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Home > CC2MN > Chapter 7 > Lesson 7.2.4 > Problem 7-102
Write an expression for each mat below.
Simplify each mat to determine which expression is greater, if possible.
Cancel out any zero pairs 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 and unit 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: 7-102 HW eTool (CPM)