Could you please check these sentences, too?

1) To begin with, I’ll have potato soup. I couldn’t help laughing.
2) I’m worried about Brian’s arriving so late. She admitted eating all the cakes.
3)I couldn’t do anything but put off (postpone) the appointment. I spend a lot of time doing my homework.
4) You’ll waste your time trying to persuade him to come. He risked being killed when crossing the road.
5) Did you manage to finish the exercise? He makes/earns a living as a waiter. I’m waiting for Mary to get ready.
6) The children denied breaking the window. I saw him get into his car. I’d rather stay at home than go to the cinema.
7) It took a long time for Jane to be ready.

All are fine.

1) To begin with, I’ll have potato soup. I couldn’t help laughing.

To check this sentence, we need to ensure the use of correct grammar and punctuation. First, it is important to note that the sentence starts with a capital letter and ends with a period. Also, the verb tense agreement seems correct, as "I’ll have" and "I couldn’t help laughing" are both in the past tense. Overall, the sentence seems fine.

2) I’m worried about Brian’s arriving so late. She admitted eating all the cakes.
We need to check the grammar and structure of this sentence. It starts with a capitalized letter and ends with a period. The sentence structure appears correct since "I’m worried about Brian’s arriving so late" and "She admitted eating all the cakes" are both complete thoughts. Grammar-wise, "Brian’s arriving" might be better written as "Brian arriving" without the possessive form. The usage of "admitted eating" seems correct since the verb "admit" can be followed by a gerund form. Therefore, the sentence seems accurate.

3) I couldn’t do anything but put off (postpone) the appointment. I spend a lot of time doing my homework.
Again, we need to analyze the grammar and structure of these sentences. The capitalization and punctuation seem correct. In the first sentence, the structure appears fine, as "I couldn’t do anything but put off the appointment" is a complete thought. The second sentence also seems grammatically correct as "I spend a lot of time doing my homework" is a complete thought. Therefore, both sentences seem accurate.

4) You’ll waste your time trying to persuade him to come. He risked being killed when crossing the road.
We should check the grammar and structure of these sentences. The capitalization and punctuation seem correct. The first sentence, "You’ll waste your time trying to persuade him to come," appears to be grammatically accurate. The second sentence, "He risked being killed when crossing the road," also seems grammatically correct. Therefore, both sentences seem accurate.

5) Did you manage to finish the exercise? He makes/earns a living as a waiter. I’m waiting for Mary to get ready.
We need to analyze the grammar and structure of these sentences. The capitalization and punctuation are correct. The first sentence, "Did you manage to finish the exercise?" is a complete interrogative sentence. The second sentence, "He makes/earns a living as a waiter," seems accurate since both "makes" and "earns" can be used in this context. The third sentence, "I’m waiting for Mary to get ready," appears to be grammatically correct. Therefore, all three sentences seem accurate.

6) The children denied breaking the window. I saw him get into his car. I’d rather stay at home than go to the cinema.
Again, we need to analyze the grammar and structure of these sentences. The capitalization and punctuation seem correct. The first sentence, "The children denied breaking the window," appears to be grammatically accurate. The second sentence, "I saw him get into his car," also seems grammatically correct. The third sentence, "I’d rather stay at home than go to the cinema," appears to be grammatically correct. Therefore, all three sentences seem accurate.

7) It took a long time for Jane to be ready.
We need to check the grammar and structure of this sentence. The capitalization and punctuation seem accurate. The sentence, "It took a long time for Jane to be ready," appears grammatically correct. Therefore, the sentence seems accurate.