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Equivalent expressions SAT question

Math · Advanced Math · Easy · Answer it here, explanation included.

Which of the following is equivalent to the given expression?

ExplanationShow

Choice B is correct. Using the associative and commutative properties of addition, the given expression open parenthesis, x plus 5, close parenthesis, plus, open parenthesis, 2 x minus 3, close parenthesis can be rewritten as open parenthesis, x plus 2 x, close parenthesis, plus, open parenthesis, 5 minus 3, close parenthesis. Adding these like terms results in 3 x plus 2.

Choice A is incorrect and may result from adding open parenthesis, x minus 5, close parenthesis, plus, open parenthesis, 2 x plus 3, close parenthesis. Choice C is incorrect and may result from adding open parenthesis, x minus 5, close parenthesis, plus, open parenthesis, 2 x minus 3, close parenthesis. Choice D is incorrect and may result from adding open parenthesis, x plus 5, close parenthesis, plus, open parenthesis, 2 x plus 3, close parenthesis.

 

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