To represent [tex]\( x - 2 \)[/tex] using algebra tiles, we need to understand what each type of tile signifies.
- The "x" tile represents the variable [tex]\( x \)[/tex].
- The square ( [tex]\(\square\)[/tex] ) tile represents a positive unit tile, which is [tex]\( +1 \)[/tex].
- To represent a negative unit, we use an empty square with a "-" in front, which is [tex]\( -1 \)[/tex].
So, [tex]\( x - 2 \)[/tex] would be represented by:
- One "x" tile for the [tex]\( x \)[/tex] part.
- Two negative unit tiles ([tex]\( -1 \)[/tex] each) for the [tex]\( -2 \)[/tex] part.
Therefore, the correct representation of [tex]\( x - 2 \)[/tex] using algebra tiles is:
- One "x" tile.
- Two negative unit tiles ([tex]\(-1\)[/tex]).
Putting it all together, [tex]\( x - 2 \)[/tex] can be visualized as:
- [tex]\( x \)[/tex]
- [tex]\( -1 \)[/tex] (empty square)
- [tex]\( -1 \)[/tex] (empty square)
So, the algebra tiles representation for [tex]\( x - 2 \)[/tex] is:
[tex]\[ x \, \text{ } [-1] \, \text{ } [-1] \][/tex]
Or, using simple notation:
- [tex]\( x \, \square \)[/tex]
- [tex]\( x \, [-1] \, [-1] \)[/tex]
The precise configuration is one "x" tile followed by two negative unit tiles.
