Albie Morgan opened scoring for the Seasiders in the 24th minute with a low-driven shot from the edge of the box finding the bottom corner.
The advantage was soon doubled by Rob Apter, with the winger finishing on the rebound after an initial attempt from Kyle Joseph was saved by Joel Pereira.
Just before that, the Royals keeper had also denied Ashley Fletcher – who saw his header from close-range pushed onto the post by the fingertips of the 28-year-old.
After the break, the striker eventually got his rewards for a big shift, with a goal from close-range coming from further good work by Joseph.
Here’s how the Seasiders’ performed against Reading:
7. Rob Apter- 9
Rob Apter was electric for Blackpool down the right, and forced Joel Pereira into the first save of the game after one of his weaving runs past a number of defenders. His goal eventually came later in the second half, finishing on the rebound after an initial shot from Kyle Joseph was saved. Photo: CameraSport - Lee Parker
8. Albie Morgan- 8
Albie Morgan opened the scoring with a great strike from the edge of the box. Photo: CameraSport - Lee Parker
9. Lee Evans- 8
Lee Evans put a number of dangerous balls into the box for Blackpool throughout the game. Photo: CameraSport - Rich Linley
10. Josh Onomah- 6
There were some promising moments again during the first half, but due to injury he was forced off before the break. Photo: CameraSport - Lee Parker
11. Kyle Joseph- 9
Kyle Joseph forced Joel Pereira into the save that led to Apter's goal. As usual the striker put in a big shift up front and was part of a sharp attacking performance. Especially with his hold up play. Photo: CameraSport - Lee Parker
12. Ashley Fletcher- 9
Ashley Fletcher was denied just before Blackpool's second goal, with Joel Pereira getting fingertips onto a headed attempt from close-range. On the back of Shrewsbury, it was another big shift from the forward, and he eventually got his reward in the second half. Photo: CameraSport - Lee Parker