1. He stopped smoking.

(Does it mean that he stopped smoking forever or does it mean he stopped smoking for the time being?)

2. He quit/quitted smoking.
(What about this one? Is it the same as #1? Do we have to use 'quit' or 'quitted'?)

3. He awoke to find himself famous.
= He awoke and found himself
famous.

3-1. He woke up to find himself famous.
= He woke up and found himself
famous.

4. He lived to be eighty-eight years
old.
= He lived till he was eighty-eight
years old.

(Are they all grammatical?)

5. To do his best, he could not succed in the business.
= Though he did his best, he could not succeed in the business.

6. It is difficult to solve this math
problem.
= This math proble is difficult to
solve.

7. I should be glad to go with you.
= I should be glad if I could go with you.

8. I would be glad to go with you.
= I would be glad if I went with you.
= I would be glad if I could go with you.

(Are they all correct and interchangable? Does each pair have the same meaning?)

1. He stopped smoking.

(Does it mean that he stopped smoking forever or does it mean he stopped smoking for the time being?) The use of the simple past tense "stopped" indicates that he stopped in the past and hasn't resumed the practice.

2. He quit/quitted smoking.
(What about this one? Is it the same as #1? Do we have to use 'quit' or 'quitted'?) "quit" is correct; this is one of those irregular verbs whose principal parts do not change, just like "cut" and "cost" and others.

3. He awoke to find himself famous.
= He awoke and found himself
famous. yes

3-1. He woke up to find himself famous.
= He woke up and found himself
famous. yes

4. He lived to be eighty-eight years
old.
= He lived till he was eighty-eight
years old. yes, but it would be better to use "until" rather than "till" which has other meanings.

(Are they all grammatical?)

5. To do his best, he could not succed in the business.
= Though he did his best, he could not succeed in the business. The second sentence is better; it's not exactly the same as the first.

6. It is difficult to solve this math
problem.
= This math proble is difficult to
solve. yes; watch spelling - "problem"

7. I should be glad to go with you.
= I should be glad if I could go with you. yes

8. I would be glad to go with you.
= I would be glad if I went with you.
= I would be glad if I could go with you. yes, either one

#2 = He quit smoking. Both 1 and 2 mean the same but you do not know if he stopped temporarily or permanently.

#4 = till could be 'til

#5 is not good. You might say "Although he did his best,......"

#6 Check the spelling of "problem" in the 2nd sentence.

The rest are OK.

Sra

#1. That usually means that he has stopped smoking totally.

2. quit... and yes it means the same.

3(1) is the better.

4. is correct.

5. The second one is correct.

6. Both are correct

7. We do not use this.

8.. All of these are good.

1. The sentence "He stopped smoking" can be interpreted in different ways depending on the context. It could mean that he stopped smoking permanently, or it could mean that he stopped smoking for the time being, with the possibility of starting again in the future. Without further context, it is difficult to determine the exact meaning.

2. Both "He quit smoking" and "He quitted smoking" have the same meaning and imply that he stopped smoking. However, it is more common to use "quit" rather than "quitted" in modern English.

3. The sentence "He awoke to find himself famous" means that when he woke up, he realized that he had become famous. The phrase "awoke to" indicates that the act of waking up was followed by the realization of being famous.

3-1. The sentence "He woke up to find himself famous" has the same meaning as the previous sentence. The only difference is the use of "woke up" instead of "awoke." Both phrases imply the same sequence of events.

4. The sentence "He lived to be eighty-eight years old" means that he survived and remained alive until he reached the age of eighty-eight. The phrase "lived to be" indicates the duration of his life.

5. The sentence "To do his best, he could not succeed in the business" could be rephrased as "Though he did his best, he could not succeed in the business." Both sentences convey the same meaning, but the second version provides a clearer and more explicit connection between doing his best and not succeeding.

6. The sentence "It is difficult to solve this math problem" means that the math problem is challenging or hard to solve. Another way to express the same idea is "This math problem is difficult to solve." Both sentences have the same meaning, but the second version is more direct and emphasizes the difficulty of the task.

7. The sentence "I should be glad to go with you" expresses willingness or eagerness to accompany someone. It implies a desire to go with the person. Another way to convey the same meaning is "I should be glad if I could go with you." Both sentences have similar meanings, but the second one emphasizes the conditionality of being able to go.

8. The sentence "I would be glad to go with you" expresses a willingness or desire to accompany someone. Both "I would be glad if I went with you" and "I would be glad if I could go with you" convey similar meanings. The first version expresses a hypothetical scenario in which they go together, while the second version introduces the possibility of being unable to go. The meaning of each sentence depends on the specific context in which it is used.