Question

what expression is represented in the algebra tiles?
(there is an image of three gray rectangles labeled xy, and a legend with gray square as +1 and white square as -1, but the rectangles are labeled xy. also, there is an answer section with attempt 2 out of 2 and a submit answer button.)

Explanation:

Step1: Count the number of \( xy \) tiles

There are three gray tiles, each labeled \( xy \), and the gray tile represents \( +1 \) (from the key: gray is \( +1 \)). So we have three \( xy \) terms.

Step2: Write the expression

To find the total expression, we add the three \( xy \) terms together. Mathematically, that is \( xy + xy + xy \), which simplifies to \( 3xy \) (since adding like terms: \( 1xy + 1xy + 1xy = (1 + 1 + 1)xy = 3xy \)).

Answer:

\( 3xy \)