Question 1

Find 10 × 11 mod 12.

Accepted Answer

The answer of Find 10 × 11 mod 12....

Question 2

Use the system shown to find r * s.

Accepted Answer

A) s 
B) r 
C) q 
D) t 
A) s 
B) r 
C) q 
D) t

Question 3

Find the value of y using the 12-hour clock.
y - 9 = 10

Accepted Answer

The answer of Find the value of y using the...

Question 4

Determine whether the given system forms (a)a group and (b)an Abelian group.
{-2, 0, 2} under addition

Accepted Answer

A) Abelian group 
B) a group but not an Abelian group 
C) not a group 
D) Abelian group but not a group 
A) Abelian group 
B) a group but not an Abelian group 
C) not a group 
D) Abelian group but not a group

Question 5

Perform the addition on the 12-hour clock.
(7 + 3)+ 8

Accepted Answer

The answer of Perform the addition on the 12-hour clock.
(7...

Question 6

Evaluate 9 × (2 - 9)mod 10.

Accepted Answer

The answer of Evaluate 9 × (2 - 9)mod 10....

Question 7

In the system shown, find the value for x when q * x = r.

Accepted Answer

A) r 
B) s 
C) t 
D) q 
A) r 
B) s 
C) t 
D) q

Question 8

Perform the multiplication on the 12-hour clock.
6 × (12 × 3)

Accepted Answer

A) 11 
B) 12 
C) 9 
D) 10 
A) 11 
B) 12 
C) 9 
D) 10

Question 9

Find the value of y using the 12-hour clock.
8 + y = 4

Accepted Answer

The answer of Find the value of y using the...

Question 10

Determine which properties the given mathematical system exhibits. Identify any systems that are
Groups or Abelian groups.

Accepted Answer

A) closure, commutative, identity 
B) closure, commutative 
C) closure, commutative, identity, inverse, associative; Abelian group 
D) closure, commutative, identity, inverse 
A) closure, commutative, identity 
B) closure, commutative 
C) closure, commutative, identity, inverse, associative; Abelian group 
D) closure, commutative, identity, inverse

Question 11

Use the system shown to find s * s.

Accepted Answer

A) r 
B) t 
C) s 
D) q 
A) r 
B) t 
C) s 
D) q

Question 12

Perform the multiplication on the 13-hour clock.
8 × 10

Accepted Answer

A) 11 
B) 12 
C) 2 
D) 6 
A) 11 
B) 12 
C) 2 
D) 6

Question 13

Perform the multiplication on the 12-hour clock.
10 × 2

Accepted Answer

A) 9 
B) 7 
C) 8 
D) 10 
A) 9 
B) 7 
C) 8 
D) 10

Question 14

Which property is not true for all numbers on the 12-hour clock?

Accepted Answer

A) Identity property for multiplication 
B) Closure property for addition 
C) Inverse property for multiplication 
D) Identity property for addition 
A) Identity property for multiplication 
B) Closure property for addition 
C) Inverse property for multiplication 
D) Identity property for addition

Question 15

Find the equivalent number on the 12-hour clock.
368

Accepted Answer

A) 8 
B) 9 
C) 7 
D) 6 
A) 8 
B) 9 
C) 7 
D) 6

Question 16

Determine whether the given system forms (a)a group and (b)an Abelian group.
Even integers under addition

Accepted Answer

A) a group but not an Abelian group 
B) not a group 
C) Abelian group 
D) Abelian group but not a group 
A) a group but not an Abelian group 
B) not a group 
C) Abelian group 
D) Abelian group but not a group

Question 17

Find 378 mod 5.

Accepted Answer

The answer of Find 378 mod 5....

Find 10 × 11 mod 12.

Use the system shown to find r * s.

Find the value of y using the 12-hour clock. y - 9 = 10

Determine whether the given system forms (a)a group and (b)an Abelian group. {-2, 0, 2} under addition

Perform the addition on the 12-hour clock. (7 + 3)+ 8

Evaluate 9 × (2 - 9)mod 10.

In the system shown, find the value for x when q * x = r.

Perform the multiplication on the 12-hour clock. 6 × (12 × 3)

Find the value of y using the 12-hour clock. 8 + y = 4

Determine which properties the given mathematical system exhibits. Identify any systems that are Groups or Abelian groups.

Use the system shown to find s * s.

Perform the multiplication on the 13-hour clock. 8 × 10

Perform the multiplication on the 12-hour clock. 10 × 2

Which property is not true for all numbers on the 12-hour clock?

Find the equivalent number on the 12-hour clock. 368

Determine whether the given system forms (a)a group and (b)an Abelian group. Even integers under addition

Find 378 mod 5.

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Exam 14: Available Online: Other Mathematical Systems

Find 10 × 11 mod 12.

Use the system shown to find r * s.

Find the value of y using the 12-hour clock. y - 9 = 10

Determine whether the given system forms (a)a group and (b)an Abelian group. {-2, 0, 2} under addition

Perform the addition on the 12-hour clock. (7 + 3)+ 8

Evaluate 9 × (2 - 9)mod 10.

In the system shown, find the value for x when q * x = r.

Perform the multiplication on the 12-hour clock. 6 × (12 × 3)

Find the value of y using the 12-hour clock. 8 + y = 4

Determine which properties the given mathematical system exhibits. Identify any systems that are Groups or Abelian groups.

Use the system shown to find s * s.

Perform the multiplication on the 13-hour clock. 8 × 10

Perform the multiplication on the 12-hour clock. 10 × 2

Which property is not true for all numbers on the 12-hour clock?

Find the equivalent number on the 12-hour clock. 368

Determine whether the given system forms (a)a group and (b)an Abelian group. Even integers under addition

Find 378 mod 5.

Problem Solving

Sets

Logic

Numeration Systems

The Real Number System

Topics in Algebra

Consumer Mathematics

Measurement

Geometry

Probability and Counting Techniques

Statistics

Voting Methods

Graph Theory

Filters