Question

Which expression is equivalent to 27 + 45? 8(3 + 6) 8(19 + 37) 9(3 + 5) 9(18 + 36)

Answer 1

It may be easier to just do the work until you find a result equal to 27+45.
You must do the work inside parentheses first:

8(3+6) = 8(9) = 72 It just happens that this is equal to 72.

8(19+37) = 8(56) This is much greater than 72 and is not the correct answer.

And so on.

Answer 2

9(3+5) is equivalent because factoring a 9 out of both 27 and 45 leaves us with 9(3+5).