# Real Number and Student Answer

**Topics:**Real number, Inductive reasoning, Tour de Georgia

**Pages:**8 (1004 words)

**Published:**February 27, 2013

Let U = {5, 10, 15, 20, 25, 30, 35, 40}

A = {5, 10, 15, 20}

B = {25, 30, 35, 40}

C = {10, 20, 30, 40}.

Find A ⋂ C.

Student Answer: {5, 15, 30, 40}

Ø

{5, 10, 15, 20, 30, 40}

{10, 20}

Instructor Explanation: See section 2.2 of the textbook.

Points Received: 0 of 1

Comments:

2. Question : Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number in the sequence.1 2 4 8 16 ____

Student Answer: 32

Instructor Explanation: See section 1.1 of the textbook.

Points Received: 1 of 1

Comments:

3. Question : State whether the following sequence is arithmetic, geometric, or neither. 0, 1, 4, 9, 16, 25, 36, ....

Student Answer: arithmetic sequence

geometric sequence

neither

Instructor Explanation: See section 5.7 of the textbook.

Points Received: 1 of 1

Comments:

4. Question : Perform the indicated operations:

4·3²-2·4

Student Answer: 28

56

136

568

Instructor Explanation: See section 5.2 of the textbook.

Points Received: 1 of 1

Comments:

5. Question : Phil has 15 stamps of denominations $0.37 and $0.23. If the total value of the stamps is $4.85 how many $0.37 stamps does Phil have?

Student Answer: 5

10

11

9

Instructor Explanation: See section 1.2 of the textbook.

Points Received: 1 of 1

Comments:

6. Question : The peak rate of a phone company is $.22 per minute, and the off-peak rate is $.11 per minute. Find the savings for a 16-minute phone call if it was made during off-peak time as opposed to peak time. Round to the nearest hundreth.

Student Answer: $1.76

$1.78

$3.52

$2.42

Instructor Explanation: See section 1.2 of the textbook.

Points Received: 1 of 1

Comments:

7. Question : Which of the following phrases does not describe the number -¾?

Student Answer: rational number

irrational number

real number

negative number

Instructor Explanation: See section 5.3 of the textbook.

Points Received: 1 of 1

Comments:

8. Question : Find the general term of the set. {2, 4, 6, 8, 10, . . .}

Student Answer: n + 1

3n – 1

n + 1

2n

Instructor Explanation: See section 2.5 of the textbook.

Points Received: 1 of 1

Comments:

9. Question :

Let U = {5, 10, 15, 20, 25, 30, 35, 40}

A = {5, 10, 15, 20}

B = {25, 30, 35, 40}

C = {10, 20, 30, 40}.

Find A ⋂ B.

Student Answer: {5, 15, 30, 40}

Ø

{5, 10, 15, 20, 30, 40}

{10, 20}

Instructor Explanation: See section 2.2 of the textbook.

Points Received: 0 of 1

Comments:

10. Question : The process of arriving at a general conclusion based on the observation of specific examples is called ___________ reasoning.

Student Answer: Inductive

Instructor Explanation: See section 1.1 of the textbook.

Points Received: 1 of 1

Comments:

11. Question : The process of arriving at a specific conclusion based on previously accepted general statements is called ___________ reasoning.

Student Answer: Deductive

Instructor Explanation: See section 1.1 of the textbook.

Points Received: 1 of 1

Comments:

12. Question : Which sentence is not a statement?

Student Answer: 2 x 4 = 7

8 + 2

Jan and Ella are neighbors.

Bill is a photographer.

Instructor Explanation: Say each choice out loud. Which one doesn’t have a verb?...

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