Use a moisture meter - the ground BELOW the sod has to be moist so the roots will grow into it.

Was it brown around the edges like that or did it get that way after putting it down? When my sod was first put down we ran the irrigation system for 1/2 hour twice per day if I recall. That was nearly an inch of water every day. Maybe overkill, but we had no rain for a good month, yet none of the sod browned out around the edges. I did lose two or three individual sections that had to be replaced.

Live in Utah. I believe it's Kentucky Bluegrass. They actually didn't tell us how to water. I have been watering 20 minutes 3 times a day. Temps have been low to high 90's. I did not roll the sod. It's been 7 days since I laid it.

Sod loses something like 80% of its root system when it is harvested from the sod farm, so it is under stress from the start. Laying sod at the beginning of summer is tough. Normally you'd do it in the fall. Was the sod all green when you put it down and now the edges are turning brown, or was it like that when you put it down?

Also, the soil in your last photo looks way too dry. The sod needs to be damp underneath nearly all the time for it to start knitting itself into the new soil.

Utah. That narrows it down a little. St Georgeish or Salt Lakeish? If you live in the south you have no business growing KBG or fescue...unless you have unlimited water. Even in the north you're going to be fighting with arid conditions drying the soil.

The close up pic of the soil does not look like it was watered recently. Do you have any problems with run off when you water? If you were to water it for 3 hours would there be run off?

I very rarely say this, but you are a prime candidate for a soil test from Logan Labs ($25). I have a feeling the test will show issues with the micro nutrients. I'm thinking high sodium levels from sodium carbonate with possible excess boron issues.

Here is something to think about. bpgreen used to be active on this forum. Before he left he posted about his experience growing prairie type grasses in the Salt Lake City area. He started with KBG and into that he seeded western streambank, crested wheatgrass, blue grama, and strawberry clover. Here's what it looks like when seeded heavily and watered and mowed once a month.