Question

Of the four expressions presented here, which two are equivalent? (5 points)

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

Expressions II, III, and IV are simplified. All like terms are combined and there is nothing you can do to simplify them further.

Expression I is not simplified.
Collect like terms in expression I.
What do you get?

Remember that like terms are terms that have the same variable.
You have 3 terms with the variable n. They can be added together.
You cannot add the 7 together because since it does not have a variable, it is not a like term to the other terms.
Also, remember that n is the same as 1n.

Answer 2

Example:
x + 5x + 9 + 2x = 1x + 5x + 2x + 9 = 8x + 9

Follow this example and do the same to expression I.