7.1 Algebraic Formulae

Posted on March 1, 2018 by user

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:

$Express x in terms of y, if y = \frac{2 - 3 x}{x} .$

Solution:

$\begin{array}{l} y = \frac{2 - 3 x}{x} \\ x y = 2 - 3 x \\ x y + 3 x = 2 \\ x (y + 3) = 2 \\ x = \frac{2}{y + 3} \end{array}$

Example 2:

$Given that s = \frac{p^{2} - q^{2}}{2 u}, make p the subject of the formula .$

Solution:

$\begin{array}{l} s = \frac{p^{2} - q^{2}}{2 r} \\ 2 r s = p^{2} - q^{2} \\ p^{2} = 2 r s + q^{2} \\ p = \sqrt{2 r s + q^{2}} \end{array}$