Question

which equation does this set of algebra tiles represent? 1 1 1 = 1 1 1 1 x 1 1 1 1 1 1 1 1 x + 5 = 11 x + 8 = 11 x + 3 = 11 x + 7 = 11 submit

Explanation:

Step1: Count left-side tiles

Left has 1 \( x \) tile and 7 unit tiles (count: 3 + 2 + 2? Wait, original left: \( x \), then 3, 2, 2? Wait, looking at the left: the green \( x \), then first row 3, second 2, third 2? Wait no, the left side: the green \( x \) and then the yellow unit tiles: first row 3, second row 2, third row 2? Wait no, maybe the left has \( x \) + (3 + 2 + 2)? Wait no, the left: the green \( x \) and then the yellow tiles: first row 3, second row 2, third row 2? Wait no, let's recheck. The left side: the green \( x \) and then the yellow unit tiles: how many? Let's count the left's unit tiles: first row 3, second row 2, third row 2? Wait 3 + 2 + 2 = 7? Wait no, maybe the left is \( x \) + 7? Wait the right side: let's count the right's unit tiles. Right side: first row 4, second row 4, third row 3? Wait 4 + 4 + 3 = 11. Wait left: \( x \) + 7? Wait no, maybe I miscounted. Wait the left side: the green \( x \) and then the yellow tiles: first row 3, second row 2, third row 2? Wait 3 + 2 + 2 = 7? Then right side: first row 4, second row 4, third row 3? 4 + 4 + 3 = 11. So equation is \( x + 7 = 11 \)? Wait no, wait the left: maybe the left has \( x \) + (3 + 2 + 2)? Wait 3 + 2 + 2 = 7. Right: 4 + 4 + 3 = 11. So the equation is \( x + 7 = 11 \)? Wait the options: \( x + 5 = 11 \), \( x + 8 = 11 \), \( x + 3 = 11 \), \( x + 7 = 11 \). So the correct one is \( x + 7 = 11 \). Wait maybe I miscounted left. Wait left: the green \( x \), then first row 3, second row 2, third row 2? 3 + 2 + 2 = 7. So left is \( x + 7 \), right is 11. So equation \( x + 7 = 11 \).

Step2: Match with options

The option \( x + 7 = 11 \) matches the count (left: \( x + 7 \), right: 11).

Answer:

\( x + 7 = 11 \) (the option: \( x + 7 = 11 \))