Rearranging formulae

The Maths Habit

You put on socks, then shoes.
What order do you take them off?

Shoes first, then socks

What undoes it?

  1. × 6

    ÷ 6

  2. + 1

    − 1

  3. − 4

    + 4

  4. ÷ 4

    × 4

Subject
The letter on its own on one side of a formula.

y = 2x + 7

x× 2+ 7y
xy

Make a the subject of

t = 5a − 4

at
at

Make x the subject of

y = 6x + 1

x = y − 16

x× 6+ 1y
x÷ 6− 1y

Make c the subject of

d = 8c − 5

c = d + 58

Make x the subject of

y = 6x + 1

x = y − 16

Make p the subject of

q = 9p + 4

p = q − 49

Make x the subject of

y = 6x + 1

x = y − 16

Make n the subject of

m = 3n − 8

n = m + 83

Make x the subject of

y = 6x + 1

x = y − 16

Make b the subject of

a = 10 + 2b

b = a − 102

Make x the subject of

y = 6x + 1

x = y − 16

Make g the subject of

5g + 3 = h

g = h − 35

Make x the subject of

y = x4 + 7

xy
xy

Rearranging formulae worksheet, page 1

Rearranging formulae worksheet, page 2

Answer sheet

  1. v = u + at. Make t the subject.

    t = v − ua

  2. A taxi fare in pounds is C = 3 + 2m, where m is the number of miles. A journey costs £17. Rearrange the formula to find how many miles it was.

    7 miles

  1. Make x the subject of y = 5x − 3

    x = y + 35

  2. Make x the subject of y = x4 + 2

    x = 4(y − 2)

  3. m = 4n + 7. Make n the subject, then find n when m = 31.

    n = m − 74, n = 6
Exit tickets to print