Analysis and Approaches for IBDP Maths Ebook 2 | Page 281

Answers
Chapter 2
Exercise 6
6.1 a � 1, b � 2
6.2 k �� 1 or k � 3
6.3 (a) q �� 16
(b) p�
6.4 p � 2 , q � 28
Exercise 7
7.1 a � 2 , b � 1
7.2 p � 0, q �� 28
7.3 (a) m �� 19
(b) p( x) � ( x �5)( x � 2)( x � 3)
7.4 (a) k �� 4
(b) p( x) � ( x �3)(2x �1)( x � 1)
Exercise 8
8.1 k �� 24
8.2 k �� 8
8.3 (a)
1 1 1 1
� � � �
r r r r r r 4
1 2 2 3 1 3
(b) 12
8.4 (a)
1 1 1 2
� � � �
r r r 3
(b) � 15
Exercise 9
1 2 3
9.1 (a) � 4.75
(b) � 1.25
9.2 (a) 2.25
(b) � 0.75
9.3
9.4
g( x) � �x � 20x
4 3
� � �
2
144x
453x
529
g x x x x x
4 3 2
( ) � 4 �16 �34 �36 � 10
Exercise 10
10.1 0 �r
� 27
10.2 k �� 0.236
10.3 r � 400 or r � 432
10.4 �240 � k � 272
Exercise 11
11.1 (a)
(b) � 1
(c) x � 4 ,
5 4
�
11( x�4) 11(3 x�1)
1
x �
3
11.2 (a)
1
a �� 2 , b ��
2
(b)
7 5
�
3(2x�1) 3( x�2)
11.3 (a) A � 1,
11.4 (a)
(b) y � 1
(b)
Chapter 3
Exercise 12
11
B � ,
4
55
C ��
4
1
A � , B �� 7 , C �
3
Refer to solution
52
3
12.1 (a) a�b� c�
998
9a �3b � c � 982
36a � 6b �c
� 928
(b) a �� 2 , b � 0, c � 1000
12.2 (a) x � y � z � 8400
x � z � y � 6288
(b) x � 800, y � 7344, z � 256
12.3 (a) a � 5 , b � 4 , c � 4
(b) $290
12.4 (a) x � 4 , y � 2 , z �� 1
(b)
A team drops 1 point for
losing a game
www.seprodstore.com
271