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400 Chapter 7 Linear relationships 1

1 This graph shows the relationship between age and height of two people.

Pre-test

Height

Amanda

Age

George

a Who is older? b Who is taller?

2 Write the x -coordinate for these points.

a (1, 2) b (1, 5)

c (0, −1) d (−3, 0)

3 Write the y -coordinate for these points.

a (1, 6) b (−4, −1) c (−3, 0) d (−4, 2)

4 The coordinates of the point A on this graph are (2, 3) . What are the coordinates of these points?

3

2

1

O

y

B

1

A

C

2 3

D

x

a B b C c D

5 If y = x + 4 , find the value of y when:

a x = 3 b x = 0 c x = −2

6 If y = −2x − 3 , find the value of y when:

a x = 2 b x = 0 c x = −3

7 Complete the tables for the given rules.

a y = 3x − 2 b y = −x + 4

x −2 −1 0 1 2

y

x −2 −1 0 1 2

y

8 Find the rule for these tables of values.

a

x 0 1 2 3 4

y 0 3 6 9 12

b

x −1 0 1 2 3

y −1 1 3 5 7

c

x −3 −2 −1 0 1

y −11 −8 −5 −2 1

d

x 0 1 2 3 4 5

y 5 4 3 2 1 0

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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