Blowing, drifting snow and black ice created hazardous driving conditions on interstate and other highways in Box Elder and Cache counties early Tuesday.

And much of the rest of the state will be hit with a cold winter storm beginning Tuesday night and continuing through most of the rest of the week, according to the National Weather Service."It looks like the whole North Pole will be dumping cold and very wintry conditions on Utah," William J. Alder, meteorologist in charge of the Salt Lake office of the National Weather Service, said early Tuesday.

A blowing-snow advisory was posted for Cache Valley and Box Elder County, where truckers and other motorists were having difficulty traveling or were stopped because of poor driving conditions along I-84 northwest of Tremonton.

Driving conditions were also poor along I-15, from Tremonton north into Idaho.

Roads were also hazardous in Cache County, particularly the west side of the valley, the Utah Highway Patrol reported at 6:45 a.m.

"Vehicles are off the road in a number of areas of the county," a patrol officer said. He said the wind was blowing heavily and it was snowing in Sardine Canyon.

High winds and icy roads forced the closure of I-84 from the Idaho border to the Cotterel port-of-entry station. There was at least one rollover involving a semitrailer truck west of Tremonton. Apparently no one was injured in the accident, which occurred shortly after 3 a.m. west of Tremonton on I-84, a law enforcement dispatcher said.

Alder said the storm system is expected to move south into other parts of northern and central Utah by Tuesday night.

Two to 4 inches of new snow is forecast along the Wasatch Front and in a number of other areas of the state Wednesday. The mountains should receive a foot or more of new snow Wednesday, Alder said. Forecasters said there is a "100 percent chance of snow."

Alder said, "It will be bitterly cold by the end of the week. Even St. George will receive snow by Wednesday afternoon or evening."

Temperatures should be in the upper 30s Tuesday and in the lower 30s Wednesday. By Friday or Saturday, daytime temperatures aren't expected to be much above 20 degrees.