Repair or replace your concrete patio
A slab cracks where the ground under it moves unevenly, and one contractor's guide points out that patches stay visible because matching aged concrete is effectively impossible. If the cracks are few and the slab still drains away from the house, sealing them can make sense. If it has sunk or tips toward your walls, a patch won't fix the slope, so I'd tear it out and rebuild from the base.
What shapes the cost of a concrete patio
Size and shape come first, then the dig-out and base, how far the concrete has to travel to reach your yard, and the finish. Colored or stamped work costs more than a broom finish, and extras like steps or tying in a concrete sidewalk add to it. When the budget's tight, people want to trim the base because nobody sees it. I'd cut the finish first, since you can't fix a base later without tearing the patio out.