Datasets:
NationalTutoringObservatory
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MathEd-PII

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8
volunteer
by solving.
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volunteer
So the 9 + 5 would give you the 14.
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volunteer
Did you get that last part
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volunteer
So it will be -2AB when you're squaring XA minus B.
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volunteer
For A + B, it'll be +2AB.
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volunteer
Any other questions?
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student
the x-3^2 would be 3x3=9?
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volunteer
Yes
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student
so then it will be 9 and then the 5
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student
but do we add the 5 or subtract the 5
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volunteer
correct.
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volunteer
So the answer is option C.
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student
wait no i was asking a question
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volunteer
The answer to your question is, uh, 9 and then the 5 gives you 14.
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volunteer
We add the 5 only because that's one of the options and that will give you the 14.
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volunteer
He.
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volunteer
Are we clear
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volunteer
Did I answer your question
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student
but how do we know if we subtract or add the 5
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volunteer
If you subtract 5
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volunteer
then 9 minus 5.
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volunteer
would give you 4
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volunteer
But if you look at the question
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volunteer
it is x squared minus 6 x + 14.
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volunteer
So the plus 5 is coming from option C.
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volunteer
(x-3) ^2 = (x^2 - 6x + 9)
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volunteer
(x-3) ^2 + 5 = (x^2 - 6x + 9) + 5
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student
ohh ok
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student
because we alread subtract the x and the number
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student
and then we just add the 5
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volunteer
yes
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volunteer
good work.
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student
ok so how do we know if its C or D
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volunteer
because the Q has -6X
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student
ohh we subtract the x and 3
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volunteer
and not +6X
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student
ohh so it would be
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student
ohh ok
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volunteer
Yup.
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volunteer
Excellent job
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volunteer
I'm glad to see that you're trying to understand the concepts.
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volunteer
and you have it all
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student
ok can we do another one cause you explained it in a way for me to understand
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volunteer
OK, let me delete the previous.
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volunteer
answer
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volunteer
Oh, you did it. Thank you.
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volunteer
So you see that
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volunteer
the, in all the options,
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volunteer
the R is in the denominator.
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volunteer
So our goal is to solve the above equation in such a way that our goes into the
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volunteer
denominator
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volunteer
So let me show you how.
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volunteer
So when I solve the equation.
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volunteer
on the left-hand side
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volunteer
you get QX + 5 X.
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volunteer
On the right-hand side
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volunteer
You have 3Q
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volunteer
Any questions so far
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student
why we do 5x and we didnt do 5q?
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volunteer
OK, good. So you caught the error
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volunteer
I just wanted to make sure that you understand it. So it is 5Q.
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volunteer
So now let's solve it further.
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student
oh so it is qx + 5q and not 5x
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volunteer
We have to isolate the eggs.
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volunteer
Isolate the X
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volunteer
Do you see the screen right now
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volunteer
We, we took X out.
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volunteer
and put Q+R in the brackets.
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student
why we take x out?
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volunteer
because that's the question. The question is saying,
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volunteer
which equation represents the given equation when solved for X, so we are trying to find out.
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volunteer
what is X equal to
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volunteer
Do you understand that?
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student
ok its asking when solved for x
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volunteer
correct.
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volunteer
If you wanna use the mic and speaker, it may be easier to kind of.
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volunteer
walk you through that
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student
so we have to figure out how to solve for x
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volunteer
Yeah.
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student
idk how we solve for x because why are we breaking apart the equation?
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volunteer
You're not breaking apart the equation. I was just trying to explain it to you so we solve each side.
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volunteer
of the equation, uh, but you can
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volunteer
just um
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volunteer
keep it as left-hand side and right hand side.
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volunteer
because those two are the parts of the equation.
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student
ok so we have q+r in paranthesis
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volunteer
yes as x is common to both
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student
why we do x(q+r) two times
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volunteer
what do you mean?
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student
like we did these two both times
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volunteer
There two different lines
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volunteer
the 2nd line has 3q-5q = -2q
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volunteer
nothing is changes on the LHS
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student
yea how we get -2q?
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volunteer
i explained it above
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student
yea so you did 5-3
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student
and then it got -2
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volunteer
dont forget the q
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student
ok so it will be x= -2q/ ( q + r)
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student
i think i will just be confused like doing the LHS and RHS
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