Question

Model the problem with algebra tiles. Then use the model to write an algebraic expression that represents the situation.

Bernadette bought six more fish for her tank.

How can you model this situation?

The situation can be modeled by algebra tiles with
and
.

The situation can be represented as an algebraic expression as
.

Answer 1

To model the situation with algebra tiles, we can use the following representations:

- Let \( x \) represent the number of fish that Bernadette originally had in her tank. This can be modeled as a single tile representing the initial quantity of fish.
- The six additional fish she bought can be represented as six positive tiles, each representing one fish.

Putting this together, the situation can be represented with:

- One tile for the original number of fish: \( x \)
- Six tiles for the additional fish: \( +6 \)

The algebraic expression that represents this situation can be written as:

\[
x + 6
\]

Thus, the situation can be modeled by algebra tiles with \( x \) (the original number of fish) and \( +6 \) (the six additional fish). The algebraic expression that represents the situation is \( x + 6 \).