These 50 challenging algebra problems involve applying a variety of algebra skills. The exercises come with a good range of difficulty from milder challenges to very hard problems. On the page following each problem you can find the full solution with explanations. * quadratic equations * system of equations * cross multiplying * factoring and distributing * the f.o.i.l. method * roots and powers * fractions and negative numbers * slopes and y-intercepts of straight lines * word problems * applications