terms together 2n + 3n + n = 5 = ?
welshguy. so it is B Not D?
what is 2n + 3n + n
I DUNNO THATS WHY IM ASKING XD
5n + n?
you are getting there what is 5n + n ?
5n.
if i have 5 cats and i get another cat how many acts have i got?
* cats lol
2n + 5 + n + 3n is what it is.. not what ur putting
so if i simplifiy what i put it becomes 5n + 5 + n
suppose n stands for a cat 5 cats + 1 cat = 6 cats 5n + n = 6n
you can add all the n's together.
but it doesnt tell you n = 1.. you cant add n and assume its gonna make 5n 6n
n is the same as 1n
n + n = 2n n + 5n = 6n
1n + 5n = 6n
so then its A?
yes
how u said its 6n alone not 6n + 5n
Expression I: 6n + 5
A = expression 1 and expression 2.
you can only add LIKE terms n and 2n and 3n all have n in them they are like terms 5 is different
yes thats right
yeah. 5 is not a like term. so where did the 5 come from.
It didn't come from anywhere its just there
how is it there. how did it get there.
you said it was 6n not 6n + 5
so how did the 5 get there...
It might help to think of n as a box of apples and the 5 as 5 apples so 2n + 5 is |dw:1440789153532:dw|
2 boxes of apples + 5 apples 2n + 5
your not getting it.. an example isnt gonna help. where did the 5 come from. your not explaining hat.
that* not hat.
the 5 are 5 apples
... thats not an answer.
where.
did.
the 5.
come from
saying the 5 apples isnt really telling me.
I'm afraid its you who's not getting it my friend
how so. care to explain how im not getting it?
would you prefer chocolates, or coconuts - it could be 5 anything? lets put it this way . Most people understand this argument. I think you are kidding me on.
Expression I: 6n + 5 Expression II: 2n + 5 + n + 3n
i read the wrong one forgive me xD. i get it now 2n + 3n = 5n. 5n + n = 6n. then the 6n + 5 is whats left over.
simplify I gives II
ok
i know. like i said after simplifying Expression I: 6n + 5 Expression II: 2n + 5 + n + 3n 2n + 3n + 5n + n + 6n.
then it leave 6n + 5
therefore expression 2 simplified = expression 1
this analogy with apples , cats or whatever may be a bit childish but it very often is the key to understanding for most people. yes
\[3 n+2 n+n+5=6 n+5 \]

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