Algebra

Algebra

1. Factorising

   • 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

   • 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

   • y=mx+c
     • 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
   • The origin
     • The origin=(0,0) on a graph

4. Collecting like terms

   • 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

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