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Brackets Factors and Equations

Brackets Factors and Equations. Exercises 1 and 2. Oral Examples: Factorise. 2 x + 6y = 2 ( ) 3 x - 6y = 3 ( ) 8 x + 2y = 2 ( ) 8 x - 4y = 4 ( ). Oral Examples: Factorise. 2 x + 6y = 2 ( x + 3 y ) 3 x - 6y = 3 ( x – 3y ) 8 x + 2y = 2 (4x + y) 8 x - 4y = 4 ( 2x - y).

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Brackets Factors and Equations

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  1. Brackets Factors and Equations Exercises 1 and 2

  2. Oral Examples: Factorise • 2x + 6y = 2 ( ) • 3x - 6y = 3 ( ) • 8x + 2y = 2 ( ) • 8x - 4y = 4 ( )

  3. Oral Examples: Factorise • 2x + 6y = 2 ( x + 3y) • 3x - 6y = 3 ( x – 3y) • 8x + 2y = 2 (4x + y) • 8x - 4y = 4 ( 2x - y)

  4. Oral Examples: Factorise • 3x + 12 = 3 ( ) • 12x - 4 = 4 ( ) • 30 + 5y = 5 ( ) • 6 - 30y = 6 ( )

  5. Oral Examples: Factorise • 3x + 12 = 3 (x + 4) • 12x - 4 = 4 ( 3x - 1) • 30 + 5y = 5 (6 + y) • 6 - 30y = 6 ( 1 – 5y)

  6. Oral Examples: Factorise • 4x + 6y = 2 ( ) • 6x - 9y = 3 ( ) • 10x + 8 = 2 ( ) • 15x - 12 = 3 ( )

  7. Oral Examples: Factorise • 4x + 6y = 2 (2x + 3y) • 6x - 9y = 3 (2x – 3y) • 10x + 8 = 2 (5x + 4) • 15x - 12 = 3 (5x - 4)

  8. Oral Examples: Factorise • 8 + 12y = 4 ( ) • 20 - 24y = 4 ( ) • 12x + 18y - 30z = 6 ( ) • 18x - 24y + 30z = 6 ( )

  9. Oral Examples: Factorise • 8 + 12y = 4 (2 + 3y) • 20 - 24y = 4 (5 – 6y) • 12x + 18y - 30z = 6 (2x + 3y – 5z) • 18x - 24y + 30z = 6 (3x – 4y + 5z)

  10. Exercise 3: Factorise • 2x + 2y • 3x - 3y • 4x + 4 • 5 - 5y

  11. Exercise 3: Factorise • 2x + 2y = 2( x + y) • 3x - 3y = 3(x + y) • 4x + 4 = 4( x + 1) • 5 - 5y = 5( 1 – y)

  12. Exercise 3: Expand • 2x + 10y • 10x - 5y • 12x + 2 • 6 - 12y

  13. Exercise 3: Expand • 2x + 10y = 2(x + 5y) • 10x - 5y = 5(2x – y) • 12x + 2 = 2(6x + 1) • 6 - 12y= 6(1 – 2y)

  14. Factorise • 3x + 15y • 15x - 5y • 18x + 6 • 3 - 18y

  15. Factorise • 3x + 15y = 3(x + 5y) • 15x - 5y = 5(3x – y) • 18x + 6 = 6(3x + 1) • 3 - 18y= 3(1 – 6y)

  16. Exercise 3: Factorise • 4x + 20y • 20x - 5y • 24x + 6 • 4 - 24y

  17. Exercise 3: Factorise • 4x + 20y = 4(x + 5y) • 20x - 5y = 5(4x – y) • 24x + 6 = 6(4x + 1) • 4 - 24y= 4(1 – 6y)

  18. Exercise 3: Factorise • 2x + 4y • 9x - 3y • 16x + 4 • 5 - 25y

  19. Exercise 3: Factorise • 2x + 4y = 2(x + 2y) • 9x - 3y = 3(3x – y) • 16x + 4 = 4(4x + 1) • 5 - 25y= 5(1 – 5y)

  20. Exercise 3: Factorise • 6x + 10y • 10x - 4y • 6x + 8 • 12 - 10y

  21. Exercise 3: Factorise • 6x + 10y = 2(3x + 5y) • 10x - 4y = 2(5x – 2y) • 6x + 8 = 2(3x +4) • 12 - 10y= 2(6 – 5y)

  22. Exercise 3: Factorise 25. 6x+ 15y 26. 15x- 9y 27. 9x+ 12 28. 18 - 15y

  23. Exercise 3: Factorise 25. 6x + 15y = 3(2x + 5y) 26. 15x - 9y = 3(5x – 3y) 27. 9x + 12 = 3(3x + 4) 28. 18 - 15y = 3(6x – 5y)

  24. Exercise3: Factorise • 10x+ 15y • 25x- 10y • 15x+ 20 32. 25 - 15y

  25. Exercise 3: Factorise • 10x + 15y = 5(2x + 3y) • 25x - 10y = 5(5x – 2y) • 15x + 20 = 5(3x + 4) 32. 25 - 15y= 5(5 – 3y)

  26. Exercise 3: Factorise • 8x+ 20y • 20x- 12y • 12x+ 16 36. 16 - 20y

  27. Exercise 3: Factorise • 8x + 20y = 4(2x +5y) • 20x - 12y = 4(5x – 3y) • 12x + 16 = 4(3x + 4) 36. 16 - 20y= 4(4 – 5y)

  28. Exercise 3: Factorise • 12x+ 18y • 30x- 12y • 18x+ 24 40. 30 - 18y

  29. Exercise 3: Factorise • 12x + 18y = 6(2x + 3y) • 30x - 12y = 6(5x – 2y) • 18x + 24 = 6(3x + 4) 40. 30 - 18y = 6(5 – 3y)

  30. Exercise 3: Factorise • 25x+ 20y • 25x- 30y • 30x+ 24 44. 30 - 36y

  31. Exercise 3: Factorise • 25x + 20y = 5(5x + 4y) • 25x - 30y = 5(5x – 6y) • 30x + 24 = 6(5x + 4) 44. 30 - 36y= 6(5 – 6y)

  32. Exercise 3: Factorise • 4x+ 6y + 10z • 6x- 8y + 10z • 6x+ 9y - 15z 48. 9x- 12y - 15z

  33. Exercise 3: Factorise • 4x + 6y + 10z = 2(2x + 3y + 5z) • 6x - 8y + 10z = 2(3x – 4y + 5z) • 6x + 9y - 15z = 3(2x + 3y – 5z) 48. 9x - 12y - 15z= 3(3x – 4y – 5z)

  34. Exercise 3: Factorise • 10x+ 15y + 25z • 15x- 20y + 25z • 8x+ 12y - 20z 52. 12x- 16y - 20z

  35. Exercise 3: Factorise • 10x + 15y + 25z = 5(2x + 3y + 5z) • 15x - 20y + 25z = 5(3x – 4y +5z) • 8x + 12y - 20z = 4(2x +3y – 5z) 52. 12x - 16y - 20z = 4(3x – 4y – 5z)

  36. Exercise 4 • xy + xz • xy - xz • yz + yx • zx - zy

  37. Exercise 4 • xy + xz = x(y + z) • xy - xz = x(y – z) • yz + yx= y(z + x) • zx - zy= z(x – y)

  38. Exercise 4

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