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Practice: Properties of Real Numbers
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Practice Page

Directions: Read carefully and choose the best answer.

1.
x + 6 = 6 + x
is an example of which property?  


Choose:
 
commutative property of addition
 
associative property of addition
 
additive identity
 
additive inverse

 

 

2.
( 3m ) • ( 1 ) = 3m
is an example of which property?  


Choose:
 
commutative property of multiplication
 
associative property of multiplication
 
multiplicative identity
 
multiplicative inverse

 

 

3.
a + (b + 1) = a + (1 + b)
is an example of which property?  

Choose:
 
commutative property of addition
  associative property of addition
  additive identity
  distributive property

 

 

4.
3( x + 2 ) = 3x + 6
is an example of which property?  


Choose:
 
commutative property of multiplication
 
associative property of multiplication
 
distributive property
 
multiplicative inverse

 

 

5.
( x y ) z = x ( y z )
is an example of which property?  


Choose:
 
commutative property of multiplication
 
associative property of multiplication
 
distributive property
 
multiplicative inverse

 

 

6.
(b + 7) + (-b + -7) = 0
is an example of which property?  


Choose:
 
multiplicative identity
 
additive identity
 
multiplicative inverse
 
additive inverse

 

 

7.
( a + 2 )•( 3 + a ) =
(a + 2) • 3 + (a + 2) • a

is an example of which property?  


Choose:
 
commutative property of multiplication
 
associative property of addition
 
associative property of multiplication
 
distributive property

 

 

8.
6m • ( 1/(6m) ) = 1
is an example of which property?  


Choose:
 
multiplicative identity
 
multiplicative inverse
 
associative property of multiplication
 
commutative property of multiplication

 

 

9.
Which choice demonstrates
the associative property?
Choose:
 
x + y = y + x
 
x (y + z ) = xy + xz
 
x + (y + z) = (x + y) + z
 
x + 0 = x

 

 

10.
Which of the following choices is equivalent to the expression 6x + 12
by the distributive property ?
Choose:
 
2 (3x + 6)
 
6 (x + 2)
 
3 (2x + 4)
 
All choices

 

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