|
|
Contents
Simple Algebraic Expressions
Evaluation of Algebraic Expression
Rules of Algebra
Algebraic Fractions
Quiz 1
Expansion: The Foil Method
Algebraic Identities
Basic Factorisation
Factorisation of Quadratic Polynomials
Factorisation by Grouping
Quiz 2
Long Division
Polynomial Identities
Quiz 3
Algebra
Main Page
|
Rules of
Algebra
In algebra, terms of the same kind (called like terms) can be added or
subtracted from one another.
Example:
a + a
= 2a
2a +
5b + 4a + 8b= (2a + 4a) +(5b + 8b) =
6a +13b
7b -
3b= 4b
9c +
7d - 4c - 5d = (9c - 4c) + (7d - 5d) =
5c + 2d
In
multiplication and division, the coefficient and the variable are multiplied or
divided.
Example:
3 x 6a = 3 x 6 x
a = 18 x a = 18a
In
simplifying algebraic
expressions, we also use the distributive law to help us to 'remove the
bracket'.
Example:
a(b + c) = a x
b + a x c = ab +ac
-2a(b - c) = -2ab
+ 2ac
(5s + 3t)4d = 5s x 4d + 3t x 4d =
20sf +12td
5e -(f + 6g)= 5e - f - 6g
|