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The discriminant of a quadratic equation worksheet (with solutions)

The discriminant of a quadratic equation worksheet (with solutions)

Subject: Mathematics

Age range: 16+

Resource type: Worksheet/Activity

Last updated

7 July 2026

pdf, 133.03 KB
pdf, 133.03 KB

A worksheet on the discriminant of a quadratic equation. The exercises include evaluating the discriminant of given equations, determining the number of real solutions of given quadratic equations and deciding whether the discriminant of a quadratic equation is positive, negative or zero by the corresponding graph. Solutions are provided.

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Discriminant of a Quadratic Equation Worksheets | Algebra 1 No Prep Activities

A collection of three worksheets on the discriminant of the quadratic formula. In the first worksheet the exercises require to evaluate the discriminant of given quadratic equations. In the second worksheet the exercises require to examine whether a given quadratic equation has a solution and the number of solutions if they exist using the discriminant. In the third worksheet the exercises include evaluating the discriminant of given equations, determining the number of real solutions of given quadratic equations and deciding whether the discriminant of a quadratic equation is positive, negative or zero by the corresponding graph. Detailed solutions to all worksheets are provided. Finding the discriminant is the secret shortcut to understanding quadratic equations. This print-and-go packet takes students step-by-step from calculating values to visualizing how the discriminant relates to actual graphs. Whether you need a quick review, independent practice, or a structured cover lesson, this resource saves you hours of planning time. **What is Included in This Bundle?** * **Calculating the Discriminant Worksheets:** Targeted problems focusing entirely on using the standard formula with varying levels of difficulty. It includes equations with missing terms to truly test student understanding. * **Number of Real Roots Practice:** Practice pages where students analyze their calculated discriminant to state if the equation has two real roots, one real root, or no real roots. * **Graphing and Parabolas Visual Sheets:** Visual matching sheets where students examine graphs of parabolas to determine if the discriminant is positive, negative, or zero based on x-intercepts. * **Complete Answer Keys:** Fully worked-out solution pages for every single section to make marking or student self-checking a breeze. **Why Teachers Love This Resource** * **No-Prep Printables:** Just print and you are ready to teach! * **Step-by-Step Learning:** Moves smoothly from basic calculations to deeper conceptual graphing. * **Flexible Use:** Perfect for classwork, homework, math hubs, revision, or cover work. * **Clear Layouts:** Wide-open boxes give students plenty of room to write out their working. **Educational Curriculum Alignment** * **UK Curriculum:** Perfect for GCSE Maths Higher Tier (Algebra - Quadratic Equations) and AS-Level Maths pure mathematics revision. * **International Curricula:** Aligns seamlessly with IGCSE Maths and IB Math standard level tracks focusing on the nature of roots.

拢2.70
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Discriminant of a quadratic equation and quadratic formula worksheets (with solutions)

A collection of three worksheets. Two worksheets on the discriminant of a quadratic equation with exercises for evaluating the discriminant of given equations, determining the number of real solutions of given quadratic equations and deciding whether the discriminant of a quadratic equation is positive, negative or zero by the corresponding graph and one worksheet on solving quadratic equations using the quadratic formula. Solutions are provided.

拢2.80
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Parabolas Bundle

Three worksheets on parabolas. One on transforming parabolas: The exercises include finding the equation of the parabola that occurs after translating the parabolas y=x^2 and y=-x^2 vertically and horizontally and writing the equations of parabolas which are translations of the parabolas y=x^2 and y=-x^2 given their graphs. One on the parabola y=ax^2: The exercises include identifying whether a given parabola of this form has a maximum or a minimum and matching given graphs of such parabolas to their equations. And one on the discriminant of a quadratic equation: The exercises include evaluating the discriminant of given equations, determining the number of real solutions of given quadratic equations and deciding whether the discriminant of a quadratic equation is positive, negative or zero by the corresponding graph. Solutions are provided.

拢2.80

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