Question

what equation does this set of algebra tiles represent?
combine like terms on each side of the equation. for example, write 3 instead of 1 + 1 + 1.

Explanation:

Step1: Analyze left - hand side (LHS)

The left - hand side of the equation has a tile representing \(-x\) and a tile representing \(-1\). So the expression for the LHS is \(-x - 1\).

Step2: Analyze right - hand side (RHS)

The right - hand side of the equation has five tiles each representing \(-1\). Since we combine like terms, the sum of five \(-1\)s is \(-1\times5=-5\). So the expression for the RHS is \(-5\).

Step3: Form the equation

Now we set the LHS equal to the RHS. So the equation is \(-x - 1=-5\).

Answer:

\(-x - 1=-5\)