Final answer:
The algebraic expression 2x + 6 represents the number of tiles in Group B. The smallest value is when x = 0, resulting in 6 tiles.
Step-by-step explanation:
The algebraic expression that represents the number of tiles in Group B is 2x + 6.
The smallest value that this expression can have is when x has the smallest possible value. Assuming x is a positive number, this would be when x = 0. Plugging in x = 0 into the expression, we get 2(0) + 6 = 0 + 6 = 6. Therefore, Group B would have the smallest value of 6 tiles.