What is thesmallest number of slices in each package so there will be none left when making any combination of large or medium pizzas.. 125 A baseball team has played 9 games so far this
Trang 1MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question Find all the factors of the number.
7)
8) 70
A) 1, 2, 5, 7, 35, 70 B) 1, 2, 3, 5, 7, 9, 15, 35, 70C) 1, 3, 5, 7, 9, 15, 20, 35, 70 D) 1, 2, 5, 7, 10, 14, 35, 70
8)
9) 72
A) 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 18, 24, 36, 72 B) 1, 2, 3, 4, 6, 8, 9, 12, 24, 36, 72C) 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 D) 1, 2, 3, 4, 6, 9, 12, 14, 18, 24, 36, 72
9)
10) 84
A) 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84 B) 1, 2, 3, 4, 6, 7, 12, 14, 21, 42, 84C) 1, 2, 3, 4, 7, 14, 21, 28, 42, 84 D) 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 14, 21, 28, 42, 84
Trang 3Solve the problem.
38) The government holds a presidential election in every year that is a multiple of 4 Was there an
election in 1984? Explain
A) No, there was not an election in 1984, because 1984 is not a multiple of 4
B) Yes, there was an election in 1984, because 1984 is a multiple of 4
38)
39) The government holds a presidential election in every year that is a multiple of 4 Was there an
election in 1971? Explain
A) No, there was not an election in 1971, because 1971 is not a multiple of 4
B) Yes, there was an election in 1971, because 1971 is a multiple of 4
41) A choreographer of a musical wants to hire enough dancers so that he can arrange them in groups
of exactly 9, 12, and 18 with no dancers left out What is the least number of dancers he can hire?
41)
Trang 442) The manager at a local pizza place wants to cut and package pepperoni slices Each medium
pizza has 5 slices of pepperoni and each large pizza takes 8 slices of pepperoni What is thesmallest number of slices in each package so there will be none left when making any combination
of large or medium pizzas
42)
43) Two vending machines sit in a cafeteria A soda machine is restocked every 9 days, and a snack
machine is restocked every 4 days If they were both restocked today, in how many days will theyagain both be restocked?
43)
44) A record producer decided to have a special promotion at a local concert Every sixth person
through the gate was to receive a free compact disc If you were person number 600 through thegate, would you get a free CD? Explain
A) Yes, because 600 is a multiple of six B) No, because 600 is not a multiple of six
46)
Trang 550)
Trang 654)
Trang 7Draw a diagram to represent the number.
Trang 8C)
D)
58)
Trang 1176) 151
2A) 31
31
312
77)
78) 47
9A) 43
78)
79) 52
5A) 25
79)
80) 119
10A) 129
80)
81) 8 9
100A) 809
Trang 12Write the improper fraction as a mixed or whole number.
83) 25
3A) 91
83)
84) 31
4A) 73
84)
85) 21
5A) 51
85)
86) 35
6A) 55
86)
87) 29
8A) 35
89)
90) 248
5A) 493
90)
91) 1951
11A) 11
91)
Trang 1394) 3
5 = 20
94)
95) 3
7 = 35
95)
96) 2
3 = 30
96)
97) 3
9 = 72
97)
98) 15
8 = 16
98)
99) 5
11 = 88A) 1
101)
Trang 14Simplify the fraction.
102)
103) 45
54A) 5
103)
104) 55
99A) 11
104)
105) 140
180A) 140
105)
106) 234
247A) 234
106)
107) 55
33A) 3
Trang 15Between the pair of numbers, insert the appropriate sign: <, =, or >.
111) 8
11
711
Trang 16123) 2
3, 6, 9A) 2
124)
Solve Write your answer in simplest form.
125) A baseball team has played 9 games so far this season The team won 7 games What fraction of
its games has the team won?
125)
126) A baseball team has played 9 games so far this season The team won 6 games What fraction of
its games has the team lost?
126)
127) In a three-point shooting contest, a basketball player attempted 20 shots and made 15 of them
What fraction of his shots did the player make?
127)
128) In a three-point shooting contest, a basketball player attempted 15 shots and made 9 of them
What fraction of his shots did the player miss?
129)
130) At an advertising agency that employs 214 people, 80 employees receive 4 weeks of paid vacation
each year What fraction of the agency's employees receives 4 weeks of paid vacation?
130)
Trang 17131) You have three bolts that are 3
4 Which card has a higher probability of being drawn, a diamond or a facecard? Explain
A) A diamond, because 1
4 is greater than
12
52.B) A face card, because 12
32 points today Does the broker sell the stock? Explain.
134)
135) 17
84 + 1784A) 18
135)
136) 8
15 + 2
15 + 215A) 12
136)
137) 8
80 + 18
80 + 1980A) 26
137)
Trang 18138) 1
8 + 78A) 1
8
816
138)
139) 4
9 + 29A) 1
139)
140) 1
4 + 29A) 3
140)
141) 3
4 + 712A) 4
141)
142) 7
4 + 112
142)
143) 2
3 + 112A) 3
143)
144) 1
5 + 110A) 1
144)
145) 3
10 mi + 13
100 miA) 8
Trang 19147) 5
8 + 2
12 + 221A) 3
147)
148) 5
18 + 5
27 + 2236A) 4
37
150)
151) 173
8 + 163
8 + 1258A) 453
3
38
151)
152) 24
7 + 347A) 58
152)
153) 84
7 + 137A) 101
154)
155) 92
5 + 1514A) 2513
155)
Trang 20156) 193
4 + 141
2 + 58A) 337
156)
157) 71
5 + 1734A) 719
157)
158) 62
3 + 21112A) 9 1
158)
159) 33
4 + 2 512A) 514
159)
160) 15
6 + 659A) 775
Trang 21165) 4
8 - 38A) 1
165)
166) 5
21 - 121A) 4
166)
167) 8
25 - 525A) 13
167)
168) 30
49 - 2549A) 1 6
168)
169) 25
42 - 742A) 2
169)
170) 7
8 - 38A) 2
170)
171) 28
13 - 513A) 2
171)
172) 50
72 mi - 41
72 miA) 119
Trang 22Subtract and simplify.
174) 6
8 - 26A) 5
174)
175) 1
5 - 113A) 1
175)
176) 5
7 - 12A) 4
176)
177) 4
5 - 320A) 3
177)
178) 9
23 - 719A) 2
178)
179) 7
9 - 112A) 25
179)
180) 8
15 - 120A) 29
180)
181) 7
12 - 116A) 1
181)
Subtract and simplify Write the answer as a mixed number as needed.
182) 104
9 - 859A) 18
182)
Trang 23183) 193
7 - 67A) 184
183)
184) 103
8 - 858A) 183
184)
185) 118
11 sec - 4 4
11 secA) 7 6
188)
189) 10 - 41
9A) 58
189)
190) 13 - 5
6A) 101
Trang 24192) 146
7 - 2A) 12
5
67
192)
193) 121
3 - 12A) 241
193)
194) 135
8 lb - 2 lbA) 133
93
95100
198)
199) 382
3 - 251316
199)
200) 132
15 - 729A) 441
43
4145
200)
Trang 25201) 155
16 - 638
201)
202) 122
9 - 656
202)
203) 166
7 - 1921A) 1420
20
2021
206)
207) 82
3 - 11
3 + 419A) 11 4
207)
208) 81
3 - 1 1
10 + 715A) 1413
208)
209) 91
4 + 15
7 - 5 316A) 5 1
209)
Trang 26210) 85
8 - 11
3 - 4 316A) 11 5
210)
211) 172
7 - 2
3 - 3 314A) 135
12
212)
213) 9
20 - 1
5 + 14A) 1
216) June wants to work for 131
4 hours at her part-time job this week She has already worked 51
2hours How many more hours does she need to work?
217) Peter must practice the piano 111
4 hours per week He has already practiced 7
Trang 27219) Brian was training to run a marathon During the three-day period before the race he decided that
he would train for a total of 12 hours If he trained for 14
5 hours on the first day and 1
7
10 hours onthe second day, how many hours would he need to train on the third day?
220) Amy decided to bake bread and a cake For the bread she needed 31
2 cups of flour For the cakeshe needed 12
3 cups of flour She had only 3
b = 778A) 77
221)
Trang 28222) Find the length of the section represented by x in the figure.
a = 234
b = 121112A) 20 1
222)
Multiply Write the answer as an improper fraction as needed.
223) 7
9 ∙ 17A) 7
223)
224) 3
5 × 78A) 21
224)
225) 5
62
225)
226) 3
4 × 27A) 3
226)
227) 5
8 ∙ 810A) 1
Trang 29228) 15
4
1211A) 45
228)
229) 21
8
47A) 6
230)
231) 10 ∙ 5
7A) 50
5
5070
231)
232) 33 ∙ 1
9A) 33
232)
Multiply Write the answer as a mixed number as needed.
233) 11
9 ∙ 45A) 18
233)
234) 22
9 ∙ 38A) 2 6
234)
235) 1
6 ∙ 415A) 7
235)
236) 1
2 ∙ 338A) 119
236)
Trang 30237) 5
6 3
12A) 11
237)
238) 91
3 ∙ 314
114
238)
239) 6 3
10 × 211A) 23
239)
240) 2
9 2
12A) 21
240)
241) 51
9 ∙ 14A) 51
241)
242) 13
5 ∙ 38A) 9
244)
245) 51
3 × 214
245)
Trang 31246) 45
8 ∙ 513
246)
247) 2 × 5 5
14A) 105
248)
249) 1 × 42
7 × 35A) 14
249)
250) 11
32
251)
Divide Write the answer as a mixed number as needed.
252) 1
5 ÷ 27A) 2
252)
253) 5
13 ÷ 25A) 321
253)
254) 1
19 ÷ 518A) 17
254)
Trang 32255) 3
5 ÷ 57A) 21
255)
256) 2
7 ÷ 83A) 3
256)
257) 2
3 ÷ 13
257)
258) 5
13 ÷ 1552A) 11
258)
259) 3
5 ÷ 7A) 1
259)
260) 1
6 ÷ 5A) 1
2
130
260)
261) 40
7 ÷ 5A) 11
1
263)
Trang 33264) 8 ÷ 7
4A) 44
1
732
264)
265) 22
5 ÷ 25
266)
267) 52
7 ÷ 13A) 15 2
269)
270) 41
3 ÷ 359A) 1 7
272)
Trang 34273) 52
7 ÷ 3 13A) 141
273)
274) 32
7 ÷ 223A) 114
276)
277) 17
18 - 2
9 ∙ 114A) 65
277)
278) 1
5 × 21
5 + 1A) 5
278)
279) 11
6 × 1 ÷ 35A) 117
279)
280) 4 × 41
8 × 27A) 45
280)
281) 3
2 + 52
2
- 57A) 23
281)
Trang 35282) 2
3
2+ 51
5 ÷ 312A) 2 16
282)
283) 11
2 ÷ 15
2 + 1 - 142
283)
284) 11
2 ÷ 17
2 + 1 - 142
284)
Solve Write the answer as a mixed number as needed.
285) Jeremy has traveled 8
9 of his total trip He has traveled 1192 miles so far How many more milesdoes he have to travel?
9 miles D) none of these
285)
286) A technician has readings that take 2
3 minute each to read and record How many readings can becompleted in 60 minutes?
286)
287) A bag of chips is 24 ounces A serving size is 3
4 ounce How many servings are in the bag of chips?
288) A piece of cable which is 2
5 m long is to be cut into pieces
Trang 36290) Fahrenheit temperatures can be obtained from Celsius (centigrade) by multiplying by 14
5 andadding 32° What Fahrenheit temperature corresponds to a Celsius temperature of 43°?
291) A worker has readings that take 22
3 minutes each to read and record How many readings can becompleted in 120 minutes?
291)
292) The floor of a rectangular room is to be tiled with 1
3 foot square tiles along a 7
293) Stock in a company is selling for $181
2 per share If someone purchases $2590 worth of stock in thiscompany, how many shares did they get?
Provide an appropriate response.
295) List all the factors of 44
297)
Trang 37298) Write 12 as an improper fraction.
78
303)
304) 15
6 + 5 710A) 647
304)
Subtract and simplify Write the answer as a mixed number as needed.
305) 15 - 84
7A) 63
305)
306) 104
5 - 313A) 711
11
715
306)
Trang 38307) 1
82
307)
308) 22
5 × 334A) 6 9
310)
Solve Write the answer as a mixed number as needed.
311) Deirdre led a tour of a Spanish city for a group of foreign tourists Of the 40 people in the group, 8
could speak Spanish What fraction of the group could not speak Spanish?
311)
312) A car traveled 363 miles on 151
8 gallons of gas How many miles per gallon did it get?
313) A recipe calls for 22
3 cups of water How much water would be needed for half the recipe?
314) Tia pays her babysitter $4 per hour The babysitter worked for 41
2 hours on Friday and 1