Download WS Chapter 5

WS Chapter 5
Discrete Math
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Find the prime factorization of the number.
1. 252
2. 122
3. 1162
Find the greatest common divisor and the least common multiple of the numbers.
4. 42, 126
5. 104, 405
6. 140, 196
7. A store owner wishes to stack books into equal piles, each pile containing only one title.
There are 18 books of one title and 42 books of another title in the shipment. What is the
largest number of books that can be stacked in each pile?
8. Two cars race around a circular track (both in the same direction). One car can travel
around the track in 30 seconds. The other car travels around the track in 45 seconds. If bot
cars start from the same place, how long will it take for them to meet at the same place if they
continue to race?
Evaluate each expression.
30
0
9. 61 - (-14)
10.
12. 7(5 - 3)2 - 2(6 - 4)3
13. 42  8  22 4  4
Reduce the rational number to its lowest terms.
52
15.
117
11. -7(-9) - 4(-2)
14. 4  4   5  2 
2
16.
2
39
48
Convert the mixed number to an improper fraction or improper fraction to a mixed number.
10
2
10
14
17. 21
18. 3
19.
20. 
19
3
5
5
Express the decimal as a quotient of integers. If possible, reduce to lowest terms.
21. 0.6
22. 0.824
23. 0.47
24. 0.506
WS Chapter 4 Cont.
Discrete Math
Pg 2
Perform the indicated operations. Where possible, reduce the answer to lowest terms.
 3  5 
 9   2
1 1 6
25.  3  2 
26.      
27.      
 7  8 
 21   21 
5 6 9
5 1 1 2
28.
   
6 3 3 5
2 1 4 1
29.       
3 6 5 4
19
30. 49
2
3
7
Perform the indicated operations and simply the answer when possible.
10
31. 200
32.
33.
5
34.
18  8
35.
2
6 6 3
36.
2  2 98  4 8
14
18
Write the first 6 terms of the arithmetic sequence with the first term, a 1, and common difference
d.
37. a1 = 6; d = 5
38. a1 = -22; d = -6
Find the indicated term for the arithmetic sequence with first term, a 1, and common difference d.
39. Find a8, when a1 = -10, d = -3
40. Find a13, when a1 = 7, d = 5/2
Write a formula for the general term (the nth term) of the arithmetic sequence. Then use the
formula for an to find a20, the 20th term of the sequence.
41. 8, 24, 40, 56, 72, ...
42. -10, -17, -24, -31, ...
Write the first six terms of the geometric sequence with first term a 1, and common ratio, r.
43. a1 = 6, r = 4
44. a1 = -7; r = -2
Find the indicated term for the geometric sequence with first term a 1, and common ratio r.
1
45. Find a6, when a1 = 7, r = 5
46. Find a8, when a1 = 12, r = 
3