Getting a good score doesn't matter if you aren't having an impact on the game. You need to push your advantages to snowball into even larger advantages. A lot of times in lower elo you will see players getting a nice advantage in lane and then just sit there and not make use of it.
Ways to push your advantage:
-If you have kill potential on the opponent, freeze the wave closer to your side of the lane and deny them all the farm. Try to get as much harass in as you can to start getting as many kills as you can.
-If your opponent is playing too safe/is playing a champion which can escape really easily, then just shove your lane as hard as you can and start roaming to create pressure elsewhere. If you are playing a champion with stronger shove potential such as sivir or jinx, you can take down bot turret by 10 minutes, and rotate mid to help take even more objectives
-If the enemy laners have really good clearing potential and are making it hard to push down turrets, start getting deep wards in their jungle, rotate between lanes, use your vision of them in the jungle to make catches as they try to rotate to catch up.
It's all about getting a lead and pushing it as hard as you can.