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 -x terms

There are 4 red tiles with -x, so the term is $-4x$.

Step2: Count 1s on left

Count yellow 1s on left: first row 3, second row 3, third row 2. Total: $3 + 3 + 2 = 8$. So left side: $-4x + 8$.

Step3: Count 1s on right

Count yellow 1s on right: first 10 rows (3 each) is $10\times3 = 30$, then 2 more. Total: $30 + 2 = 32$. So right side: $32$.

Step4: Form equation

Combine to get: $-4x + 8 = 32$.

Answer:

$-4x + 8 = 32$