Rearranging Formulae (make x the subject)

Linear

100

x+7=y

x=y-7

200

2x+4=y-5

x=(y-9)/2

300

3x+5y=7

x=(7-5y)/3

400

2x+7y=10y-3x

x=3y/5

500

9x-6y+4=7-2x+3y

x=(9y+3)/11

Fractions

100

x/2 = y

x=2y

200

2x/3=5y

x=15y/2

300

x/5 + 1 = 12y

x=60y-5

400

x/3 + x/2 = 5y

x=6y

500

1/2 + y/x = 5

x=2y/9

Brackets

100

3(x+1)=2y

x=(2y/3)-1

200

x(4+y)=3

x=3/(4+y)

300

2(2x+z)=x

x=2z/3

400

2(3x+y)=x(5+2)

x=2y

500

2(x-3)-3(4-x)=y

x=(y+18)/5

Squares

100

x² = y

y=root(x)

200

x²-5=y

x=root(y+5)

300

x²+y=12

x=root(12-y)

400

x²+2=3x²+y

x=root((2-y)/2)

500

3x²+21=x²-5y²

x=root((-21-5y²)/2)

Mixed

100

x/3 + x = 2y

x=3y/2

200

(x+3)/5=2(x+y)

x=(3-10y)/9

300

2(x²+4)/3 = 8y

x=root(12y-4)

400

2y/(5(x+2)) + 4/3 = 21

x=(6y-590)/295

500

y=a²x+b²

x=(y-b²)/a²