Graeme saw his tournament come to a premature end after missing the cut at the Valero Texas Open, he shot rounds of 74 and 75 to bow out on +5.
Graeme, who started on the 10th tee, bogeyed his second hole but got the shot back at the 14th to leave him on even par heading onto the front nine.
He started that with a bogey before a double bogey at the fourth sent him tumbling down the leaderboard.
The Portrush man birdied the eighth but a closing bogey saw him end the tournament on three over.
It was a rough opening day for Graeme after a two-over 74. The former US Open Champion – who strained his back at last week’s Corales Puntacana Championship – opened with a birdie at the par-five second but couldn’t capitalise on that momentum and saw bogeys fall at the fifth, seventh, ninth and 15th, although he did recover a late shot at the par-five 18th.