T101 - REVIEW CHAPTER 4

 

 

 

1.         Find -x when x = -20.

 

2.         Add:     16 + (-14) + (-9) + 16 + (-18)

 

3.         Use a property of subtraction to rewrite each of the following as a sum.

 

            (a)        8 - 3                 (b)        3 - (-8)                (c)     -2 - 7

 

4.         During one week of activity the stock market had the following results at the end of

five consecutive days:  down 14 points, down 16 points, up 10 points, up 28 points,

and up 9 points.  What was the net change at the end of the five day period?

 

5.         Multiply:           -9  (-12)  3

 

6.         Simplify:           -5 - 8  3 + 9

 

7.         In a chemical experiment the temperature is -32o C at 3:00 P.M.  What is the

temperature at 3:21 P.M. if the temperature increases 3o C per minute?

 

8.         Classify each of the following as true or false:

 

            (a)  If x│(a + b) then x│a or x│b.

 

            (b)  If a number is divisible by 3 and 6, then it is divisible by 18. 

 

            (c)  28│7

 

9.         Which of the following numbers are divisible by 3?   4119,     2909,     8189,    3333

 

10.       Which of the following numbers are divisible by 8?   6271,     9597,     8750,     8474

 

11.       Which of the following numbers are divisible by 11?  8554,    2770,     8202,     7887

 

12.       Fill each blank with one digit to make each of the following true.  (Find all possible answers.)

(a)        6│80_7                       (b)        24│7_624

 

13.       Find all the factors of 14.

 

14.       Write the prime factorization of 119.

 

15.       What is the greatest prime number to consider to test whether or not 1851 is prime?

 

16.       Farmer Welch has 720 pear trees.  He wants to plant them in rows that have the

same number of trees in each row.  Since his property is approximately square,

what are his best options?

 

17.       Find the GCD of 36 and 2.

 

18.       Find the GCD:  72, 96, 114

 

19.       Find the LCM of 8 and 13.

 

20.       Find the LCM:  12, 18, 45

 

21.       If a number is greater than the GCD (74, 111), less than the LCM (8, 5), and the

number is odd, what is it?

 

22.       At 12:00 P.M. Bob and Sally are sitting in a class.  Every 25 seconds Bob looks up

to see if Sally is looking at him.  Every 55 seconds Sally looks up to see if Bob is

looking at her.  If they immediately look back at their desks each time, how long

will it be before they make eye contact?           

 

23.       Han makes 35¢ profit on every box of candy he sells.  On Friday he decides to

spend all of his profits on his friends.  He buys each one a large soda at 91¢ each. 

If he has no money left over, what is the least number of friends Han might have?

 

24.       Find the least number divisible by each natural number greater than 2 and less than

11.

T101 - REVIEW CHAPTER 4 SOLUTIONS

1.         20                          2.  -9

3.         (a)  8 + (-3)                  (b)  3 + 8                     (c)  -2 + (-7)

4.         up 17 points            5.  324                 6.  -20            7.  31o C

8.         (a)  false                       (b)  false                       (c)  false

9.         4119,     3333           10.  none of these numbers             11.  7887

12.       (a)  none                (b)  72624,   75624,   78624      13.  1, 2, 7, 14

14.       7  17                   15.  43                     16.  24 rows of 30 trees

                                                                                30 rows of 24 trees

17.       2                          18.  6                     19.  104                 20.  180

21.       39                        22.  275 seconds                23.  5 friends

24.       2520