Multiple Choice Identify the
choice that best completes the statement or answers the question.



The steps used to simplify an expression are shown.


1

Using the twocolumn proof above, identify the missing property that justifies
the second step (fills in the first blank).
a.  Associative Property of Addition  d.  Distributive
Property  b.  Closure Property of Addition  e.  Identity Property of
Addition  c.  Commutative Property of Addition  f.  Inverse Property of
Addition 


2

Using the twocolumn proof above, identify the missing property that justifies
the third step (fills in the second blank).
a.  Associative Property of Addition  d.  Distributive
Property  b.  Closure Property of Addition  e.  Identity Property of
Addition  c.  Commutative Property of Addition  f.  Inverse Property of
Addition 


3

Using the twocolumn proof above, identify the missing property that justifies
the fourth step (fills in the third blank).
a.  Associative Property of Addition  d.  Distributive
Property  b.  Closure Property of Addition  e.  Identity Property of
Addition  c.  Commutative Property of Addition  f.  Inverse Property of
Addition 



The steps used to simplify an expression are shown.


4

Using the twocolumn proof above, identify the missing property that justifies
the second step (fills in the first blank).
a.  Associative Property of Addition  d.  Distributive
Property  b.  Closure Property of Addition  e.  Identity Property of
Addition  c.  Commutative Property of Addition  f.  Inverse Property of
Addition 


5

Using the twocolumn proof above, identify the missing property that justifies
the third step (fills in the second blank).
a.  Associative Property of Addition  d.  Distributive
Property  b.  Closure Property of Addition  e.  Identity Property of
Addition  c.  Commutative Property of Addition  f.  Inverse Property of
Addition 


6

Using the twocolumn proof above, identify the missing property that justifies
the fourth step (fills in the third blank).
a.  Associative Property of Addition  d.  Distributive
Property  b.  Closure Property of Addition  e.  Identity Property of
Addition  c.  Commutative Property of Addition  f.  Inverse Property of
Addition 


7

The equation is an example of which property of real
numbers?
a.  Associative property  c.  Identity property  b.  Transitive
property  d.  Reflexive property 


8

Which property would justify the following statement?
If x + 2 = y and y = 20, then x + 2 = 20 .
a.  Distributive property  c.  Symmetric property of equality  b.  Reflexive property of equality  d.  Transitive
property of equality 


9

Which of the following expressions correctly illustrates the
Inverse Property of Multiplication?


10

Which of the following steps is an example of the
associative property of addition of complex numbers?
3i – 4(5 + 2i) Step
1 3i – 20 –
8i Step 2 20 + 3i
– 8i Step
3 20 + (3i –
8i) Step 4 20 –
5i
a.  Step 1  b.  Step
2  c.  Step 3  d.  Step
4 
