Question

Of the four expressions presented here, which two are equivalent?

Expression I: 3n + 7 + n + 4n
Expression II: 7n + 7
Expression III: 15n
Expression IV: 8n + 7

I and II
II and III
III and IV
I and IV

Answer 1

What do you believe the first step is to figure out what the question is asking for?

Answer 2

The first thing I would do is combine the like terms within the expressions that I can, which is only for Expression I

Answer 3

After that, we can use process of elimination to determine our answer

Answer 4

ok i got it thank you

Answer 5

You're welcome C:

Answer 6

as mudd said, you would simplify each expression so that it'll be easier to see which ones are the same,,, the only one we can simplify is expression 1, \(\bf \color{lime}{3n} + 7 + \color{lime}
{n} + \color{lime}{4n}\)
The terms that can be combined are (3n+n+4n)
you should know that n is equal to 1n
so, combining the like terms, 3n+n=4n
4n+4n=8n
so, we're left if 8n+7

\(\sf \color{aqua}{Expression ~I}:~ \color{lime}{3n} + \color{tomato}{7} + \color{lime}{n} + \color{lime}{4n}\longrightarrow \boxed{\sf{\color{lime}{8n}+\color{tomato}{7}}}\\
\color{aqua}{Expression~ II}: ~\color{lime}{7n} + \color{tomato}{7}\\
\color{aqua}{Expression~ III}: ~ \color{lime}{15n}\\
\color{aqua}{Expression~ IV}: ~ \color{lime}{8n} + \color{tomato}{7}\)
We can see that both Expression I and Expression IV are both 8n+7, so they are the same or equivalent.
this means that 3n+7+n+4n equals 8n+7 or is equivalent to 8n+7.