To determine how many hours Christiana should work in order to make $130 for her car insurance, we first incorporate her tip from hosting the birthday party.
Christiana receives an $18 tip, so she needs to make the additional amount after receiving this tip:
\[ 130 - 18 = 112 \]
This means she needs to earn $112 from her hourly wage at the roller-skating rink. Given that she makes $14 per hour, we can find the number of hours she needs to work by setting up the equation:
\[ 14h = 112 \]
where \( h \) represents the number of hours she needs to work. To solve for \( h \), we divide both sides by 14:
\[ h = \frac{112}{14} = 8 \]
So, Christiana should work \(\boxed{8}\) hours to cover her car insurance after accounting for her tip.