Question

which equation does this set of algebra tiles represent? 2x + 4 = 6, -x + 4 = 6, -x - 4 = 6, 2x - 4 = 6

Explanation:

Step1: Analyze left - hand side (LHS)

The left - hand side has a red tile labeled \(-x\) and four yellow tiles each labeled \(1\). So the expression for the left - hand side is \(-x + 1+1 + 1+1\). Simplifying the constants, \(1 + 1+1 + 1=4\), so the left - hand side is \(-x + 4\).

Step2: Analyze right - hand side (RHS)

The right - hand side has six yellow tiles each labeled \(1\), so the expression for the right - hand side is \(1+1 + 1+1+1+1 = 6\).

Step3: Form the equation

Putting the left - hand side and the right - hand side together, we get the equation \(-x + 4=6\).

Answer:

\(-x + 4 = 6\) (the second option: \(-x + 4 = 6\))