Van Slyke took Bruce Chen deep in the second inning, his first home run of the spring and one of two hits on the day for the right-hander, who played first base.
Carson, Yucaipa High School's finest, hit a grand slam in the eighth inning to break open a close game.
For another Dodgers starting pitching newcomer it was more of the same, with Anderson keeping the ball on the ground and needing only 35 pitches to get threw three scoreless innings. Anderson two hits and a walk on Saturday while striking out two.
"Brett was good again. We feel like there is no question about his stuff, it's just a matter of him being out there," manager Don Mattingly said. "This spring has been a picture of health for him, and everything has been on track."
In two spring starts Anderson has induced 11 ground outs and zero fly outs.
"He throws a ground ball but he throws a good breaking ball and gets the ball to both sides of the plate with a variety of pitches," Mattingly said. "He's a handful for hitters. Really good."
Adams on the mend
Mike Adams made his Dodgers spring debut in relief of Anderson in the fourth inning and struck out his first batter faced. But two walks and an RBI single later was pulled after 23 pitches and two outs.
"I thought Mike was okay," Mattingly said. "He just tried to bury the breaking ball and left it up."
It was the just the seventh time Adams pitched in a game, major or minor league, since the beginning of last June, sidelined for three months with inflammation in his surgically-repaired right shoulder.
"I feel good," Adams said. "I'm building my body back up. Knock on wood."
Jimmy Rollins doubled home a run in the fourth inning against Chen, the first extra-base hit batting right-handed for Rollins this spring. Rollins also has a triple and a double this spring batting left-handed.
Justin Turner was 1-for-2 with a double, his third straight game with a double.
J.P. Howell pitched a perfect fifth inning in his first game in eight days.
Enrique Hernandez started the day 1-for-20 in Cactus League play put was 2-for-2 on Saturday and played the final four innings at shortstop.
The Dodgers head north to Peoria to face the Mariners. But while Felix Hernandez throws to minor leaguers on the back fields, the Dodgers will instead face Roenis Elias. Clayton Kershaw starts for the Dodgers, his third start of the spring.