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​<br />

​<br />

Mathematics B<br />

7 a ​(<br />

​ 2x 1 2 y<br />

2x ​ ​ 21 1 2y ​ ​ 23<br />

4<br />

5x 3 1 5y<br />

c x 5 22, y 5 3<br />

21 ​ ) ​ b ​ (<br />

27<br />

3 1 x 2 y ​ ​ 28<br />

5 2 x 1 2y ​ )​<br />

Multiple choice 6<br />

1 C 2 D 3 B 4 C 5 A<br />

6 A 7 D 8 A 9 B 10 D<br />

Self-assessment 6<br />

1 $546<br />

2 ¥4098 : R1596 : R9222<br />

​<br />

​<br />

​<br />

​<br />

3 a y 5 8x b y 5 80 c x 5 5<br />

1<br />

4 a y 5<br />

___<br />

64 ​x3 b y 5 512<br />

48<br />

5 a y 5<br />

___<br />

x ​ b y 5 6 c x 5 4<br />

9000<br />

6 a N 5<br />

_____<br />

d 2 ​ b N 5 2250 c d 5 3<br />

7 a A 5 15h 2 b A 5 135 m 2 c h 5 6 m<br />

8 a x 5 60°, y 5 60°, z 5 55° b x 5 40°, y 5 70°, z 5 40°<br />

9 a BP 5 1.6 cm b CQ 5 4 cm<br />

10 20.1 cm, 30.2 cm 2<br />

11 a 28.6° b 3.02 cm<br />

12 {22, 17, 12, 7, 2}<br />

13 a 263 b 598 c 3 2 2x (3 2 x)<br />

d (3 2 2x)(6 2 2x)<br />

1 2 x<br />

14 a<br />

_____<br />

3 ​ b 1__ ​ x<br />

c x is equal to either of the answers below<br />

x 5 22.30278, x 5 1.30278<br />

2<br />

d ​( 21 2 ​<br />

3__ ​ x )​ ​<br />

​ ​ ​ 15 a 99 b 4 c x 5 20<br />

16 a ​( ​ 21 5)​ b ​(<br />

3<br />

21)​ c √___ 41 ​<br />

17 a 5 1 b 5 23<br />

1 4<br />

22 1 )​<br />

18 a ​( ​ 2 4 28<br />

28<br />

​<br />

22)​ b ​( ​27<br />

Exercise 146<br />

4 27 ​ )​ c ​ 1__<br />

9<br />

​ ​(<br />

​ ​<br />

​<br />

1<br />

1_<br />

9 ​ 2 __ 1<br />

10 ​ 3 1_<br />

8 ​ 4 1_<br />

8 ​ 5 9<br />

1<br />

6<br />

__<br />

64 ​ 7 3 8 2 9 __ 1<br />

16 ​ 10 1_<br />

9 ​2<br />

11<br />

__ 1<br />

16 ​ 12 1_<br />

2​ 13 16 14 625 15 2.84<br />

16 0.167 17 0.0123 18 46 700<br />

19 0.0370 20 0.111 21 64<br />

22 a 23 c 23 24 e<br />

25 a 22<br />

Exercise 146*<br />

​<br />

​ 1<br />

1<br />

__<br />

64 ​ 2 5 3 1 4 512<br />

5 12.5 6 4 7 10 8 8<br />

9<br />

1_<br />

2 ​ 10 2 __ 1<br />

36​ 11 0.364 12 1.92<br />

13 0.001 37 14 a 2 15 2c 24 16 3a 22<br />

​<br />

17 12a 21 18 a 19 c 21 20 2<br />

21 2 22 23 23 k 5 2​<br />

1_<br />

3​ 24 a23<br />

25 b 26 2a 22 27 5a 22 28<br />

1_<br />

29 29a 6 30 ​<br />

b_<br />

a ​<br />

Exercise 147<br />

1 ​<br />

1_<br />

3 ​ 2 ​ 1_<br />

4 ​ 3 ​ 1_<br />

9 ​ 4 ​ 1_<br />

4 ​<br />

1<br />

5 27 6 ​ __<br />

27​ 7 0.224 8 0.376<br />

9 36.5 10 0.0540 11 b 21 12 d<br />

13 f 21<br />

Exercise 147*<br />

1 ​<br />

1_<br />

6 ​ 2 6 3 16 4 ​ __ 1<br />

16 ​<br />

5 1.29 6 0.894 7 2.85 8 0.351<br />

3 ​<br />

​<br />

9 a 22 10 c 2 11 e 12 9<br />

13<br />

__ 1<br />

36 ​<br />

Exercise 148 (Revision)<br />

1<br />

1 ​ __<br />

16 ​ 2 10 3 4 4 8 5 5<br />

1<br />

6 5 7 ​ __<br />

64 ​ 8 ​ 1_<br />

4 ​ 9 ​ __ 1<br />

11 ​ 10 9<br />

1<br />

11 ​ __<br />

81 ​ 12 27 13 3​6​2 ​ 1_<br />

2 ​5 ​ ____ 1<br />

3​6​<br />

​ 1_<br />

2 ​ ​ ​ 5 ​ ____ 1<br />

√ ​ 36 ​ 5 ​ 1__ ​ 6<br />

14 ​9​<br />

​ 3_<br />

2<br />

​5 ​( ​9​<br />

​ 1_<br />

2 ​ ​ ) ​ 3 ​5 ​( √ ​ __ 9 ​ )​ 3 ​5 3 3 5 27 15 a 2 16 a 4<br />

17 d 22 18 ​b ​ 2​3 _ ​ 2 19 ​b ​<br />

​ 5_<br />

2<br />

​ 20 c<br />

Exercise 148* (Revision)<br />

​<br />

​<br />

​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​<br />

1<br />

1<br />

__<br />

32 ​ 2 6 3 1 4 3<br />

5 4 6<br />

1_<br />

7 ​ 7 64 8 8<br />

9<br />

1_<br />

9 ​ 10 ___ 1<br />

625 ​<br />

11 (0.125​)​ 2 2_<br />

3 ​ ​5 ​( ​1__<br />

8 )​ 2 2_<br />

3 ​ 2_<br />

​5 ​( ​8__<br />

1 )​<br />

3 ​ 1_<br />

3<br />

​5 ​( ​8​<br />

) 2 ​5 ​( ​ 3 √ __<br />

8 )​ 2 ​5 2 2 5 4<br />

1_<br />

3<br />

12 ​( ​4​<br />

) 21​ 1_<br />

2 ​ 1_<br />

3<br />

​5 ​( ​4​<br />

) 2 3_<br />

2 ​ ​5 ​4​ 2 1_<br />

2 ​ ​5<br />

1__<br />

1_<br />

2<br />

​4​​ ___ 1<br />

√ 4 5 1__ ​ 2<br />

13 3c 14 5b 22 15 a 2 16 3c 22<br />

17 2a 21 18<br />

7_<br />

​d ​6 ​ 19 29a 6 20 2<br />

Exercise 149<br />

1 x 5 22 or x 5 21 2 x 5 23 or x 5 2 3 x 5 25 or x 5 22<br />

4 x 5 23 or x 5 5 5 x 5 3 6 x 5 26 or x 5 2<br />

7 x 5 21 or x 5 0 8 x 5 0 or x 5 4 9 x 5 2<br />

10 x 5 26 or x 5 6<br />

Exercise 149*<br />

1 x 5 25 or x 5 21 2 x 5 21 or x 5 4 3 x 5 28 or x 5 27<br />

4 x 5 25 or x 5 9 5 x 5 7 6 x 5 25 or x 5 8<br />

7 x 5 0 or x 5 13 8 x 5 0 or x 5 217 9 x 5 9<br />

10 x 5 211 or x 5 11<br />

Exercise 150<br />

1 x 5 ​<br />

7_<br />

​ ​<br />

2 ​ 2 x 5 ___ 9<br />

4<br />

3 x 5 22 or x 5 0<br />

4 x 5 0 or x 5 1 5 x 5 2 or x 5 3 6 x 5 0.5 or x 5 2<br />

7 x 5 21.5 or x 5 21 8 x 5 22 or x 5 21 9 x 5 23 or x 5 3<br />

10 x 5 0 or x 5 2 11 x 5 22 or x 5 2​ _ 1 ​ 12 x 5 − ​ 1_<br />

3<br />

3 ​or x 5 2<br />

13 x 5 22 or x 5 3 14 x 5 22 or x 5 − ​<br />

2_<br />

3 ​ 15 x 5 24 or x 5 ​ 2_<br />

3 ​<br />

Exercise 150*<br />

1 x 5 ​<br />

5_<br />

7 ​ 2 x 5 ​ 8_<br />

3​ 3 x 5 22 or x 5 0<br />

4 x 5 0 or x 5 ​<br />

3_<br />

2​ 5 x 5 1 or x 5 2 6 x 5 1.5 or x 5 2<br />

7 x 5 29 or x 5 2 ​<br />

4_<br />

3 ​ 8 x 5 − ​ 1_<br />

3 ​or x 5 1.5 9 x 5 2 ​ 1_<br />

2 ​or x 5 2 ​ 1_<br />

4 ​<br />

10 x 5 ​<br />

2_<br />

5 ​5 or x 5 5 11 x 5 0.8 or x 5 1.5 12 x 5 − ​ 4_<br />

3 ​or x 5 7<br />

13 x 5 24 or x 5 4 14 x 5 0 or x 5 3<br />

​ 15 x 5 25 (repeated root) 16 x 5 0.25 or x 5 7<br />

17 x 5<br />

2_<br />

3 ​or x 5 1.5 18 x 5 5_<br />

3​(repeated root)<br />

Exercise151<br />

1 x 5 23.45 or x 5 1.45 2 x 5 21.65 or x 5 3.65<br />

3 x 5 25.46 or x 5 1.46 4 x 5 28.16 or x 5 21.84<br />

5 x 5 214.2 or x 5 0.21 6 x 5 21.53 or x 5 21.5<br />

7 x 5 22.90 or x 5 6.90 8 x 5 27.04 or x 5 17.0<br />

9 x 5 23.56 or x 5 0.561 10 x 5 20.541 or x 5 5.54<br />

Exercise 151*<br />

1 x 5 0.171 or x 5 5.83 2 x 5 0.190 or x 5 15.8<br />

3 x 5 27.58 or x 5 1.58 4 x 5 21.69 or x 5 7.69<br />

5 x 5 20.41 or x 5 2.41 6 x 5 0.258 or x 5 7.74<br />

7 x 5 21.00 or x 5 3.50 8 x 5 21.86 or x 5 20.537<br />

9 x 5 0.27 or x 5 22.77 10 x 5 20.522 or x 5 1.09<br />

Exercise 152<br />

1 x 5 23.45 or x 5 1.45 2 x 5 21.65 or x 5 3.65<br />

3 x 5 25.46 or x 5 1.46 4 x 5 1.84 or x 5 8.16<br />

36<br />

© <strong>Pearson</strong> Education Ltd 2010

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