ALGEBRA

You should be able to

 use symbols to represent numbers, operations, variables and relations;

  

Symbolic representation.

 translate statements expressed algebraically into verbal phrases;

 

 perform arithmetic operations involving directed numbers;

 

 perform the four basic operations with algebraic expressions;

 

 substitute numbers for algebraic symbols in simple algebraic expressions;

 

 perform binary operations (other than the four basic ones);

 

 apply the distributive law to factorize or expand algebraic expressions;

 

For example, x(a+b) = xa+xb and (a+b)(x+y) = (a+b)x + (a+b)y = ax+bx+ay+by.

 simplify algebraic fractions;

 

 use the laws of indices to manipulate expressions with integral indices;

 

 solve linear equations in one unknown;

 

 solve simultaneous linear equations, in two unknowns, algebraically;

 

 solve a simple linear inequality in one unknown;

 

 change the subject of formulae;

 

Including those involving roots and powers.

 factorize algebraic expressions;

 

 

 solve quadratic equations;

 solve a pair of equations in two variables when one equation is quadratic or non-linear and the other linear;

 

 prove two algebraic expressions to be identical;

 

 represent direct and indirect variation symbolically;

 

 solve problems involving direct variation and inverse variation.

 

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