Things did not go as smoothly for D-backs starter Yoan Lopez, who allowed five runs on five hits in three innings, striking out two against two walks.
The Brewers got on the board in the second inning when Elian Herrera doubled home Gerardo Parra, and they broke things open with a four-run third. All of the runs came after Lopez retired the first two batters.
Things really got ugly for the D-backs in the fifth as the Brewers sent 11 men to the plate and scored seven runs to go up, 12-0.
Brewers shortstop Jean Segura went 3-for-4 with a double and three RBIs, while Scooter Gennett went 2-for-4 with two RBIs and two runs scored.
"Another good day. A lot of great at-bats," Brewers manager Ron Roenicke said. "You always hope you get it going sometime, and the last week we've been pretty good. Hopefully that continues. We know offense is down in baseball, and it's because the pitching is so good. So when you get it, you just enjoy it and hope it lasts a long time."
Roenicke was especially impressed by Blazek.
"Outstanding," Roenicke said of Blazek. "Good fastball, good breaking ball. He's really throwing the ball well. The first at-bat [Paul] Goldschmidt had off him, if you make that guy look bad, you've got some really good stuff. Now, [Goldschmidt] came back with a walk the next time, but that was really good."
A.J. Pollock, Ender Inciarte and Blake Lalli were the only D-backs starters with hits, recording one each.
Up next for the Brewers: Ryan Braun and Aramis Ramirez will return to the lineup and right-hander Jimmy Nelson will take the mound when the Brewers host the A's at Maryvale Baseball Park on Wednesday at 3:05 p.m. CT. Braun started the spring in an 0-for-13 funk but now has a hit in four straight games, including a pair of home runs.
Steve Gilbert is a reporter for MLB.com. Read his blog, Inside the D-backs, and follow him on Twitter @SteveGilbertMLB. This story was not subject to the approval of Major League Baseball or its clubs.