INSTRUCTOR SOLUTIONS MANUAL
B EG INNING
AND I NTERMEDIATE A LGEBRA
SIXTH EDITION
John Tobey
North Shore Community College
Jeffrey Slater
North Shore Community College
Jamie Blair
Orange Coast College
Jennifer Crawford
Normandale Community College
Anne Fischer
Tulsa Community College
The author and publisher of this book have used their best efforts in preparing this book. These efforts include the development, research, and testing of the theories and programs to determine their effectiveness. The author and publisher make no warranty of any kind, expressed or implied, with regard to these programs or the documentation contained in this book. The author and publisher shall not be liable in any event for incidental or consequential damages in connection with, or arising out of, the furnishing, performance, or use of these programs.
Reproduced by Pearson from electronic files supplied by the author.
Copyright © 2022 by Pearson Education, Inc., 221 River Street, Hoboken, NJ 07030. All rights reserved.
All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written permission of the publisher. Printed in the United States of America.
ISBN-13: 978-0-13-583821-1
ISBN-10: 0-13-583821-5
0.1 Exercises
2. 13 : 17 17isthedenominator
4. 1: 317 or 317
6. 3 3 4
8. 20545 2446
10. 8181 48686
12. 72184 4 18181
14. 3056 8551717
16. 331133 551155
18. 63977 7 91
20. 3 194 5193 55 15 4
22. 7 545 7547 77 49 5
24.
6 415 6416 66 36 5
Chapter 0
26. 8 251 3258 33 24 1
28. 11 792 77911 77 7 09 7 2
30. 15 12441 81241515 882 8 44 40 4
32.
34.
42(45)220222 5555
51(512)160161 12121212
36. 15(16)56511 6666
38. 62(63)218220 3333
40. 101(109)190191 9999
42. 78 786 6 13 678 6 18 18 0 78 13 6
44.
46.
48.
5?5630 9549654
5?5525 9459545
13?13339 175117351
50. 10?10440 156015460
52. 7?7535 8408540
54. 45?45290 50100502100
56. 20545 4241064106
58. 1400702070 242012120121
33israisins 1315
62.
134 1315 doesnotcontainnuts
64. 66323 6814727
3 7 ofthestudentsenrolledin1994weremale.
Classroom Quiz 0.1
1. 56787 8811811
2. 511(514)11701181 14141414
0.2 Exercises
2. Youmustchangethefractionstoequivalent fractionswithacommondenominator.
4. 2117 and 3020
30=2 3 5 20=225
LCD=2 2 3 5=60
6. 51 and 1824 18=233
24=2 2 2 3
LCD=22233=72
8. 57 and 1648 16=2 2 2 2 48=22223
LCD=2 2 2 2 3=48
10. 117 and 1220
12=2 2 3 20=225
LCD=2235=60
12. 78 and 3045 30=235
45=3 3 5 LCD=2335=90
14. 139 ,,and 71435 7=7
14=2 7 35=57
LCD=2 5 7=70
16. 3511 ,,and 81242 8=222 12=223 42=237
LCD=2 2 2 3 7=168
18. 5311 ,and 81416
8=2 2 2 14=27
16=2 2 2 2 LCD=22227=112
20. 35358 11111111
22. 11211293 151515155
24. 31333134952611 or1 201520315460606060
26. 434735281513 575775353535
28. 3133189817 838338242424
30. 272273421255 15101521033030306
32. 212321223422319 122412224242424
34. 1311313133102 15515531515153
36. 75795463208311 or2 49499436363636
38. 47136492110643 or1 7936363636363
40. 134173644 121421127146214 71816 848484 41 84
42. 1211132511 5315533515 31011 151515 2 15
44.
46.
53159861 2483242424244
11251375521277 325 868624242424
48. 23203809895 67 343412121212
50.
233715148757313 733 545420202020
52. 8311313113397414 724 15515515151515
54.
112213669115710 347 737321212121
56. 123717202 1256 333333
58. 121129118247 9919 1313131313
60. 1931992814 301030303015
62. 221737851111961 5713 353515151515
64. 15315961 2482424244
66. 1119177651251 642 343412121212
68. 3121 8884
70. 25553053517 11 31831818181818
72. 3251 1515153
74. 52829224291953 28324 8188888
76. 112212156 10518 243243 12663224 121212 413 12 5 34 12
Theyranatotalof5 34 12 miles.
78. 3127158 1712 443443 2131532 121212
Therearenow 1 16 3gallons.
80. 59377374731 44inch 816816161616
Itissmallersoitwillslideinandouteasily.
82. 1151401419 22 21621616161616
Thefairwaygrasscouldbeaslongas 29inches. 16 7114113 816161616
Theputtinggreenscouldbeasshortas13inch. 16
Cumulative Review 83. 36949 441411
84. 32653133 26 555
Classroom Quiz 0.2
1. 1234169295 or1 6382424242424
2. 1755341 24 189189 5382 1818 135 18 9 7 18 1 7 2
3. 223711111555611 733 535315151515
0.3 Exercises
2. Invertthesecondfraction.Multiplytheresultby thefirstfraction.
4. 52857441 or1 71575333
6. 171317131 26342131724
8. 3515 11777
10.
1583585 24938339 12. 692391 211837297
14. 2235103 15or1 2137177
16. 883242 3or2 111111111
18.
13131377 979139
20. 7717 4 88432
22. 218999 1881 91211
24. 85862464 1261252655
26. 9497979 28728447416
30. 3 4 11 12 3113123349 41241141111
32. 139279841 431 282822733
36. 17115181242 1 484841541515
38. 1 2 181189182922 1844 42121919
40. 5 6 1 2 515552521 2 26262653253
42.
1296233 3 182632
44. 511518536154 or1 6186116111111
46.
21927 102 9393 923 97 921 37 92 21 8 4 21
48. 2155153533 1519 3131515
50. 11326 61278 221
52. 1237237214 2 3353353515
54. a. 1241464 61561515
b. 1241151355 615624232448
56. a. 32132532525 72572173749 b. 3213379 72572525
58. 1511713 291 4848 1178 413 91324 413 18
Thematerialcanmake18pullovers.
60. 115513551 15153 51515
Theareaofhergardenis153squarefeet. Cumulative Review
61. 1111555 157515575 ?
0.4 Exercises
2. Wewrite0.42inwordsasforty-twohundredths.
4. Whendividing96.3by10,000wemovethe decimalpoint4placestotheleft.
40. 3.84 0.0017 2688 384 0.006528
42. 23,000 0.0042 46000 92000 96.6000 or96.6
44. 0.3248 3912.6672 117 96 78 187 156 312 312 0
46. 3.18 2.056.5190 615 369 205 1640 1640 0
48. 6.2 0.0050.0310 30 10 10
50. 0.095 0.090.00855 81 45 45 0
52. 1.36 1000=1360
54. 175,318 1000=175.318
56. 0.00243 100,000=243
58. 3.52 1000=0.00352
60. 85.54 10,000=855,400
62. 96.12 10,000=0.009612
64. 8.252 0.005 0.041260or0.04126
66. 1.109 0.088 16.4 17.597
68. 25712.or25,712 0.00377.136 6 17 15 21 21 3 3 6 6 0
70. 25.62 10,000=256,200
72. 14.30 0.68 13.62
74. 0.58 1000=0.00058
76. 13.2 44 528 528 580.8 Chriscandrive580.8miles.
78. 1.3 5=6.5milligrams No;therewas0.3milligramofcopperinthe 5liters(or0.06milligramperliter)inexcessof thestandard.
1172174122 35 2424221133
3123341 827243336 81. 1294845484593 2520100100100100
Classroom Quiz 0.4
Use Math to Save Money
1. $100,$300,$2000,$8000,$8000,$8000, $12,000
2. 3 $25+$50+$200+2 $20 =$75+$50+$200+$40 =$365
3. Thethreesmallestdebtsare$100loan,$300 loan,and$2000carloan.
4. $20each,or$40
5. $2000$400=$1600 $16007 $240 (roundedtothenearestwhole number)
Itwilltakethem7moremonthstopayoffthe thirdsmallestdebt.
6. Answerswillvary.
How Am I Doing? Sections 0.1 0.4 (AvailableonlinethroughMyMathLaborfromthe Instructor’sResourceCenter.) 1. 15353 5511511 2.
462232 1155235
547528533 4 7777
4?4624 5305630
5?5945 9819981
7. 8=222 6=2 3 15=35 LCD=2 2 2 3 5=120 8. 32325 7777
52532215419 1421143212424242
321117 25 4343 113174 4334 3368 1212 101 12 5 8 12
175175217107 1891892181818
1127627 12342 21212 16. 8474771 43 71812422
19. 50.833 65.0000.83 648 20 18 20 18 2
30.015 2003.0000.015 200200 1000 1000 0 21. 15.230 3.600 0.821 19.651 22. 3.28 0.63 984 1968 2.0664 23. 3.0150.45 6.73.0150.45 6.7268 335 335 0
24. 12.130 9.884 2.246
0.5 Exercises
2. Thenumberdirectlyfollowingtheword“of” shouldbethedenominator.Inthiscaseyou shoulduse30 80 since80followstheword“of.”
4. 0.54=54%
6. 0.063=6.3%
8. 0.046=4.6%
10. 7.49=749%
12. 5.7=570% 14. 8.674=867.4% 16. 6%=0.06
18. 0.62%=0.0062 20. 175%=1.75
22. 8.7%=0.087
24. 0.1%=0.001
26. 200%=2.00or2
28. 7%of69
0.07 69=4.83
30. 25%of600 0.25 600=150
32. 154%of270 1.54 270=415.8
34. 49iswhatpercentof28? 49 1.75175% 28
36. Whatpercentof35is28? 284 0.880% 355
38. 48iswhatpercentof600? 482 0.088% 60025
40. 75iswhatpercentof30? 755 25250 302 .%
42. Whatpercentof440is11? 11 002525 440 ..%
2.5%oftheunitsweredefective.
44. 28%of350 0.28 350=98 98ofthenewbusinessesfailed.
46. 137 0.761176.11% 180 About76.11%hadagrandparentnotborninthe UnitedStates.
48. 17% 3690=0.17 3690=627.30 Hermonthlycostis$627.30.
50. a. 65% 18,600=12,090 Hetraveled12,090miles.
b. 0.31 12,090=3747.90 Hewaspaid$3747.90.
52. 729 688 700 700=490,000
54. 8192 5984 8000 6000=48,000,000
56. 318494613243300500600200 1600
58. 300,000 165,846,213206,000,000
60. 53,61050,00050062.5 7868008
62. 4.9%of$9321.88 0.05 $9000=$450
64. 85 19 5 90 20 5=9000 Anestimated$9000iswithdrawneachhour.
66. 11,90010,00025 430400 Itwilltakeanestimated25trips.
Cumulative Review
67. Distance:69,229.568,459.5=770 770 22 35 Hiscarachieved22milespergallon.
68. Total=4.6+4.5+2.9=12 12 Average4.0inchespermonth. 3
Classroom Quiz 0.5
1. 6.4%of380=0.064 380=24.32
2. 247iswhatpercentof380?
247 0.6565% 380
3. 4498.566721.184000700028,000,000 0.6 Exercises
2. 1145251125 Area2212 22224 1125 Cost8.002250 4 Thetotalcostis$2250.
4. a. 1125415 12205 22221 5125 4 128125 1281 .
Itwilltake1281cubicfeettofillthepool.
b. 12817.5galcuft9607.5gal cuft 10,000gal
Thepoolholds10,000gallons.
c. 10000 2 5000 , ; 2 4=8
Theyshouldadd8ouncesofchlorinator eachday.
6. Increasefromday1today3 115 1 333
Jog: 5153112miles 32322
Walk: 5357351112miles 34341212
Rest: 515525124minutes 323266
Walk:55211miles 333
8. Increasefromday1today5
4 11114256 1111 3333381
Jog:
256125631282014mi 8128122727
Shewouldjog20 4 27 milesonday5.
10. Answerswillvary.Possibleanswer:Melinda’s trainerhasthebestplanbecauseafter14days shewillbejoggingandwalkingagradual increaseindistances.Over14days,Betty’s scheduleincreasesmore.Theamountofincrease eachdayislarger.Eventuallyitisunrealistic.
12. a. 100%12%=88%
0.88 24=21.12
Youget21.12ozfromadozenlargeeggs. 0.88 21=18.48
Youget18.48ozfromadozenmedium eggs.
b. large:2.79$0.1321/oz; 21.12
medium:2.39$0.1293/oz 18.48
Themediumeggsarethebetterbuy.
14. a. From13(b),thebudgetforfoodis $14,104.15.
$14,104.15 0.20=$2820.83
$14,104.15$2820.83=$11,283.32 Thenewfoodbudgetis$11,283.32.
b. $14,104.15$11,283.32=$2820.83 $2820.83wouldbeavailabletoreducethe debt.
16. 12.5636.2848.84 0.044% 11501150
About4%isdeductedforretirementand medical.
18. 12.5636.2810.8059.64 0.055% 11501150
About5%isdeductedforspecialdeductions.
Classroom Quiz 0.6
1. 650260tiles 2.5
Itwillrequire260tilestopavethecourtyard.
2. 3%of495,000=0.03 495,000=14,850. 14,85014,8500.4242% 20,15014,85035,000 Hiscommissionwas42%ofhistotalincome.
3. 2(115)+2(210)=230+420=650 5 650=$3250 Thefencewillcost$3250.
Career Exploration Problems
1. 90%ofthefirst$826=0.9($826)=$743.40 32%ofearningsbetween$826and$4980 =0.32($4200$826) =0.32($3374) =$1079.68 Shehasnoearningsover$4980. Monthlybenefit74340107968 182308 $.$. $.
Cora’smonthlybenefitwillbe$1823.08.
2. monthlybenefit1823080434 monthlyearnings4200 $. . $
Cora’sbenefitisabout43.4%ofherpreretirementearnings.
3. a. Thereductionatage66is6.7%.
100%6.7%=93.3%or0.933
0.933($1823.08) $1700.93
Cora’smonthlybenefitwillbe$1700.93. $1823.08$1700.93=$122.15
Thetotalbywhichitwouldbereducedis $122.15.
b. Thereductionatage65is13.3%.
100%13.3%=86.7%or0.867
0.867($1823.08) $1580.61
Cora’smonthlybenefitwillbe$1580.61. $1823.08$1580.61=$242.47
Thetotalbywhichitwouldbereducedis $242.47.
You Try It
1. a. 18922 27933
451533 601544
5. a. 10=2 5 12=2 2 3 LCD=2 2 3 5=60 b. 25=5 5 20=2 2 5 LCD=2 2 5 5=100
6. a. 1119129211 292992181818
b. 1931933199105 248248324242412
7. a. 218282428527 235 39399999
b. 512342381551 312 636366622
8. a. 525210 11311333
b. 7157351 102125372
c. 363183 6or3 51555
9. a. 323515 14514228
b. 77755 12512712
10. a. 5111999331 12or4 64642488
b. 1377747222 312 242427271
11. 70875 87000 864 60 56 40 40 0 0875
12. a. 29 029 100 .
b. 1757 0175 100040 .
13. a. 2338 6195 8533 . .
b. 600 254 346 .
14. a. 15 09 135
b. 512 067 3584 3072 34304
15. 185 05925 5 42 40 25 25 0 . ^^
16. a. 0.52=52%
b. 0.008=0.8%
c. 1.86=186%
d. 0.077=7.7%
e. 0.0009=0.09%
17. a. 28%=0.28
b. 7.42%=0.0742
c. 165%=1.65
d. 0.25%=0.0025
18. 15%of92
0.15 92=13.8
19. a. Whatpercentof12is10? 105 0833833 126 ..%
b. 50iswhatpercentof40? 505 125125 404 .%
20. Area=27 11.5 25 12=300 Theroomisapproximately2300ft.
21. 15ft=5yd 2131ft7yd44 Area5715291452 4144yd 145 Cost42515406 4 Thetilewillcost$154.06.
Chapter 0 Review Problems
1. 361233 481244
2. 15533 5051010
3. 3618218 8241241
4. 18633 30655
5. 178156157 7 8888
6. 6 344 5346 55 30 4
7. 26 802 38026 33 6 20 18 2
5?5315 8248324
1?155 7357535 10.
3?31545 57551575 11.
2?21122 55551155
31341512517 545445202020
7572531415295 1 1281228324242424
14.
15.
71215164 201260606015
74734221813 101510352303030
16. 131913957817323 325 656530303030
17. 73271554751299 236 10410420202020
18.
255641 63 912912 564413 94123 224123 3636 101 36 29 2 36
134623 31 15201520 18469 6060 115 60 55 1 60 11 1 12
565308 62 111111111
1179733211 2410 32323222 22.
116258225 16350 81818 23.
445206 52 77177
24. 331311 6 88682316
25. 8 3 5 9 8589833244 4 39353555
26. 1511525154313 6 16416416254520
27. 610202121037 26 721710710
28. 1.634 3.007 2.560 7.201
29. 24.831 17.094 7.737
30. 47.251 17.690 29.561
31. 1.900 2.530 0.006 4.436
32. 5.35 0.007 0.03745
33. 362.341 1000=362,341
34. 2.6 0.03 1.02=0.07956
35. 2.51 100 0.05=125.5
36. 71.32 1000=0.07132
37. 0.523 0.4=1.3075
38. 90 0.0151.350 135 00
39. 4.1861.82 2.34.1861.82 2.323 188 184 46 46 0
40. 30.375 83.0000.375 824 60 56 40 40 0
41. 369 0.36 10025
42. 1.4%=0.014
43. 36.1%=0.361
44. 0.02%=0.0002
45. 125.3%=1.253
46. 0.0025=0.25%
47. 0.325=32.5%
48. 0.9=90%
49. 0.1=10%
50. 30%of400 0.30 400=120
51. 7.2%of55 0.072 55=3.96
52. 76iswhatpercentof80?
76 0.9595% 80
53. 750 0.660% 1250
54. 80%of16,850 0.8 16,850=13,480 13,480studentshavecellphones.
55. 720 0.7575% 960 75%oftheclasshadamathdeficiency.
56. 234,8971,936,112200,0002,000,000 400,000,000,000
57. 357923768417400900800400 2500
58. 634,318284,000600,000300,000 300,000
59. 142 218120929 553
60. 18%of56,297 0.2 60,000=$12,000
61. 12,482 389 10,000 400=25
62. 38.5 8.35 40 8=$320 Herestimatedsalaryis$320.
63. 38754000$800 55 Eachfamilyowesabout$800.
64. 2
Maximumdistance7240 3 23 240 3 1840miles
Theplanecanfly1840miles.
Longesttrip80%1840 0.81840 1472miles
Thelongesttriphewouldtakeis1472miles.
65. Distanceatmaximumspeed: 125 62402401500 44
Theplanecanfly1500miles. 0.70 1500=1050
Thelongesttriphewouldtakeis1050miles.
66.
5 6 12 Area129 23 2529 23 1205sqfeet 6 120 9 1323sqyards 54
23725 Cost26.001326$349.07 5454
Thetotalcostis$349.07.
67. 8%of5785
0.08 5785=$462.80
Hiscommissionwas$462.80.
68. Amountpaid=225 4 12=$10,800 Interest=10,8009214.50=$1585.50 Theypaid$1585.50morethanthecarloan.
69. Regularpay=7.50 40=300 O/Thours=4940=9
O/Tpayrate=1.5 7.5=11.25
O/Tpay=11.25 9=101.25
Totalpay=300+101.25=$401.25 Hewaspaidatotalof$401.25.
How Am I Doing? Chapter 0 Test
1.
16288 18299
11 10562 91051111 993 9 15 9 6
253285433 368386483 16209 242424 45 24 157 or1 88
13915930930397 134 848488888
25111722175 32 3636666
5281441 or1 7151333 9. 71727171 or3 42412122
334311 52 8484 434 2411 43 22 21 1 22
11513651 238 242488
7 8 1 4 71747171 or3 84812122
Beginning and Intermediate Algebra
13. 1.60 3.24 9.80 14.64
14. 7.0046 3.0149 3.9897
15. 32.8 0.04 1.312
16. 0.07385 1000=73.85
17. 230 0.05612.880 112 168 168 0
18. 26,325.9 100=263.259
19. 0.073=7.3%
20. 196.5%=1.965
21. Whatis3.5%of180? 0.035 180=6.3
22. 39iswhatpercentof650? 39 0.066% 650
23. 24929 418 91211 18chipsareinthestack.
24. 100 52,3444,678,98750,0005,000,000
25. 285.36311.85113.6300300100 700
26. Commission:(0.03)(870,000)=26,100 Totalincome:26,100+14,000=40,100 Percent: 26,1000.6565% 40,100 Hercommissionwas65%ofhertotalincome.
27. 12107 2103 212 2102 17 3072 17 60
Theywillneed60tiles.
1.1 Exercises
NumberIntRaNIRReN
2. 4 5XX
4. 2.34XX
6. 7 9XX
8. 14XXX
10. 3.232232223...XX
12. Up$0.07 +0.07
14. 3642feetabovesealevel +3642
16. 52feetbelowsealevel 52
18. Oppositeof3 7 is3 7
20. Oppositeof85.4is85.4.
22. |5.9|=5.9
24. 33 1111
26. 14+(3)=17
28. (17)+(23)=40
30. 325 777
32. 3521 1616168
34. 23431 714141414
36. 5.4+(12.8)=18.2
38. 0.8+0.5=0.3
40. 6.48+(3.7)=10.18
42. 3+(9)+(2)=12+(2)=14
44. 8+7+(15)=1+(15)=16
Chapter 1
46. 31191121 82424242412
48. 18+10+(5)=8+(5)=13
50. 15+(26)=11
52. 114+186=72
54. 329101 53151515
56. 218311 34121212
58. 8.33+(14.2)=5.87
60. 7+(15)+(6)=22+(6)=28
62. 1612261542615 3015 15 ()()
64. 2837408169832451698 1547 ..(.).(.)
66. 12+7=5
Thetemperatureatthesummitis5F.
68. 11+(15)=4hoursfrom12AM 12+(4)=8 Itis8A.M.inNewYork.
70. Accountbalance:643.85185.50=$458.35 Short:475458.35=$16.65 No;sheisshort$16.65.
72. 258+(32)+150=290+150=140 Hestillowes$140.
74. 30+14+(16)+(22)+5 =44+(16)+(22)+5 =6+5 =11
Thetotalearningswere$11,000,000.
76. 18?10 182810 ?28
Beginning and Intermediate Algebra
Cumulative Review
77. 151154193 or1 16416161616
78. 3143143722 79797333
79. 218351 152060606012
80. 125175525 23 252521734
81. 0.72+0.8=1.52
82. 1.630.98=0.65
83. 1.63 0.7 1.141
84. 0.208 0.8=0.26
Classroom Quiz 1.1
1. 27+(34)=7
2. 3.4+8.9+(4.8)=5.5+(4.8)=0.7
3. 7112111105 82424242412
1.2 Exercises
2. Firstchangesubtracting15toaddingapositive fifteen.Thenusetherulesforadditionoftwo realnumberswithdifferentsigns.Thus 10(15)=10+15=5.
4. 2357=23+(57)=34
6. 819=8+(19)=11
8. 17(13)=17+13=4
10. 48(80)=48+80=32
12. 0(7)=0+7=7
14. 24(24)=24+24=0
16. 11(19)=11+19=8
18. 27275 99999
20. 21218311 3434121212
22. 710710 10151015 2120 3030 4111 or1 3030
24. 0.90.5=0.9+(0.5)=1.4
26. 0.030.06=0.03+(0.06)=0.09
28. 5518131 3or2 66666
30. 1130311 5or5 66666
32. 1976=19+(76)=57
34. 7411=74+(11)=85
36. 8.4(2.7)=8.4+2.7=11.1
38. 22220 (6)66or 3333
40. 2272251 9or8 33333
42. 51256311 or1 6530303030
44. 97.6(146)=97.6+146=48.4
46. 22221232 (3)3or3 777777
48. 5.2(3.88)=5.2+3.88=9.08
50. 1.0434=1.043+(4)=5.043
52. 20(12)=20+12=32
54. 9+(7)5=9+(7)+(5)=2+(5)=3
Chapter 1: Real Numbers and Variables
56. 18+12(6)=18+12+6=6+6=0
58. 23124172312417 11417 717 10 ()()
60. 832619832619 5719 38 .(.).... .
62. 300(126)=300+126=426
Thehelicopteris426feetfromthesubmarine.
64. $156($37)=$156+$37=$193
Cumulative Review
65. 37+16=21
66. 37+(14)=51
67. 3+(6)+(10)=9+(10)=19
68. 5+20=15
Theafternoontemperaturewas15F.
69. 41425202 86 535333
Therewere 2 6 3 milescoveredinsnow.
Classroom Quiz 1.2
1. 19(13)=19+13=6
2. 4.21.5=4.2+(1.5)=5.7
3. 2323102737 9595454545
1.3 Exercises
2. Tomultiplythreeormorerealnumbers,multiply theabsolutevalues.Thesignoftheresultis positiveifthereisanevennumberofnegative signs.Itisnegativeifthereisanoddnumberof negativesigns.
4. 9(9)=81
6. 0(136)=0
8. 7.5(8)=60
10. (2.3)(0.11)=0.253
12. (3.4)(2.2)=7.48
14. (5)77 102
16. 434 9515
or 1 3 2
18. 1433 172834
20. 0 (13)=0
22. 64 6488 8
24. 180 (4)=45
20 2 10
8.1 8.1(0.03)270 0.03
7.2 7.280.9 8
32. 232510 757321
57518151 or2 6186777
484155 915986
2 5 12125 30 12
9 291931 or1 323622
46. 3(2)(1)(2)(5)=60
48. 6(2)(3)(0)(9)=0
50. 2014305028305 08405 042 (.)()(.).()(.) .(.)
52. 3252510 7337321
54. 2132132 3457657
77.
56. 5(2)=5+2=3
58. 4(8)=32
60. 30 (30)56 5
62. 6+(3)=9
64. 18 (18)=1
66. 90(47.2450.46)=90(3.22)=289.8 Thatdayhadalossof$289.80.
68. Payments:180(12)=$2160 Owing:64802160=$4320 Hestillowes$4320.
70. 5(10)=50,lost50yardsinsmalllosses.
72. Total=50+20=30,theresultisalossof 30yards.
74. 15(6)=+90,gained90yardsinmediumgains.
Cumulative Review
76. 17.4+8.31+2.40=9.09+2.40=6.69
78. 47(32)=47+32=15
79. 3751=37+(51)=88
Classroom Quiz 1.3
1. 446243 (6)or3 77177
2. 2(5)(3)(6)=10(3)(6)=30(6)=180
3. 4.5 4.50.9)5 0.9
1.4 Exercises
2. Thebaseis9andtheexponentis2.Thusyou multiply(9)(9)=81.
4. Theanswerisnegative.Whenyouraisea negativenumbertoanoddpowertheresultis alwaysnegative.
6. Ifyouhaveparenthesessurroundingthe3,then thebaseis3andtheexponentis4.Theresultis 81.Withoutparentheses,thebaseis3.You evaluatetoobtain81andthentaketheopposite of81,whichis81.Thus4(3)81, but 4 381.
20. 2 12144 22. 3 (2)(2)(2)(2)8
24. 3 (5)(5)(5)(5)125
26. 2 4(4)(4)16
28. 2 3339 44416
30. 3 11111 333327
32. 2 (1.5)(1.5)(1.5)2.25
34. 3 (0.7)(0.7)(0.7)(0.7)0.343
36. 4 (7)(7)(7)(7)(7)2401
38. 4 7(7)(7)(7)(7)2401
40. 23 6236844
42. 32 521254121
44. 22 14619636160 ()
46. 24 72491633 ()
(11)(13)6(9)8246(9)8 18(9)8 278 19
49. 39320 42049 345 433 52 or1 33
50. 17(9)=17+9=8
51. (2.1)(1.2)=2.52
52. 6%of1600=0.06 1600=96 1600+96=1696 Shehas$1696attheendoftheyear.
Classroom Quiz 1.4 1. 3 (6)(6)(6)(6)216
2. 2 (2.3)(2.3)(2.3)5.29 3. 4 2222216 55555625
1.5 Exercises
2. 4+4+4+5+5+5+5+5+5=42
4. (b)givesthecorrecttotal.
6. 22 5836336 936 36 18 ()()
8. 13+2(8+63)=13+2(5)=13+(10)=3
10. 2 73457945 7365 295 24
12. 736123147331479142
14. 265374125374 121574 121528 1
16. 2 113(4)(6)113(16)(6) 1148(6) 118 19
18. 22 2(36)(2)2(3)2 2(9)2 182 16
20. 22 5153425542
24.
32. 5154203352 51542031225 515141225 8851225
34. 32 32 11211 24363 1111 2423 1111 8429 918368 72727272 1 72
36. 1(2)5(1)10(0)2(1) 2(5)02 5or5underpar
38. Exercise37didnotusetheorderofoperations.
Cumulative Review
39. 3 (0.5)(0.5)(0.5)(0.5)0.125
40. 35910197 1 4612121212
41. 20 11 42. 31182518472 36 5454525125
Classroom Quiz 1.5
1. 3 64712664712 58712 5112 63
2. 2 (0.6)(2)(3.5)0.23
0.36(2)(3.5)0.23 0.3670.23 6.640.23
6.41
3. 5 5 3(45)36(9)8 3(1)36(9)8 3(1)36(9)8 336(9)8 3(4)8 18 7
Use Math to Save Money
1. ($2500 0.05) 12=$1500
2. ($2500 0.15) 12=$4500
3. $3000+$450=$3450
4. $2500 0.05=$125 $3450 $125=27.6 28months Hewillneedtosavefor28monthsor2years, 4months.
5. $2500 0.10=$250 $3450 $250=13.8 14months Hewillneedtosavefor14monthsor1year, 2months.
6. 5800 250000514917permonth 12 .$.
7. 5800 250002059667permonth 12 .$.
8. Answerswillvary.
9. Answerswillvary.
10. Answerswillvary.
How Am I Doing? Sections 1.1 1.5 (AvailableonlinethroughMyMathLaborfromthe Instructor’sResourceCenter.)
1. 3+(12)=9
3.
7. 4.5(7.8)=4.5+7.8=12.3
8. 4(5)+9=4+5+9=10 9.
6510 11311
11. 0.072 0.0720.080.9 0.08
12.
51751610 81681717
13. 3 (0.7)(0.7)(0.7)(0.7)0.343
14. 4 (4)(4)(4)(4)(4)256
15. 8 2(2)(2)(2)(2)(2)(2)(2)(2)256
16.
3 22228 333327
17. 34 33278154
18.
201238(1)2048(1) 2048 168 24
19. 1532(6)18(2)(6) 16(6) 10
20. 22 (913)15(3)(4)15(3) 1615(3) 16(5) 11
21. 0.120.6(3)(1.2)(0.5) 0.2(3)(1.2)0.5 0.2(3.6)0.5 3.80.5 3.3
1.6 Exercises
2. Whenwewriteanexpressionwithnumbersand variablessuchas7x,itindicatesthatweare multiplying7by x
4. Itdistributesafactorof a toeachterminsidethe parentheses.Distributemeans“togiveoutto eachmemberofagroup.”
6. Shemadeanerrorwiththesignrules.She shouldmultiply(5)(2)toget+10.Theanswer totheproblemis5x 15y +10.
8. 6(3x 6y)=6(3x)+6(6y)=18x 36y
10. 3(2a 4b)=3(2a)+(3)(4b)=6a +12b
12. 8(5x + y)=8(5x)+8(y)=40x +8y
14. 10(2m n)=10(2m)+10( n)=20m 10n
16. (3y + x)=(1)(3y)+(1)(x)=3y x
18. 3486343836 122418 ()()()()()()() x yxy xy
20. 1.5(265)1.5(2)1.5(6)1.5(5) 397.5 xyxy xy
22. 42 42 42 2 3(27921) 222 (27)(9)(21) 333 18614 aa aa aa
24. 2 (346)(3)(4)(6) 3333 4 2 3 yyyy yxyx xy yy
26. 2 3(2) 3(2)33() 633 aabc aaabac aabac
28. 325432454 12820 (.)()(.)()() . xx x
30. 2 (226)(3)2(3)(2)(3)6(3) 6618 x yxxxyxx xxyx
32. 22 531 531 53 ()() ()()()()() abab aabbabab ababab
34. 22 253 23353 6315 () ()()()()() abab aabbabab ababab
36. 2 2 2 1 15214 3 111 15214 333 4 57 3 () ()()() aa aa aa
38. 2 2 3 0.6(1.22.50.7)
0.6(1.2)(0.6)(2.5)(0.6)(0.7) 0.721.50.42 qqrs qqqrqs qqrqs
40. 850(107)850(10)850(7) 85005950 x yxy xy
Theareais2 85005950 ()ft. xy
42. 2(18003)2(1800)2(3) 36006 x yxxy xxy
Theareais2 36006 ()ft. xxy
Cumulative Review
44. 18(20)36(14)3836(14) 2(14) 16
45. 6 (2)(2)(2)(2)(2)(2)(2)64
46. 27(41)=27+41=14
47. 255(2)(6)5(2)(6)10(6)4
48. 22 (1210)(3)(2)(2)(3)(2) 4(3)(2) 46 10
Classroom Quiz 1.6
1. 6(4x 9y)=6(4x)+6(9y)=24x 54y
2. 2 3(247) 3(2)(3)(4)(3)(7) 61221 xxy xxxyx xxyx
3. 22 4(578) 4(5)(4)(7)(4)(8) 202832 abab abaabbab ababab
1.7 Exercises
2. Liketermsaretermsthathaveidenticalvariables andexponents.
4. Thetwoterms12a and9a areliketerms becausetheybothhavethevariable a withthe exponentofone.
6. Theonlyliketermsare12ab and9ab because theothertwohavedifferentexponentseven thoughtheyhavethesamevariables.
8. 3333 1421142135 () x xxx
10. 3233232 28929878 () bbbbbbb
12. 59655695 114 14 ()() () x bxbxb xb xb
14. 3.10.20.85.3 (3.10.8)(0.25.3) 2.35.1 abab ab ab
16. 1.92.43.88.2 (1.93.8)(2.48.2) 1.910.6 xbxb x b xb
18. 6x 5y 3y +711x 5 =(611)x +(53)y +75 =5x 8y +2
20. 7312878312 15312 () abbcacababbcac abbcac
22. 22 2 2 5766114 (64)(115)76 2613 xxxx xx xx
24. 22 2 2 3912462 (34)(96)122 310 yyyy yy yy
26. 2345 581512 2435 515812 64910 15152424 219 1524 stst s t s t st
28. 22 2 2 2 2317 5438 2137 5348 6567 151588 11 158 yxyx yx yx yx
30. 10562 (11)(106)(52) 2163 rssrrssr rssr rssr
32. 22 2 2 2 2 2 329 2 777 329 2 777 31429 7777 177 77 17 1 7 17 7 abababab abab abab abab abab abab
ISM: Beginning and Intermediate Algebra
34. 8(32)4(35) 24161220 (2420)(1612) 44 xyyx x yyx x y xy
36. 2 22 2 2 32335 69153 61593 2112 ()() ()() aabaab aabaab aab aab
38. 2 22 2 2 43225 128102 121082 210 ()() ()() cdccdc cdccdc cdc cdc
40. 5629113051822 5223018 1712 ()() ()() xxxx x x
42. 2(63)2(87)1261614 2820 xxxx x
Theperimeteris(28x 20)units.
44. 385122 (35)(12)(812) 8320 aabb ab ab
Theperimeteris(8a 3b +20)meters. Cumulative Review
45. 3194131
46. 2918363 31648868
48. 5145315 7371498
Classroom Quiz 1.7
1. 22 2 2 314 5 545 134 5 455 211 45 abababab abab abab
2. 2222 22 22 6.53.87.66.8 (6.57.6)(3.86.8) 14.13 x yxyxyxy xyxy xyxy
3. 3(52)7(23) 1561421 (1514)(621) 2927 x yxy x yxy x y xy
1.8 Exercises
2. If x =6,then 5x 6=5(6)6=306=36.
4. If y =6,then 55 5655510 66(). y
6. If3, 2 x then3515515 2 15 15 2 1530 22 151 or7 22 x
8. If x =8,then35x =35(8)=340=37.
10. If x =2.3,then 6.33x =6.33(2.3)=6.36.9=0.6.
12. If 2 3, x then 21021112 5757or3. 33333 x
14. If x =4,then 223(4)3(4)161228.xx
16. If y =1,then2288(1)8(1)8. y
Chapter 1: Real Numbers and Variables
18. If x =3,then33553527135 ()(). x
20. If x =3,then2222(3)2(9)18. x
22. If x =3,then 22 183183(3)183(9)182745. x
24. If x =2,then2222(2)242. x
26. If x =4,then22 232(4)3(4) 83(16) 848 56.
28. If a =3,then22 2 9(2)9(3)[2(3)] 9(3)(6) 2736 63. aa
30. If 1 3, x then 2 211 595959514. 39 x
32. If a =1and b =4,then 33241244 1244 184 11 ()() () ab
34. If x =3and34, y then 22 113 45345 334 13 945 34 335 1 () () xy
36. If r =2and s =3,then 2222 54(2)5(2)(3)4(3) 43036 2.
38. If a =3, b =2,and c =4,then 3232 2232(3)(2)2(4) 27122(16) 271232
47. aabc
40. If x =2and y =3,then 222(2)2(2)(3) 22(3) 412 6 8 6 41 or1. 33 xxy y
42. A = ab, b =92, a =54 A =(92)(54)=4968 Theareais4968squarefeet.
44. 2 A s oldnew 22 Decrease (23)(20) 529400 129 AA Theareaisdecreasedby129squaremillimeters.
46. 12 1 2(), A abb a =9,1217,20bb 19(37) (9)(2017)166.5 22 A Theareais166.5squareinches.
48. 1 2, A ab a =14, b =19 1 2(14)(19)133 A Theareais133squarefeet.
50. 1 2, A ab a =400, b =280 1 2(400)(280)56,000 A Theareais56,000squarefeet.
Beginning and Intermediate Algebra
52. 5(32),3 9 5(332) 9 5(35) 9 175 9 4 19 9
Yes,thecoatwillbewarmenough.Hercoatis ratedfor 4 19degrees 9 Celsius.
54. 12 2, A r r =14 12 2(3.14)(14)307.72squareinches A
Cost=(1.15)(307.72) 353.88
Thetotalcostis$353.88.
56. 0.62 3642 0.620.62(182.1)112.9 20
Thedistancewasapproximately112.9miles.
Cumulative Review
57. 4 (2)42(2)1642(2) 1622 16
58. 2 2 2 3(2)()() 36 24 x yxyxy x yxyxy xxy
Classroom Quiz 1.8
1. If x =3,then 22 35153(3)5(3)15 3(9)5(3)15 271515 3. xx
2. If 2 3 a and1, 4 b then 21 7474 34 14 1 3 143 33 172 or5. 33 ab
3. If x =3and y =2,then 323223432(3)(2)3(2)4 273664 73. xxyy
1.9 Exercises
2. x +5y = x (5y)=(x 5y)
4. Whenanexpressioncontainsmanygrouping symbols,removetheinnermostgroupingsymbol first.
6. 6y 2(x 5y)=6y 2x +10y =4y 2x
8. 624126487 ()()cdcdcdcdcd
10. 45363420189 132 ()() x yyxxyyx xy
12. 22 32 32 4[32(4)]4[382] 12328 12832
yyyyyy yyy yyy
14. 3(3)2(2)3942 7 x yxyxyxy xy
16. [5(3)12]4(23) 51512812 (58)15(1212) 315 xyx xyx xy xy
18. 222 3[(3)]3[3] 3[3] 39 x yxyyxxyyy xxy xxy
20. 2 322 32 732524 211435852 211243 ()() bbbbb bbbb bbb
Chapter 1: Real Numbers and Variables
22. 222 22 22 2 23[52(2)]23[542] 23[92] 2276 827 bbbbbbbb bbb bbb bb
24. 3a {2[a 4(3a + b)]2}
=3a {2[a 12a 4b]2}
=3a {2[11a 4b]2}
=3a {22a +8b 2}
=3a 22a 8b +2
=19a 8b +2
26. 22 2 2 2 4423444234 44244 4488 163232 {[()]}{[]} {[]} {} x xxxxx xx xx xx
28. 22 22 22 22 2 2 353 353 353 315 314 42 {[()]} {[]} {[]} {} {} xxxx x
Cumulative Review
29. If C =1064.18,then 1832 1810641832 191552432 1947524 . .(.)
FC Themeltingpointis1947.52F.
Classroom Quiz 1.9
1. 3[46(2)]3(4126) 3(86) 2418 x xyxxy xy xy
2. 24242484 2312 624 [()][] [] x xyyxxyy xy xy
Career Exploration Problems
1. P = I E =12A 1.8V=21.6W Thepowerlossis21.6Wperconductor.Since therearetwoconductors,thetotalpowerlossis 2 21.6W=43.2W.
2. E =3% 240V=0.03 240V=7.2V P = I E =24A 7.2V=172.8W
Thepowerlossis172.8W.
3. 120V 06A 200ohms . E I R
Theamountofcurrentflowis0.6A.
4. 413 in.4in.1in.24in. 2 VLWH
30. 2 2 ,380 3.14(380)3.14(144,400)453,416
Arr A
Theareaisapproximately453,416squarefeet.
31. k =0.45p If p =120, k =0.45(120)=54. If p =150, k =0.45(150)=67.5. GreatDanesweighonaveragefrom54to 67.5kg.
32. k =0.45p If p =9, k =0.45(9)=4.05. If p =14, k =0.45(14)=6.3. MiniaturePinschersweighonaverage4.05to 6.3kg.
Thevolumeofoneboxis324in.. 3 3 volumeofonebox7boxes24in.7 168in.
Thetotalvolumeis3 168in..
You Try It
1. a. |5|=5
b. |1|=1
c. |0.5|=0.5
d. 11 44
e. |4.57|=4.57
2. 10+(4)=14
3. a. (5)+11=6
b. 5+(11)=6
4. 4+1+(8)+12+(3)+5 =3+(8)+12+(3)+5 =11+12+(3)+5 =1+(3)+5 =2+5 =3
5. 8(7)=8+7=1
6. a. 9(6)=54
b. 24 (3)=8
c. 48 (8)=6
d. 3(7)=21
7. a. 4 3333381
b. 2 151515225
c. 4 111111 2222216
8. a. 3 22228()()()()
b. 4 44444256 ()()()()()
9. 232 232 4263523 42333 1622793 165493 16543 67 ()() ()() ()
10. a. 4(2a 3)=4(2a)+4(3)=8a 12
b. 5(5x 1)=5(5x)+(5)(1)=25x +5
11. 22 2 2 91037125 91210735 338 ()()() aaabaaab aaab aaab
12. If x =4and y =1,then 2222 63644131 6164131 9643 9643 103 ()()()() ()()()() ()
xxyy
13. 12 1 2 1 504060 2 25100 2500 () ()() () Aabb
Theareais2500squarefeet.
14. 4923849268 4922 4922 472 288 {[()]}{[]} {[]} {} {} xxxx xx xx x x
Chapter 1 Review Problems
1. 6+(2)=8
2. 12+7.8=4.2
3. 5+(2)+(12)=3+(12)=9
4. 3.7+(1.8)=1.9
5. 153521 266663
7. 311916 4122121212 2 12 1 6
8. 2144524 1565303030 15 30 1 2
9. 5(3)=5+3=8
10. 2(15)=2+15=13
11. 30(+3)=30+(3)=33
12. 8(1.2)=8+1.2=9.2
13. 7376135 or1 848888
14. 3592011 86242424
15. 20.81.9=20.8+(1.9)=22.7
16. 151(63)=151+63=88
17. 87 (29)=3
18. 10.4 (0.8)=13
19. 3 4 243244 2432 413
20. 2425105 3534126
55525254 or3 7257577
22. 6(3)(4)=(18)(4)=72
23. 1(4)(3)(5)=4(3)(5)=12(5)=60
24. 15 (5)(4)(3)(4)(3)10(3)30 22
25. 5 (3)(3)(3)(3)(3)(3)243
4 (5)(5)(5)(5)(5)625
3 22228 333327
31. 2 55525 66636
32. 3 333327 444464
33. 3 (5)(4)(3)(2)(5)(4)(3)(8) 20(24) 44
34. 2 804010280401004 2001004 200004 20004 ..(.)... .
35. 2 2 (36)(12)(3)(2) (3)(12)(3)(2) 9(12)(3)(2) 94(2) 98 1
36. 7(3x + y)=7(3x)+7(y)=21x +7y
37. 2 3(63)3(6)3()3(3) 1839 x xyxxxxy xxxy
38. 2 2 2 (7311) 1(7)(1)(3)(1)(11) 7311 xx xx xx
39. 2 222 323 (2)(3) (2)(3)(3)(3) 633 xyxyy xyyxyyy xyxyy
40. 2222 22 2 326865 (38)(25)(66) 53 abbcbcabbcbc abbcbc abbc
41. 9x +11y 12x 15y =3x 4y
42. 22 2 2 413792216 (49)(1322)716 5359 xxxx xx xx
43. 22 2 2 1 14714 2 1 (144)(71)1 2 1 108 2 xxxx xx xx
44. If x =7,then 7x 6=7(7)6=496=55.
45. If x =8,then3377(8)761. 44 x
46. If x =3,then 2234(3)3(3)4 994 4. xx
47. If x =3,then 225935(3)991593.xx
48. If x =1,then 3232 2692(1)(1)6(1)9 2169 0. xxx
49. If a =1, b =5,and c =2,then 224(5)4(1)(2)25817.bac
50. If m =4, M =15, G =1,and r =2,then 22 4(15)(1)6015. (2)4 mMG r
51. If p =6000, r =18%,and3, 4 t then 3 6000(0.18)810. 4 Iprt
Theinterestis$810.
52. 9160 5 9(20)160 5 180160 5 340 5 68 C F
9160 5 9(25)160 5 225160 5 385 5 77 C F
Therangeis68Fto77F.
Ar
53. If r =4,2 23.14(4) 3.14(16) 50.24squarefeet.
Cost(50.24sqft)($1.50/sqft)$75.36 Thetotalcostis$75.36.
54. 180 180(56)3001200 10,0803001200 8580 PSRC
Thedailyprofitis$8580.
55. 12 1 2(), A abb a =200,12700,300bb 1 2(200)(700300)
100(1000) 100,000 A
Cost=2(100,000)=200,000 Theareais2 100000,ftandthecostis $200,000.
56. 1 2, A ab a =3.8, b =5.5 1 2(3.8)(5.5)10.45 A
Cost=66(10.45)=689.70 Theareais2 1045.ftandthecostis$689.70.
57. 5x 7(x 6)=5x 7x +42=2x +42
58. 3(2)4(53)362012 1718 xxxx x
59. 2[3(45)]2(345) 2(15) 210 x x x x
Chapter 1: Real Numbers and Variables
Beginning and Intermediate Algebra
60. 2 3[3(7)]3(321) 3(421) 1263 xxxxxx xx xx
61. 33223222 33223222 33222 33222 2643(23) 264369 (23)6(49)6 56136 xyxyxyxyxyxy xyxyxyxyxyxy xyxyxyxy xyxyxyxy
62. 5(27)3(25) 51035615 103515 x yxy x yxxy xyxy
63. (a +3b)+5[2a b 2(4a b)]
=(a +3b)+5(2a b 8a +2b)
=(a +3b)+5(6a + b)
= a 3b 30a +5b =31a +2b
64. 5{2a [5a b(3+2a)]}
=5{2a [5a 3b 2ab]}
=5{2a 5a +3b +2ab}
=5{3a +3b +2ab}
=15a 15b 10ab
65. 2 2 2 2 3{2[3(2)]} 3[2(36)] 3(236) 3(36) 3918 xxyxy x xxyy xxxyy xxyy xxyy
66. 2{3x +2[x +2y(x 4)]}
=2[3x +2(x +2xy 8y)]
=2(3x +2x +4xy 16y)
=2(5x +4xy 16y)
=10x +8xy 32y
67. 6.3+4=2.3
68. 4+(8)+12=4+12=8
69. 241012227 or1 3515151515
70. 73761 84888
71. 3(4)(8)34(8)7(8)1
72. 1.1(0.2)0.41.10.20.4 0.90.4 0.5
73. 9199811 2or2 1041044040
74. 3.6 (0.45)=8
75. 14.4 (0.06)=240
76. (8.2)(3.1)=25.42
77. 400+1000800=1400800=600 Herscorewas$600.
78. 4 (0.3)(0.3)(0.3)(0.3)(0.3)0.0081
79. 4 0.5(0.5)(0.5)(0.5)(0.5)0.0625
80. 3 9(5)5(2)59(5)5(8)5 455(8)5 45405 55 10
81. 3.80.28.74.3 (3.88.7)(0.24.3) 4.94.1 xyxy x y xy
82. If p =2and q =3,then 22(2)3431 33(3)99 pq q
83. If s =3and t =2,then 474(3)7(2)12142 . 333 st s
84. 9 32, 5 FC C =38.6 9(38.6)32 5 69.4832 101.48 F F F Yourdogdoesnothaveafever;infact,its temperatureisbelownormal.
85. 2 22 2 7(34)3(46) 721281218 731228 xyyy x yyy xyy
Beginning and Intermediate Algebra Chapter 1: Real Numbers and Variables
86. 2{6x 3[7y 2y(3 x)]}
=2{6x 3[7y 6y +2xy]}
=2{6x 3[y +2xy]}
=2{6x 3y 6xy}
=12x +6y +12xy
How Am I Doing? Chapter 1 Test
1. 2.5+6.3+(4.1)=3.8+(4.1)=0.3
2. 5(7)=5+7=2
3. 2142 (7)4 333
4. 5(2)(7)(1)(10)(7)(1)(70)(1)70
5. 12 (3)=4
6. 1.8 (0.6)=3
7. 3 (4)(4)(4)(4)64
8. 2 (1.6)(1.6)(1.6)2.56
9. 4 2222216 3333381
10. 2 (0.2)(2.1)(3)0.46
14. 22 2 2 2 135 6 222 315 6 222 1234 222 15 2 2 abababab abab abab abab
15. 2222 22 22 2.38.13.44.1 (2.34.1)(8.13.4) 1.84.7 x yxyxyxy x yxy xyxy
16. 3(2)4(62)63248 530 aaaa a
17. 5(32)(6)15106 (151)(106) 1416 x yxyxyxy x y xy
18. If x =3and y =4,then 323232533(3)(4)2(4)5 273(9)(4)85 2710885 122. xxyy
0.04(2.1)(3)0.46
0.04(6.3)0.46
0.046.30.46
6.340.46
6.8
11. 3 3 3(46)12 12(4)2 3(8)12(4)2 24(3)2 25
12. 2 5(27)5()5(2)5(7) 51035 xxyxxxyx xxyx
13. 2 222 22323 2(327) 2(3)2(2)2(7) 6414 ababab abaabbabab ababab
19. If x =3,then 22 37113(3)7(3)11 3(9)7(3)11 272111 37.
20. If 1 3 a and1, 2 b then 11 2323 32 23 32 49 66 131 66 or2. ab
21. k =1.61r =1.61(60)=96.6 Youaretravelingat96.6kilometersperhour.
Chapter 1: Real Numbers and Variables
22. 12 1 2(), A abb a =120,12200,180bb 1 2(120)(200180) 60(380) 22,800 A
Theareais22,800squarefeet.
23. 1 2, A ab a =6.8, b =8.5 1 2(6.8)(8.5)28.9 A
Cost=0.80(28.9)=23.12
Thecostis$23.12.
24. A =60 10=600 6001cansqft3cans 200sqft Youshouldbuy3cans.
25. 222 2 2 3[2(2)3]3[243] 3[27] 3621 x yxyyxxyyy xxyy xxyy
26. 22 22 3{[3(1)]}3[(3)] 3(3) 3933 ababaababab aabbab aabbab
Beginning and Intermediate Algebra