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NationalTutoringObservatory
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MathEd-PII

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8
volunteer
amazing :)
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student
160
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volunteer
almost, that is the amount that the was reduced by
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volunteer
were looking forthe new price of the tv
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student
640
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volunteer
yes great job!!!
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volunteer
that is correct!!
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student
:)
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student
23
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volunteer
do u want to go first or me?
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student
i think 528
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student
i can try
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volunteer
yes that is correct!!!
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volunteer
great job Sarah!!
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[ { "pii_type": "PERSON", "surrogate": "Sarah", "start": 10, "end": 15 } ]
volunteer
you're doing so good!!
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student
thanks:)
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student
question 29
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volunteer
question 29 has to do with factoring i think
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volunteer
let me solve it real quick and then i'll get back to u on the best way to do it
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student
ok
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student
thanks
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volunteer
ok so yes i solved this one with factoring
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volunteer
first i moved every term to the left side so the equation would be equal to 0
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volunteer
is that making sense so far?
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student
kind of
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student
what is factoring?
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volunteer
factoring is when you take an equation and split it up so you can easily see what the solution of the equation is
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student
oh ok
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student
so if the answer is 0 i can just type in DNE?
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volunteer
not necessarily, we just made it equal to zero so we can factor
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volunteer
having the equation equal to 0 makes it easier to factor
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student
ok
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volunteer
can you see the equation i wrote on the whiteboard?
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student
yes
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volunteer
great so i'm goingto show you how to factor it
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student
ok
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student
:)
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volunteer
so do u see how i labeled each term with an a, b, or c?
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student
yes
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volunteer
great!
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volunteer
then we will draw a big X
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volunteer
at the top of the x we will multiply the coefficient of a and c together
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volunteer
so what is the coefficient of x^2 in the equation
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student
ummmm
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volunteer
the coefficient is the number in front of the variable
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volunteer
and since there is no number in front of x^2
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volunteer
that means the coefficient is 1
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volunteer
is that making sense?
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student
you mean the 1 written under c?
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volunteer
not exactly, see the x^2 written under the a
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student
yes i see
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volunteer
so the coefficient for a would be the number in front of the x^2
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volunteer
do we get what a coefficient is?
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student
yes
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student
so basically there is no number
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student
so we just made it to 1?
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volunteer
yes because the coeffifient is the number that is being multiplied to the variable, like how for 2x the coefficient is 2 because we are multiplying 2 and x
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volunteer
the coefficient for x^2 is 1 becuase we are multiplying x^2 and 1 to get just x^2
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volunteer
are we understanding?
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student
ok
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student
yes
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volunteer
great!
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volunteer
so we multiplythe coeffifient of X^2 by whatever c is
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volunteer
so if the coefficient of x^2 is 1 and c is one
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volunteer
then we do 1*1 which just gives us 1
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volunteer
so we write 1 at the top of the big X
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student
ok
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student
i get it
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volunteer
and then at the bottom of the big X we write the coefficient of the number under b
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volunteer
which would be 2
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volunteer
does it make sense how we got 2?
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student
yes
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volunteer
amazing!
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volunteer
now for factoring
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volunteer
we need to see what two numbers multiply to the number at the top of the big X and add up to the number at the bottom of the big X
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volunteer
so for this question it would be 1
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volunteer
because 1*1=1, which is the number at the top of the big X, and 1+1=2, which is the number at the bottom of the big X
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student
ok
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volunteer
is it making sense so far?
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student
yes
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volunteer
ok great!
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volunteer
and then we take each of the 1s from the big X and bring it back to the equation
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volunteer
since the 1s are positive we add them to the x
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student
ok
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volunteer
because if you look at the new equation if we expand it it will go back to the old equation
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volunteer
so now all that is left is to solve the equation
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volunteer
so for the example equation, the solution would be -1
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volunteer
does it make sense how we got there?
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student
kind of yes
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volunteer
ok great so now i'll demonstrate it with #29
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student
ok
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volunteer
do we get how i got there?
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student
yeah but its kind of confusing
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student
but you got 0 as your answer
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volunteer
my fault then i'll do it again but show u each step individually
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student
no its not your fault
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student
its my fault
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student
but
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student
can we please do a different Q
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volunteer
yes of course
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