Four expressions are shown below:
21x + 6
3(7x + 2)
18x + 9
3(6x + 3)
Which two expressions are equivalent to 3(6x + 2 + x)?
A and D
C and D
A and B
B and C

- anonymous

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- anonymous

i believe one of them is C

- Nnesha

3(6x + 2 + x) combine like terms

- Nnesha

C is 18x+9 what is common factor ?

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## More answers

- anonymous

I don't think it is C

- anonymous

common factor 6?

- Nnesha

GREATEST common factor.

- Nnesha

18 and 9 are divisible by 6,3, and ?

- anonymous

9

- Nnesha

yes right so take out 9 (????) what would goe in the parentheses ?

- Nnesha

when you take out 9 from 18x what will u have left ?

- anonymous

um 6?

- Nnesha

in other words you have to divide both terms by common factor |dw:1438796637464:dw|

- Nnesha

18x/9= ?
9/9= ?

- anonymous

9 and 1

- Nnesha

18x divide by 9 = 9 ?

- anonymous

i really don't know..

- anonymous

oh 2

- anonymous

sorry its 2

- Nnesha

2x

- anonymous

yes

- Nnesha

|dw:1438796981240:dw|
now tell me is it equivalent to 3(6x + 2 + x)?

- Nnesha

\[\huge\rm 3(\color{ReD}{6x}+2+\color{red}{x})\]combine like terms

- anonymous

Yes its equivalent

- anonymous

nvm its not

- Nnesha

yes right

- Nnesha

\(\color{blue}{\text{Originally Posted by}}\) @Nnesha
\[\huge\rm 3(\color{ReD}{6x}+2+\color{red}{x})\]combine like terms
\(\color{blue}{\text{End of Quote}}\)
combine them let mek now what you get

- anonymous

i thought its equivalent because 6x3=18 and 6+3=9

- Nnesha

you don't have to combine 6+3

- Nnesha

distribute parentheses by outside term to check ur answer

- Nnesha

first of all
3(6x+2+x) here what are like terms in the parentheses ? combine them you will get one of answer

- anonymous

3 is a like term

- Nnesha

no i said in the parenthess

- anonymous

6x

- Nnesha

and ?

- Nnesha

\(\color{blue}{\text{Originally Posted by}}\) @Nnesha
\(\color{blue}{\text{Originally Posted by}}\) @Nnesha
\[\huge\rm 3(\color{ReD}{6x}+2+\color{red}{x})\]combine like terms
\(\color{blue}{\text{End of Quote}}\)
look at that i changed the color of both like terms

- anonymous

x

- Nnesha

yes right so combine them
6x+1x=?

- anonymous

7x

- Nnesha

yes right so 3(6x+2+x) is 3(7x+2)

- Nnesha

now look at the answer choices which one is equivlent to 3(7x+2)

- anonymous

C

- Nnesha

alright distribute parenthesses by 3
3(7x+2) = ???
is it equivalent to 18x+9 ?

- anonymous

i know now

- anonymous

A and b because they both = 27

- Nnesha

distributive property a(b+c)
=a times b + a times c
=ab+ac

- Nnesha

they both 27 ?

- Nnesha

you CAN"T combine 21x+6 they are not LIKE terms

- Nnesha

21x is not same as 6
^^x variable ^without any variable

- anonymous

ok sorry i messed up nvm scratch that

- Nnesha

3(7x+2) distribute |dw:1438798106649:dw|

- Nnesha

your explanation isn't correct.

- anonymous

3(7x+2) = ???
is it equivalent to 18x+9 ?
Yes there equivalent

- Nnesha

show your work.

- anonymous

ok

- anonymous

7x+2= 9
3x9=27
18x+9=27
they both equal 27

- anonymous

am i wrong?

- Nnesha

first of how did you get 9
how 7x+2 equal to 9 ?

- Nnesha

2nd i just told you can't combine a number with variable with number without variable
like 18x+9=27
18 have x variable but 9 doesn't so they are not like terms

- Nnesha

\[\huge\rm 3(6x+2+x)=3(7x+2)\]
so which answer choices is same as 3(7x+2) ?

- anonymous

ok then clearly i am confused on what im doing

- anonymous

21x + 6 it has a variable so you can combine it

- Nnesha

do you mean combine 21x and 6 ?

- anonymous

no i mean 3(7x+2) and 21x + 6 they both have a variable so you can combine them

- Nnesha

you need two expression that are equivalent to 3(6x+2+x) (same as 3(7x+2) now you can see one of answer choice is 3(7x+2) so
3(7x+2) is equivalent to 3(7x+2)

- Nnesha

they both are different equation you don't have to combine them

- Nnesha

|dw:1438798858408:dw|
3(7x+2) is same as ???
distribute 7x and 2 by 3

- Nnesha

\[\huge\rm \color{ReD}{3}(7x+2)=\color{reD}{3} \times 7x + \color{ReD}{3} \times 2\] = ??

- anonymous

before i do this 7x is just like saying 3x7 right or no?

- Nnesha

yes right (3 times 7)x

- anonymous

ok then i got 27

- Nnesha

3 times 7x = 27x ?

- anonymous

ok im confused on the x isnt it just 3 x 7 which is 21?

- Nnesha

here are some example of like terms
4x+3x=7x
4y+4y= 8y
4x+3 isn't equal to 7x no! you can't combine 4x with 3 they are not like terms

- Nnesha

4x+3 is just 4x+3

- Nnesha

yes 3 times 7x =21x

- Nnesha

3 times 2 = 6 right ? |dw:1438799303607:dw|
so 3(7x+2) is equivalent to 21x+6

- anonymous

yes

- anonymous

so 27x is the answer

- Nnesha

how ??

- anonymous

ohhh

- Nnesha

21x+6 is just 21x+6 you CAN'T combine them they are NOT LIKE terms

- Nnesha

http://www.purplemath.com/modules/polydefs2.htm here read

- anonymous

i see im not suppose to do anything after that i was doing 21x+6=27x i thought i had to finish the problem...

- Nnesha

no you can't combine 21x+6 its just like making milkshake of mangoes and onion

- anonymous

i see *lightbulb

- anonymous

i wasn't thinking in that way

- Nnesha

so can you combine 4z+5y (example ) ??

- anonymous

no because there not like terms

- Nnesha

true good!

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