Answers - Pearson Global Schools
Answers - Pearson Global Schools
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Mathematics B<br />
7 Irrational 8 e.g. 3.5 9 e.g. √ __ 7 <br />
Exercise 194<br />
10 e.g. √ __ 2 × √ __ 8 11 <br />
9__<br />
p <br />
1 ______ 5x 1 3<br />
2 ______ 5x 1 4<br />
3 _____ x 2 3<br />
12 a e.g. 3:4:5 b e.g. √ __ 2 : √ __ 6<br />
6<br />
12 4 _______ 8x 1 12<br />
5 ______ 5x 1 3<br />
<br />
15<br />
4<br />
2 :2<br />
c e.g. 1:2: √ __ 5 d e.g. 1: √ __ 6 ______ 4x 2 2<br />
7 _____ 3 2 x<br />
3 :2<br />
3<br />
2 8 ______ 7x 1 2<br />
12 9 ______ 5x 2 1<br />
<br />
6<br />
Exercise 189<br />
Exercise 194*<br />
1 6 √ __ 5 2 4 √ __ 3 3 32 4 20 5 8<br />
6 105 7 2 √ __ 1 _______ 9x 1 13<br />
2 _______ 11x 2 5<br />
3 _______ 1 2 12x<br />
4 _______ 16 2 3x<br />
5 ______ 2x 1 9<br />
<br />
10<br />
12<br />
15<br />
14<br />
8<br />
2 8 4 9 8<br />
6 _______ x 2 230<br />
7 _______ 84 2 7x<br />
8 _____ x 2 6<br />
15<br />
24<br />
72<br />
Exercise 189*<br />
9 ______ 7x 1 1<br />
100 <br />
1 5 √ ___<br />
11 2 4 √ __ 7 3 99 4 96 5 56 √ __ 7 <br />
6 120 √ __ Exercise 195<br />
2 7 9 8 4 9 6<br />
1 ___ 5<br />
6x 2 ___ 1<br />
4x 3 _______ (x 2 4)<br />
2(x 2 2) <br />
Exercise 190<br />
1 2 √ __ 3 2 3 √ __ 2 3 4 √ __ 3 4 3 √ __ 4 ____________ 2x<br />
5 <br />
(x −1)(x 1 1) 5 ____________<br />
(x 1 8)<br />
(x 2 1)(x 1 2) 6 ____________<br />
(x − 15)<br />
(x 1 1)(x − 3)<br />
<br />
5 3 √ __ 3 6 6 √ __ 2 7 √ ___<br />
50 8 √ ___<br />
27 <br />
9 √ ___<br />
7 __________<br />
(x 2 1 x 1 2)<br />
8 __________<br />
(x 2 1 x − 3)<br />
9 ____________<br />
(2x 1 3)<br />
54 10 <br />
1_<br />
2 11 2_<br />
5 12 2_<br />
3 <br />
x(x 1 2)<br />
x(x − 3)<br />
(x 1 2)(x 1 1) <br />
13 12, 10 √ __ 2 , √ ___<br />
26 <br />
10 _________<br />
2(x 1 5)<br />
<br />
(x 1 3)(x 1 1)<br />
Exercise 190*<br />
1 2 √ __ 7 2 3 √ ___<br />
11 3 4 √ __ 5 4 3 √ ___<br />
Exercise 195*<br />
13 <br />
5 5 √ __ 3 6 5 √ __ 3 7 √ ___<br />
75 8 √ ___<br />
80 <br />
1 ____ 17<br />
9 √ ___<br />
63 10 <br />
1_<br />
6 11 __ 9<br />
10 12 __ 7<br />
13 <br />
15x 2 ____________<br />
x − 1<br />
(x 1 3)(x 1 2) 3 _________<br />
x 2 1 x 1 1<br />
4 _____ x<br />
1 1 x<br />
11 x <br />
13 8 cm 2 , 4 √ __ 5 ______ 1<br />
8 cm<br />
(x 1 1) 6 1__ 7 ____________<br />
2x 1 3<br />
x (x 1 1)(x 1 2) 8 ______ 1<br />
(x − 1) <br />
9 ________ 23x 2 2<br />
Exercise 191<br />
(x 1 1) 2 10 _________ 8<br />
<br />
(x − 3)(x 1 1)<br />
√ __ 3 1 ___<br />
3 2 √ __ ___ 5 5 3 √__ 3 4 2 √ __ 2 √ __ 3 2 5 ____<br />
3 Exercise 196<br />
3 √ __ 2 6<br />
____ <br />
2 7 3 √ __ ____ 2 4 8 5 √ __ ____ 3 6 9 (2 1 √ __ ________ 2 ) (3 1 √ __ 3 )<br />
1 2x 2 6 3 __ y<br />
10 ________<br />
x 4 ___ 2a<br />
b 5 ______ (p 2 1)<br />
(p 2 2) <br />
<br />
2<br />
3<br />
6 ______ (r 1 2)<br />
(r 2 1) 7 ______ (x 2 2)<br />
(x 2 4) 8 ______ (x 2 3)<br />
(x 2 5) 9 ______ (x 1 3)<br />
(x 1 4) 10 _____ (x 1 2)<br />
(x 1 5)<br />
Exercise 191*<br />
√ ___<br />
13 1 ____<br />
13 2 √ ___<br />
____ 11 11 3 √__ a 4 b √ __<br />
b 5 2 √ __ Exercise 196*<br />
3 2 1<br />
6 2 √ __ √ __ 3 2 2 1 7 ___<br />
3 8 √ __ ___ 6 3 9 2 1 √__ 5 10 3 1 2 √ __ 1 _______ 2(x 2 3)<br />
7 <br />
(x 1 2) 2 _______ 2(x 2 4)<br />
(x 2 3) 3 ______ 1<br />
(x 1 1) 4 x 1 2 5 ______ (x 1 2)<br />
(x 2 2) <br />
6 ______ (x 2 4)<br />
Exercise 192 (Revision)<br />
(x 1 2) 7 ______ (p 1 4)<br />
(p 2 5) 8 ______ (q 1 2)<br />
(q 1 6) 9 _______ y<br />
(x 1 3y) 10 _____ (x 2 y)<br />
<br />
x<br />
. ___<br />
1 0.3 and √ 25 2 2, for example (answers may vary) Exercise 197<br />
3 e.g. √ ___<br />
11 4 √ ___<br />
45 5 5 √ __ 3 6 √ __ 3 <br />
1 21 2 2 3 <br />
1_<br />
7 18 8 1.5 9 2 √ __ 2 10 3 √ __ 2 4 3 5 28<br />
7 <br />
11 3 √ __ 3 12 <br />
2_<br />
3 13 √__ 5 14 2 √ __ 6 2 <br />
2_<br />
3 7 1_<br />
2 8 230 9 26 10 0<br />
3 <br />
15 <br />
3_<br />
2 16 1 1 √__ 3 17 16 √ __ 2 , 30, 2 √ ___<br />
17 <br />
Exercise 197*<br />
1 <br />
2_<br />
5<br />
Exercise 192* (Revision)<br />
2 15 3 1_<br />
3 4 0 5 15<br />
1 √ __ . . 6 7 7 1 8 <br />
7_<br />
3 2 5<br />
and 0.2<br />
9 2 8_<br />
3 10 2 __ 5<br />
13 <br />
3 2 3, for example (answers may vary)<br />
3 e.g. √ ___<br />
41 4 √ ____<br />
176 5 8 √ __ 5 6 2 √ __ 11 6 km 12 30 km<br />
5 <br />
7 75 8 <br />
5_<br />
3 9 4 √__ 3 10 11 √ __ 2 <br />
Exercise 198<br />
11 19 √ __ 6 12 <br />
3_<br />
5 13 √ __ 1 27, 2 2 1, 2 3 6 4 2 <br />
2_<br />
___ 5 10 14 2 3 <br />
√__ 6 <br />
5 24, 5 6 0, 6 7 21, 4 8 2 <br />
1_<br />
15 2 1 √ __ (2 1 3 √ __ 3 , 2<br />
2 )<br />
6 16 2 17 _________ 18 5 √ __ 3 , 18<br />
4<br />
Exercise 198*<br />
19 √ __ 3 , <br />
1__ √ __ 3 , ___<br />
2 2 <br />
1 22.77, 1.27 2 24, 1 3 4<br />
4 26, 6 5 2 <br />
7_<br />
3, 2 6 20.768, 0.434<br />
7 22, 6 8 60 9 10.5<br />
Exercise 193<br />
1 <br />
3_<br />
2 2 4_<br />
3 3 x__ 4 <br />
y__<br />
y x 5 x 1 2<br />
10 22.5 11 <br />
2_<br />
5 , 2 12 2 2_<br />
3 , 5<br />
1<br />
6 x − 7 7 ______<br />
(x 1 2) 8 ______ 1<br />
(x 1 2) 9 ______ (x 1 y)<br />
(x 2 y) <br />
Exercise 199 (Revision)<br />
1 3 2 x 1 2 3 ______ (x 1 3)<br />
(x 2 3) <br />
Exercise 193*<br />
1 <br />
3_<br />
5 2 7_<br />
3 3 x__ 4 <br />
1__ (x 2 4)<br />
5 ______<br />
y y (x 1 3) <br />
4 ______ (x 2 1)<br />
(x 1 3) 5 ______ (x 2 3)<br />
6 _______ 3x 2 21<br />
<br />
6<br />
20<br />
(x 2 3)<br />
6 ______<br />
(x 1 5) 7 ______ (x 1 3)<br />
(x 1 4) 8 ______ (x 2 2)<br />
(x 2 5) 9 ______ (r 2 3)<br />
23<br />
(r 1 1) 7 ____________<br />
(x 1 1)(x 2 2) 8 ____________ x 1 5<br />
(x 2 1)(x 1 1) 9 __________<br />
x 2 1 2x 2 4<br />
<br />
x(x 2 2)<br />
46<br />
© <strong>Pearson</strong> Education Ltd 2010
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