Practice with
Properties of Real Numbers
Topic Index | Algebra Index | Regents Exam Prep Center

Test your skills on the following problems:

1. x + 9 = 9 + x 
is an example of which property?

Choose:

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

 

 

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

Choose:

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

 

 

3. x + ( y + 3 ) = x + ( 3 + y )
is an example of which property?

Choose:

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

 

 

4. ( 5 y ) ( 1 ) = 5 y
is an example of which property?

Choose:

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

 

 

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 property

 

 

6. ( x + 5 ) ( 7 + x ) = 
( x + 5 )( 7 )+( x + 5 )( x )

is an example of which property?

(**tough problem!!**)

Choose:

associative property of addition
commutative property of multiplication
associative property of multiplication
distributive property

 

 

7. (y + 2) + (-y + -2) = 0
is an example of which property?

Choose:

multiplicative identity property
additive identity property
multiplicative inverse property
additive inverse property

 

 

8.
is an example of which property?

Choose:

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

 


 
9. Determine which equation illustrates the commutative property.

Choose:

a + 0 = a
a + (b + c ) = (a + b) + c
a + b = b + a
a(b + c) = ab + ac

 

 

10. Which property is illustrated by the equation
           
           ax
ay = a(x + y)

Choose:

associative
commutative
distributive
identity

 

 


 
Topic Index | Algebra Index | Regents Exam Prep Center
Created by Michael Caldwell