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Solving Quadratics Using the Quadratic Formula – Unique Rational Roots Worksheets: Help your students master the Quadratic Formula with this focused set of word and numerical problems designed specifically for equations that yield one unique rational solution. Using the standard formula.
Students will practice identifying coefficients, calculating the discriminant, and simplifying to a single rational answer.

Perfect for reinforcing the connection between the discriminant and the type of solution, this resource builds conceptual understanding and algebraic fluency.

What’s Included:

20 Worksheets quadratic equations with one unique rational solution

Step-by-step examples showing full substitution into the formula
Visual guide to identifying a, b, and c
Fully worked answer key with boxed final answers

Skills Covered:
Applying the quadratic formula accurately
Simplifying square roots of perfect squares
Identifying when a quadratic has a single rational root
Interpreting results in context

Perfect For:
Grades 9–11 (Algebra I, Algebra II)
Students learning quadratic methods for the first time
Test prep for state exams, SAT, IGCSE, or GED
Independent practice, homework, or review lessons

Key Features:
Easy-to-follow steps with consistent formatting
Focused exclusively on unique rational root cases
Supports algebra standards involving quadratic equations
Worksheets are made in 8.5” x 11” Standard Letter Size. This resource is helpful in students’ assessment, Independent Studies, group activities, practice and homework. This product is available in PDF format and ready to print as well. AI is used in some parts of the product, where deemed necessary.