Recommendations for algebra practice books with answers include "Higher Algebra" by Hall and Knight and "Elementary and Intermediate Algebra" by M. Dugopolski, both noted for their comprehensive content. The book "Glencoe - Algebra 1-McGraw-Hill" was highlighted as a suitable option for simpler needs. Additionally, Khan Academy is mentioned as a valuable resource, offering a wide range of worked-out problems and quizzes for further practice. The discussion emphasizes the challenge of finding textbooks that provide answers to exercises, as many good textbooks typically do not include them.