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1. Objective
Substitute numbers in simple formulae
Level
5

2. Rules of algebra
a + b means the value of a added to the value of b
c – d means take away the value of d from the
value of c
3x
means 3 times the value of x
3x = 3 × x
pq
means p × q
e
means e ÷ m
/m

3. If a = 10 and b = 20 what is the
value of
a+b ?
10
30
200

4. If c = 100 and d = 70 what is the
value of
c–d ?
30
20
70

5. If x = 5 what is the value of
3x ?
15
35
8

6. If p = 2 and q = 3 what is the
value of
pq ?
23
5
6

7. If e = 20 and m = 5 what is the
value of
e
15
/m ?
100
4

8. What’s in my bag?
a
b
c
d
e
f
g
h
i
j
k
l
m
50
48
45
42
40
36
35
32
30
28
25
1
21
n
o
p
q
r
s
t
u
v
w
x
y
z
20
18
16
15
12
10
8
7
6
5
4
3
2
Clue 1 = f + x
Clue 2 = 4x
36 + 4 = 40 = e
4 × 4 = 16 = p
Clue 3 = k – w
25 – 5 = 20 = n
Unscrambling gives…
pen

9. a
b
c
d
e
f
g
h
i
j
k
l
m
50
48
45
42
40
36
35
32
30
28
25
1
21
n
o
p
q
r
s
t
u
v
w
x
y
z
20
18
16
15
12
10
8
7
6
5
4
3
2
1)
m+x
n–z
e+t
m–y
2)
a-w
10x
t–u
4w
g–w
2t
3)
2s
4y
n–x
v÷6
2n
5x
5s
4)
t÷t
xy
i + 10
s–3
2w + 2

10. Extension
Now make up your own clues needed to spell different
objects in your bag

11. Answers
1)
book
2)
pencil
3)
planner
4)
ruler

12. Review
Can you substitute numbers in simple formulae
a+b
c–d
4x
Level
5

13. © D Cavill
Valley Maths 2003

14. CORRECT
WELL DONE!

15. UNLUCKY
BETTER LUCK NEXT
TIME!