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