1a) k + 7 = 12 k = 12 - 7 = 5 k + 11 = 16 k = 16 - 11 = 5 c) - 5 + y = 14 y = 14 + 5 = 19 y = 19 d) 4 + m = 11 m = 11 - 4 = 7 - 2 + m = 5 m = 5 + 2 = 7 h) 3r = 2r + 5 3r - 2r = 5 r = 5 5r = 5 r = 1
2a) x + 5 = 8 x = 8 - 5 = 3 b) y - 9 = 3 y = 3 + 9 = 12 c) 9 + z = 4 z = 4 - 9 = - 5 d) 2p + 4 = 14 2p = 14 - 4 2p = 10 p = 5 e) 9a - 5 = 8a + 6 9a - 8a = 6 + 5 a = 11 f) b - 17 = 4b - 5 b - 4b = 17 - 5 - 3b = 12 b = - 4 g) 2c = c + 3 2c - c = 3 c = 3 h) 7 + d = 2d - 1 d - 2d = - 1 - 7 - d = - 8 d = 8
3b) b = 5 4b = 20 b = 5 c) - ¼c = 7 c = 7 × (-4) c = - 28 c = - 28 d) 7d = 28 d = 4 d = 4 f) 7x = 28 x = 4 x = 4 g) 3/5 z = 6 z = 6 × 5 ÷ 3 z = 10 z = 10 h) 1/5 q = 6 q = 6 × 5 q = 30 q = 30
4a) 2k = 8 k = 4 b) 3n = 9 n = 3 c) ⅓ m = 4 m = 12 d) 3/5 p = 7 p = 35/3 e) 9x = 3 x = 3/9 = ⅓ f) 16 = 4y y = 4 g) 9 = 3/5 z z = 45/3 h) 7 = 2d d = 7/2
Verified answer
1a) k + 7 = 12k = 12 - 7 = 5
k + 11 = 16
k = 16 - 11 = 5
c) - 5 + y = 14
y = 14 + 5 = 19
y = 19
d) 4 + m = 11
m = 11 - 4 = 7
- 2 + m = 5
m = 5 + 2 = 7
h) 3r = 2r + 5
3r - 2r = 5
r = 5
5r = 5
r = 1
2a) x + 5 = 8
x = 8 - 5 = 3
b) y - 9 = 3
y = 3 + 9 = 12
c) 9 + z = 4
z = 4 - 9 = - 5
d) 2p + 4 = 14
2p = 14 - 4
2p = 10
p = 5
e) 9a - 5 = 8a + 6
9a - 8a = 6 + 5
a = 11
f) b - 17 = 4b - 5
b - 4b = 17 - 5
- 3b = 12
b = - 4
g) 2c = c + 3
2c - c = 3
c = 3
h) 7 + d = 2d - 1
d - 2d = - 1 - 7
- d = - 8
d = 8
3b) b = 5
4b = 20
b = 5
c) - ¼c = 7
c = 7 × (-4)
c = - 28
c = - 28
d) 7d = 28
d = 4
d = 4
f) 7x = 28
x = 4
x = 4
g) 3/5 z = 6
z = 6 × 5 ÷ 3
z = 10
z = 10
h) 1/5 q = 6
q = 6 × 5
q = 30
q = 30
4a) 2k = 8
k = 4
b) 3n = 9
n = 3
c) ⅓ m = 4
m = 12
d) 3/5 p = 7
p = 35/3
e) 9x = 3
x = 3/9 = ⅓
f) 16 = 4y
y = 4
g) 9 = 3/5 z
z = 45/3
h) 7 = 2d
d = 7/2