A- write an expression for the number of tiles Bruce used and an expression for the number of tiles Felicia used. Use x to represent the number of tiles in a box.

B- to determine whether the used the same number of tiles, set the two expressions equal to each other and solve for x. Is there a solution for x? Why or why not? If there is a solution, what is it?

C- what conclusion can you draw from this?

D- how could you change the equation from part B so it has infinitely many solutions? What would infinitely many solutions mean in terms of the situation?

E- if the equation were 6x + 2 = 5x + 17, would there be one unique solution? What is it, and what would it mean in terms of the situation?