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 7 blue \( x^2 \) tiles, so the term is \( 7x^2 \).

Step2: Count \( x \) tiles

There is 1 green \( x \) tile, so the term is \( x \).

Step3: Count constant (1) tiles

Count the yellow 1 - tiles: \( 2 + 2+ 1 = 5 \), so the term is \( 5 \).

Step4: Combine like terms

Add the three terms together: \( 7x^2 + x + 5 \).

Answer:

\( 7x^2 + x + 5 \)