Answers - Pearson Global Schools

Exercise 41
1 2 3
4 5 x 0, x 2 6 23 x 3
7 x 5 8 x 4 9 x 3
10 x 3 11 x 9 12 x 4
13 x 0 14 x 3 15 {5, 6}
16 {3, 4} 17 {0, 1} 18 1 x 5 {1, 2, 3, 4}
19 1​
1_
2​ x 3 {2, 3}
Exercise 41*
1 x 0 or x 3; 0 x 3 → 0 3 2 x 2.5
3 x 5​
1_
3 ​ 4 x 1.5 5 x 23​ 1_
5 ​
6 x 2 7 21 x 3 8 x 7 {7, 6, 5, 4}
9 23 10 {1, 2, 3}
Exercise 42 (Revision)
1 3 2 x 3 3x
​
4 4 5 a 6 6x
9y
7
___
20 ​ 8 ___ 2x
15 ​ 9 ______ 4a 1 6
10 ​
10 x 5 64 11 x 5 66 12 x 5 20
13 a 10 14 b 2 15 c 12
16 . 17 , 18 ,
19 5 20 23 , x < 2 21 x . 5
22 x < 4.5 23 x > 2 24 x > 1
25 {3, 4} 26 3.24 cm 27 11.34 km
Exercise 42* (Revision)
4a
1 ​ ___
b ​ 2 ​ ___ 5x
y ​ 3 ​ b
​ ​
___
4a ​
4
b__
2 ​ 5 ___ 5
xy ​ 6 ____ 18b
a ​
8a
7
___
5 ​ 8 ____ 7
12b ​ 9 ______ 2x 1 6
21 ​
10 x 5 63 11 x 5 2 12 x 5 64
13 a 4 14 4b 6 15 81c 7
16 23 , x < 0, 22 17 x , 24.4 18 x . 24
19 x < 4.5 20 37 21 {23, 22, 21, 0}
22 7.98 cm 23 0.39 s
24 1130 km/s 5 4.07 3 10 6 km/h
Exercise 43
1
x 0 2 4
y 5 x 1 1 1 3 5
y 5 2x 2 2 22 2 6
Intersection point is (3, 4).
y
6
4
2
4 (1.5, 9) 5 (4, 4)
y
25
20
y
6
5
15
4
3
10
2
5
1
0
1 2 3 4 5 6 x 1
6 (2, 2)
y
4
3
2
1
0
–1
–2
1
Exercise 43*
2 3 4 5 6
1 (6, 13) 2 (1.75, 4.25)
y
y
15
15
10
10
5
x
5
2 3 4 5 6
0
1 2 3 4 5 6 x 0
1 2 3 4 5 6 x
–5
3 (2.57, 0.29) 4 (0.53 . , 20.9)
y
y
2
30
25
1
20
15
0
1 2 3 4 5 6 x
10
5
–1
0
1 2 3 4 5 6 X
–2
5 a C 5 0.25t 1 15, C 5 0.14t 1 100
b C
c 773 min
250
200
150
100
50
200 400 600 800 1000 t
6 Angles: 0°, 90°, 180°, 270°, 0°, 90°, 180°, 270°, 0°, 90°, 180°
x
Mathematics B
2 (2, 5) 3 (3, 8)
y
y
15
10
5
0
1
0
–2
2 3 4 5 6
1
15
10
5
0
x 1
2 3 4
x
2 3 4 5 6
x
a and b Angle
360°
180°
1 2 3 4 5 6
Time
c 1 h 5.45 min; 2 h 10.9 min; 3 h 16.4 min; 4 h 21.8 min; 5 h 27.3 min
Exercise 44
1 x < 2 2 y . 4
3 y < 22 4 x 1 y 6
© Pearson Education Ltd 2010
9