To solve the expression \(2(x - 1) + 3\), we can first simplify it.
-
Begin by distributing the 2: \[ 2(x - 1) = 2x - 2 \]
-
Now, add 3 to this result: \[ 2x - 2 + 3 = 2x + 1 \]
Now, we have the algebraic expression \(2x + 1\).
In terms of the tiles:
- The rectangular tile represents \(x\).
- The square tile representing positive \(1\).
Thus, the expression \(2x + 1\) can be represented as:
- 2 rectangular tiles (for \(2x\))
- 1 square tile (for \(+1\))
From the given options, you need to find the model that includes 2 stacked rectangular tiles and 1 square tile.
Therefore, the correct response is: An illustration shows 2 stacked rectangular tiles and 1 square tile.