English has specific short forms for agreeing and disagreeing with statements — "So do I", "Neither do I", "Me too". These short responses depend on whether the original statement is positive or negative and whether it uses an auxiliary verb or a main verb. Getting them right makes your conversation sound natural and fluent.
A short answer of this kind copies the auxiliary verb from the statement you are replying to and puts it in front of the subject.
Open with So to agree with a positive statement and with Neither (or Nor) to agree with a negative one: “I'm tired.” — “So am I.”; “I don't drive.” — “Neither do I.” If the statement has no auxiliary of its own, borrow do, does or did to match its tense ('I live in Boston.' — 'So do I.'; 'I went to the beach.' — 'So did I.'); otherwise keep the one it already uses — am, is, was, have, had, can, will, would. To disagree, drop So and Neither and simply flip that same verb: “I love classical music.” — “I don't.”; “I'm not ready.” — “Actually, I am.”
Use So + auxiliary + subject to agree with a positive statement
My brother has already finished the report. — So has Sarah.
Use Neither + auxiliary + subject to agree with a negative statement, and leave out not, because neither is negative already
She can't swim. — Neither can her brother.
Use Nor in place of Neither for the same agreement in more formal or written English
I never check email after nine at night. — Nor does anyone on my team.
Use Me too and Me neither in casual speech, where no auxiliary is needed at all
I don't like cold weather. — Me neither.
Disagree by flipping the same auxiliary, with no So or Neither in front of it
I'm cold. — I'm not. I'm actually warm in here.
Treat a statement built on hardly, rarely, seldom, few or never as negative, even with no not in it, and agree with Neither or Nor
I'm rarely impressed by fancy restaurants. — Neither am I.
Practice
"I like getting up early." — "I. I hate mornings."
"I wasn't at home last night." — "" (agree)
"My apartment isn't very big." — "Neithermine."
"I can't cook." — "NeitherI."
"I don't like spicy food." — " I love it."
"My parents are on vacation this week." — "Somine."
"My neighbors leave their lights on all night." — " the people across the street."
Put the words in the correct order to agree with: "I don't drink coffee."
"Tom can't drive." — " his wife."
Put the words in the correct order to agree with: "My brother doesn't eat fish."