Question

What equation represents the model shown below?

Answer 1

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,

`LHS=(-x)+(-x)+(-x)+(-x)+(-1)+(-1)+(-1)`

`LHS=-4x+(-3)`

`LHS=-4x-3`

On the right side of the model we have 8 tiles of (-1). So,

`RHS=(-1)+(-1)+(-1)+(-1)+(-1)+(-1)+(-1)+(-1)`

`RHS=-8`

Now, equate the LHS and RHS to get the equation.

`-4x-3=-8`

Therefore, the equation for the given model is
`-4x-3=-8`.