Expressions, Formulae & Equations – CW & HW Answers Ms Briffa

Book Pg 55 No 1

1. (a) 5a (b) 31m

(c) 12b + 3 (d) 3g + 3

(e) 4y – 5 (f) 0r + 11p = 11p

(g) 4 - 3 (h) 0r + t = t

Practice Book Pg25 No 3a

3. (a) (i) (a + 2) + (3a – 5) + (2a – 1) = 6a – 4

(ii) (a + b) + 2a + a + 2a = 6a + b

(iii) (3a – 2) + (b + 1) + (3a – 2) + (b + 1) = 6a - 2

Practice Book Pg25 No 1

1. (a) 5 (b) 19c

(c) 15a + 3 (d) 7d + 15

(e) 3h – 3m (f) 11r + 0s = 11r

(g) 7f – 2g (h) -4t + 3w

Expressions, Formulae & Equations – CW & HW Answers Ms Briffa

Book Pg 59 No 2, 5, 6

1. (a) 15 + 35 (b) 8a + 20 (c) 24 + 16c

(d) 15t - 3 (e) 7 – 14n (f) 18 – 12y

(g) 100a + 200 (h) 100a + 200 (i) 100a + 200

1. John = 3n – 1 Mary = 3(n – 1) = 3n – 3

Therefore John has more sweets, since he has only 1 sweet less than 3n.

2. (a) 5b – 10 + 8 – 4b = b – 2 (b) 3d + 6 – 2d – 2 = d + 4

Book Pg 59 No 3, 4

3. (a) 3( + 2) (b) 2( + 5) (c) 2(5 +1)

(d) 2(5 – 1) (e) 5( + 3) (f) 15(f – 3)

(g) 10(3s – 4) (h) 6(2b + a) (i) 24(2 – a)

4. (a) 4(a + 2) (b) 4(3g + 1) (c) 6(3k - 2)

(d) 6(4f – 3g) (e) 3(5r + 1) (f) 7(3t – 1)

(g) 4(h + 4) (h) 4(2i + 1) (i) 8(j – 1)

Expressions, Formulae & Equations – CW & HW Answers Ms Briffa

Book Pg 135 Nos 1 – 4

1. (a) (7 x 2) + (4 x 5) – (3 x 3) = 14 + 20 – 9 = 25

(b) (7 x 6) + (4 x -7) – (3 x 2) = 42 + – 28 – 6 = 8

(c) (7 x 0.1) + (4 x 0.2) – (3 x 0.9) = 0.7 + 0.8 – 0.9 = 0.6

(d) (7 x 0.5) + (4 x – 0.1) – (3 x 0) = 3.5 + – 0.4 – 0 = 3.1

2. (a) S = Total score

t = a try

c = a conversion

g = goal kick

(b) (i) S = (5 x 2) + (2 x 1) + (3 x 8) = 10 + 2 + 24 = 36

(ii) S = (5 x 10) + (2 x 7) + (3 x 12) = 50 + 14 + 36 = 100

3. (a) (5 x 2 x 2) + (3 x 3) = 20 + 9 = 29

(b) (5 x 3 x 3) + (3 x 7) = 45 + 21 = 66

(c) (5 x 10 x 10) + (3 x 30) = 500 + 90 = 590

(d) (5 x 5 x 5) + (3 x 10) = 125 + 30 = 155

Expressions, Formulae & Equations – CW & HW Answers Ms Briffa

4. (a) (7 x 3) x (3 + 2) = 21 x 5 = 105

(b) (7 x 5) x (5 + -2) = 35 x 3 = 105

(c) (7 x 0) x (0 + 37) = 0 x 37 = 0

(d) (7 x 10) x (10 + - 3) = 70 x 7 = 490

Practice Book Pg 57 No 1 – 3

1. (a) (4 x 5) – (7 x 3) + 5 = 20 – 21 + 5 = 4

(b) (4 x 2) – (7 x 5) + 5 = 8 – 35 + 5 = – 22

(c) (4 x – 1) – (7 x – 4) + 5 = – 4 – – 28 + 5 = 29

(d) (4 x 0.9) – (7 x 0.2) + 5 = 3.6 – 1.4 + 5 = 7.2

2. (a) (6 x 3 x 3) – (4 x 2) = 54 – 8 = 46

(b) (6 x 5 x 5) – (4 x 10) = 150 – 40 = 110

(c) (6 x 2 x 2) – (4 x 3) = 24 – 12 = 12

(d) (6 x 10 x 10) – (4 x 20) = 600 – 80 = 520

3. (a) A = ½ x 4 x 5 = 10 cm²

(b) A = ½ x 12 x 7 = 42 cm²

(c) A = ½ x 5.0 x 2.4 = 6 cm²

(d) A = ½ x 1.6 x 3.5 = 2.8 cm²

Expressions, Formulae & Equations – CW & HW Answers Ms Briffa

Book Pg 165 No 1, 2

1. (a) p = 6 (b) f = 4 (c) h = 11 (d) b = 5

(e) g = 20 (f) k = 1 (g) a = 4 (h) s = 6

(i) r = 4 (j) n = 6 (k) c = 15 (l) d = 6

(m) g = 25 (n) t = 36 (o) f = 6 (p) k = 9

(q) m = 4 (r) r = 64 (s) = 20 (t) y = 7

2. (a) = 2 (b) a = 7 (c) f = 3

(d) g = 3 (e) p = 4 (f) j = 3

(g) n = 3 (h) b = 4 (i) k = 4

Book Pg 167 No 1

1. (a) n = 2 (b) p = 3

(c) r = 2 (d) b = 3

(e) f = 1 (f) w = 1

(g) k = 1 (h) = 8

(i) c = 3 (j) m = 4

Expressions, Formulae & Equations – CW & HW Answers Ms Briffa

Book Pg 169 No 1, 2

1. (a) (i) d = 3 (ii) h = 6

(iii) m = 4 (iv) b = 1

(v) = 2 (vi) a = 5

(vii) c = 1 (viii) y = 5

(ix) n = 2 (x) p = 2

2. (a) b = 1 (b) f = 6

(c) e = 7 (d) a = 1

(e) g = 3 (f) n = 2

Practice Book Pg 72 No 4 a, b

4. (a) Perimeter Shape 1 = 2a + 3 + a + 3 = 3a + 6

Perimeter Shape 2 = (3a – 2) + a + (3a – 2) = 7a - 4

(b) 3a + 6 = 7a – 4 a =

Expressions, Formulae & Equations – CW & HW Answers Ms Briffa

Book Pg 171 No 1, 2

1. (a) p = parcels

(b) 2p + 16

(c) 5p + 4 = 2p + 16

(d) p = 4

2. (a) (i) 4 + 2 (ii) 2 + 4

(b) 4 + 2 = 2 + 4

(c) = 1