Name: 
 

AII.3 Properties of Complex Numbers



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 
 
The steps used to simplify an expression are shown.
nar001-1.jpg
 

 1 

Using the two-column 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 two-column 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 two-column 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.
nar002-1.jpg
 

 4 

Using the two-column 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 two-column 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 two-column 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  mc007-1.jpg  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?
a.
mc009-1.jpg
b.
mc009-2.jpg
c.
mc009-3.jpg
d.
mc009-4.jpg
 

 10 

Which of the following steps is an example of the associative property of addition of complex numbers?

                    3i – 4(5 + 2i)
Step 1      3
i – 20 – 8i
Step 2      -20 + 3
i – 8i
Step 3      -20 + (3
i – 8i)
Step 4      -20 – 5
i
a.
Step 1
b.
Step 2
c.
Step 3
d.
Step 4
 



 
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