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 7 tiles of \(-x^2\), so the sum of \(-x^2\) terms is \(7\times(-x^2)= -7x^2\).

Step2: Count \(-x\) terms

There are 2 tiles of \(-x\), so the sum of \(-x\) terms is \(2\times(-x)= -2x\).

Step3: Combine like terms

Add the two results together: \(-7x^2 + (-2x)= -7x^2 - 2x\).

Answer:

\(-7x^2 - 2x\)