Maths (Equation and Formulae)

Maths (Equation and Formulae)

1. Simultaneous Equations

   • Calculate the exact solution of two simultaneous equations in two unknowns
     • interpret the equations as lines and the common solution as the point of intersection
   • 3x – 4y = 7, 2x – y = 8
     • 3x - 4y = 7, -8x + 4y = -32
       • -5x = -25
         • x = 5
           • 2(5) - y = 8
             • 10 - y = 8
               • -y = 8 -10
                 • y = 2

2. Proportion

   • Inverse
     • y = k/x
   • Direct
     • y=kx

3. Quadratic Equations

   • solve quadratic equations by factorisation
   • solve quadratic equations by using the quadratic formula
   • 3x^2 -11x - 4 = 0
     • (3x + 1)(x - 4)
       • x = -1/3 or 4

4. Inequalities

   • solve quadratic inequalities in one unknown and represent the solution set on a number line
   • identify harder examples of regions defined by linear inequalities
   • Graphing
     • The inequality y < x + 1
       • See Y value over each X value to determine the shading of the graph

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