Equations
Difference of squares
(a+b)(a-b) = a2 - b2
Identities and Equations
2x+x=3x is an identity because it is true for all values of x
2x+1=3 is an equation because it is only true for x=1
If an equation contains fractions,then you cross-multiply to remove the brackets.
FOLI:
In IGCSE Mathematics curriculum, if there are three brackets, multiply out the first two brackets then multiply by the remaining bracket
Graphs
- Quadratic graphs have x2 as the highest power in IGCSE Mathematics.
- A quadratic graph is called a parabola
- A parabola has a vertical line of symmetry and is infinite
- Cubic graphs have x3 as the highest power and will look similar to this
Gradient
The equation of a straight line is y=mx+c where m is the gradient and c is the y intercept
If the gradient of a straight line is m,the gradient of the line perpendicular to m is -1/m
Standard index form
In IGCSE Mathematics currciculum, standard index form can be used to express very large or very small quantities
For example:
- 524 = 5.24x102
- 0.0467 = 4.67x10-2
End of this topic!
Drafted by Gina (Mathematics)