The problem states that there cannot be any rings (non-cyclic constitutional isomers), so we know there must be 1 double bond in this 4-carbon molecule.
Here are the bond-line formulas of the 4 non-cyclic constitutional isomers of C4H8:
Clockwise from top left: trans-2-butene, but-1-ene, 2-methylpropene, cis-2-butene