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Paper 1
ALGEBRA
Manipulate algebraic expressions:
(a) by completing the square;
(b) simplifying algebraic fractions with binomial denominators.
Solve:
(a) quadratic equations:
 by factorisation
 by completing the square
 by using the quadratic formula
(b) quadratic inequalities:
 in one variable
 and interpret the solution graphically
Solve:
Equations in two unknowns:
 one of which is linear and one of which is quadratic
 algebraically or graphically.
Clarification
 To avoid unnecessary assumptions the binomial denominators should be linear expressions.
 Completing the square is necessary in the teaching process to determine the turning point of a parabola.
 Solving quadratic equations by completing the square will not be examined.
 Solution of nonquadratic inequalities should be seen in context of the graphs of functions.
For example:
Determine the value(s) if x for which:
(The solution to this question should be read off the graph of the two functions.)
