Question 7 is a dangling modifier.

#6 should read "Travelling to Anchorage, I found that the weather got colder and colder." #2 is technically correct, but sounds a little strange. "We decided to run through the forest" sounds better to me, but, of course, it is past tense. Otherwise, you're great! Nice work.

8 sounds better to me as I can’t stand eating at busy restaurants. Original is ok though.

I echo Tom's comments, but would add that #7 sounds a little strange. "Whilst driving home in yesterday’s storm, a tree fell on the back on my car." sounds a bit better. Otherwise you seem to have a better grasp of verb tenses than some native speakers I know :-)

# 8 is ambiguous, and almost certainly wrong. 'I can’t stand to eat at busy restaurants ' is actually a grammatically correct sentence, if we understand it to mean 'I am not able to stand up while I am eating in busy restaurants.' However, I am pretty sure that this is NOT the intended meaning. This sentence is actually testing the phrase 'I can't stand' + gerund, which has a similar meaning to 'I can't bear' ie it's something I really hate doing. The correct answer should therefore be 'I can’t stand eating at busy restaurants ' I am almost certain that this is the structure which your teacher wants to test. #2 and # 6 : I agree with Tom #7 I agree with the three other members that there is a problem with this sentence which is not your fault. There is a 'mismatch' between the main sentence ( a tree fell) and the participle phrase which is modifying it (Driving ...) . These two parts of the sentence need to have the same subject, but they don't. You were driving, but the tree fell. As Peachey said, this sentence suggests that the tree was driving! 'When I was driving ...' would be more correct. However, if your teacher gave you this sentence, then I guess you can't change it.