Learning Enhancement Team
Worksheet:
Rearranging Equations
Transposing (or rearranging) equations is one of the most common mathematical skills you
will use as a scientist. You can also solve equations with a single variable using identical
methods. This worksheet offer a chance to practise these skills.
Model answers to
this sheet
1.
Rearranging Equations
study guide
Solve the following equations (try rearranging the equations for x):
a.
5x  8
b.
5x  3  8
c.
x
8
5
d.
5x  3  8
e.
5x  8
f.
5x  3
8
2
g.
5x
8
4
h.
1
8
5x  2
i.
5  x  8x
j.
1
1

5  x 8x
2.
Transpose the following equations for the variable stated:
a.
C d
for d
b.
c1v1  c2v 2
for v 2
c.
F  BQv
for Q
d.
Q  U  pV
for p
e.
Vp
Vs

Np
for Ns
Ns

f.

g.
s
h.
KE 
i.
s  ut  21 a t 2
for a
j.
pV
 nR
T
for T
k.
a2  b2  c 2
for b
l.
sin 
for d
d
u  v t
2
1
mv 2
2
a
b
for u
for v
for 
This worksheet is one of a series on
mathematics produced by the
Learning Enhancement Team.
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