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: Count left - hand side tiles

The left - hand side has 7 tiles each labeled \(x\), so the left - hand side of the equation is \(7x\).

Step2: Count right - hand side tiles

The right - hand side has two rows of 5 tiles and one row of 4 tiles. Let's calculate the total number of 1 - tiles. \(5 + 5+4=14\). So the right - hand side is 14.

Step3: Form the equation

Combining the two sides, we get the equation \(7x = 14\).

Answer:

\(7x = 14\)