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 4 tiles of \(-x^2\), so total for \(-x^2\) is \(4\times(-x^2)= -4x^2\).

Step2: Count \(x\) terms

There are 5 tiles of \(x\), so total for \(x\) is \(5\times x = 5x\).

Step3: Count constant terms (1s)

There are \(3\times3 = 9\) tiles of 1 (since 3 rows and 3 columns of 1s), so total constant term is 9.

Step4: Combine like terms

Combine the three parts: \(-4x^2 + 5x + 9\).

Answer:

\(-4x^2 + 5x + 9\)