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Math Help - Simplifying Expressions

  1. #1
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    Simplifying Expressions

    I have the following problem...simplify the following:

    7(2 - w) - (w - 3)

    This is what im getting:

    = 7(2 - w) - 1(w - 3)

    = 14 - 7w - w - 3

    = (7 - 1)w - (14 - 3)

    = 6w - 11

    Apparently the answer is actually; 17 - 2w

    However i don't see where i am going wrong! I think it might be something to do with a wider problem when it comes to simplifying expressions. Generally speaking i am fine when there are + operators in the equation, but the more - operators the more difficulty I have.

    Can someone point me in the right direction?

    Thanks.
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  2. #2
    MHF Contributor
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    Quote Originally Posted by lee1001 View Post
    I have the following problem...simplify the following:

    7(2 - w) - (w - 3)

    This is what im getting:

    = 7(2 - w) - 1(w - 3)

    = 14 - 7w - w - 3

    = (7 - 1)w - (14 - 3)

    = 6w - 11

    Apparently the answer is actually; 17 - 2w

    However i don't see where i am going wrong! I think it might be something to do with a wider problem when it comes to simplifying expressions. Generally speaking i am fine when there are + operators in the equation, but the more - operators the more difficulty I have.

    Can someone point me in the right direction?

    Thanks.
    You made several mistakes
    7(2 - w) - (w - 3)
    = 7(2 - w) - 1(w - 3)
    = 14 - 7w - w + 3
    = (-7 - 1)w + (14 + 3)
    = -8w + 17
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  3. #3
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    Are you sure? Looking through your answer it makes sense to me but according to my maths textbook the answer to the problem:

    7(2-w) - (w-3)

    is...

    17 - 2w

    My textbook must be wrong!!
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  4. #4
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    Quote Originally Posted by lee1001 View Post
    Are you sure? Looking through your answer it makes sense to me but according to my maths textbook the answer to the problem:

    7(2-w) - (w-3)

    is...

    17 - 2w

    My textbook must be wrong!!
    I got 17 -8w, the book is wrong.
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  5. #5
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    I checked the answer on a calculater found on QuickMath

    The answer it gave is indeed 17 -8w

    Thanks for your help everyone.
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  6. #6
    Senior Member euclid2's Avatar
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    Ottawa, Canada
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    Quote Originally Posted by lee1001 View Post
    I have the following problem...simplify the following:

    7(2 - w) - (w - 3)

    This is what im getting:

    = 7(2 - w) - 1(w - 3)

    = 14 - 7w - w - 3

    = (7 - 1)w - (14 - 3)

    = 6w - 11

    Apparently the answer is actually; 17 - 2w

    However i don't see where i am going wrong! I think it might be something to do with a wider problem when it comes to simplifying expressions. Generally speaking i am fine when there are + operators in the equation, but the more - operators the more difficulty I have.

    Can someone point me in the right direction?

    Thanks.
    7(2 - w) - (w - 3) = 7(2)+7(-w)+(-1)(w)+(-1)(-3)
    14-7w-w+3
    14-8w+3
    17-8w
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