L2 Algebra

L2 Algebra

1. Manipulate Expressions

   • Indices / Exponents / Powers
     • Simplify
       • Basic power laws (multiply / divide / power of power)
       • Fractional powers (Link to roots)
       • Negative powers (Link to reciprocals)
     • Logarithms
       • Formal definition
       • Simplify
         • Properties of logs (add / subtract / multiply)
     • Expressions
       • Expand
         • 3 brackets
         • Mixed brackets
       • Factorise
         • Common Factor
         • Quadratics
           • Perfect squares
           • Difference of 2 squares
           • a not equal to 1
       • Fractions
         • Add and subtract (use common denominator / cross multiplying)
         • Simplify (Factorise / divide by common factor
       • Change subject of formula

2. Solve Equations

   • Linear
     • Solve equation
     • Solve inequation
     • Solve with fractions
   • Quadratic
     • Factorise to solve
     • Use quadratic fomrula to solve
     • Use graphics calculator to solve
     • Use discrimininant to determine nature of roots
       • d=0 then one repeated root
       • d>0 then two real roots
       • d<0 then no real roots
   • Logarithmic
     • Use properties to solve
     • Use formal defintion to rewrite as exponential
   • Exponential
     • Use logs to solve
     • Use roots to solve