Can someone PLEASE give me a 7th grade algebra equation, and show me how to solve it?

- anonymous

Can someone PLEASE give me a 7th grade algebra equation, and show me how to solve it?

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- katieb

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- amistre64

7x + 10 = 59

- anonymous

2x + 1 = 3 undo +1 by -1 from both sides to get balanced
2x=2 divide both sides by 2
x=1

- anonymous

So, you would have to go through the order of operations, and start with the... ugh

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- anonymous

i'm so stupid >:(

- anonymous

inverse operation + and -, x and /

- amistre64

we can start simpler:
how about:
x+3 = 5

- anonymous

that would be 2

- amistre64

you are correct, but why is it 2?

- anonymous

because 3- 5=2

- anonymous

always undo addition or subtraction first then multiplication or division...you got it!

- anonymous

:D so, can you give me a harder one?

- amistre64

almost correct :) 5 - 3 = 2

- anonymous

5-3 = 2

- anonymous

wait what did i say?

- amistre64

3 - 5 = -2

- anonymous

oops thats what i meant... that would be a negative right?

- anonymous

yes!

- anonymous

sweet

- anonymous

very good!

- amistre64

but lets step thru this easy one so you can know what is going on underneath it all.
It does no good to simply go ..thats an easy one! and give the answer right?

- anonymous

true

- anonymous

P.E.M.D.A.S.

- amistre64

x + 3 = 5 that equal sign means that we want to keep things in balance, have you ever played on a seesaw?

- anonymous

yes

- amistre64

what happens when the kids on each end weigh the same?

- anonymous

one will have to push off to make them move, or else it will be balanced. and that would still be 2

- amistre64

correct :) now, we want to keep our equation balanced at ALL TIMES!! otherwise it becomes a lie...and lies are bad :)

- anonymous

yes... haha

- amistre64

if we want to solve for "x" we need to get it all by itself so we can ask it some personal stuff.... we need to get rid of all that stuff that is attached to it right?

- anonymous

yeah... so you would have to follow order of operations?

- amistre64

order of operations is good to know, and we will get to that sometime.. but lets take this step by step so we understand the basics that every other problem you come across will face ok?

- anonymous

ok. i'm sorry i suck at math :/

- anonymous

those are the basics just remember to use the order of operations backwards ; )

- amistre64

so lets look at the (x+3). its got extra stuff; it has a (+3) sticking to it right? If we could get this to be more like (x+0) that would be great right?

- anonymous

yes i think?

- amistre64

does x+0 = x?

- anonymous

yes

- amistre64

then we want x+0 :)
how do we get rid of (+3) and turn it into "0"??

- anonymous

ummmmm.... put it in parenthises?

- anonymous

NO

- amistre64

i wish lol

- anonymous

WE WOULD SUBTRACT

- amistre64

thats correct, we would take away 3. So lets do that here:
x+3-3 = 5-3 because if we take away from one side we gotta take away from the other right?

- anonymous

yeah. so x would equal 2?

- amistre64

it will....but lets see why.
we get x+0 = 2 from this. And we all no that zero is pretty useless...not!!
x+0 = x, and thats important to know :) so
x = 2

- anonymous

ahhh i understand.

- anonymous

wait where did you get the 5?

- anonymous

oh no nevermind.

- amistre64

I dug around in the recesses of my brain and pulled it out to create a 7th grade algebra question for you lol

- anonymous

:D

- amistre64

tell me what I do with this one now:
t - 4 = 3

- anonymous

turn the 4 into 0? i think i know the answer to this though

- anonymous

1?

- amistre64

lets turn the 4 into how? we have t - 4 .... what doe we do to turn it into t+0 ??

- anonymous

O.O

- amistre64

4 into 0 how...

- anonymous

oh subtract

- amistre64

lets try that and see if it works ok?
t - 4 - 4 = 3
t - 8 = 3 .... that didnt do us much good did it?
lets go back to:
t - 4 = 3

- anonymous

ok. so would we change it to 4-3=t?

- amistre64

stay with me now :)
do you see that t is attached to a (-4)? t-4

- anonymous

Â¿:Ä±

- anonymous

yes

- anonymous

a negative 4?

- amistre64

good, yes :)

- amistre64

how do we get rid of a -4?

- anonymous

add 4

- amistre64

exactly :)

- amistre64

lets try it out:
t -4+4 = 3+4
t-0 = 7
t = 7

- anonymous

i think i understand that.. but why wouldn't the 3 be a negative if its... wait i'm confusing myself....

- amistre64

we add 4 to EACH side right?
t -4+4 = 3+4 what does 3+4 =?

- anonymous

7....

- anonymous

OH

- anonymous

i understand

- amistre64

good :)

- amistre64

wanna try another one?

- anonymous

thanks you for doing this for me.
and yes please

- anonymous

2x+8=16

- anonymous

you have to do the oppsite
\

- anonymous

Â¿:Ä±

- amistre64

youre welcome:
lets try something related, but different now.
we will get to that one soon enough

- anonymous

ok

- amistre64

5x = 15

- anonymous

sounds good

- anonymous

-8 both sides

- anonymous

2x+8=16

- anonymous

ummm 5x would be like, 5â€¢ 5?

- amistre64

it would be the same concept as 5*5 right.

- anonymous

so... would you be solving for x in that equation?

- anonymous

2x+8=16
-8 -8
2x=8
2x/2=8/2
x=4

- amistre64

yes.
if we add to get rid of a subtraction. And we Subtract to get rid of an addition;
what do youthink we might do to get rid og a multiplier?

- anonymous

oh xcrap.. divide?

- anonymous

i hpoe this helps

- amistre64

divide is correct:)

- anonymous

2x+8=16
-8 -8
2x=8
2x/2=8/2
x=4

- anonymous

that one

- anonymous

i suck at dividing :D thanks for being patiant

- anonymous

do you get my eample

- amistre64

we dont have to know alot about division for this really; we only have to know that any number divided by itself equals 1

- anonymous

ok

- anonymous

sarhouse

- amistre64

why is the number 1 important to us in multiplying?

- anonymous

2x+8=16
-8 -8
2x=8
2x/2=8/2
x=4

- anonymous

yes... so.... what would we divide? 5 Ã· 5? that would =1

- amistre64

correct

- anonymous

because... its like a place holder? i have no idea

- amistre64

what does 1 times a number =?
x * 1 = ?

- anonymous

5x=15
/5 /5
x=3

- anonymous

that would be x... just like 10 â€¢ 1= 10

- amistre64

you are correct :)

- anonymous

sarahouse i sloved it

- anonymous

so, the answer is.....

- anonymous

its sarahrose

- amistre64

sara1000: solving it is not the issue :)

- amistre64

5x = 15
you say we need to divide by 5 correct? do we do that to both sides?

- anonymous

and i'm kind of ignoring what you say sarah1000 nothing personal, but amistre64 is helping alot

- anonymous

yeah... so.... would we get rid of the x?

- amistre64

the x we want to keep, its gona tells us its secrets when we get it all alone :)

- anonymous

WOA haha XD so.. do we get rid of anything?

- anonymous

5x=15
/5 /5
x=3 its that easy first you do the oppsisite of mulipling 5x is divison then you divided 5 form both sides to get x by it self then you divded it and you get 3

- amistre64

we can remove that 5 from it by division:
5x/5 = x ok?
5x/5 = 15/5
x = 15/5 is our answer. You can reduce it some if you want, but a calculator will accept it as is ;)

- anonymous

15/3=3
becuase on the other side you dont have to divided it all you have to do it cross out the 5 beacuse its the same the you write x=3

- anonymous

what is the /?

- anonymous

oh a fraction?

- anonymous

divison

- anonymous

Â¿:Ä±

- amistre64

when typing out on a keyboard, we represent the fraction bar, which is also a division bar, by "/"

- anonymous

easy

- anonymous

ooooh

- anonymous

sara please im trying >:(

- anonymous

ok

- amistre64

suppose we have somethig like this to solve:
4x = 3

- anonymous

am try to make you understand

- anonymous

we would do he same thing as the first time? just, 4 times itself?

- anonymous

how diid you become a superhero

- amistre64

i taught my kids to walk by encouraging them to take baby steps :) not by pushing them down :)

- amistre64

we would divide by 4 that is correct :)

- anonymous

wow how old are you? lol not trying to be mean

- amistre64

older than my kids ;)

- anonymous

so.. (4â€¢4)=3?

- anonymous

haha

- amistre64

we need to "divide" by 4, not multiply. remember.
4x/4 = 3/4
x = 3/4 do you see it?

- anonymous

amistre64

- anonymous

yes Â¿:) i think

- amistre64

yes sara?

- anonymous

how do you make people be your fan

- anonymous

right next to their name it says "Become A Fan" click it

- amistre64

i dont make anyone be my fan..... they just like pushing little thumb buttons for all I know ;)

- anonymous

:)

- anonymous

its because you are so much better then searching the internet and only getting 1 minute free trials

- amistre64

Lets try another one.
r/3 = 2
since this is divisiion stuck to the "r" what do we need to do?

- anonymous

uhhhh :Ä±

- amistre64

we got 4 option: addition subtraction multiplication and division.
we already know when to add and subtract, and this doesnt look like those.
we know to divide when its stuck by multiplication.....so what should we do when its stuck by division? yor best guess

- anonymous

multiply... and we would have to do that on both sides?

- amistre64

that is correct!!

- anonymous

sweet~! i'm sorry ill brb

- anonymous

sara can you become my fan

- amistre64

r/3 = 2 when you get back, let me know what we need to multiply both sides by :)

- amistre64

sara1000, since you know how to do the algebra ill be your fan ;)

- anonymous

ok

- anonymous

M IN 8 GRADE

- amistre64

8th grade is a pretty big accomplishment :)

- anonymous

ok

- amistre64

it takes alot of work to get out of 5... or so my daughter would have me beleive :)

- anonymous

where is sararose

- amistre64

dunno, floated off into the ether to dance with the stars i spose...

- anonymous

im so sorry i had to take the neighbor a cassorole dish

- anonymous

srarose become my fasn plz

- amistre64

tuna cassarole? bean cassarole? mac and cheese cassarole?

- anonymous

i have no idea lol. what sucks is the werent even there.

- amistre64

:) so, where were we...
r/3 = 2 .... you say we multiply...by what?

- anonymous

by the 3?

- anonymous

sarose

- anonymous

plz be my fan

- amistre64

thats correct :) lets try it and see.....
3 * r/3 = 2 * 3
1*r = 6
r = 6 hey, it worked :)

- anonymous

i am your fan

- anonymous

ok

- anonymous

ok.. so 6/3=2?

- anonymous

makes sense

- amistre64

yes :)

- anonymous

sweet :)

- amistre64

all the problems your ever going to run itno, will use these 4 basic operations to solve.

- anonymous

ok...

- amistre64

with practice, youll be better at it than me :)

- anonymous

i doubt that! haaha are you like a teacher or something? and can u give me a harder one too?

- amistre64

I suppose I am an "or something" :)

- anonymous

haha

- anonymous

i just realized that this site is.. like twitter! lol

- amistre64

the hardest one youll come across in algebra classes will tend to be like this:
2x^2 -6x -4 = 0 and solve for x :)

- anonymous

Â¿:Ä± what is the ^?

- amistre64

its a symbol used for an exponent. if you havent seen exponents yet...yuo will :)

- amistre64

2^2 = 4
3^2 = 9
4^2 = 16

- amistre64

x^2 = x*x = x^2

- anonymous

i have in class.. but i'm like the dumbest one in math, and im in college level in reading! l

- anonymous

oh

- anonymous

Â¿:Ä±

- amistre64

lets keep these equations linear for you to practice with :)

- anonymous

isnt it like 3^3 would be 3 times 3 times 3?

- amistre64

thats right

- amistre64

there is another symbol used called a factorial:
4! means 1*2*3*4
6! means 1*2*3*4*5*6

- anonymous

is there a way to close the group chat thing? i can't friggin concintrate

- anonymous

oh thats weird 4! sounds like an excied 4 lol

- amistre64

nah, I suggested they move it somewhere else, but they seem to think its in a good spot

- anonymous

butbut how is that different? then just plain 4?

- amistre64

4 = 1+1+1+1 = 4
4^4 = 4 *4 *4 *4 = 256
4! = 1* 2 * 3 * 4 = 24

- anonymous

oh... so like 4+2! would still = 2?

- amistre64

lets see :)
4 + 2! = 4 + (1*2) = 4 + (2) = 6

- anonymous

but isn't 1 â€¢ 2 just going to = 2?

- anonymous

oops i didnt't mean = 2 i meant 6. lol

- amistre64

thats right. 1*2 = 2 :)

- anonymous

oh sweet. so, if you had 3 â€¢ 4! it would be (24â€¢3) right

- amistre64

exactly :)

- amistre64

its just a short way for writing large numbers...thats all.
512! is easier and quicker to write than whatever number that actually equals :)

- anonymous

oooooooooh :D

- anonymous

so... what would a difficult- like 7th grade prblem be

- amistre64

3x -7 = 8 ; now the trick becomes knowing what to do first in this one:)

- amistre64

i remember it this way; first get rid of the neighbors then get rid of the spouse :)

- anonymous

can you use the order of operations in that?

- anonymous

:O thats mean lol

- amistre64

the order of operations are worked backwards if you want to try them, but I never do ;)

- amistre64

that x wants to be all alone, and the neighbors are over adding to the commotion and eating all the snscks ; so subtract them away (or add) to get rid of them

- anonymous

so, pemdas would be sadmep lol if you say that out loud it sounds like sad mop

- anonymous

oooh

- amistre64

it can be :)
lets get rid of the neighbor in this problem, lets send it over to the other side of the street (the equal sign).
3x - 7 = 8 how do we get rid of our -7 neighbor?

- anonymous

we would have to add 7. so, it would be 3x (-7 + 7 = 0 ) = 8? or somthin like that?

- amistre64

good :)
3x -7+7 = 8+7
3x = 15 now we have a real close and personal 3 stuck to us, its wanting to cuddle, and talk about our feelings and all that bothersome stuff :) How do we send him away?
3x = 15

- anonymous

sense we are the only ones veiweing, if u could email me at sarah12_rose@yahoo.com and u could help me if one of us has to go? thanks :)

- amistre64

id rather keep it to in here, just for precations :)

- anonymous

what a creepy a 3 XD

- anonymous

IM NOT A FREAK lol i swear

- amistre64

lol :)

- anonymous

wouldnt we have to subtract again? what i dont necasarrily get is how thre isn't really an operation to do there?

- amistre64

i got about 5 minutes before I have to head to class.....
3x is stuck together by multiplication; its means 3 * x

- anonymous

ohhh

- anonymous

well, you can head off to lass. i dont want to keep you... haha

- anonymous

class*

- amistre64

but were almost done :)
3x = 15 ..... how to get rid of that pesky 3 ?

- anonymous

divide?

- amistre64

divide!! say it what confidence :)
yes.
3x/3 = 15/3
1x = 5
x = 5 yay!!

- anonymous

cool! thank you so much. you have helped a ton

- amistre64

youre welcome :)
to double check ourselves we should plug that x = 5 into our eqution and see if its true:
3x - 7 = 8
3(5) - 7 = 8
15 - 7 = 8
8 = 8 ....its good ;)

- amistre64

Ciao :)

- anonymous

the eight-grade dance committee sold 203 tickets last year and 249 tickets this year.what is thet best esimate of the percent increase of the number of tickets sold?

- anonymous

can you help me

- anonymous

see ya :)

- anonymous

- anonymous

im sorry i suck at percentiges too... lol

- amistre64

sara1000; I have to head to class now for a few hours, illl try later ;)

- anonymous

what class

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