The bridge year, one rung at a time - with the review built in.
Pre-algebra is where arithmetic becomes algebra, and this book climbs that bridge in order: negative numbers first, then the order of operations and expressions, then equations and inequalities, then ratios, percents, powers and the coordinate plane - a ladder of 80 short practice sets and 2,761 problems where every rung is a small step up from the one below it, with a placement check at the front so nobody starts in the wrong place. Nothing learnt in September is gone by March. From Stage 2 on, the bottom half of every practice page revises the stages before it, so negative numbers are still being added while percents are being learnt. Every rung opens with a one-line tip, and every stage with a worked example and a QR code to fresh printable practice. Not one shape of question. Story problems once a stage, true-or-false and spot-the-error pages, like terms to collect, inequalities to solve and graph, points to read off a grid, sequences to continue, scientific notation, GCF and LCM - and four puzzle breaks: magic squares with negatives, missing signs, crack-the-code equations, percent chains. The last practice page is a 25-question Ready for Algebra 1? check, one question of every kind in the book. An answer key you can trust, by construction. Every one of the 2,761 answers was computed together with its problem and independently re-checked by a separate program before printing, and the four Check Yourself pages are worked through line by line at the back, so a wrong answer can be traced to its step. Inside: