year 8 maths

2C
Equations with fractions
75
Example 6a
Example 6b,c,d
3 Match each of these equations with the correct first step to solve it.
x
a
4 = 7
A Multiply both sides by 2 .
x − 4
b = 5
B Add 4 to both sides.
2
x
c
2 − 4 = 7
C Multiply both sides by 4 .
x
d
4 + 4 = 3
D Subtract 4 from both sides.
4 Solve the following equations systematically.
b
a
5 = 4 b g
10 = 2
c
e
g
i
k
a
5 = 3 d k
6 = 3
2l
5 = 8 f 7w
10 = −7
3s
2 = −9 h 5v
4 = 15
3m
7 = 6 j 2n
7 = 4
−7j
5 = 7 l −6f
5 = −24
5 Solve the following equations systematically. Check your solutions by substituting.
a
c
t − 8
2
a + 12
5
e −1 = s − 2
8
= −10 b
= 2 d
f
h + 10
3
c − 7
2
5j + 6
8
= 4
= −5
= 2
g 3 = 7v
12 + 10 h 4n
9 − 6 = −2
i
k
7q + 12
5
15 = 3 − 12l
5
m −6 = 5x − 8
−7
o
q
5k + 4
−8
= −6 j −4 = f − 15
3
l
n
9 − 4r
7 = 5
5u − 7
−4
= −2
= −3 p 20 = 3 + 13b
−7
7m
12 −12 = −5 r 4 + − 7y
8 = −3
s 4 = p − 15
− 3
t
g − 3
5
= −1
Cambridge Maths NSW
Stage 4 Year 8 Second edition
ISBN 978-1-108-46627-1 © Palmer et al. 2018
Cambridge University Press
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