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25 February, 15:56

A classmate simplifies the expression in exercise 1. is the expression he wrote equivalent to the original expression? explain.

exercise 1: 14d - 9 - 21k - 7dk + 2

exercise 4: 7dk (2 - 3 - 1) - 7

the length of a book is 2.75 times greater than the width. Write and simplify an algebraic expression for the perimeter of the box in terms of the width w.

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  1. 25 February, 16:50
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    Excercise 1:

    No, this is not simplified fully. The full answer would be - 7dk+14d-21k - 7, not 14d - 9 - 21k - 7dk + 2. So, it is not equivalent.

    Excercise 4:

    7dk (2 - 3 - 1) - 7

    Just multiply 7dk into (2) (-3) and (-1)

    you'd get:

    - 14dk + - 7 after simplifying it fully.

    p = parameter

    w = width

    w+2.75

    p = 2w+2 (w+2.75) = 4w + 5.5 = 30

    Answer to the last one:

    w = 6.125
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