Answers
Answers
1A Chapter 2
Warm-up Exercise (p.1)
1.
2.
(a)
(c)
(e)
(g)
(a)
(c)
(e)
(g)
7
6
5
–9
16
–7
–2
–5
(b)
(d)
(f)
(h)
(b)
(d)
(f)
(h)
3
–4
–10
12
–18
20
4
–16
13.
14.
15.
Section 2.1
Level 1 (p.2)
1.
(a) a + 5
(c) m – 7
2.
3.
5.
6.
b+4
8 – (n + 5)
(a)
8n
(b)
A
6
(c)
7r – 6
(d)
4b
a
(a)
x2
(b)
(uv)3
(c)
4.
(b)
(d)
(a)
(b)
(a)
(a)
p
q6
Add the product of p and q to 6.
Subtract b from a, and then divide the result by 4.
8y
(b) 5x + 8y
5x
(b) 7a
Level 2 (p.4)
7.
(a) x + 8
(c) 2x – 5
(e) 7x – 10y
8.
(a) 3a
(b)
(d)
(f)
(b)
4–y
x + 3y
(9 + 8y) – 6
2b
(c)
b
4a
(d)
ab
(e)
a
–8
5
(f)
3a + 8b
9.
(a)
(c)
r2 + s
2 – s3
(b)
(d)
3 2r
s – r6
10.
(a)
pq – (x + y)
(b)
4m
ab
11.
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
(i)
x plus 1.
y minus x.
Divide a by b.
5 times the square of b.
The product of r and s minus 4.
Divide 3 by the square of r.
x minus the sum of y and z.
Subtract q from p, and then multiply the result by 2.
Divide 4 by b, and then minus the product of 3 and
a.
The product of b and c is divided by the cube of a.
4
12.
(j)
(a)
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16.
18.
20.
22.
24.
26.
28.
(b) 1
(c) a and 3a
(d) a and –4b (or other reasonable answers)
(a) 4
(b) 3 and 4
(c) 3 and 4
(d) –2x and –x2 (or other reasonable answers)
(a) 6
(b) –2, 1 and –4
(c) 2n and –5n; –2, 1 and –4
(d) 2n and n2 (or other reasonable answers)
(a) 5
(b) 4
(c) –5n and –3n; –m2 and –6m2
(d) –5n and –m2 (or other reasonable answers)
3x
17. –2a
5y
19. b
17x
21. 5m
6n – 3
23. 6x + y
9a + 6b
25. 3a + 3b
6p + 4q
27. –x
$30n
29. (x + y) kg
30.
L
cm
4
32.
34.
35.
2(M – 4)
4(12 – n) marks
(a) 3k years old
36.
pq 6
n
38.
(4s + 9) cm
Level 3 (p.6)
39. 4x
41. 3N – 6
31.
35 – A
33.
$(7e + 3f )
(b)
(3k – m) years old
37.
3x + 3
40.
6(2m – 4)
Multiple Choice Questions (p.6)
42. C
43. D
44. D
Section 2.2
Level 1 (p.7)
1.
20
2.
$12
Level 2 (p.7)
3.
(a) yes
(c) no
4.
250
6.
–12
8.
2
10. 2
12. 1
(b)
(d)
5.
7.
9.
11.
13.
yes
no
90
36
–7
3
7
–18
15.
14.
3
2
1
Answers
16.
18.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
8
11
(a)
(a)
(a)
(a)
(a)
(a)
(a)
(a)
(b)
(a)
(a)
(b)
17. 3
19. 11
18 g
(b) 42 g
88
(b) 16
50 cm2
(b) 200 cm2
0.55 hours
(b) 1.12 hours
39 m
(b) 54 m
1g
(b) 0.25 g
120
(b) 455
C = 3(1200x + 1800y)
$93 600
T = 50x + 80y (b) yes
$320 when x = 2; $2560 when x = 4
no
16.
(b)
(a)
(b)
no
2h – 30 = 200
yes
17.
(a)
7m
=m–3
8
(b)
no
18.
19.
(a)
(a)
2n = 28
3(p + 30) = 5p
(b)
(b)
no
yes
20.
(a)
W
< 50
8
(b)
(i)
no
(ii)
no
(a)
(b)
m + 10 50
(i) no
(ii)
yes
(a)
(b)
(a)
(b)
2B + 16 80
(i) yes
(ii)
3(n + 8) + 5n < 200
(i) yes
(ii)
21.
22.
23.
Level 3 (p.10)
30. (a) 7
31. (a) (i)
(ii)
(b) no
32.
(a)
(b)
(b) yes
2 million dollars
1.8 million dollars
5x 6 y
8
x = 2, y = 1; x = 4, y = 6
(or other reasonable answers)
Multiple Choice Questions (p.11)
33. A
34. C
35. C
Level 1 (p.12)
1.
(a) no
2.
(a) y + 6 = 8
3.
12.
13.
14.
15.
2
yes
4s = 24
(c)
6n = 96
(d)
3m
= 36
4
(a)
h > 1.4
(b)
n<6
(c)
C 38
(d)
v 1000
Level 2 (p.13)
4.
no
6.
yes
8.
yes
10. (a) x + 5 = –2
11.
(b)
(b)
5.
7.
9.
(b)
yes
no
no
3x – 8 = 9
no
Level 3 (p.15)
24. (a) n + 26 = 3n + 10
(b) 8 years old
25. (a) 2m2
(b) 98, 128 (or other reasonable answers)
Multiple Choice Questions (p.16)
26. A
27. B
28. D
Section 2.4
Level 1 (p.17)
1.
(a) –10, –12
2.
9, 11, 13, 15
Section 2.3
no
(b)
11, 13
Level 2 (p.17)
3.
13, 16
4.
–7, –9
5.
48, 96
6.
1,
7.
6 7
,
5 5
8.
49, 64
9.
11.
21, 28
0, 1, 2, 3
10.
12.
13, 21
5, 10, 15, 20
13.
1, –2, –5, –8
14.
1 1 1 1
, , ,
3 5 7 9
15.
–1, 0,
1 1
,
3 2
16.
2 5 10 17
, ,
,
3 6 9 12
17.
–3, –11
18.
15, 45
1
3
(c)
7h
= 14
2
(d)
3b = 27
(e)
2(2x – 2) = 48
(f)
36 – m = 2m – 9
(a)
y < 25
(b)
n 38
19.
20.
1
15
(c)
h 130
1
3
,
5
8
(d)
6p > 480
(e)
(a)
(c)
(a)
(c)
(a)
(a)
3m 60
no
yes
yes
yes
n + 18 = 30
2v + 200 = 900
21.
23.
3n2
2(3n)
22.
24.
2n
(n + 1)2
(b)
no
25.
(a)
n2
n 1
(b)
22
21
26.
(a)
2n 1
2n
(b)
17
18
27.
(a)
3n + 3
(b)
30
(b)
(b)
no
no
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Answers
Level 3 (p.19)
28. 90
29.
(a)
2n 5
n 1
(b)
yes
30.
(a)
33
(b)
n+2
Multiple Choice Questions (p.19)
31. D
32. C
33. D
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