pre-algebra 2nd semester final test bank - mrs....
TRANSCRIPT
Name: ____________________________________________ Date: _____________________ Period: _______
1
Pre-Algebra 2nd Semester Final Test Bank
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Simplify the expression.
____ 1. !8.6! "0
a. –1 b. 0 c. –8.6 d. 1
____ 2. !(6)!1
a. 6 b. !1
!16
c.1
6d. !
1
6
____ 3. (4)!2
a. !1
16b. 16 c.
1
16d. –8
____ 4. 7a!5
b3
a. 7ab!15
b.b
3
7a5
c.7b
3
a5
d. 7a5b!3
____ 5. 12
c!8
d2
a.12
cd!6
b.96c
d2
c.12
c8d
2d.
12c8
d2
____ 6. 20 " 5!2
a. 25 b. –500 c.4
5d. –200
____ 7. 5!3
" 70
a.1
125b. –15 c. 0 d. 125
____ 8. 12!3
" 1210
" 120
a. 367
b. 17287
c. 1 d. 127
____ 9. (7.46)!5
" (7.46)6
a. 1 b. 11 c. –7.4611 d. 7.46
____ 10. 2k8" 3k
3
a. 5k24
b. 5k11
c. 6k11
d. 6k24
2
____ 11. 7x!8"6x
3
a.42
x5
b.1
42x5
c. 42x11
d. 13x!5
____ 12. a5" 3b
9" 6a
a. 18a6b
9b. 10a
6b
9c. 18ab
15d. 18a
45b
9
____ 13. !4x3" 2y
!2" 5y
5" x
!8
a. !x
2
40y3
b. !40y
3
x5
c. !2x
5
5y3
d. !5y
3
2x
____ 14. 6 " 6t ! 2
"6t
a. 182t ! 2
b. 2162t ! 1
c. 62t ! 1
d. 62t ! 2
____ 15. (k2)
4
a. k6
b. 2k8
c. k16
d. k8
____ 16. (t!2
)6
a. t12
b.x
12c.
1
t12
d.1
t64
____ 17. (x9)
0(x
7)
2
a. x18
b. 1 c. x14
d. x126
____ 18. (!h4)
5
a. !h9
b. h1
c. h20
d. !h20
____ 19. (5k2)
3
a. 125k6
b. 125k5
c. 5k6
d. 5k8
____ 20. (3xy3)
2(xy)
6
a. 9x8y
12b. 3x
8y
12c. 2x
3y
12d. 9x
8y
9
____ 21. (!5g5h
6)
2(g
4h
2)
4
a. 25g26h
20b.
g26h
20
25c. !25g
26h
20d. 25g
15h
14
____ 22. 3
7
35
a. 335
b. 312
c.1
39
d. 9
3
____ 23. x
14
x7
a. x7
b. x98
c.1
x7
d. x21
____ 24. x
5
x9
a.1
x14
b. x4
c. x14
d.1
x4
____ 25. 9
7
99
a.1
81b. 9
16c.
1
916
d. 81
____ 26. m
!6n!3
m!13n!1
a.n!9
n!14
b. m3n
12c.
m7
n2
d. m7n
2
____ 27. 3x
2
!
"
#####
$
%
&&&&&
4
a.81x
4
16b. 6x
4c.
12x4
8d.
81x4
2
____ 28. 7
10
!
"
#####
$
%
&&&&&
3
a.343
1000b.
21
30c.
100
7d.
1000
343
____ 29. m
!1m
5
m!2
!
"
#######
$
%
&&&&&&&
!3
a. !3m
4
m!2
b.1
m18
c. m18
d. !m216
____ 30. (!1)
5
(!2)!3
!
"
#########
$
%
&&&&&&&&&
2
a.1
64b. 64 c. 2
30d. 2
!30
4
____ 31. 7
13+
16
13!
8
13
a. 25
13b. !1
2
13c. 1
2
13d. !1
4
13
____ 32. 1
4+
5
6+
3
8
a. 111
24b. 1
5
24c.
1
2d. 3
3
4
____ 33. 2
3+
1
11
a.1
11b.
25
33c. 2 d.
3
14
____ 34. !17
9!
14
8
a. !31
72b. !3
23
36c. !1
14
17d. 238
____ 35. 3
7!
4
m
a.3m ! 28
7mb. !
1
7mc. !
25
7md. !
25
7
____ 36. 81
2+ 4
1
2
a. 121
2b. 12
1
4c. 13 d. 14
____ 37. 131
3! 7
7
9
a. 55
9b. 6
8
27c. 6
2
3d. 7
____ 38. 47
8+ !9
1
2
!
"
#######
$
%
&&&&&&&
a. !45
8b. 14 c. !4
1
5d. !4
1
2
____ 39. 51
3+ !3
9
18
!
"
#######
$
%
&&&&&&&
a. 15
6b. 2
8
15c. 3
8
13d. 8
5
6
5
____ 40. k3d
5!"###
$%&&&
5
a. k8d
10b. kd
40c. kd
13d. k
15d
25
____ 41. 2n4h
3!"###
$%&&&
4
a. 2nh28
b. 2nh11
c. 16n8h
7d. 16n
16h
12
____ 42. !5p4z
6u
!"###
$%&&&
3
a. !125p12z
18u
3c. !125p
7z
9u
3
b. !15p12z
18u
3d. !75p
12z
18u
3
____ 43. 2
9
!
"
#######
$
%
&&&&&&&
3
a.8
729b.
6
9c.
2
729d.
8
9
____ 44. !2q
4
7
!
"
#########
$
%
&&&&&&&&&
4
a.16q
8
2, 401b. !
16q16
2, 401c.
16q16
2, 401d.
2q16
7
____ 45. 7
24!
15
90
a. !8
66b. !
4
33c. !
1
8d.
1
8
____ 46. 2
4!
6
8
a. !1
4b. 1
2
3c. 7 d. 1
1
4
____ 47. Evaluate 9x2y!2
for x = –3 and y = 2.
a. 324 b. 201
4c. 9 !6' (
0d.
1
144
____ 48. Evaluate 1
2!2x!3y
5 for x = 2 and y = –4.
a. 16 b. –4 c. !1
32d. –16
6
____ 49. Write 4 ! 10"3
as a decimal.
a. 0.4 b. 0.004 c. –120 d. 4,000
Write the number in scientific notation.
____ 50. 8,670,000,000
a. 0.867 # 1010
b. 86.7 # 1008
c. 8.67 # 109
d. 8.67 # 10
____ 51. 0.0805
a. 80.5 # 100"3
b. 8.05 # 10 c. 0.805 # 10"1
d. 8.05 # 10"2
Write the number in standard notation.
____ 52. 9 # 104
a. 9,000 b. 904
c. 90,000 d. 360
____ 53. 9.07# 10"2
a. 0.0907 b. 0.907 c. 0.00907 d. –181.4
____ 54. Which list shows the numbers in order from least to greatest?
a. 5.4 # 104, 5.4# 10
3, 4.5 # 10
4c. 5.4 # 10
3, 5.4# 10
4, 4.5 # 10
4
b. 5.4 # 103, 4.5# 10
4, 5.4 # 10
4d. 4.5 # 10
4, 5.4# 10
3, 5.4 # 10
4
Simplify the expression. Write the answer using scientific notation.
____ 55. 8 8.8# 1012!
"###
$
%&&&
a. 70.4# 1012
b. 70.4# 1024
c. 7.04# 1013
d. 1.68# 1013
____ 56. 0.6 6.5# 10"5!
"###
$
%&&&
a. 3.9# 10"6
b. 3.9# 10"5
c. 3.9# 10"4
d. 7.1# 10"5
____ 57. 9# 107!
"###
$
%&&& 7 # 109!
"###
$
%&&&
a. 6.3# 1064
b. 6.3# 1017
c. 1.6# 1064
d. 1.6# 1017
____ 58. 0.4 # 10"6!
"###
$
%&&& 0.7# 10"2!
"###
$
%&&&
a. 2.8# 10"9
b. 2.8# 10"8
c. 2.8# 10"7
d. 0.28# 10"9
____ 59. (4 # 108)"2
a. 6.25 # 10"17
b. 6.25 # 10"18
c. 0.0625 # 10"16
d. "8 # 10"16
7
Find the least common multiple.
____ 60. 5 and 2
a. 7 b. 10 c. 2 d. 20
____ 61. 55 and 50
a. 55 b. 105 c. 550 d. 2750
____ 62. 120, 25, and 9
a. 360 b. 600 c. 27,000 d. 1,800
____ 63. 10x and 45x4
a. 90x4
b. 450x4 c. 90x5 d. 5x
____ 64. 2b2
and 12c3
a. 24bc b. 2bc c. 12b2c
3d. 24b
2c
3
____ 65. 3x2, 12y , and 10x
3y
3
a. 60x3y
3b. 60x
5y
4c. 25x
5y
4d. 360x
3y
3
Use a number line to compare the fractions. Use <, >, or =.
____ 66. !6
7!
1
7
a. !6
7 < !
1
7b. !
6
7 > !
1
7c. !
6
7 = !
1
7
____ 67. 1
6
5
6
a.1
6 <
5
6b.
1
6 =
5
6c.
1
6 >
5
6
Compare the fractions.
____ 68. 4
7
1
6
a.4
7 >
1
6c.
4
7 <
1
6
b.4
7 =
1
6d. cannot be compared
8
____ 69. !3
8!
11
17
a. !3
8= !
11
17c. !
3
8< !
11
17
b. !3
8> !
11
17d. cannot be compared
____ 70. 2
130.2
a. < c. >
b. = d. cannot be compared
Write as a decimal.
____ 71. 19
20
a. 0.95 b. 0.38 c. 0.19 d. 0.01
____ 72. 11
50
a. 0.04 b. 1.02 c. 1.49 d. 1.01
____ 73. 25
16
a. 0.23125 b. 0.3125 c. 2.3 d. 2.3125
Write the fraction as a decimal. State whether the decimal is terminating or repeating.
____ 74. 2
8
a. 0.25; terminating c. 0.2 5 ; repeating
b. 0.2; terminating d. 0.2 ; repeating
____ 75. 3
4
a. 0.75; terminating c. 0.3; terminating
b. 0.83 ; repeating d. 0.3 ; repeating
Write the decimal as a fraction or a mixed number in simplest form.
____ 76. 2.5
a.1
2b. 2
1
2c. 2
1
5d.
1
5
9
____ 77. 1.48
a.12
25b.
37
250c. 1
12
25d. 1
48
100
____ 78. 5.76
a.1
76b. 5
1
76c.
19
25d. 5
19
25
____ 79. 0.125
a. 8 b.125
1, 000c.
1
8d.
2
11
____ 80. 3.4
a.4
9b. 3
4
9c. 3
2
5d. 3
4
11
____ 81. 1.75
a. 11
75b. 1
25
33c.
25
33d. 1
3
4
Find the sum or difference. Simplify if possible.
____ 82. 4
12+
9
12
a.1
4b.
13
144c.
13
24d. 1
1
12
____ 83. 11
w!
5
w
a.6
wb.
16
w2c.
8
wd.
16
w
Find the product. Simplify if possible.
____ 84. 6
12"
7
9
!
"
#######
$
%
&&&&&&&
a.13
21b.
13
108c. 1
5
18d.
7
18
____ 85. !5
9"
6
8
!
"
#######
$
%
&&&&&&&
a. !5
12b.
7
36c.
1
17d.
1
72
10
____ 86. !4
7" !
3
4
!
"
#######
$
%
&&&&&&&
a.7
11b. !
1
4c.
3
7d. !1
9
28
____ 87. 12y
13"
11
24
a.11y
26b.
11
26c.
11y
15d.
13y
15
____ 88. !1
3" 8
1
7
!
"
#######
$
%
&&&&&&&
a. !25
7b. !
3
8c. !
1
21d.
1
3
____ 89. !13
7 " !3
2
3
!
"
#####
$
%
&&&&&
a. 32
7b. !5
5
21c. 11 d. 5
5
21
____ 90. 4
2a"a
11
a.2a
11b.
2
11ac.
2
11d.
5
13
Find the quotient. Simplify if possible.
____ 91. 2
9÷ !
3
27
!
"
#######
$
%
&&&&&&&
a. !2 b. !2
81c.
2
81d. 2
____ 92. !6
10÷ !
5
7
!
"
#######
$
%
&&&&&&&
a. !13
50b.
21
25c.
3
7d. !2
____ 93. q
7÷q
26
a.7
26b.
26
7c.
q 2
182d.
26q 2
7
11
____ 94. 22
3 ÷
1
4
a. 42
3b. 9
2
3c. 10
2
3d.
2
3
____ 95. 22
3 ÷ 1
1
11
a. 210
11b.
11
32c. 2
4
9d.
9
22
Solve.
____ 96. w +1
5=
7
8
a. 13
40b.
6
13c.
27
40d.
3
20
____ 97. b +2
9= 1
3
5
a. 117
45b.
3
7c. 1
37
45d.
2
15
____ 98. h +3
8= !
1
4
a. !1
3b.
1
8c. !
5
8d. !
1
8
____ 99. p !1
2=
2
3
a.3
5b. 1
1
6c.
1
6d.
1
2
____ 100. q +6
5= !
7
9
a. !144
45b. !
13
45c.
19
45d. !
13
14
____ 101. 153
4= T + 4
5
8
a. 112
3b. 19
1
2c. 11
1
4d. 11
1
8
____ 102. p + 72
4= 4
1
2
a. !25
8b. !3 c. !2
1
2d. 11
1
2
12
____ 103. 6a =5
7
a.5
13b.
30
7c.
5
42d.
11
7
____ 104. 3
7h = 9
a. 36
7b. 9
3
7c. 8
4
7d. 21
____ 105. 2
7a =
8
5
a.16
35b. 1
1
2c. 5
3
28d. 5
3
5
____ 106. !2
6p =
3
5
a. !14
5b. !
3
10c. 2
4
5d. !
1
5
____ 107. 33
5t = !4
1
2
a. !21
22b. !1
1
4c. !
4
5d. 1
1
4
____ 108. 4
5x ! 3
3
4x = 2
1
2
a. !19
50b. !
50
59c.
34
75d. 1
9
50
____ 109. Grace and Jamal each bought notebooks for school. Grace bought 3 notebooks for $3.90 while Jamal bought 2
notebooks for $2.20. What was the unit price of each student’s notebooks?
a. Grace: $3.90; Jamal: $2.20 c. Grace: $1.10; Jamal: $1.30
b. Grace: $1.30; Jamal: $1.10 d. Grace: $3.00; Jamal: $2.00
Solve the proportion.
____ 110. 4
21=
x
168
a. 882 b. 8 c. 84 d. 32
____ 111. 10
a=
15
30
a. 2 b. 5 c. 10 d. 20
13
____ 112. b
10.5=
157.5
52.5
a. 787.5 b. 320.5 c. 31.5 d. 3.5
____ 113. One hundred nautical miles equals about 185 kilometers. To the nearest kilometer, how far in kilometers is 290
nautical miles?
a. 537 km b. 157 km c. 185 km d. 53,650 km
____ 114. Write a proportion that can be used to find the cost of 10 notebooks if 3 notebooks cost $1.98.
a.3
10=
n
$1.98c.
10
3=
$1.98
n
b.10
$1.98=
n
3d.
3
$1.98=
10
n
____ 115. At the school store, 6 pencils sell for $.99. At this rate, what is the cost of 16 pencils?
a. $2.64 b. $3.79 c. $2.98 d. $1.65
____ 116. Carpet Masters charges $9.50 per square yard to clean a carpet. If you have two rooms with an area of six
square yards each, how much will it cost to have the carpets cleaned?
a. $3.17 b. $114 c. $228 d. $342
____ 117. Parallelogram PARL ! parallelogram WXYZ. Find the value of c.
a. 45 b. 21 c. 3 d. 22
____ 118. The triangles are similar. Find the value of a.
a. 12 b. 6 c. 10 d. 16
____ 119. A building 50 ft high casts a 75-ft shadow. Sarah casts a 6-ft shadow. The triangle formed by the building and
its shadow is similar to the triangle formed by Sarah and her shadow. How tall is Sarah?
a. 4 ft b. 5 ft c. 3 ft d. not here
14
____ 120. The scale on a map is 1 cm : 6 km. If two cities are 13 cm apart on the map, what is the actual distance
between the cities?
a. 13 km b. 468 km c. 2.17 km d. 78 km
____ 121. A map shows the distance between the corner of Cactus Road and 1st Street and the corner of 1st Street and
Merle Road as 3 inches. If the scale is 1 in. : 3.7 mi, what is the actual distance?
a. 1.3 mi b. 11.1 mi c. 111 mi d. 22.2 mi
____ 122. Find 78% of 380. Round to the nearest tenth if necessary.
a. 3.8 b. 29,640.0 c. 296.4 d. 487.2
____ 123. What percent of 67 is 33? If necessary, round to the nearest tenth of a percent.
a. 203.0% b. 0.5% c. 49.3% d. 33.0%
____ 124. Emma has already read 6 of 20 books on her summer reading list. What percent of the books on her list has she
read already?
a. 23.1% b. 30.0% c. 333.3% d. 0.3%
____ 125. Two U.S. states are not part of the continental United States. What percent of the fifty U.S. states are included
in the continental United States?
a. 2% b. 13% c. 48% d. 96%
____ 126. 20 is 50% of what number? If necessary, round to the nearest tenth.
a. 10.0 b. 1000.0 c. 40.0 d. 0.4
____ 127. The Mogul Runners ski club planned a trip to Park City. Of the total number of club members, 11 signed up to
go. If this is 25% of the club, how many members does the ski club have?
a. 22 members b. 3 members c. 275 members d. 44 members
____ 128. Martha paid $42.40 for her sister’s birthday present. This included 6% sales tax. What was the cost of the gift
before tax?
a. $40.00 b. $44.94 c. $25.44 d. $2.40
Write the percent as a fraction or mixed number in simplest form.
____ 129. 35%
a.13
20b. 6
1
2c.
7
20d. 3
1
2
____ 130. 155%
a. 41
2b. 15
1
2c. 1
11
20d.
9
20
____ 131. Write 88.2% as a decimal.
a. 8.82 b. 882 c. 0.882 d. 8,820
____ 132. At the Mega Theater, 80% of the movies this weekend are comedies. As a fraction in simplest form, what
fraction of the movies are comedies?
a.4
5b.
1
5c.
5
4d. not here
15
Write the decimal as a percent.
____ 133. 0.798
a. 0.0798% b. 79.8% c. 7.98% d. 798%
____ 134. 1.513
a. 151.3% b. 1,513% c. 0.1513% d. 15.13%
Write the fraction as a percent. Round to the nearest tenth of a percent if necessary.
____ 135. 17
40
a. 0.425% b. 4.25% c. 42.5% d. 235.3%
____ 136. 1
7
a. 14.3% b. 7% c. 1% d. 1.43%
Write an equation and solve. Round to the nearest hundredth where necessary.
____ 137. What is 35% of 63?
a. n ! 0.35 = 63; 180 c. n = 35 ! 63; 2,205
b. n = 35 ! 0.63; 22.05 d. n = 0.35 ! 63; 22.05
____ 138. 19 is what percent of 40?
a. 19 = n ! 40; 47.5% c. 40 = 19 ! n; 40.4%
b. 40 = 19 ! n; 2.1% d. 19 = n ! 40; 52.3%
____ 139. 64 is 80% of what?
a. 64 ! n = 80; 0.8 c. 64 = 0.80 ! n; 80
b. 0.64 ! n = 80; 125 d. 80 = 64 ! n; 1.3
____ 140. What percent of 24 is 30?
a. n ! 24 = 30; 125% c. n = 30 ! 24; 720%
b. n ! 30 = 24; 80% d. n = 30 ! 0.24; 720%
____ 141. 21 is 35% of what number?
a. 21 = 0.35 ! x; 62.4 c. 0.35 = 21 ! x; 40.8
b. x = 21 ! 0.35; 7.4 d. 21 = 0.35 ! x; 60
____ 142. Tamika makes a 5.5% commission selling electronics. How much commission does she make if she sells a
flat-screen TV for $10,000?
a. $9,450 b. $550 c. $55,000 d. $1,818.18
____ 143. In a survey, 480 people, or 75%, said they attended a movie at least once a month. How many people were
surveyed?
a. 405 people b. 360 people c. 555 people d. 640 people
16
____ 144. Find the percent of increase from 320 to 380. Round to the nearest tenth of a percent if necessary.
a. 18.8% b. 84.2% c. 15.8% d. 0.2%
____ 145. The sales of a particular brand of children’s athletic shoes rose from $6,900,000 to $7,400,000. Find the
percent of increase in sales. Round to the nearest tenth of a percent if necessary.
a. 6.8% b. 0.1% c. 93.2% d. 7.2%
____ 146. Find the percent of decrease from 280 to 210. Round to the nearest tenth of a percent if necessary.
a. 25% b. 0.3% c. 33.3% d. 133.3%
____ 147. The circulation of a newsletter decreased from 3,200 to 2,464. What was the percent of decrease in circulation?
a. 129% b. 77% c. 2.3% d. 23%
____ 148. Wren bought a baseball card last year for $2.25. This year the price dropped to $.45. What was the percent of
decrease in the price of the card?
a. 80% b. 500% c. 120% d. 400%
____ 149. A toy store’s percent of markup is 35%. A model train costs the store $100. Find the markup.
a. $135 b. $35 c. $285.71 d. $65
____ 150. A sporting goods store pays $180 for a rubber raft. The percent of markup is 40%. Find the raft’s selling price.
a. $72 b. $108 c. $252 d. $450
____ 151. All swimming equipment is on sale with a 35% discount. A snorkeling set regularly sells for $60. Find the
discount.
a. $44.44 b. $39 c. $81 d. $21
____ 152. Video games are on sale for 35% off. If a particular game regularly sells for $99.50, what is the sale price?
a. $34.83 b. $96.02 c. $64.68 d. $134.33
____ 153. A construction company has a project that will take 1000 person-days to complete. How many days will it take
to complete the project if the company has 50 workers?
a. 20 c. 80
b. 50 d. 30
____ 154. One worker can pack 140 boxes in 7 hours. A second worker can pack 20% more boxes in 10 hours. Which
worker packs more boxes per hour?
a. worker 1 b. worker 2
____ 155. Estimate a 15% tip on a $21.90 bill.
a. $3.30 c. $1.60
b. $6.60 d. $25.20
Simplify the square root.
____ 156. 16
a. 16 b. 0.4 c. 40 d. 4
____ 157. – 25
a. –0.5 b. 5 c. –5 d. –25
17
Estimate the square root to the nearest integer.
____ 158. 25
a. 6 b. 5 c. 7 d. 4
____ 159. – 11
a. –4 b. –5 c. –2 d. –3
____ 160. Find two integers that make the equation y2=25 true.
a. 5, –5 b. 5, 0.5 c. ! 5, 5 d. 5, 25
____ 161. Which of these sets of numbers contains no irrational numbers?
a. ! 5, ! 196, –8.15 c. !2,3
8, 10, !0.6868…
b. ! 144, 49, 6.6 d. !1,5
6, 11
____ 162. Which of these sets of numbers contains no rational numbers?
a. !3.5041. . . , 99, 0.143635. . . c. –6, ! 225, 47
8
b. ",1
2, –13 d. 21, 0.75, 0
____ 163. Which number is rational?
a. 98 b. 150 c. 164 d. 121
____ 164. Which number is irrational?
a. 81 b. 169 c. 156 d. 144
In the given right triangle, find the missing length.
____ 165.
a. 28 m b. 26 m c. 25 m d. 27 m
18
____ 166.
a. 10 m b. 14 m c. 21 m d. 28 m
In the given right triangle, find the missing length to the nearest tenth.
____ 167.
a. 20.2 ft b. 7.5 ft c. 11.7 ft d. 17.3 ft
____ 168.
a. 3.7 ft b. 15.7 ft c. 5.9 ft d. 12.1 ft
19
____ 169. Two flag poles in front of the Court House are 12 ft tall. The distance from the top of one pole to the base of
the other as shown in the diagram is 20 ft. What is the distance between the two flag poles?
a. 16 ft b. 23 ft c. 18 ft d. 15 ft
The lengths of two sides of a right triangle are given. Find the length of the third side. Round to the
nearest tenth if necessary.
____ 170. legs: 28 in. and 15 in.
a. 37.5 in. b. 23.6 in. c. 29.6 in. d. 31.8 in.
____ 171. leg: 20 m; hypotenuse: 25 m
a. 10.5 m b. 8.9 m c. 32 m d. 15 m
____ 172. Which of the following could NOT be the lengths of the sides of a right triangle?
a. 9 ft, 12 ft, 15 ft c. 4 cm, 7.5 cm, 8.5 cm
b. 5 in., 10 in., 15 in. d. 1.5 m, 2 m, 2.5 m
20
Write a proportion and find the value of x in the diagram. Round to the nearest tenth if necessary.
____ 173. !XYM " !PZM
Not drawn to scale
a.10
x + 10=
6
12; 10 c.
x
10=
6
12; 5
b.x
10=
6
12; 18.3 d.
10
x + 10=
6
12; 18.3
____ 174. !FAB " !CDB
a.x
29=
11
36; 8.9 c.
x
36=
11
29; 13.7
b.x
11=
29
36; 13.7 d.
x
36=
11
29; 8.9
____ 175. Find the mean, median, mode, and range of this data: 49, 49, 54, 55, 52, 49, 55. If necessary, round to the
nearest tenth.
a. 51.9, 52, 49, 6 b. 52.9, 52, 49, 104 c. 51.9, 53, 49, 6 d. 52, 52.9, 49, 104
21
____ 176. The number of patients treated at Dr. Artin’s dentist office each day was recorded for nine days. These are the
data: 6, 6, 6, 5, 5, 6, 5, 6, 5. Find the mean, median, mode, and range of the data. If necessary, round to the
nearest tenth.
a. 6, 4.6, 6, 1 b. 5.6, 6, 6, 11 c. 4.6, 6, 6, 11 d. 5.6, 6, 6, 1
How many modes, if any, does the group of data have?
____ 177. Kate, Tim, John, John, Angela, Tim, Sue
a. 1 mode b. 2 modes c. 3 modes d. no mode
____ 178. 20, 5, 22, 2, 20, 2, 2, 22
a. 3 modes b. 2 modes c. no mode d. 1 mode
____ 179. For which set of data is the mean 8.1?
a. 6.6, 7.5, 8.1, 9.2, 9.8 c. 4.2, 6.7, 8.1, 5.5, 9.1
b. 8.1, 8.1, 8.7, 8.8, 9.9 d. 8.5, 8.0, 8.0, 9.0, 7.0
____ 180. For which set of data is the median 15?
a. 89, 75, 90, 15, 74, 88, 89 c. 14, 15, 15, 15, 18, 18, 19, 19, 20
b. 23, 35, 77, 81, 64, 15, 44 d. 8, 20, 17, 21, 14, 15, 9
____ 181. For which set of data is the mode 3?
a. 6, 2, 7, 6, 6, 6, 3, 1, 3, 9, 3 c. 3, 12, 8, 5, 1, 4, 11, 13, 11, 2
b. 5, 7, 3, 8, 4, 3, 5, 6, 1, 3, 6 d. 0, 1, 1, 2, 2, 3, 6, 8, 8, 9, 9
____ 182. Which pair of numbers, when included with 6, 8, 10, 14, and 18, will raise the value of BOTH the mean and
median?
a. 14 and 15 b. 1 and 10 c. 7 and 15 d. 8 and 14
____ 183. A teacher allows her students to decide whether to use the mean, median, or mode to determine their test
averages. One student determined that he will receive the highest average if he uses the mean. Which test scores
are his?
a. 92, 83, 76, 76, 93 c. 81, 85, 70, 72, 85
b. 81, 85, 73, 82, 76 d. 72, 83, 95, 70, 85
____ 184. Which set of data has a mean of 6 and a mode of 5?
a. 5, 12, 1, 5, 7 b. 3, 8, 5, 9, 10 c. 2, 11, 5, 9, 3 d. 10, 7, 5, 8, 5
22
____ 185. The table shows the number of tractors per 1,000 people in selected countries. Find the mean, median, and
mode of the data.
Country Number
Ireland 47
Norway 41
Denmark 40
Canada 35
France 30
Sweden 27
Germany 27
Japan 25
Italy 23
United States 22
Spain 18
Switzerland 17
United Kingdom 10
a. 27.8, 26, 27 b. 27.8, 27, 27 c. 30.2, 27, 27 d. 25.9, 26.5, 27
____ 186. What is the best measure of central tendency for the data? What answer do you get using this measure?
Jessica Jennifer Janice Janine Jessica Jolene Jana
a. mode; Jessica c. mean; Jessica
b. median; Jana d. mode; Janice
____ 187. Find the outlier in the data: 32, 40, 34, 31, 20, 36, 40, 31. How does the outlier affect the mean?
a. 45; raises it by 1.7. c. 45; lowers it by 1.7.
b. 20; lowers it by 1.9. d. 20; raises it by 1.9.
____ 188. Which measure of central tendency best describes this situation: the favorite fruit sold in the cafeteria? Explain.
a. Median; there likely are no outliers.
b. Mean; there likely are no outliers.
c. Median; there likely are outliers.
d. Mode; the data are not numerical.
____ 189. The table shows golf scores for each player in an amateur golf tournament. What is the mean golf score for
Rob, Jo Ann, Hector, and Ed for games 2 and 4?
Player Game 1 Game 2 Game 3 Game 4
Rob 94 105 106 106
Jo Ann 95 94 101 92
Ed 107 100 100 101
Hector 106 96 100 97
a. 99 b. 101 c. 100 d. 98
23
____ 190. A number cube was rolled 18 times. The results are shown. Display the data in a frequency table.
2 6 4 5 6 3 1 4 1
4 2 3 5 6 6 2 1 4
a.
Number Frequency
1 3
2 3
3 2
4 4
5 2
6 4
c.
Number Frequency
1 3
2 3
3 1
4 4
5 3
6 4
b.
Number Frequency
1 3
2 2
3 3
4 4
5 2
6 4
d.
Number Frequency
1 2
2 2
3 3
4 4
5 3
6 4
____ 191. Use the frequency table to determine how many students received a score of 60 or better on an English exam.
Score Frequency
50–59 1
60–69 8
70–79 3
80–89 7
90–100 4
a. 8 students b. 9 students c. 14 students d. 22 students
24
____ 192. Draw a line plot for the frequency table.
Number 1 2 3 4 5 6
Frequency 4 5 3 2 2 6
a. c.
b. d.
____ 193. Find the range of the data.
Scores: 90, 89, 87, 79, 89, 84, 80, 85, 85, 79
a. 11 b. 7 c. 12 d. 15
25
____ 194. Display the set of data in a frequency table and a line plot.
90 92 93 91 92 92 94 96
26
a.
Number Frequency
90 1
91 1
92 3
93 1
94 1
95 0
96 1
b.
Number Frequency
90 1
91 1
92 2
93 1
94 1
95 1
96 1
c.
Number Frequency
90 1
91 1
92 3
93 1
94 1
95 0
96 1
d.
Number Frequency
90 1
91 2
92 3
93 0
94 1
95 0
96 1
27
____ 195. The line plot shows on which day of the week you and your classmates were born. Which statement is NOT
true?
a. Two students were born on a Wednesday.
b. There are 15 students in your class.
c. More students were born on a Tuesday than on a Monday.
d. The range of the data is 5.
Draw the box-and-whisker plot for the data.
____ 196. 33, 50, 30, 45, 30, 41, 27, 34, 50, 49, 40, 40, 35, 25, 28
a. c.
b. d.
____ 197. 21 29 25 20 36 28 32 35 28 30 29 25 21 35 26 35 20 19
a.
b.
c.
d. none of these
28
Compare the data sets by making two box-and-whisker plots above one number line.
____ 198. Set X: 14, 11, 7, 1, 5, 4, 6, 13, 2, 12, 13, 4, 3, 14, 15, 15
Set Y: 10, 9, 7, 4, 11, 15, 15, 8, 6, 9, 4, 10, 7, 13, 4, 5
a.
b.
c.
d.
____ 199. Grades of Class A: 71, 78, 95, 68, 91, 95, 85, 76, 94, 77, 79, 95, 82, 93, 92, 70
Grades of Class B: 86, 98, 99, 64, 80, 89, 63, 95, 70, 69, 81, 77, 72, 87, 96, 79
a.
b.
c.
d.
29
____ 200. Describe the data in the box-and-whisker plot.
a. The lowest value is 58.5 and the highest value is 74. The median is 67. At least half of the
data are within 8.5 points of the median.
b. The values range from 50 to 83. At least half of the data are within 7 points of the median,
67.
c. The lowest value is 50 and the highest value is 83. The median is 67. At most half of the
data are within 7 points of the median.
d. The values range from 50 to 83. At least half of the data are within 8.5 points of the
median, 67.
____ 201. Use the two box-and-whisker plots to determine which statement is true.
a. They have the same median. c. The upper quartiles are equal.
b. They have the same range. d. The lower quartiles are equal.
The scatter plot shows the study times and test scores for a number of students.
____ 202. Describe the person represented by point A.
a. This person studied for 77 minutes and scored 45.
b. This person studied for 45 minutes and scored 77.
c. This person studied for 45 hours and scored 77.
d. This person studied for 77 hours and scored 45.
____ 203. How long did the person who scored 81 study?
a. 50 minutes b. 81 minutes c. 16 minutes d. 100 minutes
30
____ 204. Which table matches the scatter plot?
a.Study Time (min) 16 21 25 27 31 38 20 50
Test Score 62 67 85 71 68 71 77 81
b.Study Time (min) 16 21 25 27 31 38 45 50
Test Score 62 75 68 71 68 71 77 100
c.Study Time (min) 16 21 25 27 31 38 45 50
Test Score 62 67 68 71 68 71 77 81
d.Study Time (min) 62 67 68 71 68 71 77 81
Test Score 16 21 25 27 31 38 45 50
____ 205. The scatter plot shows the number of students per class at Monida Middle School and the number of magazine
subscriptions each class sold for a fund-raiser. About how many subscriptions did the class of 30 students sell?
a. about 185 subscriptions c. about 165 subscriptions
b. about 175 subscriptions d. about 195 subscriptions
31
____ 206. Use the table to make a scatter plot of the temperature and the number of ice cream cones sold at the school
cafeteria.
Temperature Number of Cones Sold
59 58
76 83
94 102
67 73
85 99
74 78
97 107
a. c.
b. d.
32
____ 207. The scatter plot shows the number of CDs that Disc–O CD factory produced in different months. What is the
best prediction for the month in which they will produce 5,500 CDs?
a. November b. September c. July d. May
____ 208. The scatter plot shows the average temperature each month in a particular city. What is a good prediction for
the temperature in July if the temperature continues to increase until then?
a. 72 b. 85 c. 98 d. 112
33
____ 209. Make a stem-and-leaf plot for the following set of data.
1.1, 1.3, 1.8, 2.2, 2.6, 2.8, 3.1, 3.8
a.
1 ! 1 = 1.1
c.
1 ! 0.1 = 1.01
b.
1 ! 1 = 1.1
d.
1 ! 8 = 1.8
ID: A
1
Pre-Algebra 2nd Semester Final Test Bank
Answer Section
MULTIPLE CHOICE
1. D
2. D
3. C
4. C
5. D
6. C
7. A
8. D
9. D
10. C
11. A
12. A
13. B
14. C
15. D
16. C
17. C
18. D
19. A
20. A
21. A
22. D
23. A
24. D
25. A
26. C
27. A
28. A
29. B
30. B
31. C
32. A
33. B
34. B
35. A
36. C
37. A
38. A
ID: A
2
39. A
40. D
41. D
42. A
43. A
44. C
45. D
46. A
47. B
48. C
49. B
50. C
51. D
52. C
53. A
54. B
55. C
56. B
57. B
58. A
59. B
60. B
61. C
62. D
63. A
64. C
65. A
66. A
67. A
68. A
69. B
70. A
71. A
72. B
73. D
74. A
75. A
76. B
77. C
78. D
79. C
80. B
81. B
82. D
ID: A
3
83. A
84. D
85. A
86. C
87. A
88. A
89. D
90. C
91. A
92. B
93. B
94. C
95. C
96. C
97. A
98. C
99. B
100. A
101. D
102. B
103. C
104. D
105. D
106. A
107. B
108. B
109. B
110. D
111. D
112. C
113. A
114. D
115. A
116. B
117. B
118. C
119. A
120. D
121. B
122. C
123. C
124. B
125. D
126. C
ID: A
4
127. D
128. A
129. C
130. C
131. C
132. A
133. B
134. A
135. C
136. A
137. D
138. A
139. C
140. A
141. D
142. B
143. D
144. A
145. D
146. A
147. D
148. A
149. B
150. C
151. D
152. C
153. A
154. A
155. A
156. D
157. C
158. B
159. D
160. A
161. B
162. A
163. D
164. C
165. B
166. A
167. A
168. D
169. A
170. D
ID: A
5
171. D
172. B
173. A
174. A
175. A
176. D
177. B
178. A
179. D
180. D
181. B
182. A
183. A
184. A
185. B
186. A
187. B
188. D
189. A
190. A
191. D
192. B
193. A
194. C
195. D
196. B
197. A
198. D
199. C
200. D
201. D
202. B
203. A
204. C
205. B
206. D
207. C
208. B
209. B