Quiz on Properties and Decimals

Properties 1 worksheet Name______

Directions: Name the property. 1. (7 + 5) + 3 = (5 + 7) + 3______2. (8 + 6) + 4 = 8 + (6 + 4)______

3. ______2 ( 3  x )  2  3  2  x  6  2 x

4. 1x = x______

5. 8 + 0 = 0 + 8______

6. 2 + 0 = 2______

7. 6 . 0 = 0 . 6______

8. ______( 4  5 x )  8  4  8  5 x  8  3 2  4 0 x

9. 5 + x = 12 (5 + x) - 5 = 12 - 5______

10. 5 . 0 = 0______

11. ______

12. 6 . (8 . 3) = (6 . 8) . 3______

13. a+ b + c = b + a + c______

14. n - 8 = 14 (n - 8) + 8 = 14 + 8______

15. ______x ( 6  5 x )  x  6  x  5 x  6 x  5 x 2

16. 9 . 1 = 1 . 9______

17. ______18. ______

19. -3(n - 6) = -3n + 18 ______

20. ______

Directions: Apply the given property to the given expression.

21. Zero Property of Multiplication: 0 . 134 = ______

22. Commutative Property of Multiplication: 0 . 134 = ______

23. Identity Property of Addition: 11x + ______= 11x

24. Inverse property of Multiplication: 2  ___  1 3

25. Inverse Property of Addition: 14 +______= ______

26. Associative Property of Addition: (2 + 3) + 14 =______

27. Commutative Property of Addition: (13 + 10) + 7

=______

28. Identity Property of Multiplication: ______. ______= 121

29. Distributive Property: 5( ____+ 3) = 10x + 15

30. Identity Properties of Multiplication and Addition: ______. x + ______= x

31. Commutative Property of Addition then Associative Property of Addition: (14 + 29) + 16 =

______then ______

32. Distributive Property: ( 3  n)  _ _ _ _ _  2 1  7 n

33. Associative Property of Multiplication: abc=______

Directions: Write each product using the distributive property. Then simplify. Show work. 34. 8 (19) = 8 ( 10 + ____) 35. 6 (52) = (___)(___+___)

36. 8 (19) = 8 ( 20 - ____) 37. 2 6 ( 7 )  ( ______)  7

38. Simplify each expression using properties. Justify each step (meaning tell what property or operation you used). (a) 23 + 59 + 7 Given

← ______← ______

(b) Given 5 6 15  6 5 ← ______← __ _

← ______← __ _

← ______← __ _ Directions: Simplify each expression using the distributive property. Show work (middle step) 39. 4 ( 3 x  5 ) 

40. 2 ( x  8 ) 

41. ( n  6 )  9 

42. 5 n( 2 n  3 ) 

43. ( 2  y)  6 

44. a( 3 a  b) 

45. 2 x( 6  5 x) 