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 number of \( x \) tiles

There are 4 green tiles with \( x \), so the term with \( x \) is \( 4x \).

Step2: Count the number of 1 tiles on the left

The yellow tiles on the left: there are 3 rows of 3 tiles, so \( 3\times3 = 9 \). So the constant term on the left is 9.

Step3: Count the number of 1 tiles on the right

The yellow tiles on the right: there are 7 rows of 3 tiles, so \( 7\times3 = 21 \). So the constant term on the right is 21.

Step4: Form the equation

Combining the terms, the equation is \( 4x + 9 = 21 \).

Answer:

\( 4x + 9 = 21 \)