1. Contents Substitution Like Terms Add/Subtract
Multiplication-Algebraic Terms
Division-Algebraic Terms
Distributive Law
The Use of Words.
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2. ©2009 G Dear – Not to be sold/Free to use
Stage 4
Years 7 & 8
Algebra
Pronumerals
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©2009 G Dear – Not to be sold/Free to use

3. Means to replace a pronumeral (letter) with a number.
8.1 Substitution (1/3)
Means to replace a pronumeral (letter) with a number.
w = 4
a) w + 3 = 4
+ 3 = 7
b) 6w + 1 =
6 x 4
+ 1 = 25
c) w3 = 43 = 64
w + 2 3
4 + 2 3
d) = = 2

4. Means to replace a pronumeral (letter) with a number.
8.1 Substitution (2/3)
Means to replace a pronumeral (letter) with a number.
x = 2
y = 3
a) x + y = 2
+ 3 = 5
b) 5x + 4y =
5 x 2 +
4 x 3 =
10 +
12 = 22
4y – 3x 2
4x3 – 3x2 2
12 – 6 2 6 2
c) = = = = 3
d) x2 + y =
22 +
3 =
4 +
3 = 7

5. Means to replace a pronumeral (letter) with a number.
8.1 Substitution (3/3)
Means to replace a pronumeral (letter) with a number.
c = 2
d = 5
e = 3
a) c + d + e =
2 +
5 +
3 = 10
b) 2c + d - e =
2x2 + 5
- 3 = 6
3c + 2d
10 + e
3x2 + 2x5
10 + 3 26 13
c) = = = 2
d) 3c2 + e – d2 =
3 x 22 +
3 -
52 = 12
+ 3
- 25
= -10
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