Formulae & Substitution

Pass Check: Formulae & Substitution

A formula is a rule connecting variables, used by substituting or rearranging.

4 definitions3 to memorise3 common mistakes5 exam questions8-question quiz

Formula

A mathematical rule connecting two or more variables, e.g. A = πr².

Subject of a formula

The letter on its own on one side of the equals sign, e.g. A in A = πr².

Rearrange

To change a formula so a different letter becomes the subject.

Substitute

To replace letters in a formula with given numerical values.

Quick check

Mixed quiz

1. Which formula correctly gives the area of a rectangle with length l and width w?

2. Which is the correct rearrangement of A = πr² for r²?

3. Which is the correct rearrangement of P = A(1+rt) for A?

4. Which factorises x² - 16?

5. Which factorises to 3(x+4)?

6. Which factorises 6x² + 11x + 3?

7. Find the next term in the sequence 8, 14, 20, 26,...

8. Find the nth term of the sequence 7, 12, 17, 22,...