wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Rearranging formula

Total questions: 32

Worksheet time: 1hrs 2mins

Name
Class
Date
1.
Make a the subject of
a + b = c
a)
a = c - b
b)
a = b - c
c)
a = b + c
d)
a = bc
2.
Solve for y:
3x + y = 12
a)
y = -3x +12
b)
x = y + 4
c)
x = y + 12
d)
y = 3x -12
3.
Solve m - n = 5 for m.
a)
m = 5 + n
b)
m = -5 - n
c)
m = -5 + n
d)
m = 5 - n
4.

Make y the subject: 6x + y = 10

a)

y = 6x + 10

b)

y = -6x + 10

c)

y = 6x -10

d)

y = -6x - 10

5.

Make y the subject: -10 - y = 3x

a)

y = 3x - 10

b)

y = 3x + 10

c)

y = -3x + 10

d)

y = -3x - 10

6.
S = 3F - 24  Solve for F
a)
F = (S + 24)/3
b)
F = S/3 + 24
c)
F = 3S + 24
d)
F = 3(S + 24)
7.
Make w the subject of 
A = lw
a)
w = A/l
b)
w = l/A
c)
w = A - l
d)
w = Al
8.
Make x the subject of y = mx + 1
a)
x = (y - 1)/m
b)
x = y - 1/m
c)
x = y/m - 1
d)
x = my - 1
9.
Make x the subject:
N = (180 + x)/2
a)
x = 2N -180
b)
x = N - 180
c)
x = N/2 -180
d)
x = N -180/2
10.
Solve -2 = 4r + s for s.
a)
s = -2 + 4r
b)
s = 2 - 4r
c)
s = -2 - 4r
d)
s = 2 + 4r
11.
Solve for x:
a)
x = yb - v
b)
x = by - v
c)
x = by + v
12.
Solve for s:
a + b = s + r
a)
s = a/r + b
b)
s = (a + b)/r
c)
s = r(a + b)
d)
s = a + b - r
13.

Rearrange to make y the subject
 y5+k=w\frac{y}{5}+k=w  

a)

 y=5(w+k)y=5\left(w+k\right)  

b)

 y=w+k5y=\frac{w+k}{5}  

c)

 y=wk5y=\frac{w-k}{5}  

d)

 y=5(wk)y=5\left(w-k\right)  

14.

Rearrange the following equation to make r the subject

 p=3r5p=3r-5  

a)

 r=p+53r=\frac{p+5}{3}  

b)

 r=p+5÷3r=p+5\div3  

c)

 r=p53r=\frac{p-5}{3}  

d)

 r=p5÷3r=p-5\div3  

15.

 Rearrange so that x is the subject 4x t=a4x\ -t=a 

a)

 x=a+t4x=a+t-4  

b)

 x = a +tx\ =\ a\ +t  

c)

 x = a+t4x\ =\ \frac{a+t}{4}  

d)

 x=ta4x=\frac{t-a}{4}  

16.

 Rearrange so that x is the subject xp3=1\frac{x}{p^3}=1 

a)

 x=1p3x=\frac{1}{p^3}  

b)

 x=p3x=p^3  

c)

 x=p3x=\frac{p}{3}  

d)

 x=3px=3p  

17.

Rearrange so that d is the subject C=πdC=\pi d  

a)

 Cπ=d\frac{C}{\pi}=d  

b)

 d=Cπd=C\pi  

c)

 d=πCd=\frac{\pi}{C}  

d)

 d=Cπd=C-\pi  

18.

Rearrange so that Q is the subject F=BQvF=BQv  


a)

 v=BQFv=\frac{BQ}{F}  

b)

 v=FBQv=\frac{F}{BQ}  

c)

 v=FBQv=F-BQ  

d)

 v=FBQv=FBQ  

19.

2. Rearrange the above equation

a)
b)
c)
20.

Make w the subject of the formula

y = 3w - a

a)

w = y+ aw\ =\ y+\ a

b)


w = y+a3w\ =\ \frac{y+a}{3}

c)

w = ay3w\ =\ \frac{a-y}{3}

21.

Make w the subject of the formula


 s = was\ =\ \frac{w}{a}  

a)

 as=awas=aw  

b)

 asas  

c)

 sasa  

22.

Make u the subject of the formula

v = u + 10t

(a)  

23.

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




  

a)

 m = 4hsm\ =\ \frac{4}{hs}  

b)

 m = 4shm\ =\ \frac{4s}{h}  

c)

 m = hs4m\ =\ \frac{hs}{4}  

d)

 m = 4shsm\ =\ \frac{4s}{hs}  

24.

Make d the subject of the formula

c = 4d + 5

a)

d = c5d\ =\ c-5

b)

d = c54d\ =\ \frac{c-5}{4}

c)

d = 5+c4d\ =\ \frac{-5+c}{4}

d)

d= 5c4d=\ \frac{5-c}{4}

25.

c = 4x +5y

Make x the subject of the formula

a)

x = cf4x\ =\ \frac{c-f}{4}

b)

x = c54x\ =\ \frac{c-5}{4}

c)

x = c5y4x\ =\ \frac{c-5y}{4}

d)

x= c5yx=\ c-5y

26.

Rearrange y = 2x +1 to make x the subject

a)

x = y2x\ =\ \frac{y}{2}

b)

x = y2+1x\ =\ \frac{y}{2}+1

c)

x = y12x\ =\ \frac{y-1}{2}

27.

 d = 12 at2d\ =\ \frac{1}{2\ }at^2  

Solve for the formula of: a

a)

 a = 2dt2a\ =\ \frac{2d}{t^2}  

b)

 a = 2dt2a\ =\ 2dt^2  

c)

 a = 2d  t2a\ =\ 2d\ -\ t^2  

d)

none of the above

28.

Rearrange to make y the subject
 yc=w\frac{y}{c}=w  

a)

 y=wcy=\frac{w}{c}  

b)

 y=wcy=w-c  

c)

 y=w+cy=w+c  

d)

 y=cwy=cw  

29.

Rearrange to make y the subject
 4y=t4y=t  

a)

 y=t4y=\frac{t}{4}  

b)

 y=4ty=4t  

c)

 y=t4y=t-4  

d)

 y=4ty=\frac{4}{t}  

30.

Rearrange to make y the subject
 y5+k=w\frac{y}{5}+k=w  

a)

 y=5(w+k)y=5\left(w+k\right)  

b)

 y=w+k5y=\frac{w+k}{5}  

c)

 y=wk5y=\frac{w-k}{5}  

d)

 y=5(wk)y=5\left(w-k\right)  

31.

Rearrange the following equation to make r the subject

 p=3r5p=3r-5  

a)

 r=p+53r=\frac{p+5}{3}  

b)

 r=p+5÷3r=p+5\div3  

c)

 r=p53r=\frac{p-5}{3}  

d)

 r=p5÷3r=p-5\div3  

32.

Which would be the correct step to make SS  the subject of the following formula?
 T=SVT=SV  

a)

Divide both sides by SS 

b)

Multiply both sides by VV 

c)

Subtract VV from both sides

d)

Divide both sides by VV