1. Properties

2. Properties (Answers) Commutative Property Associative Property
Distributive Property
Additive Identity
Additive Inverse
Multiplicative Identity
Multiplicative Inverse
Substitution
Symmetric Equality
Transitive Equality
Addition Property of Equality
Multiplication Property of Equality
Zero Product Property

4. Hr. 6:
3 * 1 = 3
1 * 5 = 5
Hr. 7:
7 * 1 = 7
1 * 6 = 6

5. 5B - B = 4B Replace B with Bananas
(So this means: Eat 1 Banana out of a bunch of 5 Bananas and 4 Bananas are left.)

6. Hr. 6:
If x = 7, then 5x = 35
If x = 8, then 6x = 48
Hr. 7:
x = p, then 2x = 2p
ab = c, then (a)ab = ac
ab = c, then 8ab = 8c

7. Hr. 6:
3(X + 1) = 3x + 3
7(X + 2) = 7x + 14
Hr. 7 :
4(X - 7) = 4x - 28
Hr. 7
4(B + -2) = 4B - 8

8. Hr. 6: F(a) = a + 1. F(2) = 3 Hr. 7 : y = 1 + a, when a = 2, y = 3
Y = 22 +X. When X = 4, then Y = 26.
F(a) = a F(2) = 3
Hr. 7 :
y = 1 + a, when a = 2, y = 3
Hr. 7
f(x) = 8x, then f(1) = 8

9. Hr. 6:
3 + 0 = 3
= 37
Hr. 7:
4 + 0 = 4
6 + 0 = 6

10. Hr. 7: Hr. 6: 3 = x, then 9 = x + 6 if x = 1, then x + 8 = 9
x = q, then x + 1 = q + 1
X = 3, then x + 5 = 8

11. Hr. 6:
5P = 0, then P = 0
If A(J+1) = 0, then A = 0 or (J+1) = 0
Hr. 7:
4X = 0, then X =0
6Y = 0, then Y =0
AB = 0, then either A = 0 or B = 0

12. Hr. 6:
If a = b and b = d, then a = d
x = y and y = z, so x = z
Hr. 7:
If x = 2 and 2 = y, then x = y
Hr. 7
If x = k and k = y, then x = y
If 1+4 = 5 and 5 = 3 + 2,
then = 3 + 2

13. Hr. 6:
63 * 1/63 = 1
3/7 * 7/3 = 1
Hr. 7
7 * 1/7 = 1
4/7 * 7/4 = 1

14. Hr. 6:
6 + 4 = 4 + 6
A + B + C = B + C +A
Hr. 7:
9 + 2 = 2 + 9
1+2+3 = 2+1+3

15. Hr. 6:
If 93 = a, then a = 93
If x + 4 = y, then f(x) = x + 4
Hr. 7
If 8 = x, then x =8
If x + 7 = y, then y = x + 7

16. Hr. 6:
6 + 4 = 4 + 6
A + B + C = B + C +A
Hr. 7:
9 + 2 = 2 + 9
1+2+3 = 2+1+3

17. Hr. 6:
= 0
5 - 5 = 0
Hr. 7 :
= 0
Hr. 7
= 0

19. Properties Examples Block 6/7 2011

20. Properties (Answers) Commutative Property Associative Property
Distributive Property
Additive Identity
Additive Inverse
Multiplicative Identity
Multiplicative Inverse
Substitution
Symmetric Equality
Transitive Equality
Addition Property of Equality
Multiplication Property of Equality
Zero Product Property
Game 1

21. Hr. 7
7 * 1/7 = 1 .

22. Answer a different property than Substitution.
Hr. 6:
If x = 8, then 6x = 48
Answer a different property than Substitution. .

23. Hr. 7:
6Y = 0, then Y =0 .

24. Hr. 6:
3 + 0 = 3 .

25. Hr. 7
= 0 .

26. Hr. 7:
(2 + 3) + 5 = 2 + (3 + 5)

27. Hr. 7
4(B + -2) = 4B - 8 .

28. Answer a different property than Substitution.
Hr. 6:
if x = 1, then x + 8 = 9
Answer a different property than Substitution. .

29. Hr. 7:
7 * 1 = 7 .

30. Hr. 7:
1+2+3 = 2+1+3

31. Hr. 6:
If a = b and b = d, then a = d .

32. Hr. 7
If 8 = x, then x =8 .

33. Hr. 7
f(x) = 8x, then f(1) = 8 .

34. Properties (Answers) Commutative Property Associative Property
Distributive Property
Additive Identity
Additive Inverse
Multiplicative Identity
Multiplicative Inverse
Substitution
Symmetric Equality
Transitive Equality
Addition Property of Equality
Multiplication Property of Equality
Zero Product Property
Game 2

35. Hr. 6:
3 = x, then 9 = x + 6
Not Substitution .

36. 9 + 2 = 2 + 9
Hr. 7:

37. Hr. 6:
= 37 .

38. Hr. 7:
If x = 2 and 2 = y, then x = y .

39. Hr. 7:
ab = c, then 8ab = 8c .

40. Hr. 7 :
y = 1 + a, when a = 2, y = 3 .

41. Hr. 7
If x + 7 = y, then y = x + 7 .

42. Hr. 7 :
= 0 .

43. Hr. 7 :
4(X - 7) = 4x - 28 .

44. Hr. 6:
1 * 5 = 5 .

45. 5B - B = 4B Replace B with Bananas.
(So this means: Eat 1 Banana out of a bunch of 5 Bananas and 4 Bananas are left.)

46. Hr. 7:
(a + b) + c + d = a + b + (c + d)

47. Hr. 6:
3/7 * 7/3 = 1 .

48. If A(J+1) = 0, then A = 0 or (J+1) = 0
Hr. 6:
If A(J+1) = 0, then A = 0 or (J+1) = 0 .

49. Properties (Answers) Commutative Property Associative Property
Distributive Property
Additive Identity
Additive Inverse
Multiplicative Identity
Multiplicative Inverse
Substitution
Symmetric Equality
Transitive Equality
Addition Property of Equality
Multiplication Property of Equality
Zero Product Property
Game 3

50. Hr. 6:
(3 x 4) x 2 = 3 x (4 x 2)

51. Hr. 6:
3 * 1 = 3 .

52. Hr. 6:
F(a) = a F(2) = 3 .

53. Hr. 6:
If x + 4 = y, then f(x) = x + 4 .

54. Hr. 7:
x = q, then x + 1 = q + 1 .

55. Hr. 6:
x = y and y = z, so x = z .

56. Hr. 7:
AB = 0, then either A = 0 or B = 0 .

57. Hr. 6:
5 - 5 = 0 .

58. Hr. 6:
7(X + 2) = 7x + 14 .

59. Hr. 7
4/7 * 7/4 = 1 .

60. Hr. 7:
x = p, then 2x = 2p .

61. Hr. 7:
4 + 0 = 4 .

62. Hr. 6:
A + B + C = B + C +A

63. Properties (Answers) Commutative Property Associative Property
Distributive Property
Additive Identity
Additive Inverse
Multiplicative Identity
Multiplicative Inverse
Substitution
Symmetric Equality
Transitive Equality
Addition Property of Equality
Multiplication Property of Equality
Zero Product Property
Game 4

64. Hr. 7:
1 * 6 = 6 .

65. Hr. 6:
= 0 . .

66. Hr. 6:
If 93 = a, then a = 93 .

67. Hr. 6:
If x = 7, then 5x = 35
NOT SUBSTITUTION .

68. Hr. 6:
6 + 4 = 4 + 6

69. Hr. 7:
X = 3, then x + 5 = 8 .

70. Hr. 6:
9 + (3 + 8) = (9 + 3) + 8

71. Hr. 7
If x = k and k = y, then x = y .

72. Hr. 7:
ab = c, then (a)ab = ac .

73. Hr. 6:
5P = 0, then P = 0 .

74. Hr. 6:
3(X + 1) = 3x + 3 .

75. Hr. 6:
63 * 1/63 = 1 .

76. Hr. 6:
Y = 22 +X. When X = 4, then Y = 26. . .

77. Hr. 7
If 1+4 = 5 and 5 = 3 + 2,
then = 3 + 2 .

78. Hr. 7:
6 + 0 = 6 .

79. Hr. 7:
4X = 0, then X =0 .