Question

what expression does this set of algebra tiles represent?
(algebra tiles: 1 blue x² tile, 9 green x tiles, 9 yellow 1 tiles)
combine like terms. for example, write 3 instead of 1 + 1 + 1.

Explanation:

Step1: Identify the $x^2$ term

There is 1 tile labeled $x^2$, so this term is $x^2$.

Step2: Count the $x$ terms

There are 9 green tiles each labeled $x$, so this term is $9x$.

Step3: Count the constant terms

There are $3 \times 3 = 9$ yellow tiles each labeled 1, so this term is $9$.

Step4: Combine all terms

Add the identified terms together.

Answer:

$x^2 + 9x + 9$