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Old 10-03-2013, 08:29 PM   #1
Landshark44
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Math Question....

My two sons, and the teacher all have different answer to this question....

Any help solving would be appreciated...

3(r+1)-[2(3-2r)-3(3-r)]=2(r+5-4)

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Old 10-03-2013, 08:32 PM   #2
DaddyTorgo
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I look at something like this and all that comes to mind is the old "work from the inside out" maxim.

Should be fairly straightforward with that, right?
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Old 10-03-2013, 08:34 PM   #3
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r = -2?
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Old 10-03-2013, 08:36 PM   #4
DaddyTorgo
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3(r+1)-[2(3-2r)-3(3-r)]=2(r+5-4)

right side is easy, it's 2r+2

left side is trickier, but you work from the inside out, so

3(3-r) is 9-3r

2(3-2r) is 6-4r

3r+3-6-4r-9-3r=2r+2

when you expand it all out, right? from there it should be easy.

-2r=-14

r=7?



Last edited by DaddyTorgo : 10-03-2013 at 08:39 PM.
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Old 10-03-2013, 08:41 PM   #5
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r = -2?

that's what i got too
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Old 10-03-2013, 08:42 PM   #6
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Ok, here's my work.

3r + 3 - [6 - 4r - 9 + 3r] = 2r + 2

3r + 3 - [ -3 - r ] = 2r + 2

3r + 3 + 3 + r = 2r + 2

4r + 6 = 2r + 2

2r = -4

r = -2
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Old 10-03-2013, 08:44 PM   #7
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gah - I messed up somewhere obviously. LOL. It's been a while.

mathway.com says r=-2
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Old 10-03-2013, 08:44 PM   #8
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I assume the point of the exercise is to keep track of the change in signs as expressions nest.
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Old 10-03-2013, 08:46 PM   #9
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The negative of my negative is my positive...
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Old 10-03-2013, 08:49 PM   #10
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Man, I don't miss that kind of math
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Old 10-03-2013, 08:51 PM   #11
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my 12 yr old got (-4)....
my 16 yr old got (-2)....

teacher says answer is (-27)

I don't have a clue, so I figure I'd ask you guys....
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Old 10-03-2013, 08:52 PM   #12
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mathway.com says the teacher is wrong - unless i typed it in wrong...
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Old 10-03-2013, 08:58 PM   #13
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I'm getting r = -2 as well. The trick is remembering the negative/negative rule when you are working out the bracket and then eliminating the bracket later.
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Old 10-03-2013, 09:07 PM   #14
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I get -2 as well.
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Old 10-03-2013, 09:15 PM   #15
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Originally Posted by Landshark44 View Post
my 12 yr old got (-4)....
my 16 yr old got (-2)....

teacher says answer is (-27)

I don't have a clue, so I figure I'd ask you guys....

I always have two questions in situations like this... What is the point of assigning this problem in the first place and even if you think there is a point why assign it when you can't find the correct answer? I think the 16 year old is correct and I will assume it is the 12 year olds teacher.
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Old 10-03-2013, 09:15 PM   #16
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Thanks, guys...
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Old 10-03-2013, 09:19 PM   #17
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I always have two questions in situations like this... What is the point of assigning this problem in the first place and even if you think there is a point why assign it when you can't find the correct answer? I think the 16 year old is correct and I will assume it is the 12 year olds teacher.

Find it interesting as well that none of us got what the teacher got.
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Old 10-03-2013, 09:23 PM   #18
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I like that DT used the word 'easy' twice and came up with an answer that no one else did.
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Old 10-03-2013, 09:27 PM   #19
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gah - I messed up somewhere obviously. LOL. It's been a while.

mathway.com says r=-2

You forgot to carry the minus to the rightmost term of the left side of the equation when you expanded it.
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Old 10-03-2013, 09:49 PM   #20
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I like that DT used the word 'easy' twice and came up with an answer that no one else did.

LOL - hey I never said math was my subject or I'd get it right.
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Old 10-03-2013, 09:49 PM   #21
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You forgot to carry the minus to the rightmost term of the left side of the equation when you expanded it.

Ohhhh yeah. Whoops.
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Old 10-03-2013, 10:46 PM   #22
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Someone needs a new math teacher.
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Old 10-03-2013, 10:59 PM   #24
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Putting -27 in that makes it:

-81 + 3 - [(6+108)-(9+81)]=9(-27 + 5 -4)
-78 - [114-90]=9(-26)
-78 - 24 = -234
-102 = -234

Does not compute...
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Old 10-03-2013, 11:12 PM   #25
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It is now a quest of mine to figure out how you can screw up the OOO to make this equal -27. I have not been successful so far.
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Old 10-03-2013, 11:14 PM   #26
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Originally Posted by EagleFan View Post
Putting -27 in that makes it:

-81 + 3 - [(6+108)-(9+81)]=9(-27 + 5 -4)
-78 - [114-90]=9(-26)
-78 - 24 = -234
-102 = -234

Does not compute...

Bingo, very easy to disprove these equations in reverse. Teacher should realize that she is wrong pretty quickly.
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Old 10-04-2013, 07:27 AM   #27
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Woolram Alpha gave me -2 in less than ten seconds.
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Old 10-04-2013, 07:46 AM   #28
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How on earth does the teacher get -27?

Probably an error in the teacher's book.
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Old 10-04-2013, 07:54 AM   #29
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Originally Posted by Landshark44 View Post
My two sons, and the teacher all have different answer to this question....

Any help solving would be appreciated...

3(r+1)-[2(3-2r)-3(3-r)]=2(r+5-4)

3(r+1)-[6-4r-9+3r]=2(r+1)
3(r+1)-[-r-3]=2r+2
3r+3+r+3=2r+2
4r+6=2r+2
2r=-4
r=-2
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Old 10-04-2013, 08:48 AM   #30
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It is now a quest of mine to figure out how you can screw up the OOO to make this equal -27. I have not been successful so far.

Ha. I'm trying the same thing. Even if you completely flip everything in the bracket by accident, I get r= 2/3. I've tried several combinations of errors and the answer with the highest absolute value I'm getting is -14. The teacher must have a bad answer in their teacher's book. As a teacher, I'm hoping it's that (which, sadly, happens a lot in my books) because the alternative is that the teacher really screwed that problem up!
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Old 10-04-2013, 09:22 AM   #31
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Probably an error in the teacher's book.

I looked up a Calc. problem in a solutions manual, and it literally gave a full solution to a completely different problem.
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Old 10-04-2013, 09:27 AM   #32
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To see if I could find the -27 online anywhere I googled it, and was heartened to see three different answers come up, none of which were right.

It's like the general stupidity of the world negates the internet when it comes to solving these things.
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Old 10-04-2013, 10:24 AM   #33
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Old 10-04-2013, 10:28 AM   #34
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Ha. I'm trying the same thing. Even if you completely flip everything in the bracket by accident, I get r= 2/3.

Ping: Quiksand
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Old 10-04-2013, 10:41 AM   #35
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Astounding.
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Old 10-04-2013, 09:47 PM   #36
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Bad pronouns. Yes, I know.
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Old 10-04-2013, 10:41 PM   #37
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Astounding.

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