Brackets Factors and Equations

Brackets Factors and Equations

Exercises 1 and 2

Oral Examples: Factorise

1. 2x + 6y = 2 ( )

2. 3x - 6y = 3 ( )

3. 8x + 2y = 2 ( )

4. 8x - 4y = 4 ( )


1. 2x + 6y = 2 ( x + 3y)

2. 3x - 6y = 3 ( x – 3y)

3. 8x + 2y = 2 (4x + y)

4. 8x - 4y = 4 ( 2x - y)


5. 3x + 12 = 3 ( )

6. 12x - 4 = 4 ( )

7. 30 + 5y = 5 ( )

8. 6 - 30y = 6 ( )


5. 3x + 12 = 3 (x + 4)

6. 12x - 4 = 4 ( 3x - 1)

7. 30 + 5y = 5 (6 + y)

8. 6 - 30y = 6 ( 1 – 5y)


9. 4x + 6y = 2 ( )

10. 6x - 9y = 3 ( )

11. 10x + 8 = 2 ( )

12. 15x - 12 = 3 ( )


9. 4x + 6y = 2 (2x + 3y)

10. 6x - 9y = 3 (2x – 3y)

11. 10x + 8 = 2 (5x + 4)

12. 15x - 12 = 3 (5x - 4)


13. 8 + 12y = 4 ( )

14. 20 - 24y = 4 ( )

15. 12x + 18y - 30z = 6 ( )

16. 18x - 24y + 30z = 6 ( )


13. 8 + 12y = 4 (2 + 3y)

14. 20 - 24y = 4 (5 – 6y)

15. 12x + 18y - 30z = 6 (2x + 3y – 5z)

16. 18x - 24y + 30z = 6 (3x – 4y + 5z)

Exercise 3: Factorise

1. 2x + 2y

2. 3x - 3y

3. 4x + 4

4. 5 - 5y


1. 2x + 2y = 2( x + y)

2. 3x - 3y = 3(x + y)

3. 4x + 4 = 4( x + 1)

4. 5 - 5y = 5( 1 – y)

Exercise 3: Expand

5. 2x + 10y

6. 10x - 5y

7. 12x + 2

8. 6 - 12y

Exercise 3: Expand

5. 2x + 10y = 2(x + 5y)

6. 10x - 5y = 5(2x – y)

7. 12x + 2 = 2(6x + 1)

8. 6 - 12y = 6(1 – 2y)

Factorise

9. 3x + 15y

10. 15x - 5y

11. 18x + 6

12. 3 - 18y

Factorise

9. 3x + 15y = 3(x + 5y)

10. 15x - 5y = 5(3x – y)

11. 18x + 6 = 6(3x + 1)

12. 3 - 18y = 3(1 – 6y)


13. 4x + 20y

14. 20x - 5y

15. 24x + 6

16. 4 - 24y


13. 4x + 20y= 4(x + 5y)

14. 20x - 5y = 5(4x – y)

15. 24x + 6 = 6(4x + 1)

16. 4 - 24y = 4(1 – 6y)


17. 2x + 4y

18. 9x - 3y

19. 16x + 4

20. 5 - 25y


17. 2x + 4y= 2(x + 2y)

18. 9x - 3y = 3(3x – y)

19. 16x + 4 = 4(4x + 1)

20. 5 - 25y = 5(1 – 5y)


21. 6x + 10y

22. 10x - 4y

23. 6x + 8

24. 12 - 10y


21. 6x + 10y = 2(3x + 5y)

22. 10x - 4y = 2(5x – 2y)

23. 6x + 8 = 2(3x +4)

24. 12 - 10y = 2(6 – 5y)


25. 6x + 15y

26. 15x - 9y

27. 9x + 12

28. 18 - 15y


25. 6x + 15y = 3(2x + 5y)

26. 15x - 9y = 3(5x – 3y)

27. 9x + 12 = 3(3x + 4)

28. 18 - 15y = 3(6x – 5y)

Exercise3: Factorise

29. 10x + 15y

30. 25x - 10y

31. 15x + 20

32. 25 - 15y


29. 10x + 15y = 5(2x + 3y)

30. 25x - 10y = 5(5x – 2y)

29. 15x + 20 = 5(3x + 4)

32. 25 - 15y = 5(5 – 3y)


33. 8x + 20y

34. 20x - 12y

35. 12x + 16

36. 16 - 20y


33. 8x + 20y = 4(2x +5y)

34. 20x - 12y = 4(5x – 3y)

33. 12x + 16 = 4(3x + 4)

36. 16 - 20y = 4(4 – 5y)


37. 12x + 18y

38. 30x - 12y

39. 18x + 24

40. 30 - 18y


37. 12x + 18y = 6(2x + 3y)

38. 30x - 12y = 6(5x – 2y)

39. 18x + 24 = 6(3x + 4)

40. 30 - 18y = 6(5 – 3y)


41. 25x + 20y

42. 25x - 30y

43. 30x + 24

44. 30 - 36y


41. 25x + 20y = 5(5x + 4y)

42. 25x - 30y = 5(5x – 6y)

43. 30x + 24 = 6(5x + 4)

44. 30 - 36y = 6(5 – 6y)


45. 4x + 6y + 10z

46. 6x - 8y + 10z

47. 6x + 9y - 15z

48. 9x - 12y - 15z


45. 4x + 6y + 10z= 2(2x + 3y + 5z)

46. 6x - 8y + 10z = 2(3x – 4y + 5z)

47. 6x + 9y - 15z = 3(2x + 3y – 5z)

48. 9x - 12y - 15z = 3(3x – 4y – 5z)


49. 10x + 15y + 25z

50. 15x - 20y + 25z

51. 8x + 12y - 20z

52. 12x - 16y - 20z


49. 10x + 15y + 25z = 5(2x + 3y + 5z)

50. 15x - 20y + 25z = 5(3x – 4y +5z)

51. 8x + 12y - 20z= 4(2x +3y – 5z)

52. 12x - 16y - 20z = 4(3x – 4y – 5z)

Exercise 4

1. xy + xz

2. xy - xz

3. yz + yx

4. zx - zy

Exercise 4

1. xy + xz = x(y + z)

2. xy - xz = x(y – z)

3. yz + yx = y(z + x)

4. zx - zy = z(x – y)

Exercise 4

Brackets Factors and Equations

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