Question

Use algebra tiles to model the expression. Then, use the model to help you write an equivalent expression, and complete the statements.

3(x + 1)

Model the expression as
groups of x + 1.
There are
x tiles.
There are
+ 1 tiles.
The equivalent expression is
.

Answer 1

To model the expression \(3(x + 1)\) with algebra tiles, we can break it down into groups.

1. **Model the expression:**
- The expression \(3(x + 1)\) means you have 3 groups of \(x + 1\).
- Each group consists of one \(x\) tile and one \(1\) tile.

2. **Count the tiles:**
- Since you have 3 groups of \(x\), you will have:
- There are \(3\) x tiles (because \(3\) groups of \(x\)).
- Since you have 3 groups of \(1\), you will have:
- There are \(3\) + 1 tiles (because \(3\) groups of \(1\)).

3. **Write the equivalent expression:**
- Combining the \(x\) tiles and the \(1\) tiles gives:
\[
3x + 3
\]

So, the statements are completed as follows:
- There are **3** x tiles.
- There are **3** + 1 tiles.
- The equivalent expression is **3x + 3**.