Checks are pieces of paper that represent an amount of cash. You can turn in that paper for real money. Balances are the amount of money that you have. When you check your balance, you can see how much money you have.
A check is what you yell when you trap a king in chess. And a balance is what you can use to measure two different weight to figure which one is heavier. Hope this helps (even though this is one a different topic... hehehehe...)
