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Worksheets

Changing the subject of a formula

Total questions: 20

Worksheet time: 2hrs 40mins

Name
Class
Date
1.

Make w the subject of the formula

 y=3w−ay=3w-a  

a)

 w=y3+aw=\frac{y}{3}+a  

b)

 w=y+a3w=y+\frac{a}{3}  

c)

 w=y+a3w=\frac{y+a}{3}  

d)

 w=y−a3w=\frac{y-a}{3}  

2.

Make w the subject of the formula

 s=was=\frac{w}{a}  

a)

 w=saw=\frac{s}{a}  

b)

 w=saw=sa  

c)

 w=asw=\frac{a}{s}  

d)

 w=s+aw=s+a  

3.

 v=u+10tv=u+10t  Make u the subject of the formula

a)

 u=v−10tu=v-10t  

b)

 u=v+10tu=v+10t  

c)

 u=v10tu=\frac{v}{10t}  

d)

 u=v−10tu=\frac{v}{-10t}  

4.

 s=hm4s=\frac{hm}{4}  Make m the subject of the formula

a)

 m=4shm=\frac{4s}{h}  

b)

 m=sh4m=\frac{sh}{4}  

c)

 m=h4sm=\frac{h}{4s}  

d)

 m=s4hm=\frac{s}{4h}  

5.

 c=d+2c=\sqrt{d}+2  Make d the subject of the formula

a)

 d=(c−2)2d=\left(c-2\right)^2  

b)

 d=(c+2)2d=\left(c+2\right)^2  

c)

 d=c2−2d=c^2-2  

d)

 d=c2+2d=c^2+2  

6.

Make b the subject of the formula

 a2+b2=c2a^2+b^2=c^2  

a)

 b=\sqrt{c^2-a^2}  

b)

 b=a2−c2b=\sqrt{a^2-c^2}  

c)

 b=c2+a2b=\sqrt{c^2+a^2}  

d)

 b=a2+c2b=\sqrt{a^2+c^2}  

7.

Make x the subject of the formula.

y=x+6

a)

x=y+6

b)

x=y-6

c)

x=y6x=\frac{y}{6}

d)

x=6y

8.

Make x the subject of the formula.

7x=y

a)

x=y7x=\frac{y}{7}

b)

x=7y

c)

x=7+y

d)

x=7-y

9.

Make x the subject of the formula.

y=2x+8

a)

x=2y-8

b)

x=y−82x=\frac{y-8}{2}

c)

x=8-y

d)

x=y-8

10.

Make x the subject of the formula.


 y=x3y=\frac{x}{3}  

a)

x=3y

b)

x=y+3

c)

x=3/y

d)

x=y-3

11.

 m+72=y\frac{m+7}{2}=y  


Make m the subject of the formula.

a)

m=y-14

b)

m=7+2y

c)

m=2y+7

d)

m=2y-7

12.

Make z the subject of the formula.

 5=za5=\frac{z}{a}  

a)

z=5+a

b)

z=5a

c)

z=a-5

d)

z=5-a

13.

Make p the subject of the formula.

x=6p+2

a)

p=6x-2

b)

p=x−26p=\frac{x-2}{6}

c)

p=2x-6

d)

p=x−62p=\frac{x-6}{2}

14.

Make y the subject of the formula.

x=3y-z

a)

y=3x-z

b)

y=x+z3y=\frac{x+z}{3}

c)

y=z−x3y=\frac{z-x}{3}

d)

y=3z+x

15.

Make x the subject of the formula:

a)

x = y - a

b)

x = a - y

c)

x = y + a

d)

x = ay

16.

Make x the subject of the formula:

a)

x = y - a

b)

x = yax\ =\ \frac{y}{a}

c)

x = y + a

d)

x = ay

17.

Make x the subject of the formula:

a)

x = ya−3x\ =\ \frac{y}{a}-3

b)

x = y−3ax\ =\ \frac{y-3}{a}

c)

x = a−3yx\ =\ \frac{a-3}{y}

d)

x = ya−3x\ =\ \frac{y}{a}-3

18.

Make x the subject of the formula:

a)

x = y−ax\ =\ \sqrt{y-a}

b)

x = y−ax\ =\ \sqrt{y}-a

c)

x = y+ax\ =\ \sqrt{y+a}

d)

x = y+ax\ =\ \sqrt{y}+a

19.

Make x the subject of the formula:

a)

x = yx\ =\ \sqrt{y}

b)

x = y2x\ =\ y^2

20.

Make x the subject of the formula:

a)

x = ay−3x\ =\ ay-3

b)

x = a(y−3)x\ =\ a\left(y-3\right)

c)

x = 3y−ax\ =\ 3y-a