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 6 blue \( x^2 \) tiles, so the term is \( 6x^2 \).

Step2: Count \( x \) tiles

There are 3 green \( x \) tiles, so the term is \( 3x \).

Step3: Count constant tiles

There is 1 yellow constant tile (value 1), so the term is \( 1 \).

Step4: Combine terms

Combine the like terms (already combined by counting) to get \( 6x^2 + 3x + 1 \).

Answer:

\( 6x^2 + 3x + 1 \)