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Changing the Subject of a Formula (Tricky)

Total questions: 8

Worksheet time: 24mins

Name
Class
Date
1.
a)

w=4g+13w=4g+\frac{1}{3}

b)

w=4g+96w=\frac{4g+9}{6}

c)

w=4g+39w=\frac{4g+3}{9}

d)

w=g+39w=\frac{g+3}{9}

2.
a)

a=ac+2w14a=\frac{ac+2w}{14}

b)

a=2w14−ca=\frac{2w}{14-c}

c)

a=2w14+ca=\frac{2w}{14+c}

d)

a=ac+14w14a=\frac{ac+14w}{14}

3.

Make x the subject

a)

x=3+8yy−1x=\frac{3+8y}{y-1}

b)

x=y−3y+8x=\frac{y-3}{y+8}

c)

x=xy−8y−3x=xy-8y-3

d)

x=8y−3y+1x=\frac{8y-3}{y+1}

4.

Make w the subject

a)

w=5g−gww=5g-gw

b)

w=g−15gw=\frac{g-1}{5g}

c)

w=gw−5gw=gw-5g

d)

w=5gg−1w=\frac{5g}{g-1}

5.
a)

y=2x−31−xy=\frac{2x-3}{1-x}

b)

y=xy+2x−3y=xy+2x-3

c)

y=1−x2x−3y=\frac{1-x}{2x-3}

d)

y=2x−3x+1y=\frac{2x-3}{x+1}

6.
a)

y=c−w−4ay=\frac{c-w}{-4a}

b)

y=3c−w−4ay=^3\sqrt{\frac{c-w}{-4a}}

c)

y=c−w+4ay=c-w+4a

d)

y=3c−w+4ay=^3\sqrt{c-w+4a}

7.

a)

p=πy+21+3πp=\frac{\pi y+2}{1+3\pi}

b)

p=πy−3π+2p=\pi y-3\pi+2

c)

p=πy+23πp=\frac{\pi y+2}{3\pi}

d)

p=3π−1πy+2p=\frac{3\pi-1}{\pi y+2}

8.

a)

m=Egh+14v2m=\frac{E}{gh}+\frac{1}{4}v^2

b)

m=gh+14v2Em=\frac{gh+\frac{1}{4}v^2}{E}

c)

m=E(gh+14v2)m=E\left(gh+\frac{1}{4}v^2\right)

d)

m=Egh+14v2m=\frac{E}{gh+\frac{1}{4}v^2}