Gloria says the two expressions 1/4(12x + 24) - 9x and -6(x + 1) are equivalent. Is she correct? Explain why or why not.

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asked Apr 9, 2016 193k views

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Michael Heilemann · Answer 1 · 2016-04-10T11:53:42+0000

so first distribute
1/4(12x+24)=3x+8
so 3x+8-9x=8-6x

-6(x+1)=-6x-6
8-6x is not equal to -6-6x
so she is NOT correct, they are not equivilent

Inbar · Answer 2 · 2016-04-15T18:24:56+0000

The first expression is equal to 3x + 24 - 9x, or 24 - 6x, and the second equation equals 6-6x. If you set them equal to eachother, you get 24 - 6x = 6 - 6x. The 6x's cancel out, so you're left with 24 = 6, which is not true. The expressions are not equivalent.

Gloria says the two expressions 1/4(12x + 24) - 9x and -6(x + 1) are equivalent. Is she correct? Explain why or why not.

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