A puzzle with pictures and words is a rebus.
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Rebus
If you mean a puzzle that's just a picture, cut into pieces, that's a jigsaw puzzle. If you mean one where you have pictures and maybe some letters with + and - signs, that's a rebus.
The answer is REBUS
Some of the most popular puzzle games include Sudoku, Scramble, picture puzzle, crossword puzzle, grid puzzle, rebus, marbles, Chinese puzzle and many other games and variations of the mentioned ones.