### Home > MC2 > Chapter 5 > Lesson 5.2.3 > Problem5-67

5-67.

Write an algebraic expression for each mat below. Then use the legal moves that you have developed to simplify each mat and, if possible, decide which expression is greater.

Mat A

How many zero pairs of $x$-tiles are there?

There are two zero pairs of $x$-tiles. Now how many zero pairs of unit tiles are there?

There is one pair of zero unit tiles. Now remove the zero pairs and what is left?

$2x+1$

Mat B

How many zero pairs of $x$-tiles are there?

There are two zero pairs of $x$-tiles. Now how many zero pairs of unit tiles are there?

There are four pairs of zero unit tiles. Now remove the zero pairs and what is left?

$2x+2$
Now remove anything that is the same on both sides. Which side is greater?

Mat A

$3x+2$

Mat B

$3x+2$
Now remove $3x$ from each side because they are the same. $2=2$; They are equal.