Question

what equation does this set of algebra tiles represent?
image of algebra tiles: left side has a green tile labeled x and two yellow tiles labeled 1; right side has five yellow tiles labeled 1
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 one tile representing \(x\) and two tiles representing \(1\). So, the expression for the left - hand side is \(x + 1+1\). Combining the like terms (the two \(1\)s), we get \(x + 2\).

Step2: Analyze right - hand side (RHS)

The right - hand side has five tiles representing \(1\) (since we have two rows of two and one extra, \(2 + 2+ 1=5\)). So the expression for the right - hand side is \(1 + 1+1 + 1+1\), which combines to \(5\).

Step3: Form the equation

Since the left - hand side is equal to the right - hand side, the equation is \(x + 2=5\).

Answer:

\(x + 2 = 5\)