year 8 maths

430 Chapter 7 Linear relationships 1
Exercise 7F
EXTENSION
UNDERSTANDING AND FLUENCY
1, 2, 3–5(½) 3–5(½)
4–5(½)
1 Look at these graphs and write down the x -intercept (i.e. the value of x where y = 0 ).
a
y
b
y
O
(0, 3)
(2, 0)
x
(−5, 0)
O
(0, 2)
x
c
y
(0, –4)
O
(7, 0)
x
2 For each of these tables state the value of x that gives a y value of zero .
a
x −2 −1 0 1 2
y 2 0 −2 −4 −6
b
x 1 2 3 4 5
y 3 2 1 0 −1
c
x −4 −3 −2 −1 0
y 8 4 0 −4 −8
d
x − 1 1
3
0
1
2
2
2
y −2 0 2 4 6
3 Solve each of these equations for x .
a 0 = x − 4 b 0 = x + 2 c 0 = x + 5
d 0 = 2x + 10 e 0 = 3x − 12 f 0 = 4x + 28
g 0 = 3x + 1 h 0 = 5x + 2 i 0 = −2x − 4
j 0 = −5x − 20 k 0 = −x + 2 l 0 = −x + 45
Example 11
Example 12
4 For the graphs of these rules, find the x -intercept.
a y = x − 1 b y = x − 6 c y = x + 2
d y = 2x − 8 e y = 4x − 12 f y = 3x + 6
g y = 2x + 20 h y = −2x + 4 i y = −4x + 8
j y = −2x − 4 k y = −x − 7 l y = −x + 11
5 Find the x - and y -intercepts and then sketch the graphs of these rules.
a y = x + 1 b y = x − 4 c y = 2x − 10
d y = 3x + 9 e y = −2x − 4 f y = −4x + 8
g y = −x + 3 h y = −x − 5 i y = −3x − 15
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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