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.

• Test or review your algebra skills.
• Challenge advanced or gifted students.
• Learn by comparing your answers to the full solutions.
• See how fluent you are with algebra.
• Apply algebra skills outside of the usual context.
• 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