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Identify the linear expression that does not belong with the other three. Explain your reasoning?

a. (-5x+3)-(-7x-1)
b. ((-3x+3)-(-5x-2)
c. (x-6)-(-x-10)
d. (-7x+2)-(-9x-2)

User Darren Lau
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Answer:

The linear expression that does not belong with the other three is (x-6)-(-x-10).

The reason is that the other three expressions involve subtracting two terms that are being multiplied by a negative number. In expression a, we have (-5x+3)-(-7x-1), where the second term is the negative of (-7x-1). In expression b, we have ((-3x+3)-(-5x-2)), where the second term is the negative of (-5x-2). In expression d, we have (-7x+2)-(-9x-2), where the second term is the negative of (-9x-2).

However, in expression c, we have (x-6)-(-x-10), where the second term is the negative of (-x-10). This expression does not fit the pattern of the other three, and therefore it is the expression that does not belong.

Explanation:

User Sparkitny
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