Real Numbers - Practice with Properties

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:

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Created by Michael Caldwell