Download 2 Semester Exam Review

MA27
Algebra
Ê 4 xˆ
Ë 6 ¯
3
50
49
x =9
nd
2 Semester Exam
Review
Name:
MPS/Rev. Spring 2010
Please show all work, as modeled in class.
(Chapter in McDougal Littell Algebra I)
1. Simplify each expression. (1.2)
a) 24 =
b) 70 =
2. Simplify each expression. (1.2)
a) 152 =
b) “five cubed” =
Evaluate each expression when x = –3 and y = 2 in Questions 3–4. (1.2)
3. 2x + 3y3 =
4. (3y)2 – (x + 5) =
5. Simplify each expression. (1.3)
a) 7 – 2(5 + 4) + 15
3
14 ! 2 + 2 3
b) 2
3 - (3 + 1)
6. Which of these equations best describes the pattern in the table? (1.7)
a) y = |5x|
b) y = x – 12
c) y = x2
d) y = 5x
nd
MA27 Algebra • 2 Semester Exam Review
MPS/Rev. Spring 2010
1
Please show all work, as modeled in class.
(Chapter in McDougal Littell Algebra I)
Simplify each expression for Questions 7–12. (2.6)
7.
a) –5(m – 3)
b) 7x – x
8. 3(2x2 + 5x – 1)
9. 5y + 3x + 2y + 7x
10. 3 + 2x – 4y + 1 – 7x
11. 6(y – 2) + 3(y + 2)
12. 2(3x – 1) – (x + 1)
Solve each equation for the variable in italics in Questions 13–18. (3.7)
13. d = rt
14. A = bh
nd
MA27 Algebra • 2 Semester Exam Review
MPS/Rev. Spring 2010
2
Please show all work, as modeled in class.
(Chapter in McDougal Littell Algebra I)
15. P = a + b + c
16. P = 2L + 2w
17. A =
1
bh
2
18. x =
a+b
2
19. Write the equation of the line. (4.2)
Graph each equation for Questions 20–21. (4.6)
20. y = x – 3
nd
MA27 Algebra • 2 Semester Exam Review
MPS/Rev. Spring 2010
3
Please show all work, as modeled in class.
21. y =
(Chapter in McDougal Littell Algebra I)
3
x -1
5
Evaluate the function for the given value. (4.8)
22. f ( x) = x 2 find: f (-4), f (-1), f (0), f (7)
23. Which of the equations below matches this table? (4.8)
x 1 2 3 –1 –2
y 1 4 9
1
4
a) y = –x + 2
b) y = x2
c) y = 2x + 3
d) y = –x2
Write in slope-intercept form the equation of the line that passes through each point and
has the given slope in Questions 24–25. (5.2)
24. (0, 4) slope =
1
2
25. (–2, –5) slope =
nd
3
4
MA27 Algebra • 2 Semester Exam Review
MPS/Rev. Spring 2010
4
Please show all work, as modeled in class.
(Chapter in McDougal Littell Algebra I)
Write the equation of the line that passes through the given points in Questions 26–27. (5.3)
26. (0, 1) and (–2, 0)
27. (5, 4) and (–2, –4)
Write the equation of the line in point-slope form in Questions 28–29. (5.2–5.3)
28.
29.
Write each equation in standard form using the information given in Questions 30-31.
(5.6)
30. (–6, 2) and (3, 5)
31. (2, 3) and (6, 0)
nd
MA27 Algebra • 2 Semester Exam Review
MPS/Rev. Spring 2010
5
Please show all work, as modeled in class.
(Chapter in McDougal Littell Algebra I)
State whether the two lines given are perpendicular, parallel, or intersecting in Questions
32-33. (5.3)
32. 5x + y = 9
y = –5x + 6
33. 3x + 2y = 6
4x + 3y = 12
Solve each inequality and graph for Questions 34–38. (6.1– 6.2)
34.
x
£ -12
4
35. 23 < –7 – 2y
36. –2(x + 5) > 4
37.
x
+ 11 ! 4
-2
nd
MA27 Algebra • 2 Semester Exam Review
MPS/Rev. Spring 2010
6
Please show all work, as modeled in class.
(Chapter in McDougal Littell Algebra I)
38. 2x + 7 < –9x + 7
Solve each equation in Questions 39–41. (6.4)
39. |x| = –16
40. 9x = 45
41.
x
+6 = 7
4
42. A track meet had 9 people running the 200-meter race. How many different ways could
there be 1st, 2nd, and 3rd place winners?
a) 24
b) 81
c) 504
d) 84
nd
MA27 Algebra • 2 Semester Exam Review
MPS/Rev. Spring 2010
7
Please show all work, as modeled in class.
(Chapter in McDougal Littell Algebra I)
Match the situation to a graph that might represent it in Questions 43–44.
43. You ride your bike to your friends house, but make 2 stops on the way.
44. You ride your bike in a race and when you reach your maximum speed you continue for the
remainder of the race at that speed.
Solve each inequality and graph for Questions 45–46. (6.1–6.2)
45. –4z ≥ 32
46. 7y – 3 < –38
nd
MA27 Algebra • 2 Semester Exam Review
MPS/Rev. Spring 2010
8
Please show all work, as modeled in class.
(Chapter in McDougal Littell Algebra I)
Solve each inequality and graph its solution for Questions 47–48. (6.3)
47. –4 < x + 11 < 3
48. 2x – 9 < 1 or x – 12 > 3
49. At Lunchies, the menu lists the following choices:
Lettuce: iceberg, spinach, romaine
Toppings: cheese, peppers, olives, tomatoes
Dressing: ranch, blue cheese, Italian
How many different outcomes for choosing a salad are there if one item is chosen from each
group?
a) 12
b) 4
c) 10
d) 36
50. Use the graph to determine the solution to the system of linear equations. (7.1)
x+y=1
2x – y = 2
nd
MA27 Algebra • 2 Semester Exam Review
MPS/Rev. Spring 2010
9
Please show all work, as modeled in class.
(Chapter in McDougal Littell Algebra I)
51. Graph to determine the solution of the linear system of equations. (7.1)
x + 2y = 2
x–y=2
52. Determine the solution of each linear system of equations. (7.2, 7.3, 7.5)
a)
x + 3y = 11
–x + 3y = 7
b)
2x – y = 2
4x + 3y = 9
Write a system of linear equations and solve for Questions 53–54.
53. The sum of two numbers is 154. The difference of the numbers is 38. Find the numbers.
54. A cash register contains $20.90 in dimes and quarters. If there are 119 coins in all, how
many of each coin are in the cash register?
nd
MA27 Algebra • 2 Semester Exam Review
MPS/Rev. Spring 2010
10
Please show all work, as modeled in class.
(Chapter in McDougal Littell Algebra I)
Solve and graph each inequality for Questions 55–56. (6.1)
55. x > 15
56.
x
£ -12
4
Simplify each expression for Questions 57–58. (8.1)
57.
a) y • y
b) z5 • z
58.
a) 2a(3b)(5a)
b) (2a3b)3
59. Simplify each expression. (8.2)
a) 80
b) 3–3
c) a–3b2
60. Simplify each expression. (8.3)
a)
y
y3
b)
nd
MA27 Algebra • 2 Semester Exam Review
MPS/Rev. Spring 2010
3x 4
9x
11
Please show all work, as modeled in class.
(Chapter in McDougal Littell Algebra I)
61. Simplify each expression. (8.3)
Ê 2x ˆ
b)
Ë 3¯
9xy 4
a)
-18x
3
62. Multiply. Write your answer in scientific notation. (8.4)
(2.3 x 107) x (3.4 x 10–4)
63. Multiply. Write your answer in scientific notation. (8.4)
(5.8 x 105) x (9.1 x 1013)
64. Solve the inequality and graph. (6.1–6.2)
–2(x + 5) > 4
65. Determine whether the ordered pair is a solution to the system of linear equations.
x – y = –5
x + 2y = 4
nd
MA27 Algebra • 2 Semester Exam Review
MPS/Rev. Spring 2010
(–2, 3)
12
Please show all work, as modeled in class.
(Chapter in McDougal Littell Algebra I)
66. Graph to determine the solution to the system of linear equation. (7.1)
2x + y = 4
–4x – 2y = –8
67. Determine the solution of the linear system of equations. (7.2–7.3, 7.5)
2x – 3y = –8
x+ y=1
Simplify each expression for Questions 68–69. (9.1–9.2)
68.
a)
100
b)
45
69.
a)
16
25
b)
50
49
Solve each equation. Write your answer in simplest radical form for Questions 70–71. (9.1)
70.
a) x2 = 25
b) x2 = –9
71.
a) 3x2 = 36
b) x2 – 24 = 0
nd
MA27 Algebra • 2 Semester Exam Review
MPS/Rev. Spring 2010
13
Please show all work, as modeled in class.
(Chapter in McDougal Littell Algebra I)
Solve each equation. Write your answer in simplest radical form for Questions 72–73. (9.6)
72. x2 – 7x + 12 = 0
73. 2x2 – 5x – 1 = 0
Simplify each expression for Questions 74–75. (8.1–8.3)
74.
a) m2 • m3
75.
a)
b) 2–3
x5
x3
b)
12 xy 2
18 x 3 y 2
76. At Mesa Hot-Dog’s, the menu lists the following:
Dogs: regular, foot-long, bratwurst
Buns: white, whole wheat
Toppings: cheese, kraut, chili, onions, peppers
How many different outcomes for choosing a hot dog are there if one item is chosen from
each group?
a) 15
nd
MA27 Algebra • 2 Semester Exam Review
MPS/Rev. Spring 2010
b) 36
c) 24
d) 30
14
Please show all work, as modeled in class.
(Chapter in McDougal Littell Algebra I)
77. Simplify each expression by adding or subtracting. Write your answer in standard form.
(10.1)
a) (x2 – 4) + (2x2 + 6)
b) (2x2 – x + 1) – (3x2 + x + 1)
Simplify each expression for Questions 78–81. (10.2)
78. –4(x2 + 1)
79. 5x(2x2 – 3x – 1)
80. (x + 7)(x + 3)
81. (3x + 1)(x – 4)
Factor for Questions 82–84. (10.5–10.7)
82. a) x2 + 7x + 6
b) x2 + 10x + 21
83. a) x2 – 5x + 6
b) x2 + 3x – 10
84. a) x2 – 4x – 21
b) x2 – 25
nd
MA27 Algebra • 2 Semester Exam Review
MPS/Rev. Spring 2010
15
Please show all work, as modeled in class.
85. Factor completely. (10.6)
(Chapter in McDougal Littell Algebra I)
3x2 – 18x + 27
Solve each inequality and graph the solution for Question 86–87. (6.1-6.3)
86.
x
+ 11 ! 4
-2
87.
–3x ≥ 18 or 4x + 7 ≥ 15
88. Simplify each expression. (8.1, 8.3, 9.2)
a) 3x • 5y
c)
8a 2 b 2
20a 3b
nd
MA27 Algebra • 2 Semester Exam Review
MPS/Rev. Spring 2010
b) (4x2)3
d)
225
16
Please show all work, as modeled in class.
(Chapter in McDougal Littell Algebra I)
Solve each equation. Write your answer in simplest radical form for Questions 89–90.
(9.1, 9.6)
89. x2 = 18
90. x2 + 7x + 10 = 0
91. At Chandler Bike Shop, the following choices are available for bikes:
Bike: 2 speed, 3 speed, 10 speed
Colors: blue, red, black, silver, gold, green
How many different outcomes are there for choosing a bike?
a) 18
b) 15
c) 12
d) 24
Simplify the expression if possible for Questions 92–94. (11.4)
92.
12x
48
93.
6x
x + 5x
94.
4 x - 12
3x 2 - 9 x
2
nd
MA27 Algebra • 2 Semester Exam Review
MPS/Rev. Spring 2010
17
Please show all work, as modeled in class.
(Chapter in McDougal Littell Algebra I)
95. Graph to determine the solution to the system of linear equation. (7.1)
3x – y = –2
x – 3y = 2
Simplify the expression for Questions 96–98. (12.2)
96. 5 7 + 8 7
97. 3 3 - 2 12
98.
5 (4 2 - 5 )
Solve each equation for Questions 99–100. (12.3)
99.
100.
x =9
x - 16 = 0
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MA27 Algebra • 2 Semester Exam Review
MPS/Rev. Spring 2010
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