In a displacement reaction, a more reactive element replaces a less reactive element from a compound.
A + BX \(→\) AX + B, where A is more reactive than B.
For example: Displacement reaction: CuSO4(aq) + Zn(s) \(→\) ZnSO4(aq) + Cu(s)
In a double displacement reaction, two atoms or a group of atoms switch places to form new compounds.
AB + CD \(→\) AD + CB
For example: Double displacement reaction: Na2SO4(aq) + BaCl2(aq) \(→\) BaSO4(s) + 2NaCl(aq)