Brackets Factors and Equations Exercises 1 and 2.
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Brackets Factors and Equations Exercises 1 and 2
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Transcript of Brackets Factors and Equations Exercises 1 and 2.
Brackets Factors and Equations
Exercises 1 and 2
Oral Examples: Expand
• p(q + r)
• p(q - r)
• -p(q + r)
• -p(q - r)
Oral Examples: Expand
• 5(2 + y)
• 5(2 - y)
• -5(2 + y)
• -5(2 - y)
Oral Examples: Expand
• 5(3x + 4y)
• 5(3x - 4y)
• -5(3x + 4y)
• -5(2 - y)
Exercise 1: Expand
1. 2(x + 3)
2. 2(x - 3)
3. -2(x + 3)
4. -2(x - 3)
Exercise 1: Expand
1. 2(x + 3) = 2x + 6
2. 2(x - 3) = 2x - 6
3. -2(x + 3) = -2x - 6
4. -2(x - 3) = -2x + 3
Exercise 1: Expand
5. 3(2 + y)
6. 3(2 - y)
7. -3(2 + y)
8. -3(2 - y)
Exercise 1: Expand
5. 3(2 + y) = 6 + 3y
6. 3(2 - y) = 6 – 3y
7. -3(2 + y) = -6-3y
8. -3(2 - y) = -6 +3y
Expand
9. 3(x + 4)
10. -3(x + 4)
11. 3(x - 4)
12. -3(x - 4)
Expand
9. 3(x + 4) = 3x + 12
10. -3(x + 4) = -3x - 12
11. 3(x - 4) = 3x - 12
12. -3(x - 4) = -3x + 12
Exercise 1: Expand
13. 4(3 + y)
14. -4(3 + y)
15. 4(3 - y)
16. -4(3 - y)
Exercise 1: Expand
13. 4(3 + y) = 12 + 4y
14. -4(3 + y) = -12 – 4y
15. 4(3 - y) = 12 – 4y
16. -4(3 - y) = -12 + 4y
Exercise 1: Expand
17. 4(x + 2)
18. 4(x - 2)
19. -4(x + 2)
20. -4(x - 2)
Exercise 1: Expand
17. 4(x + 2) = 4x + 8
18. 4(x - 2) = 4x - 8
19. -4(x + 2) = -4x - 8
20. -4(x - 2) = -4x + 8
Exercise 1: Expand
21. 2(x + 4)
22. 2(x - 4)
23. -2(x + 4)
24. -2(x - 4)
Exercise 1: Expand
21. 2(x + 4) = 2x + 8
22. 2(x - 4) = 2x - 8
23. -2(x + 4) = -2x - 8
24. -2(x - 4) = -2x + 8
Exercise 1: Expand
25. 5(x + y)
26. -5(x + y)
27. 5(x - y)
28. -5(x - y)
Exercise 1: Expand
25. 5(x + y) = 5x + 5y
26. -5(x + y) = -5x – 5y
27. 5(x - y) = 5x – 5y
28. -5(x - y) = -5x + 5y
Exercise1: Expand
29. 2(3x + 5y)
30. -2(3x + 5y)
31. 2(3x - 5y)
32. -2(3x - 5y)
Exercise1: Expand
29. 2(3x + 5y) = 6x + 10y
30. -2(3x + 5y) = -6x -10y
31. 2(3x - 5y) = 6x -10y
32. -2(3x - 5y) = -6x +10y
Exercise 1: Expand
33. 3(4x + 5y)
34. 3(4x - 5y)
35. -3(4x + 5y)
36. -3(4x - 5y)
Exercise 1: Expand
33. 3(4x + 5y) =12x + 15y
34. 3(4x - 5y) = 12x -15y
35. -3(4x + 5y) = -12x – 15y
36. -3(4x - 5y) = -12x + 15y
Exercise 1: Expand
37. 4(2x + 5y)
38. 4(2x - 5y)
39. -4(2x + 5y)
40. -4(2x - 5y)
Exercise 1: Expand
37. 4(2x + 5y) = 8x + 20y
38. 4(2x - 5y) = 8x – 20y
39. -4(2x + 5y) = -8x – 20y
40. -4(2x - 5y) = -8x + 20y
Exercise 2
1. x (x + 1)
2. x (x - 2)
3. x (x + 3)
4. x (x - 4)
5. y (1 + y)
6. y (2 - y)
Exercise 2
1. x (x + 1) = x2 + x
2. x (x - 2) = x2 - 2x
3. x (x + 3) = x2 + 3x
4. x (x - 4) = x2 - 4x
5. y (1 + y) = y + y2
6. y (2 – y) = 2y – y2
Exercise 2
7. y (3 + y)
8. y (4 - y)
9. x (x + y)
10. x (x - y)
11. y (x + y)
12. y (x - y)
Exercise 2
7. y (3 + y) = 3y + y2
8. y (4 - y) = 4y- y2
9. x (x + y) = x2 + xy
10. x (x - y) = x2 - xy
11. y (x + y) = xy + y2
12. y (x - y) = xy + y2
Exercise 2
13. 2x (x + 4)
14. 2x (3 + y)
15. 2x (3x + 4y)
16. 2xy (3x + 4y)
17. 3y (x - 5)
18. 3y (4 - y)
Exercise 2
13. 2x (x + 4) = 2x2 + 8x
14. 2x (3 + y) = 6x + 2xy
15. 2x (3x + 4y) = 6x2 +8xy
16. 2xy (3x + 4y) = 6x2y + 8xy2
17. 3y (x - 5) = 3xy – 15y
18. 3y (4 - y) = 12y – 12y2
Exercise 2
19. 3y (4x - 5y)
20. 3xy (4x - 5y)
21. 4x (x + 2)
22. 4x (5 + y)
23. 4x (5x + 2y)
24. 4xy (5x + 2y)
Exercise 2
19. 3y (4x - 5y) = 12xy – 15y2
20. 3xy (4x - 5y) = 12x2y – 15xy2
21. 4x (x + 2) = 4x2 +8x
22. 4x (5 + y) = 20x + 4xy
23. 4x (5x + 2y) = 20x2 + 8xy
24. 4xy (5x + 2y) = 20x2y + 8xy2
Exercise 2
25. 5y ( x - 3)
26. 5y (2 - y)
27. 5y (2 - 3y)
28. 5y (2 - 3y)
29. x (x + 4) + 2(x + 4)
30. y (y + 1) + 3(y + 1)
Exercise 2
25. 5y ( x - 3) = 5xy – 15y
26. 5y (2 - y) = 10y – 5y2
27. 5y (2 - 3y) = 10y – 15y2
28. 5y (2 - 3y) = 10y – 15y2
29. x (x + 4) + 2(x + 4) = x2 + 6x + 8
30. y (y + 1) + 3(y + 1) = y2 + 4y + 3
Exercise 2
31. x (x + 2) + (x + 2)32. y (y + 3) + 4(y + 3)33. x (x + 3) + 2(x + 3)34. y (y + 4) + (y + 4)35. x (x - 4) + 2(x - 4)36. y (y - 1) + 3(y - 1)
Exercise 2
31. x (x + 2) + (x + 2)32. y (y + 3) + 4(y + 3)33. x (x + 3) + 2(x + 3)34. y (y + 4) + (y + 4)35. x (x - 4) + 2(x - 4)36. y (y - 1) + 3(y - 1)
• 37. x (x - 2) + (x - 2)• 38. y (y - 3) + 4(y - 3)• 39. x (x - 3) + 2(x - 3)• 40. y (y - 4) + (y - 4)• 41. x (x + 4) - 2(x + 4)• 42. y (y + 1) - 3(y + 1)
• 43. x (x + 2) - (x + 2)• 44. y (y + 3) - 4(y + 3)• 45. x (x + 3) - 2(x + 3)• 46. y (y + 4) - (y + 4)• 47. x (x - 4) - 2(x - 4)• 48. y (y - 1) - 3(y - 1)
• 49. x (x - 2) - (x - 2)• 50. y (y - 3) - 4(y - 3)• 51. x (x - 3) - 2(x - 3)• 52. y (y - 4) - (y - 4)• 53. 3x (x + 2) + 4(x + 2)• 54. 3x (x - 2) + 4(x - 2)
• 55. 3x (x + 2) - 4(x + 2)• 56. 3x (x - 2) - 4(x - 2)• 57. 2y (y + 4) + 3(y + 4)• 58. 2y (y - 4) + 3(y - 4)• 59. 2y (y + 4) - 3(y + 4)• 60. 2y (y - 4) - 3(y - 4)
• 61. 2x (x + 3) + (x + 3)
• 62. 2x (x - 3) + (x - 3)
• 63. 2x (x + 3) - (x + 3)
• 64. 2x (x - 3) - (x - 3)
Exercise 3
• 1. 2x + 6y = 2 ( )
• 2. 3x - 6y = 3 ( )
• 3. 8x + 2y = 2 ( )
• 4. 8x - 4y = 4 ( )
• 5. 3x + 12 = 3 ( )
• 6. 12x - 4 = 4 ( )
•
Factorise
• 7. 30 + 5y = 5 ( )
• 8. 6 - 30y = 6 ( )
• 9. 4x + 6y = 2 ( )
• 10. 6x - 9y = 3 ( )
• 11. 10x + 8 = 2 ( )
• 12. 15x - 12 = 3 ( )
Factorise
• 13. 8 + 12y = 4 ( )
• 14. 20 - 24y = 4 ( )
• 15. 12x + 18y - 30z = 6 ( )
• 16. 18x - 24y + 30z = 6 ( )
