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 \( x^2 \) terms

There are 3 blue \( x^2 \) tiles, so the term is \( 3x^2 \).

Step2: Count \( -x \) terms

There is 1 red \( -x \) tile, so the term is \( -x \).

Step3: Count \( -1 \) terms

There are 5 red \( -1 \) tiles (4 in the 2x2 and 1 below), so the term is \( -5 \).

Step4: Combine like terms

Combine the terms: \( 3x^2 - x - 5 \).

Answer:

\( 3x^2 - x - 5 \)