Download Chapter 5 and 8 Test Review

Chapter 5 and 8 Test Review
Name: _______________________
Course: ______________________
Date: __________________
Give the degree and coefficient of each monomial:
3
1. 3a
2. xy
2
3. 2d e
2 3
4. x y z
Give the degree of each polynomial:
3
5. 2x 3x 4
5
2
2 2
6. 4a 2b a b
3
2
2
3
7. − 3x y 2x y− xy 9 y
3 4
8. − 2 a bc
Simplify the expression:
3
9. − 2
3
10. − 2
1
11. -4 * 2 2
6 3
12. 3
5
5
13. 4x ∗ 5x
3 2
3
14. ab ab
0 4
15. z z
3
2
16. 3a 4a 2b
2 3
17. x− y x y
a− b 3
18. 2
2
2
19. Are the expressions 4x and 4x equivalent? If not, find the correct equivalent expression.
3
3
6
20. Are the expressions 3 ∗ 2 and 6 equivalent? If not, find the correct equivalent expression.
Determine if the expressions are like terms. If they are add them
2
2
21. a ,3a
2
2
22. 7x y ,− 4xy
23. 4xy ,− 9xy
Add the Polynomials:
2
24. 3x 4x 1 − 4x 4
25. − x 5 2x− 5
3 2
2 3
3a 2 b3− 2a 3 b 2
26. 2a b a b
2
2
27. 8x 3x 5 − x − 3x− 9
3
4a 3 7
28. a − 6a
Chapter 5 and 8 Test Review cont.
Name: _____________________
Subtract the polynomials:
29. (3x + 1) - (-x + 3)
2
2
30. − x 6x 8 − 2x x− 2
2
2
3
31. ab − ab a b
4
4
2
32. 3z − z − − z 4z − 5
Multiply the Polynomials:
33. − 5 9x 1
2
2
34. 5rt r 2rt 2t
3
2
35. 4x ∗ 5x
2
36. 3ab∗ ab
37. x 3 x 6
2
38. x 2
39. x 5 x 2
40. 2x 4 2x− 4
41.
42.
43.
44.
1− 3x2 1− 3x
m 1 m2 3m 1
5x 4 x 2 − 3x 2
x 13
Write the expressions in scientific notation:
45. 12,000,000
46. 0.000895
47. -0.05
48. 867
Write the expressions in standard notation:
4
49. 2.3 x 10
−3
50. − 5.0 x 10
1
51. 7.1 x 10
−5
52. 3.72 x 10
Evaluate the expressions:
3
−2
53. 5 x10 3 x10
−2
4.6 x 102
54. − 3 x 10
6.2 x 10 2
55. 2 x 10− 3
4 x 105
56. 2 x 102
Date: __________________
2
2 −3
57. ab a
−2
8a
58. − 3
2a
Chapter 5 and 8 Test Review cont.
Name: _____________________
Date: __________________
a −3
59. b
− 4xy5
60.
6x3 y 2
Divide the Polynomial:
9x4− 3x 6
61. 3x
4
4x− 7x
62. 2
x
2x2− 3x 1
63. x− 2
2x3 3x2 3x− 1
64. 2x 1
3
x 1
65. 2
x−x 1
x 4 − 16
66. x− 2
Evaluate the Radicals:
67.
1
9
68.
16
25
4
0.25
69.
70.
71.
72.
3
27
3
− 64
Find the length of the missing side of a right triangle using Pythagorean Theorem:
73. a = 3 inches, b = 4 inches
74. a = 7 miles, c = 25 miles
75. b = 8 feet, c = 10 feet
Find the distance between the two points:
76. (1, 2) and (-3, -1)
77. (-2, 2) and (3, 14)
Multiply the radicals:
78. 3∗ 7
2
2
79. 3 ∗ 3
Chapter 5 and 8 Test Review cont.
Name: _____________________
7x∗ 3z
a∗ 8a
80.
81.
Divide the radicals:
4
82. 49
3r 2
81
83.
3
75x
3x
32
∗
85.
xy
84.
x3 y
2
Add the radicals:
86. 4 3 27
87. 7 2 2 8 32
88. 10 20 11 45
x3 2x2
89. 4x
Subtract the radicals:
90. 2 54− 2 24
91. x− 5 x
92. 2 8t− 6 2t 2 9t
3
93. 25x− 4x
Identify the conjugate:
94. 2 5
95. 1− 7
Multiply and Simplify:
96. 4− 3 4 3
97. t 1 t− 2
Rationalize the denominator:
2
98.
5
Date: __________________
3
99.
18
3
2t
100.
101.
1
7 2
Chapter 5 and 8 Test Review cont.
Name: ____________________
x 2
x− 2
102.
1
103. 2 x
104. −
105.
3
b
3
3 2
Date: __________________