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Mathematics · Grades 11–12

Algebra · Formula sheet

Rules, conditions and small examples in one printable reference.

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Simultaneous equations

Add the equations to eliminate y, then solve for x.

x + y = s; x − y = d → x = (s + d)/2

2x = 50 → x = 25

Inverse linear functions

Undo addition first, then undo multiplication.

f⁻¹(y) = (y − b)/a, a ≠ 0

(-9 − (15)) ÷ 6 = -4

Compose two functions

Apply the inside function first.

(f ∘ g)(x) = f(g(x))

g(7) = 30; f(30) = 117

Further reading and review references

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Learning preview · teacher review required. Grade bands are approximate, not official curriculum alignment.