Prepping Garage Slab for flooring

[Augustwest]

I moved this from Engineered flooring as my post got a lot of views but no responses. Thanks in advance for any info you can provide.

We are in the middle of converting a garage into a living space. Concrete slab floor approx 300 square feet. Thinking about pergo or some kind of engineered flooring as fearing tile would be too cold. Slab is dry and smooth. However in the north and east walls of the perimiter of the garage there is cinderblock that the framing sits on that is slightly higher then the slab in the NE corner of the room. The block is level with itself, but there's a lip 1/2 - 5/8" higher then the slab that tapers down to level with the slab as you move away from the north wall.

Before we think about flooring we are thinking we need to address this. Just not sure how. Would we be best suited to use some Ace High Bond Cement and try to level it from the NE corner out feathering where it comes level? Or should we use some sort of self leveling compound? My only other thought was to take a 7" grinder to that 2" of cinderblock as it's only about 12 or 13 feet from the corner that is raised before it becomes level with the slab. Since the slab is level and in good shape, I am not overly concerned with potential slant. Should I be? Thanks. AW

[BridgeMan45]

You will kick yourself over time if you try to put finished flooring on a sloped, concrete garage floor. It will always be cold, and the slope will make your taller furniture look like it's leaning towards where the garage door used to be. Better to match the grade of the adjacent house by installing tapered floor joists, with adequate insulation in between them, followed by 3/4" plywood (T&G) subfloor and then finished floor.

Do it once, do it right.