Very good possiblity that it's something simple, but it wouldn't be a good idea to speculate without having you first run a diagnostic scan. OBDII compliant vehicles such as yours will tell you exactly the reason for the engine light. Rent, borrow or buy a code reader that gives you the option to read and clear diagnostic codes. If it's a misfire error code you can clear it and see if it comes back. If it's something simple like a throttle position sensor, MAP sensor or Oxygen sensor you can easily solve the problem, but recognize that some of the newer Oxygen sensors might be a little expensive. Check the code first then figure out what to do to fix it. This is what happened to my wife last weekend. It was caused by the fuel cap not being on properly. Check the fuel cap and make sure that it is on securely (tighten until it makes the clicking sound). The "check engine" light will not go out right away. I think the owners manual has a section on this problem. If it's not the fuel cap, then you will need to get the code reader.
Did u check your enigine cooling fan?
check this site out
ets and check engine light on in 98 Chevy cavalier
yea it means your either overheating or running out of gas
could be the oxygen sensor. that's what it was on mine.
No, only a problem that effects emissions will set the check engine light.
Really have to know what year the car is because these problems vary from year to year.
check engine oil for water and check radiator for oil
Locate dipstick at rear of engine between motor and firewall, usually has a red handle. With motor running and hot read the marks on the dipstick.
If it is easy, your gas cap is not on correctly.
Check for vacuum leaks.
Check the fan relay for the 1996 Cavalier. Also, check the coolant sensor, one of these is most likely bad.