Factorising is when you condense an algebraic expression, term, or side of an equation into brackets by removing their common multiple, like this:
2x+4y+6
2(x+2y+3)
The common multiple in this case was 2, so each term was divided by 2 and placed in a bracket, with 2 on the outside.
This also goes for algebraic common multiples too:
2x-2x^2+22x
2x(1-2x-11x)
2 Substitution
Annotations:
In substitution, you are given numbers and what terms they correspond with. You must then plug in the numbers into the appropriate terms, like so:
x=6
y=3
2x+y=?
2*6=12
y=3
2x+y=15
3 Straight line graphs
3.1 y=mx+c
Annotations:
y=the value y on the graph
m=gradient of the line
x=the value x on the graph
c=the value the line is above the origin on the x axis.
The graph below has the equation y=x+3
because the line is going up one square up and one square across and the line is 3 squares above the origin when going across the x axis
3.2 The origin
Annotations:
The origin=(0,0) on a graph
4 Collecting like terms
Annotations:
You do what it says on the tin. For example:
2x+4x-3x
Combine all the terms
3x is the collective value of the expression