Math

Which expressions are equivalent to -2.5(1-2n)-1.5n? Select ALLthat apply.
A:-2.5-3.5n
B:-2.5+3.5n
C:-2.5-6.5n
D:-2.5-n(5-1.5)
E:-2.5+n(5-1.5)
My answers are: B and E

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  1. Your answers is correct becouse:

    - 2.5 ( 1 - 2 n ) - 1.5 n =

    - 2.5 ∙ 1 - 2.5 ∙ ( - 2 n ) - 1.5 n =

    - 2.5 + 5 ∙ n - 1.5 n =

    - 2 .5 + 3.5 n =

    3.5 n - 2.5

    Answer B:

    - 2.5 + 3.5 n = 3.5 n - 2.5

    Answer E:

    - 2.5 + n ( 5 - 1.5 ) =

    - 2.5 + n ∙ 3.5 =

    - 2.5 + 3.5 n =

    3.5 n - 2.5

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  2. Do you think there are any more answers?

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  3. There are just two correct answers. B and E.
    - 2.5 ( 1 - 2 n ) - 1.5 n =

    - 2.5 ∙ 1 - 2.5 ∙ ( - 2 n ) - 1.5 n =

    - 2.5 + 5 ∙ n - 1.5 n =

    - 2 .5 + 3.5 n =

    3.5 n - 2.5

    If you analyse all offered answers:

    A:

    - 2.5 - 3.5 n = - 3.5 n - 2.5

    not equal 3.5 n - 2.5

    B:

    - 2.5 + 3.5 n = 3.5 n - 2.5

    equal 3.5 n - 2.5

    C:

    - 2.5 - 6.5 n = - 6.5 n - 2.5

    not equal 3.5 n - 2.5

    D:

    - 2.5 - n ( 5 -1.5 ) = - 2.5 - n ∙ 3.5 = - 3.5 n - 2.5

    not equal 3.5 n - 2.5

    E:

    - 2.5 + n ( 5 -1.5 ) = - 2.5 + n ∙ 3.5 = 3.5 n - 2.5

    equal 3.5 n - 2.5

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