MTE 180                                                       Place label hereel her

 

Phil Clark

 

Test  #2 - Covers 2.3, Chapters 3 and 4 and  Section 5.1

 

 

No note cards! 

 

Scratch paper is provided.

 

Use of calculators is encouraged.

This test is 7 pages and includes 10 problems and one extra credit problem.

 

 

Instructions:

To receive credit, you must show all work and explain all your reasoning. If you use you calculator, tell me how. If you guess-and-check, tell me how.

 

 

Honor Statement:

By signing below you confirm that you have neither given nor received any unauthorized assistance on this exam.  This includes any use of a graphing calculator beyond those uses specifically authorized by the Mathematics Department and your instructor.  Furthermore, you agree not to discuss this exam with anyone until the exam testing period is over.  In addition, your calculator’s program memory and menus may be checked at any time and cleared by any testing center proctor or Mathematics Department instructor.

 

 

                                                                                                                                                                               

                  Signature                                                                            Date

 

 

 

 

 

 

 

1.      True and False.  If the statement is false give a counter example.  [2 pts each]

 

a) There are five prime numbers between 1 and 10.                                     T      F

 

 

b) The product of 3 consecutive integers is an even number.                                    T      F

 

 

c) GCF(a,b)ôLCM(a,b) for all a and b.                                                                 T       F

 

 

d) The set of integers is not closed under all four fundamental               T     F     operations.                                   

 

e) 2 ´ 33 ´ 5 ´ 11 is a factor of  23 ´ 32 ´ 54 ´ 11.                                               T       F

 

 

 

 

 

2.  Write all the primes between 342 and 354.  Show your work. [8 pts]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

3.   Perform the following: [2 pts each for a-c]

 

a)      Tell what comes after:

i)       

 

 

 

ii)      

 

 

 

b)      Tell what comes before:

i)       

 

 

 

ii)      

 

 

 

c)      Convert the following to base 10:

i)       

 

 

 

ii)      

 

 

 

d)      Convert the following number from base 10 into base 6 [4 pts]:

i)       

 

 

 

 

 

 

 

 

 

 

 

 

 

4. Write your own word problem that involves dividing whole numbers using either the partitioning model or the measurement model.  Solve the problem showing manipulatives or some other illustration of the solution.  Be sure to tell which model you have chosen! [8 pts]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

5. With the bank account I have if my balance drops under $500 I get charged a $5 fee.  My balance at the end of June was $576.  During July I wrote checks for $100, $22, and $156, and had a withdrawal of $50.  I made deposits of $250 and $50 during the month.  What was my balance at the beginning of August? [8 pts]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

6.  Solve the following using logic and justify your answers:  [4 pts each]

a)      If you add together 20 consecutive whole numbers starting with an even number, will the sum be even or odd? 

 

 

 

 

 

 

 

 

 

 

 

b)      If a divides b and b divides c, does a divide c? 

 

 

 

 

 

 

 

 

 

 

 

 

 

c)      Find two numbers less than 80 that have an LCM of 80 and a GCF of 4.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

7. Use Venn Diagrams to find the GCF and LCM of each of the following pairs of  numbers: [5 pts each]

           

(a)    100, 150

 

 

 

 

 

 

 

 

 

 

(b)   70, 90                   

 

 

 

 

 

 

 

 

 

 

 

 

8. Candy bars priced at 50¢ each were not selling, so the price was reduced.  Then they all sold in one day for a total of $31.93.  What was the reduced price for each candy bar? [8 pts]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

9.   Marcy has triplets.  One needs to be fed every 120 minutes, one needs to be fed every 100 minutes, and one needs to be fed every 140 minutes.  All three babies were fed at 6 a.m. [8 pts]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

10. Sketch the base 10 pieces to illustrate the following.  Explain each step you use to get the correct answer and show all trades you make. [6 pts each]

 

a)      12 ´ 14

 

 

 

 

 

 

 

 

 

 

 

 

b)      124-76