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The sequence of this book is a little different than most algebra books. Jacobs starts off with one of those "Think of a number" puzzles, and shows with diagrams how it works, and then translates it into algebraic notation. This is the point of algebra: How do you say with numbers what you can diagram? This leads quite naturally into Cartesian coordinates and a discussion of some basic functions. Exponents, polynomials, factoring and quadratic equations follows a full treatment of linear equations and systems.
I use this book with homeschooled students, because they can actually take it home and study it. The homework problems come in four sets. Set I is review problems. Set II applies to the lesson and has all the answers in the back of the book. Set III is similar to Set II problems, but does not have the answers in the book. Set IV is some logic puzzles and brain teasers for students who love math. Answers to sets other than Set II are in the teacher's guide to Elementary Algebra, along with some wonderful extra material and teaching suggestions. Amazon, why don't you carry the transparencies for this text?
I highly recommend both this and Harold Jacob's text on Geometry, a good, old-fashioned approach to Euclidean geometry and proofs. Enjoy! Really.