Question

what equation does this set of algebra tiles represent?
combine like terms on each side of the equation. for example, write 3 instead of 1 + 1 + 1.

Explanation:

Step1: Count the number of -x terms

There are 7 red tiles with -x, so the left side is $-x -x -x -x -x -x -x$. Combining these like terms, we have $7\times(-x)= -7x$.

Step2: Count the number of 1 terms

For the yellow tiles (1s), let's count: The first row has 3, second 3, third 3, fourth 3, fifth 2. So total is $3 + 3 + 3 + 3 + 2 = 14$. So the right side is 14 (since each yellow tile is 1, combining them gives 14).

Step3: Form the equation

Putting the left and right sides together, the equation is $-7x = 14$.

Answer:

$-7x = 14$