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Name: ________________________
Semester 1 Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Refer to Figure 1.
Figure 1
1. Name a line that contains point J.
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→
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a. DB b. GF c. n d. p
2. Name the plane containing lines m and p.
a. n b. GFC c. H d. JDB
3. What is another name for line n?
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→
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a. line JB b. DC c. GF d. AC
4. What is another name for line m?
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a. line JG b. JGB c. DB d. line JB
5. Name a line that contains point A.
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a. DC b. m c.
K
d. DB
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6. Name a point NOT contained in AD or FG .
a. K b. A c. H d. D
7. Which is these is NOT a way to refer to line BD?
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a. JB b. m c. JDB d. line JD
1
Name: ________________________
ID: A
Use the figure below to answer each question.
8. Which of the following lines does NOT lie in plane T?
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→
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a. line l b. AD c. AC d. BC
Use the figure below to answer each question.
9. Which of the following lines does NOT lie in plane Z?
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a. line k b. QR c. PS d. RT
10. Which of the following sets of points does NOT uniquely determine plane Z?
a. points P, R, and S b. points R, S, and T c. points P, R, and T d. points Q, R, and S
2 A
Name: ________________________
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ID: A
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In the figure, KJ and KL are opposite rays. ∠1 ≅ ∠2 and KM bisects ∠NKL.
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11. Which is NOT true about KM ?
a. ∠MKJ is acute. b. ∠3 ≅ ∠MKL c. Point M lies in the interior of ∠LKN . d. It is an angle bisector.
Use the number line to answer each question.
12. Which segment does NOT have point J as its midpoint?
a. IK b. HN c. HL d. GM
Use the number line to answer each question.
13. Which segment does NOT have point S as its midpoint?
a. RT b. QU c. RU d. PV
Determine whether the given measures can be the lengths of the sides of a triangle. Write yes or no. Explain.
14. 6, 7, 14
a. No; the first side is not long enough. b. No; the sum of the lengths of two sides is not greater than the third.
c. Yes; the third side is the longest. d. Yes; the sum of the lengths of any two sides is greater than the third.
15. 9.5, 11.5, 24.1
a. No; the sum of the lengths of two sides is not greater than the third.
b. Yes; the sum of the lengths of any two sides is greater than the third. c. Yes; the third side is the longest.
d. No; the first side is not long enough.
3 A
Name: ________________________
ID: A
16. Find the area of the shaded region of the following figure. Use 3.14 for π and round your answer to the nearest
tenth.
a. 7.7 m2 b. 26.6 m2 c. 64.3 m2 d. 5.9 m2
Short Answer
Name the set using roster notation.
17. even natural numbers less than or equal to 10
18. odd natural numbers less than or equal to 10
19. even natural numbers less than 5
20. even integers
21. odd positive integers
22. What are all the subsets of {a, b}?
23. How many subsets does this set have: {a, b, c, d, e}?
Name the sets of numbers to which the given number belongs: Naturals (N), wholes (W), integers (Z), rationals
(Q), reals (R), and/or irrationals (I).
24.
28
83
Graph the set of numbers.
25. {. . ., –9, –7, –4, –2, 0}
26. Let U = {c, o, m, b, i, n, e}, P = {c, o, m, b}, Q = {b, i, n}, and R = {n, e}.
Find P ∩ Q.
27. Let U = {1, 2, 3, 4, 5, 6, 7}, X = {1, 2, 3, 4}, Y = {2, 3, 5, 6}, and Z = {3, 4, 6, 7}.
Find X ∩ Z.
4 A
Name: ________________________
ID: A
28. Refer to the Venn diagram.
Find H ′.
Find the difference.
1
29. − 4 –
9
30. − 10 –
5
7
13
14
31. 50.16 – (–73.54)
Find the product.
32. 1(4)
ä 1 ôä 1 ô
33. ååå −1 2 õõõ ååå 1 4 õõõ
æ
öæ ö
Find the next three terms in the sequence.
34. 3, 5, 9, 15, 23, . . .
35. 12, 9, 13, 10, 14, 11, . . .
36. 4, 5, 4, 6, 4, 7, . . .
37. x + 5, 5x + 5, 10x + 5, 15x + 5, . . .
Write the relation as a set of ordered pairs. Give the domain and range.
38.
39. Given f(x) = 4x − 1 , find f(4) .
5 A
Name: ________________________
ID: A
Graph the equation.
40. y = 4x − 4
Solve the open sentence and graph the solution.
41. |s – 7| = 2
Solve the equation. Then check your solution.
42. x − 4 = 2
43. 119 = n − 66
44. −5.4 = −1.5 + h
45. −22 = −40 + r
46.
4
5
3
7
+x=
1
47. 1 4 = a +
3
8
48. 8 = 1.88 + a
49. 5p = 140
50.
1
2
5
k + 2 = 5 + 6k
4
51. − 5 w +
1
4
=
1
5
1
+ 3w
52. 6 = −2 &10n + 7'
53. −65.376 = 7.2 &9c + 1'
54. 3.7(−83x − 3) = 3.7(7x − 30)
Solve the given inequality. Describe the solution set using the set-builder or interval notation. Then, graph the
solution set on a number line.
55.
18 − p
≤1
2
56. 3 &11m + 6' ≤ 10
Solve the inequality. Graph the solution on a number line.
57. −2 ≥ w − 6
58. y + 5 > −2
6 A
Name: ________________________
ID: A
Solve the inequality.
59. −2f < 18
60. 3h + 9 > 15
61.
2x − 10 + 3x
< −5
4
62. 0.3(4j + 3) > 2.5 − (−0.7j − 6)
This list shows the number of years that 99 U.S. Supreme Court Justices served.
0
1
1
2
2
2
3
3
3
4
4
4
4
5
5
5
5
5
5
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63. Miguel is making a frequency table of this data. He decides to group the years in intervals of 5 beginning with
0 to 4, 5 to 9, 10 to 14 and so on. How many intervals will he need all together?
64. What number of years is the mode the Supreme Court justices served?
This list shows how many hours twenty batteries lasted when they ran continually in a flashlight.
78
58
46
22
31
60
63
13
47
10
65
47
51
30
10
64
16
40
93
93
65. What is the mean, median, and mode of the battery life data?
7 A
Name: ________________________
ID: A
Refer to Figure 1.
Figure 1
66. Name a point NOT contained in lines m, n, or p.
67. Name the intersection of lines m and n.
Use the figure below to answer each question.
68. Name three points that determine a third plane other than R and T.
8 A
Name: ________________________
ID: A
Use the figure below to answer each question.
69. Name two points that determine line k.
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In the figure, KJ and KL are opposite rays. ∠1 ≅ ∠2 and KM bisects ∠NKL.
70. If ∠JKN is a right angle and m∠4 = 2(3x + 6), what is x?
Use the number line to answer each question.
71. Name the midpoint of QW .
9 A
Name: ________________________
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ID: A
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In the figure below, SJ bisects ∠RST , SH bisects ∠RSJ , and SK bisects ∠JST .
72. Find m∠RST .
Use the properties of vertical angles to answer each question.
73. If m∠4 = 114°, find m∠2.
Use the properties of vertical angles to answer each question.
74. If m∠1 = 51°, find m∠4.
75. If m∠3 = 43°, find m∠6.
Write the converse of each statement.
76. If a figure is a square, then it has four sides.
10 A
Name: ________________________
ID: A
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77. In the figure, m∠RPZ = 95 and TU ~ RQ ~ VW . Find the measure of angle WSP.
78. Find the measure of angle ∠QRS .
79. Find the measure of ∠P .
Determine the relationship between the lengths of the given sides.
80. UL, RH
81. Find the measure of each exterior angle for a regular octagon. Round to the nearest tenth if necessary.
82. Find the measure of an exterior angle of a regular polygon with 5 sides. Round to the nearest tenth if necessary.
11 A
Name: ________________________
ID: A
83. For trapezoid JKLM, A and B are midpoints of the legs. Find ML.
Complete.
84. 11 ft = ____ in.
85. 6 m = ____ cm
Find each unit rate.
86. $3.00 for 150 golf tees
87. Find the perimeter of the figure.
Use the figure below to answer each question.
88. What is the name of this figure?
12 A
Name: ________________________
ID: A
Use the figure below to answer each question.
89. How many edges does the figure have?
90. Find the surface area of the square pyramid.
Find the area of the figure. Round to the nearest tenth if necessary.
91.
13 A
Name: ________________________
ID: A
92.
93.
Find the surface area of each prism. Round to the nearest tenth if necessary while doing your calculations as well
as in your final answer.
94.
95.
14 A
Name: ________________________
ID: A
96.
97. Find the volume of a sphere that has a radius of 9.5 meters. Use 3.14 for π. Round to the nearest tenth.
Find the volume of the cylinder. Use 3.14 for π. Round to the nearest tenth.
98.
15 A