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 9 red tiles each labeled $-x^2$, so total: $9\times(-x^2) = -9x^2$

Step2: Count $x$ tiles

There are 7 green tiles each labeled $x$, so total: $7\times x = 7x$

Step3: Count constant tiles

There are 4 + 6 = 10 yellow tiles each labeled 1, so total: $10\times1 = 10$

Step4: Combine all terms

Add the results from Steps 1-3 together.

Answer:

$-9x^2 + 7x + 10$