Solving quadratic equations worksheets with answer keys

Solving quadratic equations by factoring and applying the zero-product rule. Algebra 1. Every sheet prints with a matching answer key, and every sheet is generated fresh — so you can hand out a different one each time without writing it yourself.

Generate a solving quadratic equations worksheet →

What the problems look like

Three real examples at each difficulty, with answers.

Easy

• Solve: x² + 7x + 10 = 0 → x = -5 or -2
• Solve: x² + 2x − 3 = 0 → x = -3 or 1
• Solve: x² + 4x + 3 = 0 → x = -3 or -1

Generate a full easy solving quadratic equations worksheet →

Medium

• Solve: x² − 5x + 6 = 0 → x = 2 or 3
• Solve: x² − 10x + 25 = 0 → x = 5
• Solve: x² − 4 = 0 → x = -2 or 2

Generate a full medium solving quadratic equations worksheet →

Hard

• Solve: x² + 4x − 45 = 0 → x = -9 or 5
• Solve: x² + 13x + 30 = 0 → x = -10 or -3
• Solve: x² − 7x − 30 = 0 → x = -3 or 10

Generate a full hard solving quadratic equations worksheet →

How to use it

• Pick a difficulty above and hit generate — you get 20 problems instantly.
• Toggle the answer key on or off before you print.
• Hit “New problems” for a completely different sheet on the same skill.
• Every sheet has a permanent link, so you can reprint the exact same one next year.
• No signup, no ads on the printout. Pro ($19) raises the cap to 60 problems and prints A–F differentiated versions in one go.

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