7.1 Algebraic Formulae


7.1 Algebraic Formulae

7.1.1 Variables and Constant
1. A variable is a quantity without a fixed value.
2. A constant is a quantity with a fixed value.


7.1.2 Concept of Formulae
1. An algebraic formula is an equation which shows the relationship between several variables and/ or constant.
2. The subject of an algebraic formula is a linear variable expressed in terms of the other variables.

Example 1:
Express x in terms of y , if y = 2 3 x x .  

Solution:
y = 2 3 x x x y = 2 3 x x y + 3 x = 2 x ( y + 3 ) = 2 x = 2 y + 3

Example 2:
Given that s = p 2 q 2 2 u , make p the subject of the formula .

Solution:
s = p 2 q 2 2 r 2 r s = p 2 q 2 p 2 = 2 r s + q 2 p = 2 r s + q 2

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