01 · THE HOOK

Why put letters inside mathematics?

Algebra is a language for talking clearly about quantities we do not yet know.

02 · A TINY HISTORY

The problem came before the symbol

People solved unknown-quantity problems long before modern x and y notation.

03 · KEY LANGUAGE

Variable · coefficient · expression · equation

Learn the language before memorising the trick.

CHECK YOURSELF

Can you explain the last idea in your own words without looking back?

04 · THE BIG IDEA

An equation behaves like a balance

Any valid operation must preserve equality on both sides.

05 · WORKED EXAMPLE

2x + 3 = 11

Subtract 3 from both sides, then divide both sides by 2. x = 4.

06 · WHY IT MATTERS

Unknowns are everywhere

Pricing, engineering, coding, budgeting and science all use known and unknown quantities.

NEXT

Try it. Then prove it.

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