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Problems to Evaluate the Real Numbers of Integrals - Exam 1 | MATH 200, Exams of Algebra

Material Type: Exam; Professor: Blakely; Class: Elementary Algebra; Subject: Mathematics; University: College of the Sequoias; Term: Unknown 1989;

Typology: Exams

Pre 2010

Uploaded on 08/16/2009

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Exam 1 Review Problems
Simplify
1.
2035
2.
2515
3.
)18(12
4.
)21()7()3(14
5.
)6()15(9)15(24
6.
10)27()84(4918
7.
4
128
8.
)4)(6)(2(
9.
10.
11.
10
3
6
5
12.
12
7
9
4
13.
4
3
6
5
8
7
14.
6
1
3
2
2
1
15.
14
3
9
2
16.
32
15
84
35
17.
4
)2(
18.
4
2
19.
3
)5(
20.
2
6
21.
23124
22.
3
)2(3216
23.
)74(23
2
24.
2)3()58(36
22
25.
22
9)6()1012(4
26.
)1913(4847
2
27.
)64()31(66
28.
8
5
4
3
2
1
29.
9
4
6
1
3
2
30.
2
2
1
12
7
8
5
31.
3
8
3
1
1
4
3
22
Evaluate the expressions for
2,3,5 cba
32.
cba 43
33.
abac 7
34.
acb 4
2
35.
22
ba
36.
222
2cba
37.
2
ba
38.
2
2cb
39.
abcac
2
Find
BA
and
BA
when
40.
6,5,4,3,4,3,2,1 BA
41.
2,1,0,1,1,0,2,3 BA
42.
10,8,6,4,2,9,7,5,3,1 BA
Write the following in set builder notation.
43. all real numbers less than –3 44. all negative even integers greater than –10
45. all integers greater than –35
Solve the equations
46.
1973 x
47.
7512 x
48.
0206 x
49.
51
3
2x
50.
2
4
3
4 x
51.
37413 xx
52.
57202 xx
53.
948 xx
54.
11)32(49 xx
55.
)1(4)2(5 xx
56.
)14(2)4(37 xx
57.
xxx 2)87()12(3
58.
16)25(32)5(2 xx
59.
)2(45)32(3 xx
60.
xxxx )27()4(2)1(5
Solve and graph the inequalities
1
pf3
pf4

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Exam 1 Review Problems

Simplify

  1.  35  20 2.  15  25 3. ^12  (^18 )
  2. ^14 (^3 )(^7 )(^21 ) 5. 24 (^15 )^9 (^15 ) (^6 )
  3. ^18 ^49 (^84 )(^27 )^10 7. 4

8. (^ ^2 )(^6 )(^4 )

6

0

10

 ^ ^ 

4

 ^ ^ 

32

  17. ( 2 )^4

18.  24 19. ( 5 )^3 20.  62

21. 4  12  3  2 22. 16  32 ( 2 )^3 23. 3  22 ( 4  7 )

24. 36 ( 8  5 )^2 ( 3 )^2  2 25. 4 ( 12  10 )( 6 )^2  92 26.  72  4  48 ( 13  19 )

^  

2 2 1 12 7 8 5       ^        31. 3 8 3 1 1 4 3 2 2 ^               Evaluate the expressions for a ^ ^5 ,^ b ^3 , c ^2

  1. 3 ab  4 c 33. ac  7 ab
  2. (^) b^2  4 ac 35. (^) a^2  b^2

36. a^2  2 b^2  c^2 37.  a  b  2

38.  2 b  c  2 39.  c  a  2  abc

Find A  B and A  B when

40. A  1 , 2 , 3 , 4  , B  3 , 4 , 5 , 6  41. A   3 ,  2 , 0 , 1  , B   1 , 0 , 1 , 2 

42. A ^1 ,^3 ,^5 ,^7 ,^9 ^ , B ^2 ,^4 ,^6 ,^8 ,^10 

Write the following in set builder notation.

  1. all real numbers less than –3 44. all negative even integers greater than –
  2. all integers greater than – Solve the equations
  3. 3 x  7  19 47. 12  5 x  7
  4. 6 x  20  0 49. 1 5 3

x  

  1. 2 4

4  x  51. 3 x  1  4 x  7  3

  1. 2 x  20  7 x  5 53. 8  4 xx  9
  2. 9 x^ ^4 (^2 x ^3 )^11 55. 5 (^ x ^2 )^4 ( x ^1 )
  3. 7 ^3 ( x^ ^4 )^2 (^4 x ^1 ) 57. 3 (^2 x^ ^1 ) (^7 x ^8 )^2 x
  4. 2 (^ x^ ^5 )^2 ^3 (^5 ^2 x )^16 59. 3 (^2 x ^3 )^5 ^4 ( x ^2 )
  5. 5 (^1 ^ x^ )^2 ( x ^4 ) (^7 ^2 x ) x Solve and graph the inequalities
  1.  3 x  6 62. 3 2

x

  1. (^4) x  3  1 64. (^7) x  4  3 x  2
  2.  2  x  7 66. 20 ^2 ( x ^9 )^2 ( x ^5 )
  3. 5 (^2 x^ ^1 )^5 ^2 x 68.  5  2 x  1  7
  4.  4  2 x  3  1 70. 0  4 x  4  7
  5. 3 x^ ^7 ^2 or^3 x ^7 ^4 72. 6 x ^5 ^11 or^3 x ^1 ^8
  6. x^ ^3 ^6 and^2 x ^8 74. 3 x ^1 ^7 and^3 x ^5 ^1
  7. 6 times a number is increased by 10. The result is 94. Find the number.
  8. 3 times a number is decreased by 1. The result is 19. Find the number.
  9. The sum of three consecutive page numbers is 138. What are the page numbers?
  10. The sum of two consecutive odd integers is 176. Find the integers.
  11. The second angle in a triangle is four times the first and the third angle is 30  less than the first. Find the measure of each angle.
  12. A union charges monthly dues of $3 plus $.18 for each hour worked during the month. A union member’s dues for July were $31.80. Use an equation to find how many hours were worked in July.
  13. Budget plumbers charged $465 for replacing a water heater and replacing pipes to the water heater. The charge included $365 for materials and $40 per hour for labor. Use an equation to find how many hours of labor were charged.
  14. The monthly income for a manager of a mobile home dealership was $3500. This includes the managers base salary of $2500 plus a 1% commission on total sales. Use an equation to find the sales for the month. Use the formula V^  V^0 ^32 t to answer the following questions, where V is the final velocity, V 0^ is the initial velocity, of a falling object, and t is the time for the object to fall.
  15. Find the time required for a falling object to increase in velocity from 16 ft/sec to 128 ft/sec.
  16. Find the time required for a falling object to increase in velocity from 2 ft/sec to 58 ft/sec.
  17. The length of a rectangle is 5 ft more than the width. If the perimeter is 30 ft, what are the dimensions of the rectangle?
  18. The height of a triangle is 3 cm. If the area is 30 cm^2 , what is the length of the base of the triangle?
  19. One side of a triangle is 2 times the length of the first. The other side is 6 m less than the first. If the perimeter is 26 m, what are the lengths of the sides of the triangle?