year 8 maths

7C
Finding the rule using a table of values
413
Example 5
6 Find the rule for these graphs by first constructing a table of (x, y) values. Write the rule in words.
a
(−1, 0)
3
2
1
−3 −2 −1
O
(−2, −1) −1
1 2 3
−2
−3
y
(1, 2)
(0, 1)
x
b
4
3
2
1
−3 −2 −1
O
−1 1 2 3
−2 (0, −2)
y
(3, 4)
(1, 0)
(2, 2)
x
c
y
d
y
(−1, 5)
5
4
3
2
1
(0, 2)
−3 −2 −1
O
−1
1 2 3
(1, −1)
x
3
(−2, 2) 2
(−1, 1) 1
−3 −2 −1
O 1 2 3
−1 (1, −1)
−2
(2, −2)
−3
x
PROBLEM-SOLVING AND REASONING
7, 8, 11 7–9, 11, 12
8–10, 12–14
7 Find the rule for these sets of points. Try to do it without drawing a graph or table.
a (1, 3), (2, 4), (3, 5), (4, 6) b (−3, −7), (−2, −6), (−1, −5), (0, −4)
c (−1, −3), (0, −1), (1, 1), (2, 3) d (−2, 3), (−1, 2), (0, 1), (1, 0)
8 Write a rule for these matchstick patterns. Write the rule in words.
a x = number of squares y = number of matchsticks
Shape 1 Shape 2 Shape 3 Shape 4
b x = number of hexagons y = number of matchsticks
Shape 1 Shape 2 Shape 3 Shape 4
c x = number of matchsticks on top row y = number of matchsticks
Shape 1 Shape 2 Shape 3 Shape 4
Cambridge Maths NSW
Stage 4 Year 8 Second edition
ISBN 978-1-108-46627-1 © Palmer et al. 2018
Cambridge University Press
Photocopying is restricted under law and this material must not be transferred to another party.