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Mathematics 18 Online
OpenStudy (anonymous):

Someone please help me help my sister. Much will be appreciated. Thank you in advance. Medal will be included.

OpenStudy (anonymous):

Question number 1. Write an algebraic expression for the phrase the quotient of n and 6.

jimthompson5910 (jim_thompson5910):

hint: quotient is the result of a division problem example: the quotient of 20 and 2 is 10 (since 20 divided by 2 is 10)

OpenStudy (anonymous):

So would it be written like this: n divided by 6.

jimthompson5910 (jim_thompson5910):

yep, or you can write it as n/6 or \[\Large \frac{n}{6}\]

jimthompson5910 (jim_thompson5910):

it will depend on the context really

OpenStudy (anonymous):

Okay, will you be willing to help me help my sister some more?

jimthompson5910 (jim_thompson5910):

since they want an algebraic expression, i'd go with the symbolic form instead of the verbal form

jimthompson5910 (jim_thompson5910):

is she not able to log in?

OpenStudy (anonymous):

She is but I guess she doing something, would you like her to log in?

OpenStudy (anonymous):

Hold on, I'll tell her to log in, so she can get some help.

OpenStudy (anonymous):

@Ahlpa_Omega32

OpenStudy (anonymous):

umm..okay..will you help me solve these problems?

jimthompson5910 (jim_thompson5910):

well it's best to help directly

jimthompson5910 (jim_thompson5910):

did the last one make sense?

OpenStudy (anonymous):

yeah, it made sense thanks

jimthompson5910 (jim_thompson5910):

when I click the link, I get "Internal Server Error"

OpenStudy (anonymous):

lemme try again

jimthompson5910 (jim_thompson5910):

post a screenshot

OpenStudy (anonymous):

mkay give me a sec

OpenStudy (anonymous):

OpenStudy (anonymous):

sorry about the other windows.

jimthompson5910 (jim_thompson5910):

that's ok

jimthompson5910 (jim_thompson5910):

so which ones do you need help on?

jimthompson5910 (jim_thompson5910):

I see that we just did #1

OpenStudy (anonymous):

yeah

OpenStudy (anonymous):

i need help on 3,7,21 and 23.

jimthompson5910 (jim_thompson5910):

ok let's start with #3

jimthompson5910 (jim_thompson5910):

how far did you get with this?

OpenStudy (anonymous):

i haven't started it yet, I was jumping around on the problems, i was doing the easier ones first.

jimthompson5910 (jim_thompson5910):

what does pq mean? What does it mean when two variables are close together like that?

OpenStudy (anonymous):

well, don't we have to solve for both of them..?

jimthompson5910 (jim_thompson5910):

don't worry about solving right now, all I care about at the moment is translating what pq means

jimthompson5910 (jim_thompson5910):

does it mean p+q ? p - q ? or something else?

OpenStudy (anonymous):

p - q, right?

jimthompson5910 (jim_thompson5910):

no if we wanted to say p - q, then we would have just wrote that (instead of pq)

jimthompson5910 (jim_thompson5910):

pq actually means p*q which is read out loud as "p times q"

jimthompson5910 (jim_thompson5910):

the multiplication symbol is often written as a small symbol, which kind of explains why it disappears

OpenStudy (anonymous):

that makes sense

jimthompson5910 (jim_thompson5910):

So the expression is really -(p*q)^2 divided by (-8)

jimthompson5910 (jim_thompson5910):

you can use a slash / to mean division, so you could also write it as -(p*q)^2 / (-8)

OpenStudy (anonymous):

okay

jimthompson5910 (jim_thompson5910):

so they want you to evaluate the expression -(p*q)^2 / (-8) for p = 2, q = 4

OpenStudy (anonymous):

so its written like this: -(2*4)^2 ÷ (-8) right?

jimthompson5910 (jim_thompson5910):

That means you just replace EVERY copy of p with 2, and EVERY copy of q with 4, then you use the order of operations to evaluate

jimthompson5910 (jim_thompson5910):

good

jimthompson5910 (jim_thompson5910):

from there, use PEMDAS

OpenStudy (anonymous):

still there both have parenthesis, we do go left to right..?

OpenStudy (anonymous):

go*

jimthompson5910 (jim_thompson5910):

do the stuff in the parenthesis first, then do exponents

jimthompson5910 (jim_thompson5910):

when it comes to division, you go from left to right

OpenStudy (anonymous):

so 6^2 ÷ (-8)

jimthompson5910 (jim_thompson5910):

2*4 is not 6

jimthompson5910 (jim_thompson5910):

and you lost a negative sign out front

OpenStudy (anonymous):

i see it now, my mistake.

jimthompson5910 (jim_thompson5910):

so you should have -8^2 ÷ (-8)

OpenStudy (anonymous):

okay, i wasn't thinking, so we multiply 8 or do we do the other parenthesis?

jimthompson5910 (jim_thompson5910):

well the other parenthesis simply has -8 in it, so there's no operation to do inside that parenthesis

jimthompson5910 (jim_thompson5910):

that parenthesis is just there to make sure you divide by all of -8 and not just the negative

OpenStudy (anonymous):

so we now multiply the 8^2

jimthompson5910 (jim_thompson5910):

what does 8^2 mean?

OpenStudy (anonymous):

we multiply 8 by 2

jimthompson5910 (jim_thompson5910):

no, if we wanted to multiply we would say 8*2

jimthompson5910 (jim_thompson5910):

8^2 means 8 squared

jimthompson5910 (jim_thompson5910):

8*2 = 16 8^2 = ???

OpenStudy (anonymous):

hmm, my teacher has always said when we see problems like that we multiply..

jimthompson5910 (jim_thompson5910):

well 8^2 means 8*8 since squaring means you multiply a number by itself

jimthompson5910 (jim_thompson5910):

but I meant 8^2 does NOT mean 8 times 2

OpenStudy (anonymous):

okay got it

jimthompson5910 (jim_thompson5910):

so what is 8^2 equal to?

OpenStudy (anonymous):

64?

jimthompson5910 (jim_thompson5910):

good

jimthompson5910 (jim_thompson5910):

-8^2 ÷ (-8) turns into -64 ÷ (-8)

jimthompson5910 (jim_thompson5910):

the last step is to divide

OpenStudy (anonymous):

8?

jimthompson5910 (jim_thompson5910):

correct

jimthompson5910 (jim_thompson5910):

that's your final answer

OpenStudy (anonymous):

hmm, now that i look at it, it wasn't so hard, maybe because the first time i wasn't willing to learn but now it easy

jimthompson5910 (jim_thompson5910):

yeah it's not too bad

OpenStudy (anonymous):

true

OpenStudy (anonymous):

thanks

jimthompson5910 (jim_thompson5910):

you're welcome

jimthompson5910 (jim_thompson5910):

did you still need help on 7,21,23?

OpenStudy (anonymous):

just 21, i think i got the hang of the other two.

jimthompson5910 (jim_thompson5910):

ok great, 21 has us looking for the error someone has committed

jimthompson5910 (jim_thompson5910):

the error has to do with following the order of operations (PEMDAS) incorrectly

jimthompson5910 (jim_thompson5910):

line 1 is correct since it's the starting line, so ignore that line is line 2 correct?

OpenStudy (anonymous):

everything looks right

jimthompson5910 (jim_thompson5910):

and line 2 is correct, so you are correct

jimthompson5910 (jim_thompson5910):

how about line 3?

OpenStudy (anonymous):

everything also seems alright

jimthompson5910 (jim_thompson5910):

line 3 is incorrect

jimthompson5910 (jim_thompson5910):

first tell me what is going on in line 3 (ie what operation they are doing)

OpenStudy (anonymous):

+?

jimthompson5910 (jim_thompson5910):

they are adding, yes specifically -15 to -9 to get -24

jimthompson5910 (jim_thompson5910):

but look at PEMDAS, does addition come before division?

OpenStudy (anonymous):

no it comes after division

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