### Home > MC2 > Chapter 6 > Lesson 6.1.4 > Problem 6-38

Write an expression for each mat below. .

Simplify each mat to determine which expression is greater, if possible.

Cancel out any zero pairs of tiles that you find.

How many of each tile is left from each side? Use this information to write an expression for each mat.

Mat A has the expression

since there is one-tile andunit tiles. Mat B has the expression . Now remove any matched sets from both sides. We are left with:

Mat A equals

Mat B equals

Since we don't know the value of, we do not know which Mat is greater.If

, would your answer to part (a) change? Explain.Which Mat is greater when you substitute

for ?If

, would your answer change? Explain.Which Mat is greater when you substitute

for ?

Explore the problem with the eTool below.

Click the link at right for the full version of the eTool: *MC2 6-38 HW eTool*