1: How about a drink?
2: What about going for a ride?
3: Before she went to bed, she had written a letter
4: After he checked the cassette carefully, he had bought it
5: She avoids meeting him
6: After Kate took two aspirins, she had felt a lot better
7: Before Sheila went out for the evening, she had washed her hair

1. How about a drink?

2. What about going for a ride?
3. Before she went to bed, she had written a letter.
4. After checking the cassette carefully, he bought it

hoặc

After he had checked the cassette carefully, he bought it
5. She avoids meeting him
6. After taking two  aspirins, Kate felf a lot of better

hoặc

After Kate had taken two aspirins, she felf a lot of better
7. Before Sheila went out for the evening, she had washed her hair