Hold'em table

Pocket threes on the button in 3-handed play is a strong hand; a 3x raise builds the pot and puts pressure on the blinds.

8-4 offsuit is a weak hand facing a raise and a call ahead, not worth continuing.

A5s has an Ace blocker and excellent playability; 3-betting from the BB puts maximum pressure on the button's wide opening range.

Pocket threes are a set-mining hand with decent equity against a big-blind 3-bet. Calling 800 more to win a pot of 2250 is a good price, and a 4-bet bluff would risk too much with a weak hand.

I have top pair with a weak kicker on a coordinated board. Checking out of position controls the pot size and protects my checking range.

Pocket threes on an Ace-high board is a weak showdown-value hand. The big blind 3-bet preflop and then checked, so he may be trapping or giving up. Checking back keeps the pot small and lets me see a free turn card.

Holding top pair with a weak kicker and no heart on a three-flush board, checking controls the pot and allows us to evaluate river action.

A pair of 3s is weak on an A-J-9-6 board with two hearts. It can only beat a bluff, so betting gets called by better hands and folds out worse ones. Checking back keeps the pot small and gives me showdown value.

I have top pair with a weak kicker on a coordinated board; checking allows me to realize showdown value without bloating the pot or getting raised.

Pocket threes on a 9-A-J-6-K board is a weak showdown hand. The opponent checked every street, so it may still be ahead, and a bet would only get called by better hands. I'll check and take the free showdown.

9-6 offsuit from the button facing a raise isn't strong enough to continue profitably in a 3-handed pot.

J8s is a premium candidate for an open raise in a blind-versus-blind scenario to seize initiative and apply pressure.

32 suited is one of the weakest hands, and calling 200 more out of position against a small blind 3-bet-sized raise has poor value. Folding is the safest option.

J8o is slightly too weak to open profitably from the button even in 3-handed play.

A6 suited-ish ace (offsuit) heads-up against the big blind after the button folded is a strong enough hand to raise for value and initiative; a 3x raise from the small blind is standard.

9c6s offline on the button is a weak hand that plays poorly postflop out of position against two opponents, so folding is the simplest choice.

Button folded, heads-up vs BB with Ace-high; raise to isolate and build pot with a reasonable hand.

J4s is too weak to comfortably defend against a 3x open from the small blind, despite being suited.

Suited ace on the button is a profitable raise to build the pot and take initiative against two limpers/blinds.

QJo plays poorly out of position from the small blind against a button open with the big blind still left to act, making folding the most prudent play.

3h5d is a weak offsuit hand. Calling 150 more to win a 400 pot would be about 27% equity needed, and I'd be out of position against a button raiser, so folding is fine.

54 offsuit is too weak to open even from the button in 3-handed play.

9-4 offsuit is a weak hand. Heads-up against the big blind, calling 50 more is cheap, but I would be out of position with poor equity for the rest of the hand, so I fold.