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Name the property illustrated by each statement.

1.  0 + b = b 2.  If x + y = 3, then 3 = x + y.
3.  x = x 4.  4 · 1 = 4
5.  1 · y = y 6.  6 = 6
7.  0 = 0 · 12 8.  5 = 5 + 0
9.  If 12 = 17 - 5, then 17 - 5 = 12. 10.  7(8 - 3) = 7(5)
11.  w + (4 + 6) = w + 10 12.  x + 2 = x + 2
13.  (6 + 9)x = 15x 14.  (7 - 4)(6) = 3(6)
15.  xyz = xyz 16.  8 + 5 = (4 + 4) + 5
17.  If 6 + 3 = 9 and 9 = 3(3), then 6 + 3 = 3(3)

Evaluate each expression. Name the property used in each step.

18.  2 + 6(9 - 32) - 2
19.  5(13 - 39 ·3) + 7 · 1
20.  7(16 · 42)

 

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