Question

what equation does this set of algebra tiles represent?
three green tiles labeled x = three rows of nine yellow tiles labeled 1 each
combine like terms on each side of the equation. for example, write 3 instead of 1 + 1 + 1.

Explanation:

Step1: Analyze left - hand side

The left - hand side has 3 tiles with the variable \(x\), so the left - hand side of the equation is \(3x\) (since \(x + x+ x=3x\)).

Step2: Analyze right - hand side

The right - hand side has 3 rows, and each row has 9 tiles with the value 1. So the total number of 1 - tiles is \(9\times3 = 27\) (because \(1 + 1+\cdots+1\) (9 times) for 3 rows, and using the multiplication \(9\times3\) to combine like terms). So the right - hand side of the equation is 27.

Step3: Form the equation

Combining the left - hand side and the right - hand side, the equation is \(3x=27\).

Answer:

\(3x = 27\)