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Homework 46: Distributive Property
Contributed by: Garcia
Find the equivalent of each expression. What property did you use? 
1.    3(x + 4) = 
3.   -3(x + 4) = 
4.  -5(x - 9) = 
2.   5(x - 9) = 
5.   9(8x - 7) = 
Find the equivalent of each expression. What property did you use? 
2.   5(4k - 7h) = 
3.   -3(2x + 9y) = 
4.  -5(6w - 7v) = 
5.   9(3d - 5p) = 
1.    3(5a + 6b) = 
Two expressions are given, are these expressions equivalent? 
Explain why or why not? 
Expression 1:   7(6x + 8y)Expression 2:   42x + 56y
Yes, these equations are equivalent. When the distributiveproperty is applied to expression 1, the result is expression 2. 
No, these equations are NOT equivalent. When the distributiveproperty is applied to expression 1, the result is NOT expression 2.  
No, these equations are NOT equivalent. When the mutiplicationproperty is applied to expression 1, the result is NOT expression 2.  
Yes, these equations are equivalent. When the addition property 
is applied to expression 1, the result is expression 2.  
Two expressions are given, are these expressions equivalent? 
Explain why or why not? 
Expression 1:   9(6x + 2y)Expression 2:   15x + 11y
Yes, these equations are equivalent. When the distributiveproperty is applied to expression 1, the result is expression 2. 
No, these equations are NOT equivalent. When the distributiveproperty is applied to expression 1, the result is NOT expression 2.  
No, these equations are NOT equivalent. When the mutiplicationproperty is applied to expression 1, the result is NOT expression 2.  
Yes, these equations are equivalent. When the addition property 
is applied to expression 1, the result is expression 2.  
Select all expression that are equivalent to 5(x + 3) - x. 
 5x + 8 - x 
  5x + 15 - x 
  5x + 3 - x
 6x + 8 - x 
 6x + 15
 4x + 8
  6x + 3
  4x + 15
Select all expression that are equivalent to 8(x - 5) + x. 
  8x - 13 + x
  8x + 40 - x
  8x - 3 + x
  8x - 40 + x
 9x + 40
 9x - 40
 9x - 3
 9x - 13
Select all expression that are equivalent to 6(7x + 9) - 8x. 
  42x + 54 - 8x
  13x + 15 - 8x
  42x + 15 - 8x
  13x + 54 - 8x
5x + 54
 5x + 15
 34x - 54
 34x + 54
Select all expression that are equivalent to 6(k + 8) - k. 
 6k + 14 - k
 6k - 48 + k
 6k - 14 + k
5k + 14
  6k + 48 - k
5k - 48
5k + 48
5k + 14
Select all expression that are equivalent to -3(k - 8) + k. 
 3k - 11 + k 
 -3k - 11 + k 
 -3k + 24 + k
 -2k + 11
 3k + 24 + k
-2k + 24
 2k + 24
 2k - 11
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