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Linear equations in one variable SAT question

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

For what value of w does w minus 10, equals, 2 times, open parenthesis, w plus 5, close parenthesis ?

ExplanationShow

Choice D is correct. To solve the equation, use the distributive property to multiply on the right-hand side of the equation which gives w 10 = 2w + 10. Subtract w from both sides of the equation, which gives –10 = w + 10. Finally, subtract 10 from both sides of the equation, which gives –20 = w.

Choices A and B are incorrect and may result from making sign errors. Choice C is incorrect and may result from incompletely distributing the 2 in the expression 2(w + 5).

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