Ответ:

  1. Connor didn’t live up to his parents’ expectations and failed to get a place at university. — Live up to expectations означает «оправдать ожидания».
  2. After her father walked out of his job, the family moved house. — Walk out of здесь означает «бросить, уйти с».
  3. That child doesn’t fit in with the rest of the class because he prefers to play on his own. — Fit in with означает «вписываться, ладить с группой».
  4. When Amy agreed to sign up for a job as a waitress, she didn’t think it would be such hard work. — Sign up for значит «записаться на».
  5. My brother is always making ambitious plans, but he never goes through with them. — Go through with означает «довести до конца».
  6. He’ll never catch up with the other runners because he’s much slower than they are. — Catch up with означает «догнать».
  7. I couldn’t put up with the heat any longer, so I went out and bought a fan. — Put up with означает «терпеть».
  8. She couldn’t finish the exam because she had run out of time. — Run out of означает «израсходовать, остаться без».
  9. My little brother and I don’t get on with each other. — Get on with означает «ладить».