Maths Essentials, Unit 8, Lesson 2 of 5

Writing formulae

GCSE Maths, Formulae and rearranging, 20 minutes

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Turn a rule in words or a diagram into a formula, keep the units straight, then use it.

What you will learn

  • Write a formula from words
  • Write a formula from a diagram
  • Use a formula you have written

From words to a formula

"Mugs cost £8 each plus £4 delivery for the order": n mugs cost 8n, and the delivery is added once, so C = 8n + 4.

Check with a number: 3 mugs should cost £28, and 8 × 3 + 4 = 28.

Keep the units the same: £3 plus 45p a minute, in pounds, is C = 3 + 0.45m.

A starting amount plus a fixed amount for each step: a box holds 5 pens and each pack added holds 4 more, so N = 5 + 4p. With p = 6 packs, N = 5 + 24 = 29. In the same way, "her dad is 5 years more than 2 times Ella's age x" gives y = 2x + 5, and "roast for 40 minutes per kilogram plus 20 minutes" gives T = 40w + 20.

The rest of this lesson and its 7 practice questions are locked.

In this lesson

  1. From words to a formula
  2. From a diagram

7 practice questions, marked as you go; about 20 minutes in all.

In this unit: Formulae and rearranging

Substitute into formulae, write your own, change the subject (including when it appears twice) and use rearranged formulae from science and finance.

All of Formulae and rearranging