Washington (1-1) finally scored a touchdown with 12:20 left in the fourth quarter when Dwayne Haskins hit Terry McLaurin for a 24-yard score.
The Cardinals' revamped defense had a big day, holding Washington scoreless until Dustin Hopkins hit a 24-yard field goal late in the third quarter.
Murray's pass into coverage was picked off by Landon Collins, giving Washington great field position at the Arizona 19.
He was completely alone in the back of the end zone on third down and Murray hit him for the 4-yard score to make it 7-0.
... Washington right guard Brandon Scherff (knee) was hurt just before halftime and gingerly walked off the field with the help of medical staff.