Ezreal is a very mobile AD Carry that can snowball himself very easily. His ability to get over wall and pretty much teleport anywhere within a few meters is very helpful when chasing enemies down in the jungle or even just getting into position for a kill in lane. Ezreal is very easy to play and he can be built for either attack damage or ability power, which can be helpful for putting together stronger team compositions.
When playing Ezreal, make sure to get as many Q’s out as possible. The more skillshots you land, the faster your ultimate comes off cooldown. Since Ezreal is very mobile, you are able to play aggressively in the early game because of his ability to escape so fast. If you are facing enemies without your teammates remember it is still possible to hold off. By firing off your Q and W over and over again your ultimate will be on less than a minute cooldown which can help to push out minion waves fast instead of always shooting it at an enemy.