BitWithBite
Mathematics Worksheet
🧾 Quadratic Formula
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After this worksheet you can
Identify a, b and c.Compute the discriminant.Interpret the discriminant.Solve using the quadratic formula.📚 Quick Recap
The quadratic formula solves ANY quadratic equation, even ones that can't be factored nicely — a universal tool that always works as long as you know a, b, and c.
🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4
1For 5x2 + 4x − 1 = 0, a, b, c are:
2Discriminant of x2 − 6x + 9 = 0:
3Discriminant of x2 + 4x + 8 = 0:
4Solve x2 + 3x − 10 = 0:
🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11
5The discriminant is .
6For 5x2 + 4x − 1 = 0, a = .
7Find a, b, c for 5x2 + 4x − 1 = 0.
8Find the discriminant of x2 − 6x + 9 = 0.
9Find the discriminant of x2 + 4x + 8 = 0.
🚀 Section C · Challenge ● CHALLENGE 5
10Solve x2 + 3x − 10 = 0 using the quadratic formula.
💭 Reflection — the most useful thing I learned:
A ___/4 B ___/11 C ___/5 Total ___/20
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✂ answer key — fold or cut before handing out
1-A 2-A 3-A 4-A | 5 b2 − 4ac 6 5 7 = a=5, b=4, c=−1 8 = 0 9 = −16 | 10 = x = 2 or x = −5