year 8 maths

412 Chapter 7 Linear relationships 1
Exercise 7C
UNDERSTANDING AND FLUENCY
1–6 3, 4–6(½)
5–6(½)
1 By how much does y increase for each increase by 1 in x ? If y is decreasing, give a negative
answer.
a
x −2 −1 0 1 2
y −1 1 3 5 7
b
x −3 −2 −1 0 1
y 4 3 2 1 0
c
y
d
y
3 (1, 3)
2
1 (0, 1)
−3 −2 −1
O
(−1, −1) −1
1 2 3
−2
(−2, −3) −3
x
(−1, 3) 3
2
1
−3 −2 −1
O
−1
1 2 3
−2
−3 (1, −3)
x
2 For each of the tables and graphs in Question 1 , state the value of y when x = 0 .
3 Find the missing number in these equations.
a 4 = 2 + □ b 3 = 5 + □
c −1 = 2 + □ d 5 = 3 × 2 + □
e −2 = 2 × 4 + □ f −10 = 2 × (−4) + □
g −8 = −4 × 2 + □ h −12 = −5 × 3 + □
i 16 = −4 × (−3) + □
Example 4a
4 Find the rule for these tables of values.
a
x −2 −1 0 1 2
b
x −2 −1 0 1 2
y 0 2 4 6 8
y −7 −4 −1 2 5
c
x −3 −2 −1 0 1
d
x −1 0 1 2 3
y 4 3 2 1 0
y 8 6 4 2 0
Example 4b
5 Find the rule for these tables of values.
a
x 1 2 3 4 5
y 5 9 13 17 21
b
x −5 −4 −3 −2 −9
y −13 −11 −9 −7 −5
c
x 5 6 7 8 9
d
x −6 −5 −4 −3 −2
y −12 −14 −16 −18 −20
y 10 9 8 7 6
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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