To analyze the situation represented by the algebra tiles:
The statement "4 x tiles and 3 negative tiles = 5 x tiles and 4 positive tiles" can be translated into an algebraic equation.
Let's break it down:
- "4 x tiles" can be represented as
. - "3 negative tiles" can be represented as
. - "5 x tiles" can be represented as
. - "4 positive tiles" can be represented as
.
Putting it all together, we have:
Now, let's rewrite it for clarity:
This can be rearranged to see if it matches any of the provided options:
- Bring all terms involving
on one side: simplifying gives:
So we can match the original equation with the options.
The closest option from what you provided is:
4x + (–3) = 5x + 4.
Thus, the equation being modeled is:
4x + (–3) = 5x + 4.