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 total: $8\times(-x^2) = -8x^2$

Step2: Count $x$ tiles

There are 2 tiles of $x$, so total: $2\times x = 2x$

Step3: Count $-1$ tiles

There are 10 tiles of $-1$, so total: $10\times(-1) = -10$

Step4: Combine all terms

Add the results from Steps 1-3.

Answer:

$-8x^2 + 2x - 10$