I need to build a wall on a basement floor. The wall will need to support significant weight so I want it to be solid. The sole plate will be secured with concrete screws. The floor is a slab; it is bumpy and slightly sloped where the sole plate will be. A 2x4 rocks. The gaps are up to 1/4 inch.
How do I put down the sole plate flat, level, and solidly supported? I don't want to feather patch or SLC a large area. I don't want to grind down the bumps, they are too wide. Can I flatten a strip just under the plate with mortar? Press the plate in place into a wet layer of mortar like setting a bathtub? Bound off a 4 inch strip and pour self-leveling compound?
The slope is across the plate, not along it, so the plate is rolled slightly. The bottoms of the studs would have to be cut at an angle but all the studs will be the same length.