Levon has 45 minutes until he needs to leave for his piano lesson. He spends 27 minutes watching an episode of his favorite TV show. Then he wants to play a game on his tablet. At most, how long can Levon spend playing the game before he need to leave?

Solve the inequality.

45 - 27 - x ≤ 0

18 - x ≤ 0
-x ≤ -18
x ≥ 18

Therefore, Levon can play the game for at most 18 minutes before he needs to leave.

To solve this problem, we need to subtract the time Levon spends watching the TV show from the total time he has, and then determine how much time is left for him to play the game.

Total time Levon has = 45 minutes
Time spent watching TV show = 27 minutes

Time left for Levon to play the game = Total time - Time spent watching TV show

Time left for Levon to play the game = 45 minutes - 27 minutes

Time left for Levon to play the game = 18 minutes

Therefore, Levon can play the game for at most 18 minutes before he needs to leave for his piano lesson.