Flashcard 3 - Mathematics Flashcard Set for the TABE Test

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The correct answer is:

Change the sign of the subtrahend and proceed to algebraic addition.


Explanation:

This can also be thought of in terms of the distributive property: distribute the negative sign through the second parenthesis and combine like terms as usual.
In \((8 + 5x) – (3 – x)\), change the sign of the subtrahend \((-3 + x)\) and proceed to addition:

\((8 + 5x) + (-3 + x) \\ 8 + 5x - 3 + x \\ 8 - 3 + 5x + x \\ 5 + 6x\).

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