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The Distributive Property (Grade 7)

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The Distributive Property

1. 
Which of the following is an example of the distributive property?
  1. 10 x 1 = 10
  2. 3(4 + 2) = 3(4) + 3(2)
  3. 8 + 7 = 7 + 8
  4. 2 x 0 = 0
 
2. 
Which of the following is an example of the distributive property?
  1. 98 x 1= 98
  2. 3 + 92 = 95
  3. 72 + 51 = 51 + 72
  4. 6 (16 + 4) = (6 x 16) + (6 x 4)
3. 
5(2 - j) + (2j - 3)
  1. 10 - 3j
  2. 7 - 3j
  3. 7 + 3j
  4. 10 + 3j
 
4. 
5 + 6(m + 1)
  1. 6m + 11
  2. 6m + 6
  3. 11m + 11
  4. 11m + 1
5. 
-4(a + 3)
  1. -4a + 12
  2. -4a - 12
  3. 4a - 12
  4. none of the above
 
6. 
Expand the expression.
(-8)(-8 - d)
  1. -64 - 8d
  2. -64 + 8d
  3. 64 - 8d
  4. 64 + 8d
7. 
Find the equivalent of [math]p (q-r).[/math]
  1. [math](p)(q) - (r)[/math]
  2. [math](pq)(-r)[/math]
  3. [math](p)(q)(r)[/math]
  4. [math](p)(q) - (p)(r)[/math]
 
8. 
Simplify the expression (show all your work): [math](2r-4)2[/math]



9. 
Simplify the expression (show all your work): [math]2(7-s)[/math]



 
10. 
Simplify the expression (show all your work): [math]3(r+4)[/math]



11. 
Simplify:
[math]-3(x+2y)+x+y[/math]
                  
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