Mathematics SL                (2 years course)Paper 1: non calculator                                    Section A: Short ...
www.evmaths.jimdo.com        Mar 2­06:15 p.m.                           2
Algebra RevisionBy the end of the lesson you should be able to: • Apply the basic rules ( square of binomial,  difference ...
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 ) =                       Mar 2­06:15 ...
(x + 6 )2 ­ 2 ( x ­ 3 ) =               Mar 2­06:15 p.m.                                  7
2 x ( x ­ 5 )  ­ ( x + 5 )2=               Mar 2­06:15 p.m.                                  8
( 2 x + 7) ( 2 x ­ 7 ) =( a + b ) ( a ­ b ) =( 2x + 5 )2  =                        Mar 2­06:15 p.m.                       ...
Factorise:2 a + a b ­ a z = p3 + 2 p2 =5 x a  ­  x =­20 ­ 5 a =­ a ­  a2  =                Mar 2­06:15 p.m.               ...
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.               ...
Simplify:            Mar 2­06:15 p.m.                               12
Difference of two squares                       Expand (a + b ) ( a ­ b )                   a2 ­ b2                 Factor...
Square of a binomial                 Expand    (a + b )2          a2 + 2ab + b2            Factorise              Mar 2­06...
Factorise these trinomials:x2  +  7 x  +  12  =   (  x         )  (   x           )x2  +   5 x  + 6   =x2  ­  12 x   + 20 ...
2x2+7x+53x2+16x+21             Mar 2­06:15 p.m.                                16
We use factorisation to solve equations:              x2 ­ x ­ 1 2 = 0                       Mar 2­06:15 p.m.             ...
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

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Algebra revision Y11

  1. 1. Mathematics SL (2 years course)Paper 1: non calculator Section A: Short questions Section B: Longer questionsPaper 2: with GDC .Exploration Mar 2­06:15 p.m. 1
  2. 2. www.evmaths.jimdo.com Mar 2­06:15 p.m. 2
  3. 3. Algebra RevisionBy 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
  4. 4. Rewrite without brackets: Mar 2­06:15 p.m. 4
  5. 5. Mar 2­06:15 p.m. 5
  6. 6. Remove the brackets to simplify:2 ( 4 ­ x ) ­ 5 ( x ­ 2 )=­ ( 2 x + 7 ) ­ 2 ( x ­ 3 ) = Mar 2­06:15 p.m. 6
  7. 7. (x + 6 )2 ­ 2 ( x ­ 3 ) = Mar 2­06:15 p.m. 7
  8. 8. 2 x ( x ­ 5 )  ­ ( x + 5 )2= Mar 2­06:15 p.m. 8
  9. 9. ( 2 x + 7) ( 2 x ­ 7 ) =( a + b ) ( a ­ b ) =( 2x + 5 )2  = Mar 2­06:15 p.m. 9
  10. 10. 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
  11. 11. 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
  12. 12. Simplify: Mar 2­06:15 p.m. 12
  13. 13. Difference of two squares Expand (a + b ) ( a ­ b )        a2 ­ b2 Factorise Mar 2­06:15 p.m. 13
  14. 14. Square of a binomial Expand (a + b )2          a2 + 2ab + b2 Factorise Mar 2­06:15 p.m. 14
  15. 15. 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
  16. 16. 2x2+7x+53x2+16x+21 Mar 2­06:15 p.m. 16
  17. 17. We use factorisation to solve equations: x2 ­ x ­ 1 2 = 0 Mar 2­06:15 p.m. 17
  18. 18. 2x2 + 5 x + 3 = 0 Mar 2­06:15 p.m. 18
  19. 19. 2  x + 7 x   = 0 4x2 ­ 25   = 0 Mar 2­06:15 p.m. 19
  20. 20. x 3 ­ 25 x = 0 Mar 2­06:15 p.m. 20
  21. 21. Solve worksheet: "Algebra Revision" Mar 2­06:15 p.m. 21
  22. 22. Attachments fx9860emulator.exe Revision algebra Y9.ppt

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