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Mathematics SL
                (2 years course)


Paper 1: non calculator
                                    Section A: Short questions
                                    Section B: Longer questions
Paper 2: with GDC
                            .


Exploration




                 Mar 2­06:15 p.m.

                                                                  1
www.evmaths.jimdo.com




        Mar 2­06:15 p.m.

                           2
Algebra Revision


By the end of the lesson you should be able to:




 • Apply the basic rules ( square of binomial, 
 difference of two squares, common factor) to 
 simplify or/and factorise expressions.


 • Use factorisation to solve equations.

                                                  Revision algebra Y9.ppt




                              Mar 2­06:15 p.m.

                                                                            3
Rewrite without brackets:




                   Mar 2­06:15 p.m.

                                      4
Mar 2­06:15 p.m.

                   5
Remove the brackets to simplify:


2 ( 4 ­ x ) ­ 5 ( x ­ 2 )=




­ ( 2 x + 7 ) ­ 2 ( x ­ 3 ) =




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                                          6
(x + 6 )2 ­ 2 ( x ­ 3 ) =




               Mar 2­06:15 p.m.

                                  7
2 x ( x ­ 5 )  ­ ( x + 5 )2=




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                                  8
( 2 x + 7) ( 2 x ­ 7 ) =




( a + b ) ( a ­ b ) =




( 2x + 5 )2  =




                        Mar 2­06:15 p.m.

                                           9
Factorise:

2 a + a b ­ a z =

 p3 + 2 p2 =

5 x a  ­  x =

­20 ­ 5 a =

­ a ­  a2  =




                Mar 2­06:15 p.m.

                                   10
Factorise:
2 a + a x + 2 b + b x = 




3 x ­ 3 y + ax­ a y =




t2 ­ 3 t ­ t +  3=




                  Mar 2­06:15 p.m.

                                     11
Simplify:




            Mar 2­06:15 p.m.

                               12
Difference of two squares

                       Expand



 (a + b ) ( a ­ b )                   a2 ­ b2


                 Factorise




                   Mar 2­06:15 p.m.

                                                13
Square of a binomial

                 Expand



    (a + b )2          a2 + 2ab + b2



            Factorise




              Mar 2­06:15 p.m.

                                       14
Factorise these trinomials:


x2  +  7 x  +  12  =   (  x         )  (   x           )


x2  +   5 x  + 6   =


x2  ­  12 x   + 20 =   


 x2  ­  9 x   ­ 36 =    




                           Mar 2­06:15 p.m.

                                                           15
2x2+7x+5




3x2+16x+21




             Mar 2­06:15 p.m.

                                16
We use factorisation to solve equations:


              x2 ­ x ­ 1 2 = 0




                       Mar 2­06:15 p.m.

                                           17
2x2 + 5 x + 3 = 0




            Mar 2­06:15 p.m.

                               18
2 
 x + 7 x   = 0




 4x2 ­ 25   = 0




              Mar 2­06:15 p.m.

                                 19
x 3 ­ 25 x = 0




                 Mar 2­06:15 p.m.

                                    20
Solve worksheet: 
"Algebra Revision"




        Mar 2­06:15 p.m.

                           21
Attachments



     fx9860emulator.exe

     Revision algebra Y9.ppt

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Algebra revision Y11