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1 vote
Which expressions are equivalent to :

-1/2 (4−2+8x)​?
A. -4x -1
B. 4x +1
C. -2+1 - 4x
D. 2+1 -4x
E. 4x -1
F. 3x

User Herr Derb
by
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1 Answer

6 votes

Answer:

A. -4x -1

C. -2 +1 -4x

Explanation:

You want expressions that are equivalent to -1/2(4 -2 +8x).

Distributive property

The distributive property tells you that multiplication distributes over addition:

-1/2(4 -2 +8x) = -1/2(4) +(-1/2)(-2) +(-1/2)(8x)

= -2 +1 -4x . . . . . . . matches choice C

Combining like terms, we have ...

= -1 -4x

Writing the terms in order of decreasing powers of x give us ...

= -4x -1 . . . . . . . . matches choice A

User David Okwii
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