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 has two \(-x\) terms and seven \(1\) terms. Combining the \(-x\) terms: \(-x+(-x)=-2x\), and combining the \(1\) terms: \(1 + 1+1+1+1+1+1 = 7\). So the left - hand side is \(-2x + 7\).

Step2: Analyze right - hand side (RHS)

The right - hand side has fifteen \(1\) terms. Combining these \(1\) terms: \(1\times15=15\). So the right - hand side is \(15\).

Step3: Form the equation

Putting the left - hand side and the right - hand side together, we get the equation \(-2x + 7=15\).

Answer:

\(-2x + 7 = 15\)