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If it's an even number of stitches, you'd just repeat k1p1 across for rows 2-10. When you turn after row 1, that last purl stitch will look like a knit stitch at the beginning of row 2. (If it's an odd number of sts, yes you'll change to p1k1.)
Really the best way to learn this is to look at the stitches and if the next stitch looks like a V, knit it and if it looks like a bump or loop, purl it.
Take it slowly and repeat k1p1 all the way across the row and you should be fine.