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 the x - tiles and 1 - tiles on the left

On the left side, we have 9 tiles with \( x \) (so the term is \( 9x \)) and 3 tiles with 1 (so the term is \( 3\times1 = 3\)). So the left - hand side of the equation is \( 9x+3 \).

Step2: Count the 1 - tiles on the right

On the right side, we have a total of \( 4 + 4+4=12 \) tiles with 1 (since there are 3 rows and 4 columns of 1 - tiles). So the right - hand side of the equation is \( 12 \).

Step3: Form the equation

Combining the left - hand side and the right - hand side, the equation is \( 9x + 3=12 \).

Answer:

\( 9x + 3 = 12 \)