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 6 blue \( x^2 \) tiles. So the term for \( x^2 \) is \( 6x^2 \).

Step2: Count \( x \) tiles

Green \( x \) tiles: 6 (top row) + 3 (bottom row) = 9. So the term for \( x \) is \( 9x \).

Step3: Count 1 tiles

Yellow 1 tiles: 3 + 2 + 2 = 7. So the term for 1 is \( 7 \).

Step4: Combine like terms

Add the three terms together: \( 6x^2 + 9x + 7 \).

Answer:

\( 6x^2 + 9x + 7 \)