Practice questions 2.2
1. (i) 3x + 6 (ii) 5a + 20 (iii) 6y + 42 (iv) 6d − 8 (v) 21h − 28 (vi) 6x − 15
2. (i) −2x2 (ii) −12x2 (iii) −24m2
− 3x + 6x
(iv) −2g − 5g2 (v) −12x2
3. (i) −8n + 17 (ii) −4b + 2 (iii) −2a + 16 (iv) 27 − 9x (v) 5x + 9 (vi) −d − 17
4. (i) 8w + 2 (ii) 7e − 1 (iii) 18 (iv) −12z2 t2
(v) − 7t (vi) −x − 2
5. (i) 0 (ii) 2p (iii) 8a3 (iv) −8x3
6. (i) 2x2 (ii) x2 (iii) x2 (iv) x2
− 8x2 + 16x
7. (i) 6x3 (ii) 2x3 (iii) 4x3 (iv) 4x3
8. (i)
__ 3
8x (ii) −2x
____ 5
(iii) 83b + 55 (iv) −12a − 39
_______ 30
________ 24
9. (i) (ii) (iii) (iv) 10. (i) (ii) (iii)
__________ (x − 3)(x + 4) 7x + 3
__________ (x + 3)(x − 2) 3x − 2
10x
__________ (x − 3)(x + 5) 7x − 20
___________ (x − 3)(3x − 6)
(iv) 75x2
___________ (2x − 7)(x − 3)
7x − 12 2x − 4
11.(i) ab + ac (ii) ab + ac
13.(i) 20a2 (ii) b2
(iii) 3ab
14.(i) b2 (ii) b2
+ 3ab + 2a2 − 2ab
− a2 (iii) 3ab − 6a2 Practice questions 2.3
1. (i) 6(s + 5t) (ii) 21(u − 2v) (iii) a(c − b) (iv) 5b(5a − 7x) (v) 3x(7x − 8) (vi) 11q(3q − 2)
______________ (3x − 5)(5x − 6)
−178x + 100
___________ (2x + 4)(x − 8)
__________ (x − 5)(x − 2) −3x − 16
+ 3x + 1 + 3x + 2 + 2x − 15 − 8x + 16 + 14x2 + 5x2
− 17x2 + 7x2
+ 4z + 8
+ 30m − 8xy
(vi) −8xy + 16x2
2. (i) 4m(3n + 2) (ii) u(3v + 4w) (iii) 9m(2p + n) (iv) 9xz(3y + 5) (v) 8yz(3x + 2) (vi) 3x(3x + 1 + 5x2
3. (i) −25ab2 (ii) −4x(x4
4. (i) (ii) 5. (i) 6. (i) 7. (i) 8. (i)
(iii) abc(b + a − c) (iv) n(l2
mn − m2
19.t = q2
)
c( − 1 + 2ac) + 4x3
z + 2y3 + ln)
(7x + 5)(y − 7) (8x + 1)(2y − 7)
(ii)
(iii) (4u + 3)(8v − 5) (iv) (5x + 6)(2y + 5) (5b + 2)(2a + 3) (x − 2)(5y − 8)
(ii)
(iii) (7 − 6b)(1 − 2a) (iv) (3x − 7)(2x + 3y) (4a + 5x)(b + c) (q + 4)(x + y)
(ii)
(iii) (2b + 17)(c − d) (iv) (5s + 2q)(a − 2b) (t + 16)(p − 2) (v + 2d)(u − c)
(iii) (i − 2g)(h − 4j) (iv) (16 − r)(s − 2) (2x − 5)(3x2
(ii) + 1) (2a + 3b)(2a − 7b2
(iii) (1 − 3x)(7 + y) (iv) (4y − 5)(2x − 3)
Practice questions 2.4 1. c = 1 − d
+ x − 2 + x − 2
+ 10x + 2 + 27x − 15
____ 3
2. a = 6 + 2b 3. pj = m 4. c = a − b 5. p = r − 3q
____ 3
6. b = −2c + 3a 7. 3x − y
_____ 2
______ 4
_____ −2 = z
8. 2x − y = t 9. p = 4r − 2q 10.(i)
(ii)
___ wh = l v
v (iii) v
______ 7
__ lh = w
_ lw = h
11.(i) A = l × w (ii) A
__ w = l
(iii) 7cm
12.(i) h = 5 (ii) √
13.a = c − 3 14.a = −b 15.x = y2
____ 1 + y
16.(i) 4y − 5 = x (ii) 12y + 6 = x (iii) 9y + 20
______ 12 = x
17.(i) (ii) (iii)
_____ 6b − 1 = a b
b
______ −4b − 2 = a 4n
18.x = y2
____ 1 + y
Answer key 369
______ −8n − 3 = a
____ 2 − b
_____ bc − 5
_ h2
− b2 (iii) p = 6 = p ) )
23.x2 24.b2 25.y2 26.b2
20.√ + 4b = a 21.√ + 15q = p 22.√ − 6b = a
______ 1
____ p − q
_______ 1
______ c2
______ 1
+ 4 = y
______ c2
− 6b + 10 = a − 4y + 7 = x
− 10b + 26 = a
27.a = −4c + 10 28.a = 4 − 6c
Practice questions 2.5
1. (i) x = 8 (ii) x = 44 (iii) x = 2 (iv) f = 0 (v) p = 8 (vi) x = 7
2. (i) x = 2 (ii) y = −4 (iii) x = −1 (iv) −4 = x (v) x = 2 (vi) x = 1
3. (i) x = 3 (ii) x = 2 (iii) x = 2 (iv) x = 3 (v) h = 2 (vi) x = 1
4. (i) x = 80 (ii) x = −24 (iii) x = 100 (iv) x = 7 (v) x = 5 (vi) x = 10
5. (i) x = 2 (ii) n = −11 (iii) y = 7 (iv) t = 1 (v) x = 5
6. (i) b = 1 1 (ii) n = 4 2 (iii) a = 3 1
__ 3
__ 3
__ 5
(iv) x = 7 (v) n = −8 (vi) m = 10
7. x = 43 8. (i) €275 (ii) 2⋅5 hours
9. (i) 6⋅75 tonnes (ii) 7.5 pallets
10.(i) €185 (ii) 2 500 flyers
11.(i) €485 (ii) 27 weeks
12.(i) 40x = 800 (ii) x = €20
13.(i) x + 5 = 41 (ii) x = 36 (iii) 1
14.(ii) n = 105
__ 3 of the Third-Year students
_______ r2
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