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 $-4x-3=-8$.