Under normal circumstances, you are only allowed one Normal Summon per turn. A Tribute Summon is a kind of Normal Summon, meaning that if you wanted to do both in one turn, you'll need an effect that specifically lets you, like Double Summon.
Note that a special summon that requires tribute, is not a Tribute Summon. You can perform those in the same turn as a Normal Summon.
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A tribute summon is a form of Normal Summon. So that means you can only tribute summon OR normal summon ONCE per turn.
You can definitely tribute a monster on the same turn as a Normal Summon, ie, you can normal summon Exiled Force and tribute it for its effect. What you can't do is tribute it for a Tribute Summon because this is another Normal Summon, you can't perform two in a turn unless an effect allows you to do so. But you can tribute that monster for other things, like an activation cost or for a special summon.
Yes, you can tribute monsters for card effects and Tribute Summon the same turn you summon a monster. However, you cannot Normal Summon a monster and Tribute Summon on the same turn because you can only Normal Summon once per turn. Cards such as Double Summon and Ultimate Offering will let you do that.
Not quite. A Synchro Summon is a Special Summon. A Tribute Summon is the same as a Normal Summon, except that when you Tribute Summon you need to tribute monsters. Also you can Special Summon as many times as you want to in a turn, whereas you can only Normal Summon OR Tribute Summon once per turn, except with a card effect.
Yes, there is nothing inherently within the tributing or summoning rules which would stop you from tributing a monster you summoned the same turn you summoned it. Obviously, due to the regular summon rules, you can not Tribute Summon the monster you just Normal Summoned on the same turn; it would count as two Normal Summons. But if the first summon was a Special Summon, you had used "Double Summon", or wanted to tribute it for an effect like "Enemy Controller", then it's totally fine to tribute that monster for them.