This worksheet has 16 absolute value inequality problems. It also has 2 worked out examples at the top of the worksheet for a guide to the students.
I actually use it as a way for them to raise up their test grade. For each 2 problems they get correct, I will raise their grade 1%. After each test they have the opportunity to raise their test grade by doing extra problems. I only allow them to have one of the worksheets at a time and when they complete it I grade it and go over it with them if there is still some misunderstandings. I have found that it works great because the students that truly care about understanding the material will do these worksheets. This is helpful because a lot of the time when I try and go over a test in class, students lose focus and are uninterested. This way I don't spend time in class going over the test and I don't get frustrated with them not taking advantage of the reviews.