# Real Number and Student Answer

Topics: Real number, Inductive reasoning, Tour de Georgia Pages: 8 (1004 words) Published: February 27, 2013
1. 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 ⋂ 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.

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 ____

Instructor Explanation: See section 1.1 of the textbook.

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

geometric sequence
neither
Instructor Explanation: See section 5.7 of the textbook.

4. Question : Perform the indicated operations:
4·3²-2·4

56
136
568
Instructor Explanation: See section 5.2 of the textbook.

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?

10
11
9
Instructor Explanation: See section 1.2 of the textbook.

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.

\$1.78
\$3.52
\$2.42
Instructor Explanation: See section 1.2 of the textbook.

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

irrational number
real number
negative number
Instructor Explanation: See section 5.3 of the textbook.

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

3n – 1
n + 1
2n
Instructor Explanation: See section 2.5 of the textbook.

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.

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

Instructor Explanation: See section 1.1 of the textbook.

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

Instructor Explanation: See section 1.1 of the textbook.

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?...