Mathematics
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OpenStudy (kidrah69):
@perl
10 years ago
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OpenStudy (perl):
so we are studying algebra 1
10 years ago
OpenStudy (kidrah69):
yep :)
10 years ago
OpenStudy (perl):
what topics are going to be covered on the test
10 years ago
OpenStudy (kidrah69):
All of that... :/
10 years ago
OpenStudy (perl):
Alright I will start picking problems
page 7 , problem 34
Find the distance traveled using d = rt
10 years ago
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OpenStudy (kidrah69):
ok so the rate is 75 miles
d=75 x t
is that right so far?
10 years ago
OpenStudy (perl):
yep :)
10 years ago
OpenStudy (kidrah69):
hours would be time so 2
d=75 x 2 ?
10 years ago
OpenStudy (perl):
yes
10 years ago
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OpenStudy (kidrah69):
so 150 is my final answer ? :)
10 years ago
OpenStudy (perl):
right, and what are the units
10 years ago
OpenStudy (kidrah69):
miles
150miles
10 years ago
OpenStudy (perl):
perfect :)
10 years ago
OpenStudy (perl):
now lets do a little algebra.
Expand the following expression
$$ \Large (a+b)^2 $$
10 years ago
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OpenStudy (kidrah69):
(a+b)(a+b)
10 years ago
OpenStudy (perl):
now distribute
10 years ago
OpenStudy (kidrah69):
a^2+ab+ba+b^2
10 years ago
OpenStudy (kidrah69):
i think i did that wrong :/
10 years ago
OpenStudy (perl):
thats correct so far
10 years ago
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OpenStudy (kidrah69):
Yay! so would that be the final answer?
10 years ago
OpenStudy (perl):
we can simplify further
10 years ago
OpenStudy (perl):
what do you notice about `ab` and `ba`
10 years ago
OpenStudy (perl):
hint,
2*3 = 3*2
10 years ago
OpenStudy (kidrah69):
They are like terms but how would you add those ? :/
10 years ago
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OpenStudy (perl):
yes
10 years ago
OpenStudy (perl):
whoa lag city
10 years ago
OpenStudy (kidrah69):
xD perl its impossible to add those T_T
10 years ago
OpenStudy (perl):
a^2+ab+ba+b^2
= a^2+ab+ab+b^2 (because ba= ab)
10 years ago
OpenStudy (kidrah69):
so 2a+2b?
10 years ago
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OpenStudy (perl):
almost
10 years ago
OpenStudy (perl):
what is ab + ab ,
think of it like
blob + blob = how many blobs?
10 years ago
OpenStudy (kidrah69):
2 blobs!
10 years ago
OpenStudy (perl):
right :)
10 years ago
OpenStudy (perl):
a^2+ab+ba+b^2
= a^2+ab+ab+b^2
= a^2+2ab+b^2
10 years ago
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OpenStudy (kidrah69):
Got it :)
10 years ago
OpenStudy (perl):
'like terms' are basically 'like blobs'
10 years ago
OpenStudy (kidrah69):
xD thats a great way to remeber it! :)
10 years ago
OpenStudy (perl):
Expand and simplify the following product
$$\Large
(a-b)(a+b)
$$
10 years ago
OpenStudy (kidrah69):
ah! i hate these TT_TT ok...it would be
\[a^2+ab-ba-b\]
10 years ago
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OpenStudy (perl):
almost , you need a square on the last b*b
10 years ago
OpenStudy (kidrah69):
a^2+ab-ba-b^2
a^2-b^2 <---final answer
10 years ago
OpenStudy (perl):
there you go
10 years ago
OpenStudy (perl):
this is an order of operations question
10 years ago
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OpenStudy (kidrah69):
B would be correct
10 years ago
OpenStudy (perl):
correct :)
10 years ago
OpenStudy (kidrah69):
:)
10 years ago
OpenStudy (perl):
evaluate $$\Large (7h)^3$$ when h = 2
10 years ago
OpenStudy (kidrah69):
2744
10 years ago
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OpenStudy (perl):
great
10 years ago
OpenStudy (perl):
looks like you are good with unit 1
10 years ago
OpenStudy (kidrah69):
yay! 11 more units T_T
10 years ago
OpenStudy (perl):
actually theres some word problems
10 years ago
OpenStudy (perl):
i just noticed :o
10 years ago
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OpenStudy (kidrah69):
O_O
10 years ago
OpenStudy (kidrah69):
lets just skip those ;)
10 years ago
OpenStudy (perl):
ok
10 years ago
OpenStudy (perl):
sorry i didnt mean to scare you, word problems are fun, after you solve a few of them and build confidence
10 years ago
OpenStudy (kidrah69):
ok we can do those :) its better to be safe than sorry :P lets so word problems
10 years ago
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OpenStudy (perl):
the order is important,
10 years ago
OpenStudy (perl):
for number 2. the order is important
for number 3 the order doesnt matter
10 years ago
OpenStudy (kidrah69):
3) 8/n 4) 2x?
10 years ago
OpenStudy (perl):
pretty much correct, except the directions said to use x for both
10 years ago
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OpenStudy (perl):
but you have the right form
10 years ago
OpenStudy (kidrah69):
>_< my bad would it be wrong on a test?
10 years ago
OpenStudy (perl):
hmm, i don't they would take off too many points
10 years ago
OpenStudy (kidrah69):
ok :)
10 years ago
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OpenStudy (kidrah69):
\[.10\times~x=5.00\]
10 years ago
OpenStudy (perl):
how many pages is your test going to be on
10 years ago
OpenStudy (perl):
how many pages of the book
10 years ago
OpenStudy (kidrah69):
im not sure i think it includes a little bit of everything on the book
10 years ago
OpenStudy (kidrah69):
its 150 questions...
10 years ago
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OpenStudy (perl):
ok, looks good so far
10 years ago
OpenStudy (kidrah69):
so now i divide right?
10 years ago
OpenStudy (perl):
right
10 years ago
OpenStudy (kidrah69):
0.02
10 years ago
OpenStudy (kidrah69):
right? :/
10 years ago
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OpenStudy (perl):
try that again
10 years ago
OpenStudy (kidrah69):
50?
10 years ago
OpenStudy (perl):
yes :)
10 years ago
OpenStudy (perl):
do you see why
10 years ago
OpenStudy (kidrah69):
yes i divided the other way :/ i see why now :)
10 years ago
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OpenStudy (perl):
this will be last question from unit 1
10 years ago
OpenStudy (kidrah69):
O_O perl i forgot how to do that >_<
10 years ago
OpenStudy (perl):
ok first lets see how to read this.
when you see an equation
h = some expression in t ,
or
y = some expression in x ,
you have whats known as a function.
h depends on values you pick for t
y depends on values you pick for x
10 years ago
OpenStudy (perl):
|dw:1431903821015:dw|
10 years ago
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OpenStudy (perl):
the first column , the t column, that is whats known as the domain.
the h column is whats known as the range
10 years ago
OpenStudy (kidrah69):
so bascially im subbing in the given numbers in place of t?
10 years ago
OpenStudy (perl):
right :)
10 years ago