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Addition and Subtraction of Algebraic Expression

Which express...

Question

Which expression matches the statement
"Subtract the sum of $5 x$ and $3 x$ from $12 y$ ”?

A

$5 x + 3 x - 12 y$

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B

$5 x + 3 x + 12 y$

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C

$12 y - 8 x$

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D

$12 y - 5 x + 3 x$

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Solution

The correct option is C
$12 y - 8 x$

Sum of $5 x$ and $3 x$ = $5 x + 3 x = 8 x$
Thus, subtracting the sum of $5 x$ and $3 x$ from $12 y$ gives us $12 y - (5 x + 3 x) = 12 y - 8 x .$

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