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 8 tiles of \(-x^2\), so the term for \(x^2\) is \(8\times(-x^2)= -8x^2\).

Step2: Count \(x\) tiles

There are 10 tiles of \(x\), so the term for \(x\) is \(10x\).

Step3: Count \(-1\) tiles

There is 1 tile of \(-1\), so the constant term is \(-1\).

Step4: Combine terms

Combine the three terms: \(-8x^2 + 10x - 1\).

Answer:

\(-8x^2 + 10x - 1\)