Word formation, upper

The noise was keeping everyone________. (to awaken)

He was kept in custody for his own________. (safe)

Stores are getting ________ after two years of poor sales. (despair)

I could see the ________ in her eyes. (believe)

She stumbled to the door________, rubbing her eyes. (sleep)

They had begun to ________ of ever finding the right road. (desperate)

She dismissed the newspaper reports as pure________. (speculate)

A _______ smile crept over his face. (dream)