Datasets:
NationalTutoringObservatory
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MathEd-PII

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volunteer
1 y=2x+3 3x+y=9
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volunteer
2 2x-3y=12 4x+3y=6
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volunteer
you can work on these
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student
6/5
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student
27/5
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student
x,y
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volunteer
Yes
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student
and 3,,-2
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volunteer
yes, correct
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student
first one was a bit trickier
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volunteer
now I will give you a function
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student
also theres a featur with the three dots
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student
at the tools at the bottom
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student
if you click the three dots you can delete the whole board or undoo everything
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volunteer
Yeah, I saw it. You are my first math student sorry
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student
its fine
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student
this is algebra?
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student
looks funky for algebra one
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volunteer
Yes
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volunteer
these are functions.
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student
ok
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volunteer
you can try them
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student
whats p and f
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volunteer
Where do you see p?
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volunteer
f is function
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volunteer
you basically have to convert the x with 0 and 2
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volunteer
so for the first one find
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volunteer
Thats an f
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student
oh
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student
why are there two functions
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volunteer
sorry my writing is bad
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volunteer
you have to find the function when x is 0 and when x is 2
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student
x is 0 and 2 at the same time
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student
?
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volunteer
So it is for the first one: 3*0^2 - 2*0 +1
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volunteer
you have two points there
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volunteer
one where x is 0
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volunteer
and one when x is 2
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student
ok
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volunteer
do the math and the first should =1
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volunteer
find the second
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student
ahh ok ok
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student
i understand
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student
it now
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volunteer
thats good
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student
9
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student
ill be right back
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volunteer
Yes
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volunteer
okay sure
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student
i am back
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volunteer
ok, so now i prepared a problem
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student
hmm did you connect?
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volunteer
The population of a bacteria culture doubles every hour. If there 100 bacterias in the start, how many will there be after 5 hours
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student
hmmm simple
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student
3200
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volunteer
Yes
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volunteer
Is the point (3,-4) a solution to the equation y=-2x+2
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volunteer
this is the last one i prepared
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student
yes
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volunteer
ok, perfect
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volunteer
so, do you have any questions now?
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student
nope
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student
do you have blooket
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student
account
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volunteer
no, never heard of it
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student
oh ok
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volunteer
if you ever need help, just in the feedback favorite me, and you can request another session with me
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student
you can favorite
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student
and request?
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volunteer
i can give additional material here and you will be emailed, but its better if you request it
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student
ok
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student
bye thanks for the help
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volunteer
bye, anytime!
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volunteer
Hi! How are you?
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student
Good and you?
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volunteer
Greaet
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volunteer
What can I do for you today :)
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volunteer
Is this for AP Precalc
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student
I want to understand how to solve these questions
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student
O
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student
Yes
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volunteer
For the first question, I think we can simplify it first
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volunteer
First we can move all the x to one side, ie |y+2| = 2x + |y-2|
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volunteer
Then the y terms
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volunteer
We can then get |y+2| - |y-2| = 2x, which can be further simplified to 0.5 (|y+2| - |y-2|) = x
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student
You divided by two why aren’t they under the y values
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volunteer
I multiplied by 0.5
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student
Oh
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student
I understand
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volunteer
I don't have a stylus on me so I'll be typing a bit
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student
Okay
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volunteer
With the equation we get we can see that if we plug in y = -4 and values around it, we can visualize what it can look like
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volunteer
Lemme get a desmos snipit real quick
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student
Ok
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volunteer
Back to the equation, we can see that with the two absolute values of |y+2| - |y-2|, if y is negative, x will also be negative
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volunteer
for example if y = -1. we will end up with |1| - |-3| = 1 - 3 = -4
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volunteer
So for one, we know that near y = -4, the implicit equation will be negative
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student
Oh okay makes sense
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volunteer
next, we can see that at y = -2 and 2, the equation suddenly jumps to an infinitely steep slope
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volunteer
but if we analyze the equation
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