Given:
The algebra tiles of an equation.
To find:
The equation represented by the given model.
Solution:
On the left side of the model we have 4 tiles of (-x) and 3 tiles of (-1). So,
[tex]LHS=(-x)+(-x)+(-x)+(-x)+(-1)+(-1)+(-1)[/tex]
[tex]LHS=-4x+(-3)[/tex]
[tex]LHS=-4x-3[/tex]
On the right side of the model we have 8 tiles of (-1). So,
[tex]RHS=(-1)+(-1)+(-1)+(-1)+(-1)+(-1)+(-1)+(-1)[/tex]
[tex]RHS=-8[/tex]
Now, equate the LHS and RHS to get the equation.
[tex]-4x-3=-8[/tex]
Therefore, the equation for the given model is [tex]-4x-3=-8[/tex].
