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


1.

What property is illustrated by 15 + (35 + 12) = 15 + (12 + 35)?
a.  Associative Property of Addition  c.  Distributive
Property  b.  Commutative Property of Addition  d.  Transitive Property of
Equality 


2.

Let M be the set of all 2 ´ 2 matrices.
Which property does not hold for set M?
a.  Associative Property of Addition  b.  Commutative Property of
Addition  c.  Commutative Property of Multiplication  d.  Identity Property of
Multiplication 


3.

If x, y, and r are real numbers with x > y
and r < 0, which of the following inequalities will be true?


4.

What is the multiplicative identity element for the set of 3 ´ 3 matrices?


5.

Which statement is an example of the Symmetric Property of Equality?
a.  If a = b, then b = a.  c.  If a = b and b
= c, then a = c.  b.  c = c  d.  If a = b, then a +
c = b + c. 


6.

In which set of numbers does every nonzero number have a multiplicative inverse
in the set?
a.  integers  c.  rational numbers  b.  natural numbers  d.  whole numbers 


7.

If z = a + bi and w = c + di are
complex numbers, with a, b, c, and d all nonzero real numbers, which of
the following must be a real number?
a.  2z  c.  z × (a –
bi)  b.  z + w  d.  zw 


8.

If A and B are 2 ´ 2 matrices,
with A ¹ B, which statement must be true?
a.  AB and BA both exist, and AB = BA.  b.  A^{–1 }exists and is a 2 ´ 2
matrix.  c.  ^{–}B^{ }exists and is a 2 ´ 2 matrix.  d.  A – B and B –
A both exist, and A – B = B –
A. 
