Which equivalent expression will be generated by applying the Distributive Property and combining like terms in the expression 11 + 4

Question

Which equivalent expression will be generated by applying the Distributive Property and combining like terms in the expression 11 + 4(x + 2y + 4)?

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Gianna 2 weeks 2021-09-13T16:23:38+00:00 1 Answer 0

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    2021-09-13T16:25:24+00:00

    Answer:

    27+4x+8y

    or

    4x+8y+27 ( I can reorder this a few different ways. I don’t know what your choices are)

    Step-by-step explanation:

    11+4(x+2y+4)

    We can apply distributive property to the 4(x+2y+4), this will give us 4x+8y+16.

    Bring down the 11+ and we have 11+4x+8y+16.

    The only like terms we have is 11 and 16.  So reorder using commutative property and get 11+16+4x+8y.

    I’m going to simplify the 11+16 part which gives us 27.

    In the end we have 27+4x+8y.

    Let me line up so it is all nice and neat:

    11+4(x+2y+4)

    11+4x+8y+16

    11+16+4x+8y

    27+4x+8y

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