Ricardo and Kim rowed their canoes from their base camp to a fishing camp. They rowed a distance of x miles upstream on one river, (3x2 - 9) miles downstream on another river, and (2x + 9) miles across a calm lake. Which expression is equivalent to the total distance, in miles, Ricardo and Kim rowed their canoes?
5x2
6x2
3x2 + 2x
3x2 + 3x
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OpenStudy (anonymous):
@noseboy908
OpenStudy (noseboy908):
ok, first make an equation: I would come up with "x + (3x^2 - 9) + (2x + 9)" can you solve from here?
OpenStudy (anonymous):
11x?
OpenStudy (noseboy908):
umm, no, add like terms up. for instance,start with adding (-9) to 9.
OpenStudy (anonymous):
o
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OpenStudy (noseboy908):
or, as you could also say, they cancel eachother out. now, do you have any more like terms that you could put together?
OpenStudy (anonymous):
3x and 2x
OpenStudy (noseboy908):
they are close, but because 3x is not just 3x, and is actually 3x^2, they are not like terms.
OpenStudy (noseboy908):
because the 2x isn't squared it's different
OpenStudy (anonymous):
o ok
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OpenStudy (noseboy908):
there is one more like term you can add to "2x", though
OpenStudy (anonymous):
2 and 2x
OpenStudy (anonymous):
is the answer C.
OpenStudy (noseboy908):
close, but no cigar.
OpenStudy (anonymous):
ok
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