GENERAL MATHEMATICS LESSON, SS1 ,WEEK ONE:ALGEBRAIC PROCESSES AND EXPRESSIONS.

METHODS OF SOLVING ALGEBRAIC EXPRESSIONS.

1. Removing brackets. 2.Expanding brackets. 3.Factorisation method by taking common factors and by grouping.

algebra

A branch of mathematics that involves expressions with variables

Expanding brackets.

E. g (p+q)(r+s)=pr+qr+ps+qs.

Factorisation Method. by common factors.

E. g Complete the brackets in the statement. 8p-20q=4( )=4(2p-5q).4 is the common factor.

Factorisation by grouping terms.

E..g:3x-2dy+3y-2dx =3x+3y-2dx-2dy. =3(x+y)-2d(x+y) =(x+y)(3-2d).

Factorising an algebraic expression.

Factorising an algebraic expression means expressing it as a product of factors. The simplest kind of factorisation involves common factors.

Algebraic fractions.

Fractions containing variables (letters). E.g. x/y

Algebraic expression.

an expression that contains at least one variable

Removing brackets.

e. g. 3(a+b-2)=3a+.3b-6. 4(3x-5y+z)=12x-20y+4z).

Adding and subtracting algebraic fractions.

is similar to adding and subtracting arithmetic fractions :express the fractions as equivalent fractions with a common denominator, then add or subtract.