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)