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 \( x \) tiles

There are 3 green tiles with \( x \), so the left - hand side (LHS) for the \( x \) terms is \( 3x \).

Step2: Count the number of 1 tiles

The yellow tiles are 1s. Let's count them: there are 9 rows and 3 columns? Wait, no, looking at the yellow tiles, let's count the number of 1s. Each yellow tile is 1. Let's count: the yellow grid has 9 rows? Wait, no, the yellow tiles: let's see, the first row has 3 ones, second row 3, third row 3, fourth row 3, fifth row 3, sixth row 3, seventh row 3, eighth row 3, ninth row 3? Wait, no, the image shows the yellow tiles as a grid. Wait, actually, the number of yellow tiles (1s) is \( 9\times3 = 27 \)? Wait, no, maybe I mis - see. Wait, the green tiles are 3 \( x \)s, and the yellow tiles: let's count the number of 1s. Wait, the problem says "combine like terms". Wait, maybe the left - hand side is the green tiles (3 \( x \)s) and the right - hand side is the yellow tiles (number of 1s). Wait, no, the equation is the green tiles equal to the yellow tiles? Wait, the green tiles are 3 \( x \)s (since there are 3 green rectangles with \( x \)), and the yellow tiles: let's count the number of 1s. Let's see, the yellow tiles: each small square is 1. Let's count the number of small squares. The yellow grid: how many rows and columns? Let's see, the first row of yellow has 3 ones, second row 3, third row 3, fourth row 3, fifth row 3, sixth row 3, seventh row 3, eighth row 3, ninth row 3? No, that can't be. Wait, maybe the yellow tiles are 9 rows of 3? Wait, 93 = 27? No, maybe I made a mistake. Wait, the problem says "what equation does this set of algebra tiles represent? Combine like terms...". Wait, the green tiles: 3 tiles with \( x \), so that's \( 3x \). The yellow tiles: let's count the number of 1s. Let's look at the yellow tiles: each tile is 1. Let's count the number of yellow tiles. From the image, the yellow tiles are arranged in a grid. Let's count the number of yellow tiles: the first row has 3, second row 3, third row 3, fourth row 3, fifth row 3, sixth row 3, seventh row 3, eighth row 3, ninth row 3? No, that's 27. But that seems too big. Wait, maybe the yellow tiles are 9 columns? No, maybe the number of yellow tiles is 27? Wait, no, maybe I mis - interpret. Wait, the green tiles are 3 \( x \)s, and the yellow tiles: let's count the number of 1s. Wait, the problem says "combine like terms", so the equation is \( 3x=27 \)? Wait, no, maybe the number of yellow tiles is 27? Wait, no, let's re - examine. Wait, the green tiles: 3 \( x \)s (three green rectangles with \( x \)). The yellow tiles: each small square is 1. Let's count the number of small squares in the yellow grid. Let's see, the yellow grid has 9 rows and 3 columns? 93 = 27. So the equation is \( 3x = 27 \). Wait, but maybe I miscounted. Wait, maybe the yellow tiles are 9 rows of 3? So 27 ones. So the equation is \( 3x=27 \).

Wait, maybe I made a mistake. Let's start over. The green tiles: 3 tiles with \( x \), so that's \( 3x \). The yellow tiles: each tile is 1. Let's count the number of yellow tiles. Let's see, the yellow tiles: first row 3, second row 3, third row 3, fourth row 3, fifth row 3, sixth row 3, seventh row 3, eighth row 3, ninth row 3. So 9*3 = 27. So the equation is \( 3x = 27 \).

Answer:

\( 3x = 27 \)