50 Challenging Algebra Problems

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