Which of the following are equivalent expressions to : - 2 (3x + 6)

Question

|1.| 3x + 6 + 3x + 6

|2.| - 2 (3x) + 6
|3.| - 6x + (-12)

|4.| - 3x - 6 - 3x - 6

|5.| - 6x + 12

|6.| - 6x - 12

|4.| - 3x - 6 - 3x - 6

Answer 1

When distributed, the expression is -6x - 12.

Going through each of the choices, when distributed they are:

(1) 6x + 12

(2) -6x - 12

(3) -6x -12

(4) -6x - 12

(5) -6x + 12

(6) -6x - 12

(7) -6x - 12

 

Therefore, choices 2, 3, 4, 6 and 7 are equivalent to the expanded/distributed expression.