1. I would be glad to go with you.

2. I would be glad if I could go with you.
3. I would be glad if I went with you.

(Does #1 mean #2 or #3?)

4. To watch him play basketball, you would think him a pro player.

5. If you could watch him play basketball, you would think him a pro player.

6. If you watched him play basketball, you would think him a pro player.

(Does #4 mean #5 or #6?)

7. She lived to be eighty.
8. She lived until/till she was eighty.
(Are both the same?)

9. She is very kind to help poor people.

10. How kind she is to help poor people!
(Are both the same? Thank you for your help.)

All the groups are fine. Nice job!

1. In this case, #1 means the same as #2. Both sentences indicate that the speaker would be happy or pleased if they could go with the person they are addressing.

To determine the meaning, we can break down the sentences:

- #1: "I would be glad to go with you." Here, the speaker is expressing their willingness or desire to accompany the person they are addressing.

- #2: "I would be glad if I could go with you." This sentence implies a condition or hypothetical situation. The speaker is saying that they would be pleased if they had the opportunity to go with the person.

- #3: "I would be glad if I went with you." This sentence suggests a different meaning. It implies that the speaker believes going with the person would make them glad, but it doesn't necessarily express their willingness or desire to do so.

2. #4 actually means the same as #6, and both sentences convey the same idea.

Breaking down the sentences:

- #4: "To watch him play basketball, you would think him a pro player." This sentence expresses the general impression someone would have if they watched him play basketball. It suggests that his skills on the court make him appear to be a professional player.

- #5: "If you could watch him play basketball, you would think him a pro player." Here, the sentence introduces a conditional situation in which the person being addressed has the opportunity to watch him play. It suggests that if this condition were to be met, that person would then think him to be a professional player.

- #6: "If you watched him play basketball, you would think him a pro player." This sentence is similar to #5 as it also highlights a conditional situation. However, it assumes that the person being addressed has already watched him play, strengthening the idea that they would form the same conclusion about him being a pro player.

3. Yes, both #7 and #8 have the same meaning.

- #7: "She lived to be eighty." This sentence states that she survived and remained alive until she reached the age of 80.

- #8: "She lived until/till she was eighty." These sentences convey the same meaning as #7. Using "until" or "till" indicates the same period of time until reaching the age of 80.

4. In this case, #9 and #10 have different meanings.

- #9: "She is very kind to help poor people." This sentence describes a general characteristic of her personality, stating that she is kind because she helps poor people.

- #10: "How kind she is to help poor people!" This sentence implies surprise or admiration for her kind behavior. It expresses the speaker's positive judgment of her actions, emphasizing the kindness she shows in helping the poor.

So, while both sentences highlight her kindness and helping nature, #10 places more emphasis on expressing admiration or astonishment towards her actions.