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Math Help - Final Exam Review - Help

  1. #1
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    Final Exam Review - Help

    Below are the questions i'm having trouble with on my review. PLEASE HELP!! I'm pulling my hair out.

    1. 1/8 (16y+8) - 17 = -1/4 (8y-16)

    2. 2[9-3(-2x-4)] = 12x + 42

    I'm sure i will have more as the review has 60 questions.. but if someone could get me over these two it would be much appreciated.

    Thanks,

    DEMPC
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by dempc View Post
    Below are the questions i'm having trouble with on my review. PLEASE HELP!! I'm pulling my hair out.

    1. 1/8 (16y+8) - 17 = -1/4 (8y-16)

    2. 2[9-3(-2x-4)] = 12x + 42

    I'm sure i will have more as the review has 60 questions.. but if someone could get me over these two it would be much appreciated.

    Thanks,

    DEMPC
    For both of these, I take it we need to solved for the variable?

    In (1), note that when you apply the distributive law to both sides, we have \tfrac{1}{8}\left(16y\right)+\tfrac{1}{8}\left(8\r  ight)-17=-\tfrac{1}{4}\left(8y\right)-\tfrac{1}{4}\left(-16\right)\implies 2y+1-17=-2y+4 \implies 2y-16=-2y+4

    Can you continue from here and solve for y?

    In (2), apply distributive law to get 2\left(9\right)+2\left(-3\left(-2x-4\right)\right)=12x+42\implies 18-6\left(-2x-4\right)=12x+42

    Now apply distributive law again to have 18-6\left(-2x\right)-6\left(-4\right)=12x+42\implies 18+12x+24=12x+42\implies 12x+42=12x+42. This means that x can take on infinitely many values.

    Does this make sense?
    Last edited by Chris L T521; May 10th 2009 at 07:59 PM.
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  3. #3
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    i can't see the latex on the first question. it says Latex too big 600x200
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  4. #4
    Master Of Puppets
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    \tfrac{1}{8}(16y+8)-17=-\tfrac{1}{4}(8y-16)

    Expand

    \tfrac{1}{8}\left(16y\right)+\tfrac{1}{8}\left(8\r  ight)-17=-\tfrac{1}{4}\left(8y\right)-\tfrac{1}{4}\left(-16\right)

    2y+1-17=-2y+4

    2y-16=-2y+4

    Group like terms

    4y=20

    y=5
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  5. #5
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    thank you to both of you guys!!... still pulling my hair out over the review.. but this helps so much!!

    Really appreciate it!

    DEMPC
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  6. #6
    Flow Master
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    Quote Originally Posted by dempc View Post
    thank you to both of you guys!!... still pulling my hair out over the review.. [snip]
    All for the good - a little bit of pain will keep you awake.
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