anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
i believe one of them is C
Nnesha
  • Nnesha
3(6x + 2 + x) combine like terms
Nnesha
  • Nnesha
C is 18x+9 what is common factor ?

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More answers

anonymous
  • anonymous
I don't think it is C
anonymous
  • anonymous
common factor 6?
Nnesha
  • Nnesha
GREATEST common factor.
Nnesha
  • Nnesha
18 and 9 are divisible by 6,3, and ?
anonymous
  • anonymous
9
Nnesha
  • Nnesha
yes right so take out 9 (????) what would goe in the parentheses ?
Nnesha
  • Nnesha
when you take out 9 from 18x what will u have left ?
anonymous
  • anonymous
um 6?
Nnesha
  • Nnesha
in other words you have to divide both terms by common factor |dw:1438796637464:dw|
Nnesha
  • Nnesha
18x/9= ? 9/9= ?
anonymous
  • anonymous
9 and 1
Nnesha
  • Nnesha
18x divide by 9 = 9 ?
anonymous
  • anonymous
i really don't know..
anonymous
  • anonymous
oh 2
anonymous
  • anonymous
sorry its 2
Nnesha
  • Nnesha
2x
anonymous
  • anonymous
yes
Nnesha
  • Nnesha
|dw:1438796981240:dw| now tell me is it equivalent to 3(6x + 2 + x)?
Nnesha
  • Nnesha
\[\huge\rm 3(\color{ReD}{6x}+2+\color{red}{x})\]combine like terms
anonymous
  • anonymous
Yes its equivalent
anonymous
  • anonymous
nvm its not
Nnesha
  • Nnesha
yes right
Nnesha
  • 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
  • anonymous
i thought its equivalent because 6x3=18 and 6+3=9
Nnesha
  • Nnesha
you don't have to combine 6+3
Nnesha
  • Nnesha
distribute parentheses by outside term to check ur answer
Nnesha
  • 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
  • anonymous
3 is a like term
Nnesha
  • Nnesha
no i said in the parenthess
anonymous
  • anonymous
6x
Nnesha
  • Nnesha
and ?
Nnesha
  • 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
  • anonymous
x
Nnesha
  • Nnesha
yes right so combine them 6x+1x=?
anonymous
  • anonymous
7x
Nnesha
  • Nnesha
yes right so 3(6x+2+x) is 3(7x+2)
Nnesha
  • Nnesha
now look at the answer choices which one is equivlent to 3(7x+2)
anonymous
  • anonymous
C
Nnesha
  • Nnesha
alright distribute parenthesses by 3 3(7x+2) = ??? is it equivalent to 18x+9 ?
anonymous
  • anonymous
i know now
anonymous
  • anonymous
A and b because they both = 27
Nnesha
  • Nnesha
distributive property a(b+c) =a times b + a times c =ab+ac
Nnesha
  • Nnesha
they both 27 ?
Nnesha
  • Nnesha
you CAN"T combine 21x+6 they are not LIKE terms
Nnesha
  • Nnesha
21x is not same as 6 ^^x variable ^without any variable
anonymous
  • anonymous
ok sorry i messed up nvm scratch that
Nnesha
  • Nnesha
3(7x+2) distribute |dw:1438798106649:dw|
Nnesha
  • Nnesha
your explanation isn't correct.
anonymous
  • anonymous
3(7x+2) = ??? is it equivalent to 18x+9 ? Yes there equivalent
Nnesha
  • Nnesha
show your work.
anonymous
  • anonymous
ok
anonymous
  • anonymous
7x+2= 9 3x9=27 18x+9=27 they both equal 27
anonymous
  • anonymous
am i wrong?
Nnesha
  • Nnesha
first of how did you get 9 how 7x+2 equal to 9 ?
Nnesha
  • 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
  • Nnesha
\[\huge\rm 3(6x+2+x)=3(7x+2)\] so which answer choices is same as 3(7x+2) ?
anonymous
  • anonymous
ok then clearly i am confused on what im doing
anonymous
  • anonymous
21x + 6 it has a variable so you can combine it
Nnesha
  • Nnesha
do you mean combine 21x and 6 ?
anonymous
  • anonymous
no i mean 3(7x+2) and 21x + 6 they both have a variable so you can combine them
Nnesha
  • 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
  • Nnesha
they both are different equation you don't have to combine them
Nnesha
  • Nnesha
|dw:1438798858408:dw| 3(7x+2) is same as ??? distribute 7x and 2 by 3
Nnesha
  • Nnesha
\[\huge\rm \color{ReD}{3}(7x+2)=\color{reD}{3} \times 7x + \color{ReD}{3} \times 2\] = ??
anonymous
  • anonymous
before i do this 7x is just like saying 3x7 right or no?
Nnesha
  • Nnesha
yes right (3 times 7)x
anonymous
  • anonymous
ok then i got 27
Nnesha
  • Nnesha
3 times 7x = 27x ?
anonymous
  • anonymous
ok im confused on the x isnt it just 3 x 7 which is 21?
Nnesha
  • 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
  • Nnesha
4x+3 is just 4x+3
Nnesha
  • Nnesha
yes 3 times 7x =21x
Nnesha
  • Nnesha
3 times 2 = 6 right ? |dw:1438799303607:dw| so 3(7x+2) is equivalent to 21x+6
anonymous
  • anonymous
yes
anonymous
  • anonymous
so 27x is the answer
Nnesha
  • Nnesha
how ??
anonymous
  • anonymous
ohhh
Nnesha
  • Nnesha
21x+6 is just 21x+6 you CAN'T combine them they are NOT LIKE terms
Nnesha
  • Nnesha
http://www.purplemath.com/modules/polydefs2.htm here read
anonymous
  • 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
  • Nnesha
no you can't combine 21x+6 its just like making milkshake of mangoes and onion
anonymous
  • anonymous
i see *lightbulb
anonymous
  • anonymous
i wasn't thinking in that way
Nnesha
  • Nnesha
so can you combine 4z+5y (example ) ??
anonymous
  • anonymous
no because there not like terms
Nnesha
  • Nnesha
true good!

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