Question

what expression does this set of algebra tiles represent?
-x² -x² x x -1 -1
-1 -1
-1
combine like terms. for example, write 3 instead of 1 + 1 + 1.

Explanation:

Step1: Count $-x^2$ tiles

There are 2 tiles of $-x^2$, so total: $-x^2 + (-x^2) = -2x^2$

Step2: Count $x$ tiles

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

Step3: Count $-1$ tiles

There are 5 tiles of $-1$, so total: $-1 + (-1) + (-1) + (-1) + (-1) = -5$

Step4: Combine all terms

Add the results from Steps 1-3 together.

Answer:

$-2x^2 + 2x - 5$