Hold'em table

Q6 offsuit from the button facing a raise-and-call situation is weak; folding preserves chips for better spots.

54o is too weak to complete or raise out of position against the big blind after the button folds, so I give up the 50 already posted.

K9o is a standard button open in three-handed play; a 2.5bb raise takes the initiative and can win the blinds or continue profitably.

45 offsuit is far too weak to call 200 more against a button raise, and 3-betting this hand has little fold equity or postflop playability. Folding preserves chips for better spots.

AK offsuit is a premium hand heads-up against a button raiser; 3-betting for value builds the pot and can win it outright.

K9o is too weak to continue against a BB 3-bet; calling risks domination and a 4-bet bluff is poorly constructed.

Cheap price to see a flop heads-up against the big blind with suited Queen-high; not strong enough to raise but good pot odds to call.

K5 offsuit is too weak to raise for value against the small blind's limp, and checking keeps the pot small while realizing the hand's limited showdown value.

Weak hand with just a backdoor flush draw and no pair, no reason to bet into two players out of position.

King-high with no pair or draw has little value as a bet, and the small blind already checked a dry flop. Checking keeps the pot small and realizes whatever showdown value remains.

No pair or draw with Q-high, board is ace-high and dry; checking to see a free river is best given both opponents have checked twice.

King-high with no pair, draw, or relevant blockers on an ace-high board. Checking back keeps the pot small rather than bluffing into a player who has shown no aggression.

My hand only makes two pair via the board pair of tens with A/Q kickers; with the passive action on flop and turn I'll check back and take a cheap showdown rather than risk a check-raise from a better ten or ace.

King-high has little showdown value and no credible value bet on this paired ace-high board. Checking avoids turning a tiny pot into a losing bluff.

Weak offsuit-ish speculative hand (9-3 suited) on the button facing a raise-free limped pot isn't worth building a pot with; folding preserves chips for better spots.

K8 offsuit is too weak to call or raise out of position against the big blind after the button folded, so I give up the small blind.

K4s is a standard button open in three-handed play; a 2.5bb raise takes the initiative with a suited king before the blinds act.

K6 offsuit out of position against a button open-raise is dominated by most of his raising range; calling 200 more or 3-betting with this hand is -EV, so folding is clearly best.

J7 offsuit facing a raise is weak; folding is cheap and preserves chips for better spots.

AJ suited is strong heads-up after button folded; raising to build the pot and isolate the big blind.

Q4o is too weak to continue against a 3bb small-blind raise heads-up; the hand has poor equity and little playability, so folding is the highest-EV option.