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Mathematics B Exercise 105 1 x 5 1 or x 5 2 2 x 5 22 or x 5 1 3 x 5 22 or x 5 24 4 x 5 4 or x 5 23 5 x 5 5 or x 5 3 6 x 5 24 Exercise 105* 1 x 5 4 or x 5 5 2 x 5 23 or x 5 8 3 x 5 29 or x 5 212 4 x 5 14 or x 5 4 5 x 5 216 or x 5 26 6 x 5 3 or x 5 21 7 x 5 215 or x 5 8 Exercise 106 1 x 5 0 or x 5 2 2 x 5 0 or x 5 27 3 x 5 0 or x 5 25 4 x 5 0 or x 5 223 5 x 5 22 or x 5 2 6 x 5 25 or x 5 5 Exercise 106* 1 x 5 0 or x 5 125 2 x 5 0 or x 5 2231 3 x 5 28 or x 5 8 4 x 5 213 or x 5 13 5 x 5 6 √ __ 7 Exercise 107 1 3, 24 2 5, 26 3 24, 5 4 26, 7 5 5, 27 6 24, 6 7 a x 2 1 3x b x 5 3 8 a x 2 1 x b x 5 6 9 10 cm by 4 cm 10 8 cm by 5 cm 11 x 5 3 12 x 5 2 Exercise 107* 1 11, 13 or 213, 211 2 8, 12 or 212, 28 3 30 cm by 40 cm 4 20 m by 100 m 5 1 s and 2 s 6 2 s 7 8, 9 or 29, 28 8 7, 9 or 29, 27 9 20 10 18 11 4 12 20 cans Exercise 108 (Revision) 1 x 2 2 10x 1 21 2 x 2 1 4x 1 4 3 2x 2 2 7x 2 15 4 a x 2 1 5x 1 6 b 5x 1 6 c x 5 4 5 (x 2 6)(x 1 6) 6 (x 1 3)(x 1 1) 7 (x 1 4)(x 2 2) 8 x 5 6 or x 5 22 9 x 5 0 or x 5 5 10 x 5 26 or x 5 6 11 x 5 24 or x 5 5 12 20 cm by 30 cm Exercise 108* (Revision) 1 x 2 2 3x 2 108 2 4x 2 2 12x 1 9 3 6x 2 1 7x 2 3 4 4.25 m 5 27 cm 7 x 5 211 or x 5 11 7 x 5 0 or x 5 7 8 x 5 27 or x 5 8 9 x 5 9 or x 5 6 10 4, 10 11 b x 5 30 12 400 cm 2 Exercise 109 1 x 5 3 or x 5 2 2 x 5 1 or x 5 5 y 6 5 4 3 2 1 1 2 3 4 5 3 x 5 21 or x 5 3 4 x 5 2 or x 5 5 –2 –1 y 4 2 –2 –4 1 2 3 4 x x y 4 2 0 –2 –4 y 10 5 x 5 0 or x 5 3 6 x 5 0 or x 5 5 y 10 8 6 4 2 –2 –1 1 2 3 4 –2 x 8 6 4 2 0 –2 y 6 4 2 1 2 3 4 5 6 1 2 3 4 5 6 –1 1 2 3 4 5 6 –2 –4 –6 x x x Exercise 109* 1 x 5 1_ y 14 12 10 8 6 4 2 2 or x 5 2 2 x 5 −1 or x 5 2 1_ 2 y –2 –1 –2 1 2 3 –4 1 2 3 4 x –6 3 x 5 2_ 3 or x 5 2 4 x 5 − 1_ 2 or x 5 1_ 2 y y 20 15 15 10 5 1 2 3 4 8 6 4 2 x –2 –1 1 2 5 y 5 x 2 2 6x 1 5 6 y 5 x 2 − 7x 1 10 7 y 5 x 2 2 6x 1 9 8 y 5 −3x − 4 9 Two solutions One solution No solutions y y y x Exercise 110 1 x 5 22.2 or x 5 2.2 2 x 5 21.7 or x 5 1.7 3 x 5 21 or x 5 2 4 x 5 22.3 or x 5 1.3 5 x 5 23.8 or x 5 1.8 6 x 5 21.6 or x 5 3.6 7 x 5 0.6 or x 5 3.4 8 x 5 23.7 or x 5 20.3 9 x 5 22.9 or x 5 3.4 10 x 5 23.1 or x 5 2.6 Exercise 110* 1 x 5 21.3 or x 5 2.3 2 x 5 22.6 or x 5 1.6 3 x 5 22.6 or x 5 20.4 4 x 5 20.7 or x 5 2.7 5 x 5 2 6 x 5 −1 7 x 5 22.7 or x 5 2.2 8 x 5 22 or x 5 2.5 9 x 5 22.8 or x 5 3.2 10 x 5 22.8 or x 5 2.5 Exercise 111 1 a x 5 0 or x 5 3 b x 5 20.56 or x 5 3.56 c x 5 0.38 or x 5 2.62 d x 5 20.24 or x 5 4.24 e x 5 20.79 or x 5 3.79 f x 5 0.21 or x 5 4.79 2 a x 5 0 or x 5 2 b x 5 21.45 or x 5 3.45 c x 5 0.29 or x 5 1.71 d x 5 20.62 or x 5 1.62 e x 5 20.73 or x 5 2.73 f x 5 0.59 or x 5 3.41 3 a x 5 1 or x 5 3 b x 5 20.65 or x 5 4.65 c x 5 0.70 or x 5 4.30 d x 5 20.56 or x 5 3.56 4 a x 5 21 or x 5 4 b x 5 0.38 or x 5 2.62 c x 5 21.24 or x 5 3.24 d x 5 0.59 or x 5 3.41 5 (2.71, 3.5), no 6 (1.1, 22), no Exercise 111* 1 a x 5 5 or x 5 0 b x 5 4.30 or x 5 0.70 c x 5 3.73 or x 5 0.27 d x 5 0.76 or x 5 5.24 2 a x 5 0.5 or x 5 0 b x 5 21.19 or x 5 1.69 c x 5 20.82 or x 5 1.82 d x 5 20.62 or x 5 1.62 3 a x 5 21.78 or x 5 0.28 b x 5 22.35 or x 5 0.85 c x 5 22.28 or x 5 20.22 4 a x 5 20.67 or x 5 1 b x 5 1.33 or x 5 21 c x 5 20.26 or x 5 1.26 5 a y 5 x 1 2 b y 5 22x 2 1 6 a y 5 2 x 2 3 b y 5 3x 2 5 x 10 5 x x x 24 © <strong>Pearson</strong> Education Ltd 2010
Exercise 112 (Revision) 1 a 22.6, 2.6, y 5 7 b 0, 1, y 5 x c 21.3, 2.3, y 5 x 1 3 d 22.6, 1.6, y 5 4 2 x e 1, y 5 2x 2 1 f 22.4, 0.4, y 5 1 2 2x 2 a 21.6, 0.6, y 5 0 b 21, 0, y 5 21 c 22, 1, y 5 1 d 22.6, 1.6, y 5 3 e 23.3, 0.3, y 5 22x f 21, 1, y 5 x 3 a y 5 2 b y 5 x c y 5 1 2 x d y 5 3 1 2x 4 a y 5 0 b y 5 23 c y 5 3 d y 5 x 5 x 5 0.6 or x 5 3.4 6 x 5 21.4 or x 5 3.4 Exercise 112* (Revision) 1 a 0.4, 2.6, y 5 0 b 20.8, 3.8, y 5 4 c 0.3, 3.7, y 5 x d 20.2, 4.2, y 5 x 1 2 e 21.4, 3.4, y 5 6 2 x f 21.3, 2.3, y 5 4 2 2x g k 5 22.25 2 a y 5 21 b y 5 6 c y 5 x d y 5 2x 1 2 e y 5 24x 1 3 f y 5 22x 2 2 3x 3 (2, 3) 4 (72, 14) 5 x 5 1.14 or 22.64 6 x 5 1.14 or 22.64 3 4 a Object Transformation Image B Rotation Centre (0, 0) Angle 90° A A Translation Vector ( 3 1 ) C B Rotation Centre (1, 2) Angle 90° C A Rotation Centre (0, 21) Angle 90° F F Translation Vector ( 0 2 ) E A Rotation Centre (21, 0) Angle 90° E A Rotation Centre (0, 0) Angle 180° G G Translation Vector ( –2 0 ) H A Rotation Centre (21, 0) Angle 180° H B Rotation Centre (21, 1) Angle 290° H H Translation Vector ( 2 0 ) G B Rotation Centre (0, 0) Angle 290° G Exercise 113 1 A C y 6 4 2 P E Mathematics B 6 4 2 0 2 4 6 x D B 2 2 4 F 6 Object Reflection in line Image A x 5 B F x 5 G G x 5 F A x 7 C D x 12 B G x 9 H K x 24 J I x 12 G H x 18 K E x 10 A J x 15 G D x 17 E c Rotation 90° about (0, 0) Exercise 113* 1 a (1, 22) b (1, 2) c (1, 10) d (1, 18) e (4, 1) f (5, 2) g (6, 3) h (12, 9) 2 a c Rotation290° about (0, 0) © <strong>Pearson</strong> Education Ltd 2010 25
Page 1 and 2: Answers Exercise 1 Exercise 6 (Revi
Page 3 and 4: 7 Infinity (vertical line) 8 2
Page 5 and 6: 5 P Exercise 23* 1 a A B 20 10 m 1
Page 7 and 8: Multiple choice 1 1 C 2 C 3 B 4 D 5
Page 9 and 10: Exercise 41 1 2 3 4 5 x 0, x
Page 11 and 12: 23 y 24 2 y Exercise 48 1 45°
Page 13 and 14: Exercise 52* (Revision) 1 a mean 5
Page 15 and 16: 4 x 5 7, y 5 3 5 (0.5, 0.75) 6 x 5
Page 17 and 18: Exercise 74 1 a Score 1
Page 19 and 20: 5 a x 20 30 40 50 60 70 80 y 12 22.
Page 21 and 22: Exercise 91 6 1 a p(odd) 5 __ 10
Page 23: 12 x 5 2 5_ 3
Page 27 and 28: Exercise 116* (Revision) 1 A(1, 25)
Page 29 and 30: Exercise 118 (Revision) 1 a F.D. 3
Page 31 and 32: Exercise 123*
Page 33 and 34: 3 Function 4 Function 5 Fun
Page 35 and 36:
Page 37 and 38: 5 x 5 214.2 or x 5 0.211 6 x 5 0.25
Page 39 and 40: Exercise 157 (Revision) 1 y y x 2
Page 41 and 42: 3 A B A B Exercise 166 (Revision)
Page 43 and 44: Exercise 175 1 12, 8 or 28, 212
Page 45 and 46: Exercise 183* 1 247 km, 280° 2 14.
Page 47 and 48:
Page 49 and 50: Exercise 209 1 a ___ › XY
Page 51 and 52: 19 a 3 6 b 3 2 c 3 3m d 3 1
Page 53 and 54: 5 4 9 a y 2 P ($ × 10 4 ) 3 2 -1 0
Page 55 and 56: A B 11 a a i c k e g d f 2.0 1.5 2

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