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Formulas

Algebra Formulas – IGCSE Maths

Every algebra formula you need for Cambridge IGCSE Mathematics 0580, with clear explanations of when and how to use each one.

Quadratic formula

Core
x=−b±b2−4ac2ax = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}

Key formula for algebra in IGCSE Maths.

When to Use

Use when working with algebra problems.

Show your substitution clearly for method marks.

Square of sum

Core
(a+b)2=a2+2ab+b2(a+b)^2 = a^2 + 2ab + b^2

Key formula for algebra in IGCSE Maths.

When to Use

Use when working with algebra problems.

Show your substitution clearly for method marks.

Difference of squares

Core
a2−b2=(a+b)(a−b)a^2 - b^2 = (a+b)(a-b)

Key formula for algebra in IGCSE Maths.

When to Use

Use when working with algebra problems.

Show your substitution clearly for method marks.

Completing the square

Extended
x2+bx=(x+b2)2−(b2)2x^2 + bx = \left(x + \dfrac{b}{2}\right)^2 - \left(\dfrac{b}{2}\right)^2

Key formula for algebra in IGCSE Maths.

When to Use

Use when working with algebra problems.

Show your substitution clearly for method marks.

Change of subject

Core
Rearrange to isolate the variable\text{Rearrange to isolate the variable}

Key formula for algebra in IGCSE Maths.

When to Use

Use when working with algebra problems.

Show your substitution clearly for method marks.

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Frequently Asked Questions

Which algebra formulas are given in the exam?

Check the IGCSE formula sheet provided in your exam. Some algebra formulas must be memorised.

How do I remember algebra formulas?

Practice using them in past paper questions. Repeated application is more effective than rote memorisation.

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