Replace x in each equation and see which ones are true.
The answers are:
C. If 5x + 10 =20 then x =2
D. If 6x-12=48, then x=10
F. If 8x(x-4)=32, then x=8
Correct answer: A) A = the card is red, B = the card is black
Because mutually exclusive means "cannot occur simultaneously."
The other choices all can occur together.
If you would like to know in which step did the student first make an error and what is the correct step, you can calculate this using the following steps:
3(2x - 4) = 8 + 2x + 6
6x - 12 = 8 + 2x + 6
6x - 12 = 14 + 2x ... Step 2
6x - 2x = 14 + 12
4x = 26
x = 26/4 = 13/2
The correct result would be Step 2; <span>6x - 12 = 14 + 2x.</span>