BitWithBite
Mathematics Worksheet
🧮 SymPy
SCORE___ / 20
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After this worksheet you can
Expand algebraic expressions symbolically.Solve equations exactly.Differentiate symbolically.Integrate symbolically.📚 Quick Recap
SymPy is Python's library for symbolic mathematics — instead of computing numeric approximations, it manipulates exact mathematical expressions, just like doing algebra by hand.
🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4
1sp.expand((x+3)*(x−3)) returns:
2sp.solve(x**2 - 9, x) returns:
3sp.diff(x**4, x) returns:
4sp.integrate(x**2, x) returns:
🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11
5(x+3)(x−3) expands to .
6sp.solve(x**2 - 9, x) = .
7What does sp.expand((x+3)*(x−3)) return?
8What does sp.solve(x**2 - 9, x) return?
9What does sp.diff(x**4, x) return?
🚀 Section C · Challenge ● CHALLENGE 5
10What does sp.integrate(x**2, x) return?
💭 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 x**2 - 9 6 [-3, 3] 7 = x**2 - 9 8 = [-3, 3] 9 = 4*x**3 | 10 = x**3/3