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OpenStudy (anonymous):
oh
OpenStudy (anonymous):
that is why i asked where the \(x\) went
OpenStudy (anonymous):
now how about \(4\times (-5)\)?
OpenStudy (anonymous):
19
OpenStudy (anonymous):
no, not 19
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OpenStudy (anonymous):
i got 19
OpenStudy (anonymous):
how did you get it? \[4\times(-5)\] contains one minus sign, for we know the answer is negative, not positive
OpenStudy (anonymous):
what? but how you said t has a minus sighn how is it negitiv if it has a minus sighn?
OpenStudy (anonymous):
i am not sure how to answer that
is \(-50\) positive or negative?
OpenStudy (anonymous):
positiv
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OpenStudy (anonymous):
you said its a minus sighn so its minus 50
OpenStudy (anonymous):
wich is 0
OpenStudy (anonymous):
im sory if i sound stupid :(
OpenStudy (anonymous):
minus fifty is not zero
it if is minus fifty degrees, it is much colder than 0 degrees
OpenStudy (anonymous):
if a number has a minus sign in front of it, it is negative
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OpenStudy (anonymous):
and when you multiply two numbers together, if one of them is negative (has a minus sign in front) then the answer is negative as well (has a minus sign in front)
OpenStudy (anonymous):
so for example \[2\times (-4)=-8\] since \(2\times 4=8\) and there is one minus sign there
OpenStudy (anonymous):
so now lets try again
we have to compute \(4\times (-5)\)
OpenStudy (anonymous):
-1?
OpenStudy (anonymous):
hmm i think what you mean is that \(4-5=-1\) right?
what is \(4\times 5\)? forget about the minus sign for a second
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OpenStudy (anonymous):
ok
OpenStudy (anonymous):
so \[4\times 5=?\]
OpenStudy (anonymous):
20?
OpenStudy (anonymous):
yay
OpenStudy (anonymous):
that makes \[4\times (-5)=-20\]
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OpenStudy (anonymous):
now we have distributed the 4 in \(4(3x-5)\) by multiplying each term by 4 to get \[4(3x-5)=12x-20\]
OpenStudy (anonymous):
we actually have \[4(3x-5)+6\] so now that is \[12x-20+6\]
what is \(-20+6\)?
OpenStudy (anonymous):
wait 12 - 20 is 12 and 20+6 is 26
OpenStudy (anonymous):
there is no 12 there, that is, there is not term that is just 12
there is a \(12x\) which does not combine with the two numbers
the two numbers are \(-20\) and \(+6\)
OpenStudy (anonymous):
but you said 12 - 20
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OpenStudy (anonymous):
so the question is now, what is \(-20+6\) or if you prefer \(6-20\)
OpenStudy (anonymous):
where do you see \(12-20\)?
OpenStudy (anonymous):
OpenStudy (anonymous):
ahh yes it does say \[\huge 12\color{red}x-20+6\]
OpenStudy (anonymous):
the \(\color{red}x\) is a variable, it is not the number 12
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OpenStudy (anonymous):
\[\huge 12\color{red}x\overbrace{-20+6}^{\text{combine these two numbers}}\]
OpenStudy (anonymous):
26?
OpenStudy (anonymous):
and if x is a varibalbe then why did you put hte 12 there?
OpenStudy (anonymous):
no \(20+6=26\) but you have \(-20+6\)
OpenStudy (anonymous):
the 12 was because \(4\times 3x=12x\)
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OpenStudy (anonymous):
oh
OpenStudy (anonymous):
so now we are back to "what is \(-20+6\)?
OpenStudy (anonymous):
btw the number in front of the variable is called the "coefficient"
\(12x\) means \(12\times x\) you just don't write the \(\times \) symbol
for example of \(x\) was $100 then \(12x\) would be $1200
OpenStudy (anonymous):
oh
OpenStudy (anonymous):
ok so finally what is minus twenty plus six?
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OpenStudy (anonymous):
-26
OpenStudy (anonymous):
nope
if you spent twenty dollars, and then got a 6 dollar rebate, how much would you really have spent?
OpenStudy (anonymous):
i dont know what rebate means
OpenStudy (anonymous):
got $6 back
OpenStudy (anonymous):
oh
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OpenStudy (anonymous):
26
OpenStudy (anonymous):
do you know the rules for adding "signed numbers"?
OpenStudy (anonymous):
like \(-10+3\) or \(-5-4\) or \(12-18\)?
OpenStudy (anonymous):
no
OpenStudy (anonymous):
then you cannot do a problem like this
you need to be able do add and subtract before algebra, also know the distributive property, and what a variable is
this kind of question should come after you learn those things
i can tell you briefly what the rules are, but it takes quite a bit of practice to understand them and know how to use them quickly
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OpenStudy (anonymous):
distribute and combine like terms :)
OpenStudy (anonymous):
the problem here is that when we finally distribute and combine like terms, you are going to have to do it four more times, for each of your possible answers
then see which ones give you the same thing
OpenStudy (anonymous):
@Alknowsall yes, we have been doing that for a while now, and have not gotten their yet
OpenStudy (anonymous):
@MariahDimond i am not being critical, i am only saying that it is impossible to do algebra without knowing the basics of arithmetic
if that is still not clear, work on that first
OpenStudy (anonymous):
true hahaha @satellite73
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pooja195 (pooja195):
|dw:1450584485393:dw|
OpenStudy (anonymous):
yeah but we are stuck at the addition step here \(-20+6\)
pooja195 (pooja195):
lol oops
you can flip it and do 6-20= ? if that helps
pooja195 (pooja195):
@MariahDimond 6-20=? :P
OpenStudy (anonymous):
what do you mean
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pooja195 (pooja195):
6 minus 20 =?
pooja195 (pooja195):
I took what @satellite73 wrote -20+6 and flipped it to make 6-20 both have the same answer
OpenStudy (anonymous):
-26? minus is negitiv isent it?
OpenStudy (anonymous):
wait does this mean im stupid
pooja195 (pooja195):
Ok let's try using a number line
|dw:1450584789386:dw|
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pooja195 (pooja195):
Basically you count up from -20 so count 6 spaces up what number are you at?