50 Challenging Algebra Problems (Fully Solved)

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