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Math Help - Trying to help son with simplifying expressions

  1. #1
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    Trying to help son with simplifying expressions

    Please help it's been so long since i did this i have no idea how to work it out!!! My son needs to simplify the following:

    4(x+5)+3(x+3) =

    3(w+3)+4(w-2) =

    6(d+3)+6(d-5) =

    if anyone can explain to me how to work these out i would be very grateful.

    My guess at 1. was 7(x+8) but that is a wild guess and nothing else!!

    Thanks
    Carrieh
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  2. #2
    Super Member

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    Lexington, MA (USA)
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    Hello, CarrieH!

    Simplify: .  4(x+5)+3(x+3)

    We must "distribute" (multiply through by) the numbers in front of the parentheses.

    \text{For example,}\;\begin{array}{ccccc}4(x+5)\text{ means:} & (4)(x) + (4)(5) \;=\;4x + 20 \\<br />
3(x+3)\text{ means:} & (3)(x) + (3)(3) \:=\:3x + 9 <br />
\end{array}


    Then: . \underbrace{4(x+5)} + \underbrace{3(x+3)}
    . . . . =\;\overbrace{4x + 20}\; +\; \overbrace{3x + 9} . . . now combine "like" terms

    . . . . = \;\underbrace{4x + 3x} + \underbrace{20 + 9}
    . . . . =\quad\; 7x\quad +\quad 29



    Follow the same procedure for the other problems.
    (I hope all this sounds somewhat familiar.)

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  3. #3
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    thank you soooo much!! That explains it beautifully we are now getting stuck in to the rest of the questions.
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