'Who invited you to the party?' Mike asked.
Mike asked who had invited me to the party.
'I haven't spoken to Susan since last week,' Mary said.
Mary said she hadn't spoken to Susan since the previous week.
'What were they doing in New York?' she asked.
She asked (me) what they'd been doing in New York.
'We're leaving tomorrow,' they said.
They said they were leaving the next/following day.
'I bought my trousers in the sales,' she told me.
She told me she had bought her trousers in the sales.
'I won't tell anybody,' he told me.
He told me (that) he wouldn't tell anybody.
'What time are we meeting?' I asked her.
I asked her what time we were meeting.
'Don't start!' the teacher told them.
The teacher told them not to start.
'You must turn off the alarm first!' he told me.
He told me I had to turn off the alarm first.
'I can't remember your name,' he said.
He said (that) he couldn't remember my name.
'Do you like your present?' she asked me.
She asked me if I liked my present.
'Please help me!' the old woman said to us.
The old woman asked us to help her.