1. She had me wash the dishes.

2. I was had to wash the dishes. (X)
3. I was asked to wash the dishes.(O)

4. He bade me come in.
5. I was bidden to come in.
(Is #5 correct?)

6. He made me wash the car.
7. I was made to wash the car by him.
(In passive sentences, why do we have to put 'to' before 'the base form of a verb'? For example, 'to wash', and 'to come.')

You are right about sentences 1 - 3.

4 is fine.
5 would be better if you wrote, "I was asked to come in."

6 is fine.
7 is very awkward. Generally, passive sentences sound clunky when the original (active) has a pronoun for the subject. Either "He made me wash the car" or "I was forced to wash the car" works better.

1. Yes, "She had me wash the dishes" is a correct sentence. It indicates that someone made you wash the dishes.

2. The sentence "I was had to wash the dishes" is not correct. The correct form would be "I had to wash the dishes" which implies that you were required or forced to wash the dishes.

3. "I was asked to wash the dishes" is a correct sentence. It means that someone requested or politely invited you to wash the dishes but not necessarily forced you.

4. Yes, both "He bade me come in" and "I was bidden to come in" are correct sentences. They mean that someone instructed or commanded you to come in.

5. The phrase "I was bidden to come in" is correct. In passive sentences, we use the infinitive form of the verb preceded by "to" because it represents the action that is being performed on the subject. In this case, "to come" represents the action of being asked or instructed to come. The same rule applies to the phrase "I was made to wash the car."

6. "He made me wash the car" is correct. It means that someone compelled or forced you to wash the car.

7. "I was made to wash the car by him" is also correct, but it sounds a bit repetitive. You can simply say "I was made to wash the car," and it would convey the same meaning.