Honors Algebra II
Review Work Packet for School Year 2013-2014
The following packet is being assigned the first day of classes (September 5, 2013) as a
review of topics from Algebra I and is designed to refresh the skills necessary for success in an
Algebra II Honors course of study. Your completed work will be collected during the first full
week of school. It will be assessed on completeness, correctness and organization.
Please use a pencil and show relevant work and solutions on separate lined or graph
paper. Work must be legible, well organized and done by you (the student). All graphs should
be on graph paper and all solutions clearly labeled. Show or explain how you arrive at all of
your answers. We suggest you use a 3 ring ½ in. binder to organize your solutions and
supporting work.
Have a great summer and we look forward to meeting you in the fall!!
Honors Algebra II Algebra Review Packet
Name: _____________________________
Part A
Evaluate each expression if a = 3, b = 7, c = -2
1. c2
2.
a2 + 2a – 3
3.
– c2
4. 10 – c
5. b(2 – 7)3
Simplify the following.
6. 5(33 - 2)
7. (6+ 5) 4 – 3
8. 4 + 8(4) ÷2 – 10
9. 15 ÷ 3 ∙ 5 + 1
10. 3(5 – 2)2 + 6 ÷ 3
11. (-6)2
12. - 4 2
13. 4x + 3y - 3x + 7y – 4 – 6
2
2
14. (3x + 12x) - (7x - 5 - 3x )
15. | -20 + 6 |
Date: ___________________
Solve each equation.
16. 5x + 10 = 45
17. 6x + 9 – 3x + 15 = 30
18. 2 (3x + 1) = 20
19. 3y + 3 = - 12
20. 2y – 8 = 14 – 9y
21. 3 = -3(y + 5)
22. 4 (a - 2) – a = - 14
23. 4.5 – 3.9m = 20.1
24.
25.
26.
27.
= x = 90
=7
-=8
28. 2x < 8
29. 8y – 6 > 3y + 12
30. x – 8 < 3x + 4
31. 10 = √ - 2
32. | 2x + 1 | = 7
33. 5 | x | = 20
34. - 6 |2 x - 14| = - 42
35. x2 =16
36. 2x2 - 7x + 3 = 0
Solve each inequality. Graph the solution set.
37. 6x + 4 ≥ 34
38. 15 – 5x > 55
Graph each equation.
39. y = 2
40. x = -3
41. 5x + 3y = 15
42. y = x + 4
43. y = -
x–1
Graph each quadratic equation. Label the vertex, axis of symmetry, and the x-intercepts.
44. y =
x
2
45. 6 9
Determine the slope of the line passing through each pair of points.
46. (8, -4) and (6,1)
47. (-5, -4) and (5,2)
48. (1,8) and (7,8)
49. (3, -1) and (3, -6)
Using point-slope form: write an equation for the line that satisfies each of the given conditions. Leave
your answers in slope-intercept form.
50. slope = , passes through (6,4)
51. passes through (6,1) and (8, -5)
52. x-intercept = -3, y-intercept = 6
53. passes through (4,2) and is parallel to the line whose equation is y = 2x - 4.
54. passes through (-2,0) and is perpendicular to the line whose equation is y = -3x + 7.
Graph the system of equations and state its solution.
55. x + 2y = - 7
2x – 3y = o
Solve each system of inequalities by graphing.
56. y – x < 3
y≥x+2
57. x ≤ 1
y>3
Solve each system of equations using the substitution method.
58. y = 3x
x + 21 = -2y
59. 2x + y = 1
X–y=8
Solve each system of equations using the elimination method.
60. 3x – 6y = 15
-3x + 5y = -8
61. 8x + 3y = 4
4x -9y = -5
62. m = 6 - n
2m – n = 3
Simplify each of the expressions. Use only positive exponents in your answers.
63. 4ab2 - 3ab2
64. y5 ∙ y 7
3 5
65. c- c
66. (2a) 3
67. (x2 y2 )4 xy 5
68.
69. x -2 y
70.
³
6
3
2
71. (2x )(3y )(6x )
6 3
72. (4cd )
0
73. – 4
74.
-2
75. 24xy
Simplify the following radicals. Leave your answers in radical form.
76. 2√5 + 4√5 - 3√5
77. √12 + 4√15
78. √192
79.
6 · 15
80. !
Factor.
81. x2 + 6x + 8
82. y2 + 4y – 45
83. 4w2 -25
2
84. 2x - 3x – 5
2
85. 8x - 16x + 8
Multiply.
2
3
86. 6x (7x - 3y)
87. (2x - 5)(x + 3)
88. (3x + 1)
2
89. (x -1)(x +1)
90. (x + 2)(x – 1)
Part B
Create a typed, double spaced paper, titled “Algebra II Honors - Unit 1 Introductory Key Terms “ that
defines the important Algebra I topics listed below. All definitions should be in the context of Algebra.
List your sources on the last page of the paper.
slope of a line
composite
function
relation
translation
Function
slope-intercept
form of a line
domain
standard form of a
line
function notation
point-slope form
of a line