Question for-wh

1.2 Linear Equations in One Variable - Single-variable equations (multi-step)
0:00

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

A.

B.

0

C.

negative 15

D.

negative 20

For what value of w does ?

Medium-difficulty · SAT Math · Linear Equations in One Variable — Single-variable equations (multi-step). Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

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).