Question

what expression does this set of algebra tiles represent? combine like terms. for example, write 3 instead of 1 + 1 + 1.

Explanation:

Step1: Count \( x^2 \) tiles

There are 9 \( x^2 \) tiles (4 in first row, 4 in second row, 1 in third row: \( 4 + 4+ 1 = 9 \)), so the \( x^2 \) term is \( 9x^2 \).

Step2: Count \( x \) tiles

There are 6 \( x \) tiles, so the \( x \) term is \( 6x \).

Step3: Count constant (1) tiles

Count the yellow 1 - tiles: \( 3 + 3+ 2 = 8 \), so the constant term is \( 8 \).

Step4: Combine like terms

Combine the terms: \( 9x^2 + 6x + 8 \).

Answer:

\( 9x^2 + 6x + 8 \)