3 Algebra

The basic processes of algebra Collecting like terms, using the four operations, the rules of indices, with integers and fractional powers

The construction, interpretation and use of formulae and their manipulation To include change of subject of a formula and substitution

The factorisation of simple algebraic expressions

Use of the factor theorem Including application to cubics and factors of the form (ax + b) or (ax – b)

Algebraic division of a cubic by a linear factor

The manipulation of simple algebraic fractions, the denominators being numerical, linear or quadratic Simple cases involving sum, difference, product and quotient of algebraic fractions

Solution of equations of 1st, 2nd and 3rd degree containing one unknown quantity Solution of quadratics to include solution by factorisation, by graph, by completing the square or by formula Problems that result in the solution of such equations may also be set

Solution of linear simultaneous equations in two unknowns Simple questions may be set requiring the graphical solution of simultaneous linear equations

Solve simultaneous equations in two unknowns, one equation being linear and the other being quadratic

Solution of linear inequalities, and the representations of solutions on the number line and two-dimensional space Simple questions may be set requiring the graphical solution of simultaneous linear inequalities No questions will be set on linear programming

Solve quadratic inequalities in one unknown and represent the solution set on a number line

The idea of a sequence Being able to recognise sequences with a common difference or common integer sequences, and to continue a given sequence