<p>Properties 1 worksheet Name______</p><p>Directions: Name the property. 1. (7 + 5) + 3 = (5 + 7) + 3______2. (8 + 6) + 4 = 8 + (6 + 4)______</p><p>3. ______2 ( 3  x )  2  3  2  x  6  2 x</p><p>4. 1x = x______</p><p>5. 8 + 0 = 0 + 8______</p><p>6. 2 + 0 = 2______</p><p>7. 6 . 0 = 0 . 6______</p><p>8. ______( 4  5 x )  8  4  8  5 x  8  3 2  4 0 x</p><p>___</p><p>9. 5 + x = 12 (5 + x) - 5 = 12 - 5______</p><p>10. 5 . 0 = 0______</p><p>11. ______</p><p>12. 6 . (8 . 3) = (6 . 8) . 3______</p><p>13. a+ b + c = b + a + c______</p><p>14. n - 8 = 14 (n - 8) + 8 = 14 + 8______</p><p>15. ______x ( 6  5 x )  x  6  x  5 x  6 x  5 x 2</p><p>___</p><p>16. 9 . 1 = 1 . 9______</p><p>17. ______18. ______</p><p>19. -3(n - 6) = -3n + 18 ______</p><p>20. ______</p><p>Directions: Apply the given property to the given expression.</p><p>21. Zero Property of Multiplication: 0 . 134 = ______</p><p>22. Commutative Property of Multiplication: 0 . 134 = ______</p><p>23. Identity Property of Addition: 11x + ______= 11x</p><p>24. Inverse property of Multiplication: 2  ___  1 3</p><p>25. Inverse Property of Addition: 14 +______= ______</p><p>26. Associative Property of Addition: (2 + 3) + 14 =______</p><p>27. Commutative Property of Addition: (13 + 10) + 7 </p><p>=______</p><p>28. Identity Property of Multiplication: ______. ______= 121</p><p>29. Distributive Property: 5( ____+ 3) = 10x + 15</p><p>30. Identity Properties of Multiplication and Addition: ______. x + ______= x</p><p>31. Commutative Property of Addition then Associative Property of Addition: (14 + 29) + 16 = </p><p>______then ______</p><p>32. Distributive Property: ( 3  n)  _ _ _ _ _  2 1  7 n</p><p>33. Associative Property of Multiplication: abc=______</p><p>Directions: Write each product using the distributive property. Then simplify. Show work. 34. 8 (19) = 8 ( 10 + ____) 35. 6 (52) = (___)(___+___)</p><p>36. 8 (19) = 8 ( 20 - ____) 37. 2 6 ( 7 )  ( ______)  7</p><p>38. Simplify each expression using properties. Justify each step (meaning tell what property or operation you used). (a) 23 + 59 + 7 Given</p><p>← ______← ______</p><p>← ______← ______</p><p>← ______← ______</p><p>(b) Given 5 6 15  6 5 ← ______← __ _</p><p>← ______← __ _</p><p>← ______← __ _ Directions: Simplify each expression using the distributive property. Show work (middle step) 39. 4 ( 3 x  5 ) </p><p>40. 2 ( x  8 ) </p><p>41. ( n  6 )  9 </p><p>42. 5 n( 2 n  3 ) </p><p>43. ( 2  y)  6 </p><p>44. a( 3 a  b) </p><p>45. 2 x( 6  5 x) </p>