1. Properties
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by D. Fisher

2. Which Property?

3. Associative Property of Addition1.
Which Property?
(2 + 1) + 4 = 2 + (1 + 4)
Associative Property of Addition

4. Commutative Property of Addition2.
Which Property?
3 + 7 = 7 + 3
Commutative Property of Addition

5. Identity Property of Addition3.
Which Property?
8 + 0 = 8
Identity Property of Addition

6. (even)•(even) = (even)4.
Which Property?
(even)•(even) = (even)
Closure Property

7. Commutative Property of Multiplication5.
Which Property?
6 • 4 = 4 • 6
Commutative Property of Multiplication

8. Inverse Property of Addition6.
Which Property?
17 + (-17) = 0
Inverse Property of Addition

9. Commutative Property of Multiplication7.
Which Property?
2(5) = 5(2)
Commutative Property of Multiplication

10. 8.
Which Property?
even + even = even
Closure Property

11. Distributive Property9.
Which Property?
3(2 + 5) = 3•2 + 3•5
Distributive Property

12. Associative Property of Multiplication
10.
Which Property?
6(7•8) = (6•7)8
Associative Property of Multiplication

13. Identity Property of Multiplication
11.
Which Property?
5 • 1 = 5
Identity Property of Multiplication

14. 12.
Which Property?
(odd) • (odd) = (odd)
Closure Property

15. Properties Using
Negatives

16. Distributive Property
13.
Which Property?
(6 – 3)4 = 6•4 – 3•4
Distributive Property

17. Identity Property of Multiplication
14.
Which Property?
1(-9) = -9
Identity Property of Multiplication

18. Inverse Property of Addition
15.
Which Property?
3 + (-3) = 0
Inverse Property of Addition

19. Associative Property of Addition
16.
Which Property?
1 + [-9 + 3]
= [1 + (-9)] + 3
Associative Property of Addition

20. Commutative Property of Multiplication
17.
Which Property?
-3(6) = 6(-3)
Commutative Property of Multiplication

21. Identity Property of Addition
18.
Which Property?
= -8
Identity Property of Addition

22. Distributive Property
19.
Which Property?
3•7 – 3•4 = 3(7 – 4)
Distributive Property

23. Associative Property of Addition
20.
Which Property?
6 + [(3 + (-2)]
= (6 + 3) + (- 2)
Associative Property of Addition

24. Commutative Property of Addition
21.
Which Property?
7 + (-5) =
Commutative Property of Addition

25. Distributive Property
22.
Which Property?
(5 + 4)9 =
Distributive Property

26. Associative Property of Multiplication
23.
Which Property?
-3(5 • 4) = (-3 • 5)4
Associative Property of Multiplication

27. Commutative Property of Multiplication
24.
Which Property?
-8(4) = 4(-8)
Commutative Property of Multiplication

28. Properties Using
Fractions

29. Identity Property of Addition
25.
Which Property?
51/7 + 0 = 51/7
Identity Property of Addition

30. Commutative Property of Addition
26.
Which Property?
3/4 – 6/7 = – 6/7 + 3/4
Commutative Property of Addition

31. Identity Property of Multiplication
27.
Which Property?
12/5 • 1 = 12/5
Identity Property of Multiplication

32. (fraction)(fraction) = fraction
28.
Which Property?
(fraction)(fraction)
= fraction
Closure Property

33. Identity Property of Addition
29.
Which Property?
-8 2/5 + 0 = -8 2/5
Identity Property of Addition

34. Associative Property of Multiplication
30.
Which Property?
[(-2/3)(5)]9 = -2/3[(5)(9)]
Associative Property of Multiplication

35. Properties Using
Variables

36. Distributive Property
31.
Which Property?
6(3 – 2n) = 18 – 12n
Distributive Property

37. Commutative Property of Addition
32.
Which Property?
2x + 3 = 3 + 2x
Commutative Property of Addition

38. Commutative Property of Multiplication
33.
Which Property?
ab = ba
Commutative Property of Multiplication

39. Identity Property of Addition
34.
Which Property?
a + 0 = a
Identity Property of Addition

40. Associative Property of Multiplication
35.
Which Property?
a(bc) = (ab)c
Associative Property of Multiplication

41. Identity Property of Multiplication
36.
Which Property?
a•1 = a
Identity Property of Multiplication

42. Commutative Property of Addition
37.
Which Property?
a +b = b + a
Commutative Property of Addition

43. Distributive Property
38.
Which Property?
a(b + c) = ab + ac
Distributive Property

44. Associative Property of Addition
39.
Which Property?
a + (b + c) = (a +b) + c
Associative Property of Addition

45. Inverse Property of Addition
40.
Which Property?
a + (-a) = 0
Inverse Property of Addition

46. Enjoy your Algebra work!