Question 1

Is the system shown closed under the operation?

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No A

Question 2

Find the additive inverse of -7 on the 12-hour clock.

Accepted Answer

7

Question 3

Evaluate (4 - 1)- 8 mod 11.

Accepted Answer

A) 7 
B) 6 
C) -5 
D) 5 
A) 7 
B) 6 
C) -5 
D) 5 B

Question 4

Perform the subtraction on the 12-hour clock.
4 - 5

Accepted Answer

The answer of Perform the subtraction on the 12-hour clock.
4...

Question 5

Find the additive inverse of 5 on the 12-hour clock.

Accepted Answer

The answer of Find the additive inverse of 5 on...

Question 6

Find the multiplicative inverse of 9 on the 12-hour clock if it exists.

Accepted Answer

The answer of Find the multiplicative inverse of 9 on...

Question 7

Find the equivalent number on the 12-hour clock.
-116

Accepted Answer

A) 5 
B) 3 
C) 2 
D) 4 
A) 5 
B) 3 
C) 2 
D) 4

Question 8

On a game board, there is a spinner that has spaces marked 1 through 11 in order. The pointer is on
The 9 and Shira spins it so that it spins past 65 spaces and lands exactly on a number. What number
Does the spinner land on?

Accepted Answer

A) 7 
B) 8 
C) 6 
D) 3 
A) 7 
B) 8 
C) 6 
D) 3

Question 9

Perform the addition on the 12-hour clock.
4 + 12

Accepted Answer

The answer of Perform the addition on the 12-hour clock.
4...

Question 10

Perform the addition on the 10-hour clock.
4 + 9

Accepted Answer

A) 3 
B) 4 
C) 7 
D) 2 
A) 3 
B) 4 
C) 7 
D) 2

Question 11

Evaluate 9 - (2 - 4)mod 11.

Accepted Answer

The answer of Evaluate 9 - (2 - 4)mod 11....

Question 12

Evaluate (5 × 4)× 10 mod 11.

Accepted Answer

A) 3 
B) 200 
C) 2 
D) 1 
A) 3 
B) 200 
C) 2 
D) 1

Question 13

Find 8 + 5 mod 10.

Accepted Answer

The answer of Find 8 + 5 mod 10....

Question 14

Use the system shown to find t * (r * q).

Accepted Answer

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

Question 15

In the system shown, is the operation commutative?

Accepted Answer

A) No 
B) Yes 
A) No 
B) Yes

Question 16

The following is an example using the 12-hour clock of which property?
3(2 + 5)= 3(2)+ 3(5)

Accepted Answer

Distributi

Question 17

In the system shown,

Accepted Answer

The answer of In the system shown,  ...

Question 18

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

Accepted Answer

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

Question 19

Evaluate (4 + 11)+ 4 mod 12.

Accepted Answer

A) 8 
B) 7 
C) 6 
D) 19 
A) 8 
B) 7 
C) 6 
D) 19

Question 20

In the system shown, is there an identity for the operation?

Accepted Answer

A) Yes, r is the identity. 
B) No, there is no identity. 
C) Yes, t is the identity. 
D) Yes, s is the identity. 
E) Yes, q is the identity. 
A) Yes, r is the identity. 
B) No, there is no identity. 
C) Yes, t is the identity. 
D) Yes, s is the identity. 
E) Yes, q is the identity.

Is the system shown closed under the operation?

Find the additive inverse of -7 on the 12-hour clock.

Evaluate (4 - 1)- 8 mod 11.

Perform the subtraction on the 12-hour clock. 4 - 5

Find the additive inverse of 5 on the 12-hour clock.

Find the multiplicative inverse of 9 on the 12-hour clock if it exists.

Find the equivalent number on the 12-hour clock. -116

On a game board, there is a spinner that has spaces marked 1 through 11 in order. The pointer is on The 9 and Shira spins it so that it spins past 65 spaces and lands exactly on a number. What number Does the spinner land on?

Perform the addition on the 12-hour clock. 4 + 12

Perform the addition on the 10-hour clock. 4 + 9

Evaluate 9 - (2 - 4)mod 11.

Evaluate (5 × 4)× 10 mod 11.

Find 8 + 5 mod 10.

Use the system shown to find t * (r * q).

In the system shown, is the operation commutative?

The following is an example using the 12-hour clock of which property? 3(2 + 5)= 3(2)+ 3(5)

In the system shown,

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

Evaluate (4 + 11)+ 4 mod 12.

In the system shown, is there an identity for the operation?

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Exam 14: Available Online: Other Mathematical Systems

Is the system shown closed under the operation?

Find the additive inverse of -7 on the 12-hour clock.

Evaluate (4 - 1)- 8 mod 11.

Perform the subtraction on the 12-hour clock. 4 - 5

Find the additive inverse of 5 on the 12-hour clock.

Find the multiplicative inverse of 9 on the 12-hour clock if it exists.

Find the equivalent number on the 12-hour clock. -116

On a game board, there is a spinner that has spaces marked 1 through 11 in order. The pointer is on The 9 and Shira spins it so that it spins past 65 spaces and lands exactly on a number. What number Does the spinner land on?

Perform the addition on the 12-hour clock. 4 + 12

Perform the addition on the 10-hour clock. 4 + 9

Evaluate 9 - (2 - 4)mod 11.

Evaluate (5 × 4)× 10 mod 11.

Find 8 + 5 mod 10.

Use the system shown to find t * (r * q).

In the system shown, is the operation commutative?

The following is an example using the 12-hour clock of which property? 3(2 + 5)= 3(2)+ 3(5)

In the system shown,

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

Evaluate (4 + 11)+ 4 mod 12.

In the system shown, is there an identity for the operation?

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