Ten completing-the-square problems with a worked answer key.
Scroll to see all 10 problems and the answer key on its own page. Printing includes every page.
Students complete the square to rewrite a quadratic — the move behind the quadratic formula and vertex form. Numbers keep the perfect-square step clean so the method stays visible.
Focus on the coefficient of the linear term: halve it, then square that half. When rewriting an expression, adding that square must be balanced by subtracting it so the expression keeps the same value.
Students shaky on the skill itself? Send them to the free lesson: Completing the Square — explained step by step.
Want this in multiple choice? Harder numbers? 30 versions?
Built for math teachers. Andy generates custom worksheets across Pre-Algebra, Algebra 1, Geometry, and Algebra 2 with exact answer keys.