the sum of a number and -14 is -32 find the number
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OpenStudy (anonymous):
-18
OpenStudy (anonymous):
Your "sum of a number and -14" looks like
-14 + x
"is -32" looks like
= -32
Together, this is -14 + x = -32
Then you use algebra to solve for x.
OpenStudy (anonymous):
so the equal sign is in the middle?
OpenStudy (anonymous):
Yes. You always have something = something else
OpenStudy (anonymous):
ohhhh
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OpenStudy (anonymous):
youve helped me so much. ok so this should be pretty easy
OpenStudy (anonymous):
it is -18
OpenStudy (anonymous):
thats really easy
OpenStudy (anonymous):
six less than a number is -10 find the number
OpenStudy (anonymous):
Ideas?
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OpenStudy (anonymous):
x-6=(-10)
OpenStudy (anonymous):
does thaat look right?
OpenStudy (anonymous):
Great :)
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
is that -6 im confused
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OpenStudy (anonymous):
Yes. "6 less than a number" is the same as "a number subtract 6."
OpenStudy (anonymous):
+4?
OpenStudy (anonymous):
Let's test it. 4-6 = -2, so +4 won't work.
x - 6 = -10
We want x by itself, so we need to get rid of that -6. To get rid of a debt of 6, we add 6. Then, what we do to one side, we do to the other.
In summary, we add 6 to both sides.
x = -4
OpenStudy (anonymous):
-4 I mean
OpenStudy (anonymous):
thats why its good to always check ure answers
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OpenStudy (anonymous):
:)
OpenStudy (anonymous):
twice the sum of a number and -2 is 16 find the number
OpenStudy (anonymous):
Ideas?
OpenStudy (anonymous):
2x+(-2)=-16
OpenStudy (anonymous):
Very close. You're taking twice the sum. So you do the sum part, and then you double it.
2[x + (-2)] = 16
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OpenStudy (anonymous):
is that what the [ ] means?
OpenStudy (anonymous):
Oh, it's just another way to write parentheses.
2(x + (-2)) = 16
OpenStudy (anonymous):
so if I did not put parethsis I would have got it wrong?
OpenStudy (anonymous):
Yes, you need parentheses, because the -2 needs to be multiplied by 2 as well.