Download 12c Simple equations More simple equations 12d

12d More simple equations
example
example
12c Simple equations
Solve this equation.
a ⫺ 37 ⫽ 53
a ⫺ 37 ⫽ 53
a ⫺ 37 ⫹ 37 ⫽ 53 ⫹ 37
a ⫽ 90
b
x 4
10
c
7 y
12
20
k 6
d Solve each equation to calculate the weight of each box marked
with a letter. Use balancing operations.
2 Solve these equations. Show your balancing operations.
a x⫹5⫽9
b a ⫹ 3 ⫽ 11
c t ⫹ 10 ⫽ 21
d p ⫹ 6 ⫽ 30
e g ⫺ 12 ⫽ 13
f h ⫺ 15 ⫽ 1
g k ⫺ 9 ⫽ 25
h 15 ⫹ b ⫽ 28
i 45 ⫹ m ⫽ 59
j d ⫺ 100 ⫽ 100
k 35 ⫽ n ⫹ 19
l 27 ⫽ q ⫺ 15
64 km
Newcastle
3 Josiah is travelling from Carlisle to
d
Newcastle, a distance of 100 km. Carlisle
Hexham
100 km
When he gets to Hexham, how
much further does he have to go?
Solve this equation to find the answer.
64 ⫹ d ⫽ 100
4 Rapinda is travelling from Manchester to Hull, a distance of
161 km. When she gets to Sheffield she knows she has 96 km of
her journey left. Write and solve an equation to find d, the distance
from Manchester to Sheffield.
66
Algebra Simple equations
b
x__ ⫽ 5
4
x__ ⫻ 4 ⫽ 5 ⫻ 4
4
x ⫽ 20
1 Write these balance drawings as equations.
a i
ii
1 Write these balance drawings as equations.
a
9y ⫽ 27
a
9y ⫼ 9 ⫽ 27 ⫼ 9
y⫽3
Add 37 to both sides.
b x__ ⫽ 5
4
Solve these equations. a 9y ⫽ 27
x x
10
a a
a a
32
iii
36
t
t t
b Solve each equation in part a to calculate the weight of each
box marked with a letter. Use balancing operations.
2 Solve these equations. Show your balancing operations.
a 2x ⫽ 6
b 4a ⫽ 12
c 3p ⫽ 18
d 8m ⫽ 24
e 6c ⫽ 48
f 9b ⫽ 54
g 60 ⫽ 20q
h 7d ⫽ 0
i 10f ⫽ 10
j 56 ⫽ 8g
k 45 ⫽ 15k
l 4t ⫽ 2
3 Solve these equations by multiplying both sides by the same amount.
a ⫽2
a x__ ⫽ 3
b __
2
5
p
m
c __ ⫽ 5
d 6 ⫽ __
9
4
b ⫽ 12
c
f __
e 7 ⫽ ___
3
10
q
d⫽8
g __ ⫽ 20
h __
5
8
g
i 30 ⫽ __f
j __ ⫽ 1
7
6
t ⫽0
k
l ___
k 5 ⫽ ____
25
100
Algebra More simple equations
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