Unit 3 Booklet

ANSWERS
Algebraic operations
Exercise 1
1. (a) 3 / 5 (b) 1 / 3 (c) 3 / 4 (d) 3 / 4 (e) 1 / 4 (f) 4 / 5 (g) 2 / 3 (h) v /w
(i) s /t (j) b /c (k) 1 /d (l) 1 /m (m) a / 4 (n) 8 /z (o) x (p) 1 /d
(q) 5x / 6 (r) v / 2w (s) 2y (t) a / 3b (u) q / 3 (v) 1 /b (w) y (x) 3 / 7
(y) 5 / 2q (z) 2x /y (aa) 1 /(x + 1) (ab) 1 /(x Ð 5) 3
2. (a) x + 4 (b) x + 2 (c) x Ð 4 (d) x Ð 2 (e) 1
2
3
5
x + 3
(f) 1 (g) 1 (h) 4 (i) x Ð y (j) q + 1
x Ð 3
x + 3 2x Ð 5
(k) v + 1 (l) 1 Ð a
3. (a) 2 (b) 3 (c) 1 / 3 (d) g (e) 2 / 5
(f) 3 / 7 (g) 4 (h) x /8 (i) x + 1 (j) y Ð 3
(k) a + 5 (l) 1 x Ð 1
3v + 1 y + 1
/(w Ð 10) (m) x + 1 (n) v + 2 (o) y + 3
(p)
2x Ð 3
x + 4
Exercise 2
1. (a) 1 / 5 (b) 1 / 9 (c) 1 / 2 (d) 2 (e) 2 (f) 3 (g) 7 / 2 (h) 16 / 3
(i) ac /bd (j) xv /yw (k) m 2 (l) 1 (m) x 2 (n) x 2 (o) a 2 (p) 1
(q) a n 2 10 7 25
/d (r) x (s) a (t) a 2
2. (a) 1 / 2 (b) 1 / 4 (c) 1 / 6 (d) 1 / 4 (e) 3 / 2 (f) 1 / 4 (g) 2 (h) 5
(i) a (j) b / 3 (k) r 2 /3 (l) 1 (m) ad (n) 1 / 5w (o) 1 /a (p) dx / 2y
(q) a (r) 2 / 5
3. (a) 7 / 12 (b) 11 / 12 (c) 11 / 20 (d) 8 / 15 (e) 2 / 15
(f) 1 / 14 (g) 7 / 10 (h) 3 / 10 (i) 3 / 8 (j) 9 / 10
(k) 2x + 3a (l) 2c + 5d (m) 4e Ð 3h (n) 2m Ð n (o) 4x + 3k
6
10
12
8
6
(p) 5u Ð 4w (q) 8r + 5s (r) 5a Ð 6d (s) 4x + 9y (t) 15x + 8u
10
10
15
6
20
4. (a) 2y + 3x (b) 5b Ð 2a (c) 4d + c (d) q Ð 2p (e)
xy
ab
cd
pq
2w + 2v
vw
Mathematics Support Materials: Mathematics 3 (Int 2) Ð Student Materials 39