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8 April, 09:21

Use the distributive property to match equivalent expressions.

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  1. 8 April, 09:36
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    By using the distributive property the matched equivalent expressions are1) - 7 (-4+x) = 28-7x 2) - 7 (4-x) = -28+7x 3) 7 (4+x) = 28+7x 4) 7 (-4-x) = -28-7x

    Step-by-step explanation:

    Given that by using the distributive property to match the given equivalent expressions.

    1) Given expression is - 7 (-4+x)

    By Distributive property a (b+c) = ab+ac

    -7 (-4+x) = (-7) (-4) + (-7) (x)

    =28-7x

    ∴ - 7 (-4+x) = 28-7x

    2) Given expression is - 7 (4-x)

    By Distributive property a (b+c) = ab+ac

    -7 (4-x) = (-7) (4) + (-7) (-x)

    =-28+7x

    ∴ - 7 (4-x) = -28+7x

    3) Given expression is 7 (4+x)

    By Distributive property a (b+c) = ab+ac

    7 (4+x) = (7) (4) + (7) (x)

    =28+7x

    ∴ 7 (4+x) = 28+7x

    4) Given expression is 7 (-4-x)

    By Distributive property a (b+c) = ab+ac

    7 (-4-x) = (7) (-4) + (7) (-x)

    =-28-7x

    ∴ 7 (-4-x) = -28-7x

    Hence the matched equivalent expressions are

    1) - 7 (-4+x) = 28-7x

    2) - 7 (4-x) = -28+7x

    3) 7 (4+x) = 28+7x

    4) 7 (-4-x) = -28-7x
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