Isotonic, hypotonic and hypertonic
Cells in isotonic solutions do experience osmosis, but water diffuses into and out of the cells at the same rate. Cells retain their normal shape.
Cells in hypotonic solutions experience osmosis. Water moves through the plasma membrane into the cell and the cell swells. Animal cells may continue to swell until they burst and plant cells swell beyond their normal size as pressure increases, but they don't burst.
Cells in hypertonic solutions experience osmosis. The water flows out of the cell and the cells get smaller. Animal cells shrivel up and plant cells lose pressure as the plasma membrane shrinks away from the cell wall.