Although it’s not a textbook, I would highly recommend the REA Problem Solver for Algebra and Trigonometry. Most textbooks provide you with a few examples and then give you a long list of problems to solve. The first few problems are easy enough to solve because they’re similar to the examples. But the problems you find further down in the list look nothing like the examples - they’re much more complicated, often requiring you to do things the textbook has never discussed before. Unless you’re a natural mathematician, the extra steps you need to solve these problems aren’t intuitive, and no amount of effort on your behalf is going to solve the problems.
The Problem Solver series is designed to help students by providing them with examples for all of the types of problems found in the textbook - from the simplest forms of equations to the most complex. It’s designed to be used with any textbook, so it will be useful regardless of which textbook your daughter is using. It’s an especially valuable tool if your daughter is going to be doing any self-studying in addition to her normal coursework. REA has a Problem Solver for just about every math class you can take in high school or college. I know the Calculus and Advanced Calculus Problem Solvers were a huge help for me in college.