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College Algebra, What is this?
#1
How is this one done?

If 5 + m = n, what is the value of 2|m – n|?

a. −10

b. −5

c. 5

d. 10

e. It cannot be determined from the given information.
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#2
5 + m = n

2|m - n| =
2|m - (5 + m)| =
2|m - 5 - m| =
2| -5 | =
2 * 5 = 10

Answer (d) is correct.

-Gary-
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#3
gcalvin Wrote:5 + m = n

2|m - n| =
2|m - (5 + m)| =
2|m - 5 - m| =
2| -5 | =
2 * 5 = 10

Answer (d) is correct.

-Gary-

So in this case, the m cancels out because you combine the like terms which one is negative and one a positive. I'm assuming that the two lines outside the -5 are asking for the absolute value of the -5 which would be positive 5 and multiplied by 2?
I just want to make sure I got it.
Thanks Gary
[SIZE="1"][SIZE="3"][SIZE="2"]Excelsior College - DONE[/SIZE][/SIZE]
[SIZE="2"]AAS-[SIZE="1"]2009[/SIZE], BSLS-[SIZE="1"]2010[/SIZE] [/SIZE]

[COLOR="DarkRed"][B][SIZE="2"]Thomas Edison State College - DONE[/SIZE]
[SIZE="2"]BA in History[/SIZE]-[SIZE="1"]2011[/SIZE][/COLOR][/B]

[SIZE="2"]Texas A&M University Central Texas[/SIZE]
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CLEPs Passed
[SIZE="1"][SIZE="1"]Spanish, Freshman Comp, English Comp w/ Essay, Social Science & Hist, Info Sys & Comp App, Intro Sociology, Prin of Mngmt, American Gov , US History I, US History II, Western Civ I, Western Civ II[/SIZE][/SIZE]
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[SIZE="1"][SIZE="1"]Civil War & Reconstruction, Rise & Fall of Soviet Union, History of Vietnam War, Intro Modern Middle East, Western Europe Since 1945, Drug and Alcohol, Here's to Your Hlth, Intro To Comp, Prin of Sup, Technical Writing, Prin of Physical Science I[/SIZE][/SIZE]

Quote: There are no stupid questions, only stupid people. "Mr. Garrison"[/SIZE]
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#4
That's right. I don't much like "cancels out" as it seems vague and sloppy and ultimately not helpful. It's really just that m - m = 0. A lot of people use "cancels out" for something like m/m = 1 also, but I think it's better to think clearly and explicitly about both those cases. You're absolutely right about absolute value: | -5 | = 5.

-Gary-
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#5
I didnt look at it in depth but would imagine 10 because it says 5 is m which is n times that and you get 10 atleast in my warped math head:p

clep101 Wrote:How is this one done?

If 5 + m = n, what is the value of 2|m – n|?

a. −10

b. −5

c. 5

d. 10

e. It cannot be determined from the given information.
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