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SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
1) Identify the numerator and the denominator. 74
1)
2) Write the fraction as a division problem and simplify, if possible. 51
2)
3) Write the fraction as a division problem and simplify, if possible. 99
3)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
4) Write the fraction as a division problem and simplify, if possible. 04
A) 4 ÷ 0; 0 B) 0 ÷ 4; 0C) 0 ÷ 4; undefined D) 4 ÷ 0; undefined
4)
5) Write the fraction as a division problem and simplify, if possible. 40
A) 4 ÷ 0; 0 B) 4 ÷ 0; undefinedC) 0 ÷ 4; undefined D) 0 ÷ 4; 0
5)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
6) Write a fraction that represents the shaded area. 6)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
7) Write a fraction that represents the shaded area.
A)53
B)12
C)35
D)25
7)
1
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SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
8) A class has 23 children, 8 girls and 15 boys. What fraction of the class is made upof boys?
8)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
9) Label the fraction as proper or improper. 49
A) proper B) improper
9)
10) Label the fraction as proper or improper. 66
A) proper B) improper
10)
11) Label the fraction as proper or improper. 116
A) proper B) improper
11)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
12) Write an improper fraction for the shaded portion of the group of figures. 12)
13) Write an improper fraction and a mixed number for the shaded portion of thegroup of figures.
13)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
14) Convert the mixed number to an improper fraction. 356
A)256
B)73
C)192
D)236
14)
2
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SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
15) Convert the mixed number to an improper fraction. 1659
15)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
16) Convert the improper fraction to a mixed number. 167
A) 227
B) 7 116
C) 218
D) 1617
16)
17) Convert the improper fraction to a mixed number. 439
A) 3679
B) 179
C)79
D) 479
17)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
18) Convert the improper fraction to a mixed number. 359
18)
19) Divide. Write the quotient as a mixed number. 10 737 19)
20) Divide. Write the quotient as a mixed number. 3191 ÷ 16 20)
21) Plot the fraction on the number line. 45
0 10 1
21)
3
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
22) Plot the fraction on the number line. 45
0 1 20 1 2A)
0 1 20 1 2
B)
0 1 20 1 2C)
0 1 20 1 2
D)
0 1 20 1 2
22)
23) Plot the fraction on the number line. 54
0 1 20 1 2A)
0 1 20 1 2
B)
0 1 20 1 2C)
0 1 20 1 2
D)
0 1 20 1 2
23)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
24) Find two different factorizations of 25. 24)
25) Find two factors whose product is 30 and whose sum is 13. 25)
26) Determine if the number 75 is divisible bya. 2 b. 3 c. 5 d. 10
26)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
27) Determine if the number is divisible by 2.87
A) no B) yes
27)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
28) Determine if the number 2475 is divisible bya. 2 b. 3 c. 5 d. 10
28)
4
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
29) A teacher has 34 students in her class. Can she distribute a package of 70 candies evenlyto her students?
A) no B) yes
29)
30) The number 31 is ____________ .A) primeB) compositeC) neither prime nor composite
30)
31) The number 1 is _____________.A) compositeB) primeC) neither prime nor composite
31)
32) The number 0 is _____________.A) neither prime nor compositeB) compositeC) prime
32)
33) True or false? 59 is a composite number.A) True B) False
33)
34) Determine whether or not the factorization 90 = 3 ∙ 3 ∙ 10 represents the primefactorization. If not, explain why.
A) No, 90 does not equal 3 ∙ 3 ∙ 10 B) No, 10 is not a prime number.C) No, 3 appears twice. D) Yes.
34)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
35) Find the prime factorization of 41. 35)
36) Find the prime factorization of 40. 36)
37) Find the prime factorization of 225. 37)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
38) List all of the factors of the number.9
A) 3, 9 B) 1, 3 C) 1, 3, 9 D) 1, 9
38)
5
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39) List all of the factors of the number.14
A) 1, 2, 14 B) 1, 14 C) 1, 2, 7, 14 D) 1, 2, 7
39)
40) List all of the factors of the number.37
A) 6, 37 B) 1, 6, 37 C) 37 D) 1, 37
40)
41) List all of the factors of the number.117
A) 3, 9, 13, 39 B) 1, 3, 9, 13, 39, 117C) 1, 3, 9, 13, 39 D) 1, 3, 13, 117
41)
42) List all of the factors of the number.83
A) 1, 9, 83 B) 9, 83 C) 1, 83 D) 83
42)
43) Shade the second figure so that it expresses a fraction equivalent to the first figure.
A) B)
C) D)
43)
44) True or false? The fractions 18
and 81
are equivalent.
A) True B) False
44)
45) Determine if the fractions are equivalent. Then fill in the blank with either = or ≠.34
1724
A) = B) ≠
45)
6
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46) Determine if the fractions are equivalent. Then fill in the blank with either = or ≠.17
7
49
A) ≠ B) =
46)
47) Determine if the fractions are equivalent. Then fill in the blank with either = or ≠.924
38
A) ≠ B) =
47)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
48) Simplify the fraction to lowest terms. Write the answer as a fraction or wholenumber.
549
48)
49) Simplify the fraction to lowest terms. Write the answer as a fraction or wholenumber.
981
49)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
50) Simplify the fraction to lowest terms. Write the answer as a fraction or whole number.1220
A)35
B)6
20C)
310
D)6
10
50)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
51) Simplify the fraction to lowest terms. Write the answer as a fraction or wholenumber.
4499
51)
52) Simplify the fraction to lowest terms. Write the answer as a fraction or wholenumber.
1616
52)
7
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53) Simplify the fraction to lowest terms. Write the answer as a fraction or wholenumber.
2114
53)
54) Simplify to lowest terms by first reducing the powers of 10.16002000
54)
55) Simplify the fraction to lowest terms. Write the answer as a fraction or wholenumber.
80130
55)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
56) Simplify the fraction to lowest terms. Write the answer as a fraction or whole number.70120
A)356
B)7
120C)
712
D) 10
56)
57) Simplify the fraction to lowest terms. Write the answer as a fraction or whole number.9 - 59 + 3
A) 1 B)13
C)76
D)53
57)
58)6 - 39 - 9
A)12
B) 0 C)16
D) undefined
58)
59) Angel tossed a coin 44 times and heads came up 14 times. What fractional part of thetosses came up heads? What fractional part came up tails?
A) heads: 722
; tails: 1522
B) heads: 411
; tails: 711
C) heads: 227
; tails: 2215
D) heads: 1522
; tails: 722
59)
8
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SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
60) At a raffle, Bill purchased 2 tickets. If 40 tickets were sold, what fraction of thetickets does Bill have?
60)
61) Allen and Rajiv worked on their homework together. Allen finished 18 of the 30problems he was assigned, and Rajiv finished 28 of the 35 problems he wasassigned.a. What fractional part of his total number of homework problems did each boyfinish?b. Which boy finished the greater fractional part?
61)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
62) Multiply and simplify to lowest terms. Write the answer as a fraction or whole number.107
∙ 285
A) 8 B)28035
C)567
D)405
62)
63) Multiply and write the answer as a fraction.29
45
A)518
B)47
C)845
D)36045
63)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
64) Multiply and write the answer as a fraction.14
∙ 59
64)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
65) Multiply the fractions and simplify to lowest terms. Write the answer as a fraction orwhole number.
87
43
A)65
B)3221
C)221
D)67
65)
9
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SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
66) Multiply and write the answer as a fraction. Write the answer as a fraction orwhole number.
9 ∙ 38
66)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
67) Multiply the fractions and simplify to lowest terms. Write the answer as a fraction orwhole number.27
∙ 2
A)114
B)17
C)47
D)167
67)
68) Multiply and simplify to lowest terms. Write the answer as a fraction or whole number.325
3520
A)525
B)565
C)585
D)545
68)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
69) Multiply and simplify to lowest terms. Write the answer as a fraction or wholenumber.
67
3512
69)
70) Simplify the power of 110
.
110
7
70)
71) Simplify. Write the answer as a fraction or whole number17
271)
10
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
72) Simplify. Write the answer as a fraction or whole number.53
3
A)125
3B)
527
C)159
D)12527
72)
73) Simplify. Write the answer as a fraction or whole number.
3 ∙ 53
3
A)125
9B) 27 C)
125729
D) 125
73)
74) Simplify. Write the answer as a fraction or whole number.1
40 ∙
52
2
A)1
256B)
1284
C)116
D)17
74)
75)17524
∙ 35
2
A)2140
B)218
C)18134
D)17829
75)
76) Find the area of the figure.
A) 154 cm2 B) 76 cm2 C) 74 cm2 D) 152 cm2
76)
11
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77) Find the area of the figure.
25
yd
34
yd
A)2310
yd2 B)2320
yd2 C)310
yd2 D)35
yd2
77)
78) Find the area of the shaded region.803
in
665
in
A) 352 in2 B) 704 in2 C) 348 in2 D) 176 in2
78)
79) Find the area of the figure.
3 mm
89
mm
A)43
mm2 B)83
mm2 C)827
mm2 D)4
27 mm2
79)
12
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80) Find the area of the figure.
2 m
52
m
A) 5 m2 B) 10 m2 C)54
m2 D)52
m2
80)
81) Find the area of the figure.
6 yd
6 yd
12 ydA) 108 yd2 B) 24 yd2 C) 144 yd2 D) 72 yd2
81)
82) In a recent survey at a mall, 1120
of the people polled were under the age of 30. If 360
people were surveyed, how many of them were less than 30 years old?A) 198 people B) 171 people C) 180 people D) 162 people
82)
83) Molly is saving for a down payment on a house. She has saved $110 every month for a
year. At the end of the year her she spent 25
of it to help a relative with an unexpected
medical expense. How much of the years total did she have left?A) $44 B) $792 C) $528 D) $66
83)
84) Eldon has a 1320 square foot garden. On Saturday he weeds 56
of it. How many square
feet did he weed?A) 1056 ft2 B) 264 ft2 C) 1100 ft2 D) 220 ft2
84)
13
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85) At a restaurant, all of the tips are put into a fund and each week the chef gets 15
of the
fund and the rest is split evenly over the servers. If the tip fund from last week was$2280 how much should each of the three servers get?
A) $1824 B) $456 C) $608 D) $152
85)
86) At the beginning of the 2002 season, 3/5 of the players on one Major League Baseballteam had a salary of over 1 million dollars per year. There are 25 players on a majorleague roster. How many were making over a million dollars?
A) 17 B) 20 C) 15 D) 12
86)
87) A national safety organization has estimated that 1/5 of all drivers on the road aftermidnight on weekends is legally intoxicated. If there are 210 drivers on a stretch ofhighway during this time period, how many would this organization estimate to be drivingwhile intoxicated?
A) 126 B) 42 C) 84 D) 37
87)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
88) Find the reciprocal of the number, if it exists.53
88)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
89) Find the reciprocal of the number, if it exists.3
A) 3 B)13
C) 1 D) No reciprocal exists.
89)
90) Find the reciprocal of the number, if it exists.07
A)70
B) 0
C) No reciprocal exists. D) 7
90)
14
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SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
91) Fill in the blank.Dividing by 7 is the same as multiplying by .
91)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
92) Divide and simplify the answer to lowest terms. Write the answer as a fraction or wholenumber.
54
÷ 14
A)516
B)15
C) 5 D) 20
92)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
93) Divide and simplify the answer to lowest terms. Write the answer as a fraction orwhole number.
512
÷ 1
18
93)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
94) Divide and simplify the answer to lowest terms. Write the answer as a fraction or wholenumber.
910
÷ 125
A)83
B)2554
C)5425
D)38
94)
95) Divide and simplify the answer to lowest terms. Write the answer as a fraction or wholenumber.98
÷ 92
A)14
B)1117
C) 4 D)8116
95)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
96) Divide and simplify the answer to lowest terms. Write the answer as a fraction orwhole number.
75
÷ 75
96)
15
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97) Divide and simplify the answer to lowest terms. Write the answer as a fraction orwhole number.
3 ÷ 29
97)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
98) Divide and simplify the answer to lowest terms. Write the answer as a fraction or wholenumber.
98
÷ 3
A)278
B)38
C)249
D)9
24
98)
99)6325
÷ 35
÷ 7
A)35
B)27
125C)
1475
D)1323125
99)
100)720
÷ 12
2
A)710
B)7
80C)
75
D)7
40
100)
101)827
∙ 34
2 ÷
718
A)47
B)7
81C)
7108
D)37
101)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
102) Joseph must read 28 pages for his literature class and 16 pages for history. If he
has read 14
of the pages,
a. How many pages has he read?b. How many pages does he still have to read?
102)
16
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
103) A recipe calls for 13
cup of water. If the recipe is being tripled, how much water should
be used?
A) 1 cup B)13
cup C) 3 cups D)19
cup
103)
104) Joseph exercises 5 times a day for 12
hours per exercise session. How many hours does he
exercise per day?
A)52
hours per day B) 5 hours per day
C)12
hours per day D)74
hours per day
104)
105) A developer sells residential home sites in 34
acre lots. If the developer has 600 acres,
how many lots can be sold?A) 400 acres B) 450 acres C) 900 acres D) 800 acres
105)
106) A television station allows 12 minutes of advertising each hour. How many 45-second34
-minute commercials can be run in
a. 1 hr b. 1 dayA) a. 96 commercials per hr; b. 384 commercials per dayB) a. 16 commercials per hr; b. 384 commercials per dayC) a. 96 commercials per hr; b. 540 commercials per dayD) a. 16 commercials per hr; b. 540 commercials per day
106)
107) Multiply. Write the answer as a mixed number or whole number.
416
∙ 35
A) 215
B) 4 110
C) 425
D) 212
107)
17
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108) Multiply. Write the answer as a mixed number or whole number.
223 ∙ 0
A) Cannot be multiplied. B) 0
C) 2 D)23
108)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
109) Multiply. Write the answer as a mixed number or whole number.
423 1
14
109)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
110) Multiply. Write the answer as a mixed number or whole number.
513
∙ 114
A) 6 112
B) 623
C) 523
D) 5 112
110)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
111) Multiply. Write the answer as a mixed number or whole number.
515 ∙ 5
111)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
112) Divide. Write the answer as a mixed number, proper fraction, or whole number.
345
÷ 15
A) 19 B) 314
C) 7 D) 3 425
112)
18
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113) Divide. Write the answer as a mixed number, proper fraction, or whole number.
0 ÷ 412
A) 0 B) Cannot be divided.
C) 412
D) 4
113)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
114) Divide. Write the answer as a mixed number, proper fraction, or whole number.
614 ÷ 1
14
114)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
115) Divide. Write the answer as a mixed number, proper fraction, or whole number.
1 310
÷ 325
A)1317
B) 7 320
C)1334
D) 313
115)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
116) Divide. Write the answer as a mixed number, proper fraction, or whole number.
18710 ÷ 5
12
116)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
117) Divide. Write the answer as a mixed number, proper fraction, or whole number.
413
÷ 3
A) 419
B) 149
C) 4 D) 5
117)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
118) Laura's parents pay her $5 an hour to babysit her little brother. If Laura babysits
for 125 hours, how much will her parents pay her?
118)
19
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
119) Edward's estate is to be split equally among his three heirs. If his estate is worth $2 35
million, how much will each heir inherit?
A) Each heir will inherit $ 1115
million. B) Each heir will inherit $ 1315
million.
C) Each heir will inherit $ 815
million. D) Each heir will inherit $ 1415
million.
119)
120) Alberta paid about 825
of her annual salary in federal and state income tax. How much
did she pay if her salary was $80,000?A) Alberta paid $25,600. B) Alberta paid $24,600.C) Alberta paid $23,600. D) Alberta paid $26,600.
120)
121) A 16 12
-ft wire is cut into 8 pieces of equal length. How long is each piece?
A) Each piece is 2 316
ft. B) Each piece is 218
ft.
C) Each piece is 214
ft. D) Each piece is 2 116
ft.
121)
122) If 60 pounds of candy is distributed in 34
-lb bags, how many bags can be filled?
A) 45 bags can be filled. B) 50 bags can be filled.C) 100 bags can be filled. D) 80 bags can be filled.
122)
123) A tutor worked 1234
hours in a week and earned $357. What is her hourly rate?
A) $24 B) $20 C) $28 D) $16
123)
20
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124) Jeremy travels 134
hours to work each day. If he works 5 days a week, how much time is
spent traveling to and from work each week?
A) Jeremy spends 1714
hours each week traveling to and from work.
B) Jeremy spends 1712
hours each week traveling to and from work.
C) Jeremy spends 1612
hours each week traveling to and from work.
D) Jeremy spends 1614
hours each week traveling to and from work.
124)
21
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Answer KeyTestname: UNTITLED2
1) numerator: 7; denominator 42) 5 ÷ 1; 53) 9 ÷ 9; 14) B5) B
6)16
7) D
8)1523
9) A10) B11) B
12)84
13)154
; 334
14) D
15)149
916) A17) D
18) 389
19) 73710
20) 199716
21)
0 10 145
22) B23) C24) 5 ∙ 5 and 1 ∙ 2525) 10 and 326) a. no b. yes c. yes d. no27) A28) a. no b. yes c. yes d. no29) A
22
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Answer KeyTestname: UNTITLED2
30) A31) C32) A33) B34) B35) 41 (prime)36) 2 ∙ 2 ∙ 2 ∙ 537) 3 ∙ 3 ∙ 5 ∙ 538) C39) C40) D41) B42) C43) C44) B45) B46) B47) B48) 6
49)19
50) A
51)49
52) 1
53)32
54)45
55)813
56) C57) B58) D59) A
60)120
61) a. Allen: 35
; Rajiv: 45
b. Rajiv finished the greater fractional part.62) A63) C
23
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Answer KeyTestname: UNTITLED2
64)536
65) B
66)278
67) C68) B
69)52
70)1
10,000,000
71)149
72) D73) D74) A75) B76) B77) C78) D79) A80) A81) A82) A83) B84) C85) C86) C87) B
88)35
89) B90) C
91)17
92) C
93)152
94) D95) A96) 1
24
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Answer KeyTestname: UNTITLED2
97)272
98) B99) A
100) C101) D102) a. Joseph has read 11 pages.
b. Joseph still must read 33 pages.103) A104) A105) D106) B107) D108) B
109) 556
110) B111) 26112) A113) A114) 5115) C
116) 325
117) B118) Her parents will pay her $7.119) B120) A121) D122) D123) C124) B
25
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