Chapter
(^1)
281
P1^
2 (i) a + 6 a + 75 = 180
(ii) 15°, 75°, 90°
3 (i) 2(r − 2) + r = 32
(ii) 10, 10, 12
4 (i) 2 d + 2(d − 40) = 400
(ii) d = 120, area = 9600 m^2
5 (i) 3 x + 49 = 5 x + 15
(ii) $1
6 (i) 6 c − q − 25
(ii) 6 c − 47 = 55 : 17 correct
7 (i) 22 m + 36(18 − m)
(ii) 6 kg
8 (i) a + 18 = 5(a − 2)
(ii) 7
Exercise 1C (Page 12)
1 (i) a=vut–
(ii) (^) t=vua–
(^2) h=Vlw
3 r= Aπ
4 (i) s=vua
22
2
(ii) uv=±^2 – 2 as
(^5) h Ar
= r
–2
2
π^2
π
6 a=^2 (–sut 2 t)
7 bh=±^22 – a
8 g l
T
=^4
2
2
π
9 m E
gh v
- 2
2 2
10 R=RRRR+^12
12
11 h=ab^2 +A
12 u=vffv–
13 d=ufu
2
-^
14 V=Mp(–mRTp)
12
●?^ (Page^ 12)
1 Constant acceleration formula
2 Volume of a cuboid
3 Area of a circle
4 Constant acceleration formula
5 Surface area of a closed cylinder
6 Constant acceleration formula
7 Pythagoras’ theorem
8 Period of a simple pendulum
9 Energy formula
10 Resistances
11 Area of a trapezium
12 Focal length
13 Focal length
14 Pressure formula
●?^ (Page^ 17)
100 m
Exercise 1D (Page 18)
1 (i) (a + b)(l + m)
(ii) (p − q)(x + y)
(iii) (u − v)(r + s)
(iv) (m + p)(m + n)
(v) (x + 2)(x − 3)
(vi) (y + 7)(y + 3)
(vii) (z + 5)(z − 5)
(viii) (q − 3)(q − 3) = (q − 3)^2
(ix) (2x + 3)(x + 1)
(x) (3v − 10)(2v + 1)
2 (i) a^2 + 5 a + 6
(ii) b^2 + 12 b + 35
(iii) c^2 − 6 c + 8
(iv) d^2 − 9 d + 20
(v) e^2 + 5 e − 6
(vi) g^2 − 9
(vii) h^2 + 10 h + 25
(viii) 4 i^2 − 12 i + 9
(ix) ac + ad + bc + bd
(x) x^2 − y^2
3 (i) (x + 2)(x + 4)
(ii) (x − 2)(x − 4)
(iii) (y + 4)(y + 5)
(iv) (r + 5)(r − 3)
(v) (r − 5)(r + 3)
(vi) (s − 2)^2
(vii) (x − 6)(x + 1)
(viii) (x + 1)^2
(ix) (a + 3)(a − 3)
(x) x(x + 6)
4 (i) (2x + 1)(x + 2)
(ii) (2x − 1)(x − 2)
(iii) (5x + 1)(x + 2)
(iv) (5x − 1)(x − 2)
(v) 2(x + 3)(x + 4)
(vi) (2x + 7)(2x − 7)
(vii) (3x + 2)(2x − 3)
(viii) (3x − 1)^2
(ix) (t 1 + t 2 )(t 1 − t 2 )
(x) (2x − y)(x − 5 y)
5 (i) x = 8 or x = 3
(ii) x = −8 or x = − 3
(iii) x = 2 or x = 9
(iv) x = 3 (repeated)
(v) x = −8 or x = 8
6 (i) x = 23 or x = 1
(ii) x = –^23 or x = − 1
(iii) x = –^13 =or^13 x = 2
(iv) x = –^45 orx=^45
(v) x = 23 (repeated)
7 (i) x = −4 or x = 5
(ii) x = −3 or x = (^43)
(iii) x = 2 (repeated)
(iv) x = −3 or x = (^52)
(v) x = −2 or x = 3
(vi) x = 4 or x = (^23)