Download EOC Review Homework DO NOT WRITE ON

EOC Review Homework
DO NOT WRITE ON
Algebra II
1. Simplify.
x5 y3
x2 y9
13. Write the equation of the line, in slopeintercept form, through the points
(-3, -2) (1, 6).
2. Solve using the Quadratic Formula.
3x2 – 11x – 4 = 0
3. Factor. 3x2 – 19x + 20
14. Solve. 3x + 1 – 7 = 16
15. Find the slope, y-intercept, and x-intercept
of the line
y=
4
x + 7.
5
4. Solve. 11 < 3y + 2 < 20
16. Solve using the Quadratic Formula:
5. Solve. 3x − 6 + 3 < 15
6. Determine whether the equation represents
a function: y = 3 x + 5
6x2 + 5x + 4 = 0
17. Write the equation of the line, in slopeintercept form, through the points
(3, -8) (-3, 2).
7. Factor. 5d2 + 6d – 8
18. Find the vertex. Describe the translation
8. Write the equation of the line, in slopeintercept form, through the points
(-4, 10) (-6, 15).
as vertical, horizontal, or diagonal for the
graph of y = x − 2 + 1
2 x + y = 1
 x − y = 11
19. Solve the system 
9. Solve. 3x + 1 + 1 = 12
20. Write the equation of the line, in slope10. Find f(-5) for the function f(x) = 2x – 3.
11. Suppose y varies directly with x, and y = 8
when x = 4. Find y when x = 6.
12. Solve using the Quadratic Formula:
7d2 + 2d – 8 = 0
intercept form, through the points
(-3, -1) (6, -4).
21. Solve using the Quadratic Formula:
4x2 + 4x – 15 = 0
22. Solve: 2 x + 2 − 7 ≤ −5
23. The graph of y = x is translated up 4
units and left 1 unit. What is the equation
of the new graph?
 x + 5 y = −3
3 x − 2 y = 8
24. Solve the system 
25. Write the equation of the line, in slopeintercept form, through the points
(4, 3) (3, -2).
26. State the dimensions of the matrix:
15 
9
− 3 0 


 7 − 21
27.
Solve: -6 w − 3 = −24
34. Determine whether the equation is linear
or quadratic: y = (x – 2)(x – 5)
35. Solve: 4b − 4 − 1 = 7
36. Write the quadratic function in vertex
form: y = 2x2 + 8x + 3
37. Solve by factoring: x2 = 10x
3 x + y + z = 18
38. Solve using matrices: 4 x + 2 y + 3z = 12
7 x + 8 y + 5 z = 9

28. Find the sum:
39. Simplify: (6 + 2i) + (1 – 2i)
− 6 − 4 − 7 
− 6 − 9 − 4
 − 1 9 − 5 +  4 − 1 0 




 6
 9
3
9 
7
5 
x − y = 2
x + y = 7
29. Solve the system: 
40. Solve: 3b − 6 + 8 = 20
41. Solve using the quadratic formula write
the answer in simplest radical form:
-2x2 + 12x – 5 = 0
30. Write the equation of the line, in slopeintercept form, through the points
(6, 8) (5, -5).
42. Factor:
 − 3 − 2
8 − 1
X = 


1 
6 0 
31. Solve: 
1
9x2 + 15x + 6
43. State the vertex: y = (x – 8)2 + 4
32. Solve: 2w + 4 − 9 = 31
44. Simplify: (4 + 7i)(2 + 5i)
33. State the vertex of the graph:
y = w+6 −3
45. Solve:
2b − 6 + 4 > 20
2
57.
Solve by factoring: x4 – 4x2 – 45 = 0
46. Use the graph of y = -(x + 3) – 4
to answer the following:
Vertex = ___________
Axis of Symmetry = __________
Max or Min = _________
47. Factor:
16x2 + 48x + 36
48. State the degree of the polynomial:
58. Write in standard form. Name the degree:
12x2 + 5x5 – 7x – 35 + 4x3
59. Find ALL roots of the equation:
x3 – 5x2 + 7x – 35 = 0
60.
Solve:
3 4k + 6 − 8 = 28
p(p – 3)
61. Use the Sum/Difference of Cubes to
49. Divide using synthetic division:
factor: 64x3 – 1
(2x3 + 3x2 + x + 6) ÷ (x + 3)
50. Solve: 5 k + 1 + 6 = 21
51. Solve the matrix equation:
 3 4
5 7 


X – 4 2 = 9 12
1 9 
3 2 
62. Solve by factoring: x4 – 7x2 + 18 = 0
63. Simplify:
3
250
(NO DECIMAL ANSWERS!)
64. Find ALL roots of the equation:
x3 + 3x2 + 6x + 4 = 0
52. Solve by factoring:
27x3 + 1 = 0
3
65. Simplify:
3
18 y 2
12 y
2
53. Solve by factoring: 2x – 8 = 0
66. Solve: 4 7n − 4 − 3 ≥ 9
54. Find the roots of the equation:
x3 + x2 – 17x + 15 = 0
55.
Solve:
3 3k + 2 + 7 = 22
56. Divide using synthetic division:
(2x3 – 3x2 – x – 2) ÷ (x – 2)
2
5
67. Re-write x in radical form.
68. Solve by factoring: 30x2 + 38x + 12 = 0
69. Simplify: ( 5 + 2 3 )( 5 − 2 3 )
70. Solve:
3 x + 4 + 10 = 14
2
3
71. Solve: (4 x + 3) = (16 x + 44)
1
3
72. Solve: 2 8b + 1 − 7 ≥ 9
73. Find the inverse: f ( x) = 2 x 2 + 2
12 7 
6
1
74. Solve: 
 + X = 0 − 1
 6 1


75. Simplify:
76. Solve:
28 x 5 y 4
4 x − 23 − 3 = 2
77. What is f −1 ( g ( x)) when
f ( x) = 2 x + 3 and g ( x) = 4 x + 7 ?
78. Solve: 2 2b + 8 + 8 ≥ 12
79. Determine whether the function
represents exponential growth or decay:
17
y = 12( ) x
10
80. Use the properties of logarithms to write
as a single log: log 3 x − log 3 y
81. Simplify: 5 5 − 3 20
1
82. Solve: (3x + 4) 3 = −5