,SOLUTION MANUAL Prealgebra & Introductory
Algebra, 6th edition Elayn Martin-Gay
Notes
1- The file is chapter after chapter.
2- We have shown you few pages sample.
3- The file contains all Appendix and Excel sheet
if it exists.
4- We have all what you need, we make update
at every time. There are many new editions
waiting you.
5- If you think you purchased the wrong file You
can contact us at every time, we can replace it
with true one.
Our email:
, INSTRUCTOR’S
SOLUTIONS MANUAL
C TRIMBLE & ASSOCIATES
PREALGEBRA AND
INTRODUCTORY ALGEBRA
SIXTH EDITION
Elayn Martin-Gay
University of New Orleans
,Copyright © 2025, 2019, 2015 by Pearson Education, Inc. or its affiliates. All Rights Reserved. Manufactured in the
United States of America. This publication is protected by copyright, and permission should be obtained from the
publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any
means, electronic, mechanical, photocopying, recording, or otherwise. For information regarding permissions, request
forms, and the appropriate contacts within the Pearson Education Global Rights and Permissions department, please
visit www.pearsoned.com/permissions/.
PEARSON and MYLAB are exclusive trademarks owned by Pearson Education, Inc. or its affiliates in the U.S.
and/or other countries.
Unless otherwise indicated herein, any third-party trademarks, logos, or icons that may appear in this work are the
property of their respective owners, and any references to third-party trademarks, logos, icons, or other trade dress are
for demonstrative or descriptive purposes only. Such references are not intended to imply any sponsorship,
endorsement, authorization, or promotion of Pearson’s products by the owners of such marks, or any relationship
between the owner and Pearson Education, Inc., or its affiliates, authors, licensees, or distributors.
PPID: A103000323530
, Contents
Chapter 1 1
Chapter 2 42
Chapter 3 71
Chapter 4 101
Chapter 5 164
Chapter 6 209
Chapter 7 253
Chapter 8 284
Chapter 9 324
Chapter 10 368
Chapter 11 414
Chapter 12 454
Chapter 13 507
Chapter 14 569
Chapter 15 613
Chapter 16 647
Appendix 698
Practice Final Exam 704
,
, Chapter 1
Section 1.2 Practice Exercises 5. In a whole number, each group of 3 digits is
called a period.
1. The place value of the 8 in 38,760,005 is
millions. 6. The place value of the digit 4 in the whole
number 264 is ones.
2. The place value of the 8 in 67,890 is hundreds.
7. hundreds
3. The place value of the 8 in 481,922 is ten-
thousands. 8. To read (or write) a number, read from left to
right.
4. 54 is written as fifty-four.
9. 80,000
5. 678 is written as six hundred seventy-eight.
10. Dachsund
6. 93,205 is written as ninety-three thousand, two
hundred five. Exercise Set 1.2
7. 679,430,105 is written as six hundred seventy- 2. The place value of the 5 in 905 is ones.
nine million, four hundred thirty thousand, one
hundred five. 4. The place value of the 5 in 6527 is hundreds.
8. Thirty-seven in standard form is 37. 6. The place value of the 5 in 79,050,000 is ten-
thousands.
9. Two hundred twelve in standard form is 212.
8. The place value of the 5 in 51,682,700 is ten-
10. Eight thousand, two hundred seventy-four in millions.
standard form is 8,274 or 8274.
10. 316 is written as three hundred sixteen.
11. Five million, fifty-seven thousand, twenty-six in
standard form is 5,057,026. 12. 5445 is written as five thousand, four hundred
forty-five.
12. 4,026,301
= 4,000,000 + 20,000 + 6000 + 300 + 1 14. 42,009 is written as forty-two thousand, nine.
13. a. Find Australia in the “Country” column. 16. 3,204,000 is written as three million, two
Read from left to right until the “bronze” hundred four thousand.
column is reached. Australia won
22 bronze medals. 18. 47,033,107 is written as forty-seven million,
thirty-three thousand, one hundred seven.
b. Find the countries for which the entry in the
“Total” column is greater than 60. The 20. 254 is written as two hundred fifty-four.
United States, China, ROC, and Great
Britain won more than 60 medals. 22. 105,447 is written as one hundred five thousand,
four hundred forty-seven.
Vocabulary, Readiness & Video Check 1.2
24. 1,110,000,000 is written as one billion, one
1. The numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, hundred ten million.
... are called whole numbers.
26. 11,239 is written as eleven thousand, two
2. The number 1286 is written in standard form. hundred thirty-nine.
3. The number “twenty-one” is written in words. 28. 202,700 is written as two hundred two thousand,
seven hundred.
4. The number 900 + 60 + 5 is written in expanded
form. 30. Four thousand, four hundred sixty-eight in
standard form is 4468.
Copyright © 2025 Pearson Education, Inc. 1
,Chapter 1: The Whole Numbers ISM: Prealgebra and Introductory Algebra
32. Seventy-three thousand, two in standard form is 74. answers may vary
73,002.
76. A quadrillion in standard form is
34. Sixteen million, four hundred five thousand, 1,000,000,000,000,000.
sixteen in standard form is 16,405,016.
Section 1.3 Practice Exercises
36. Two million, twelve in standard form is
2,000,012. 1. 4135
+ 252
38. Six hundred forty thousand, eight hundred 4387
eighty-one in standard form is 640,881.
1 1 11
40. Two hundred thirty-four thousand in standard
2. 47,364
form is 234,000.
+ 135,898
42. One thousand, eight hundred fifteen in standard 183, 262
form is 1815.
3. Notice 12 + 8 = 20 and 4 + 6 = 10.
44. Two hundred sixty million, one hundred thirty- 12 + 4 + 8 + 6 + 5 = 20 + 10 + 5 = 35
eight thousand, five hundred sixty-nine dollars in
standard form is $260,138,569. 12 2
4. 6432
46. Seven hundred fifteen in standard form is 715. 789
48. 789 = 700 + 80 + 9 54
+ 28
50. 6040 = 6000 + 40 7303
52. 20,215 = 20,000 + 200 + 10 + 5 5. a. 14 − 6 = 8 because 8 + 6 = 14.
54. 99,032 = 90,000 + 9000 + 30 + 2 b. 20 − 8 = 12 because 12 + 8 = 20
56. 47,703,029 = 40,000,000 + 7,000,000 + 700,000
c. 93 − 93 = 0 because 0 + 93 = 93.
+ 3000 + 20 + 9
58. Mount Baker erupted in 1792, which is in d. 42 − 0 = 42 because 42 + 0 = 42.
standard form.
6. a. 9143 Check: 9021
60. Mount Shasta and Mount St. Helens have each − 122 + 122
had two eruptions listed. 9021 9143
62. Mount St. Helens has an eruption listed in 1980. b. 978 Check: 127
All other eruptions listed in the table occurred − 851 + 851
before this one.
127 978
64. More Golden retrievers are registered than
8 17
German shepherds.
7. a. 69 7 Check: 648
66. French bulldogs are second in popularity. 24 is −49 + 49
written as twenty-four. 64 8 697
68. The maximum height of an average-size standard
2 12
dachsund is 9 inches.
b. 326 Check: 81
70. The largest number is 77,753. − 245 + 245
81 326
72. Yes
2 Copyright © 2025 Pearson Education, Inc.
,ISM: Prealgebra and Introductory Algebra Chapter 1: The Whole Numbers
c. 1234 Check: 412 7. 865 − 95 = 770
− 822 + 822
412 1234 8. 76 − 27 = 49
9 9. 147 − 38 = 109
3 1010
10. 366 − 87 = 279
8. a. 40 0 Check: 236
−1 6 4 + 164 11. 9625 − 647 = 8978
2 3 6 400
12. 10,711 − 8925 = 1786
9
91010 Vocabulary, Readiness & Video Check 1.3
b. 10 0 0 Check: 238 1. The sum of 0 and any number is the same
−762 + 762 number.
238 1000
2. In 35 + 20 = 55, the number 55 is called the sum
9. 2 cm + 8 cm + 15 cm + 5 cm = 30 cm and 35 and 20 are each called an addend.
The perimeter is 30 centimeters.
3. The difference of any number and that same
10. 647 + 647 + 647 = 1941 number is 0.
The perimeter is 1941 feet.
4. The difference of any number and 0 is the same
11. 15, 759 number.
− 458
5. In 37 − 19 = 18, the number 37 is the minuend,
15, 301 the 19 is the subtrahend, and the 18 is the
The radius of Neptune is 15,301 miles. difference.
12. a. The country with the fewest threatened 6. The distance around a polygon is called its
amphibians corresponds to the shortest bar, perimeter.
which is Peru.
7. Since 7 + 10 = 10 + 7, we say that changing the
b. To find the total number of threatened order in addition does not change the sum. This
amphibians for Brazil, Peru, and Mexico, we property is called the commutative property of
add. addition.
110
78 8. Since (3 + 1) + 20 = 3 + (1 + 20), we say that
+ 191 changing the grouping in addition does not
change the sum. This property is called the
379
associative property of addition.
The total number of threatened amphibians
for Brazil, Peru, and Mexico is 379. 9. To add whole numbers, we line up place values
and add from right to left.
Calculator Explorations
10. We cannot take 7 from 2 in the ones place, so we
1. 89 + 45 = 134
borrow one ten from the tens place and move it
2. 76 + 97 = 173 over to the ones place to give us 10 + 2, or 12.
3. 285 + 55 = 340 11. triangle; 3
4. 8773 + 652 = 9425 12. To find the additional money needed to
purchase, subtract the savings account amount
5. 985 + 1210 + 562 + 77 = 2834 from the purchase price.
6. 465 + 9888 + 620 + 1550 = 12,523
Copyright © 2025 Pearson Education, Inc. 3
, Chapter 1: The Whole Numbers ISM: Prealgebra and Introductory Algebra
Exercise Set 1.3 111
20. 26
2. 27 582
+ 31 4 763
58 + 62,511
67,882
4. 37
+ 542 1 11 2 1 2
579 22. 504, 218
321,920
6. 23 38,507
45 + 594, 687
+ 30
1, 459,332
98
24. 957 Check: 700
8. 236
− 257 + 257
+ 6243
700 957
6479
1
1
26. 55 Check: 26
10. 17, 427
− 29 + 29
+ 821, 059
26 55
838, 486
11
12. 3
28. 674 Check: 375
5
− 299 + 299
8
375 674
5
+7 11
28 30. 300 Check: 151
− 149 + 149
22
14. 64 151 300
28
1
56
32. 5349 Check: 4629
25
− 720 + 720
+ 32
4629 5349
205
1
11 2
34. 724 Check: 708
16. 16
− 16 + 16
1056
748 708 724
+ 7770
1
9590 36. 1983 Check: 69
− 1914 + 1914
1 111
18. 6789 69 1983
4321
+ 5555
16, 665
4 Copyright © 2025 Pearson Education, Inc.
Algebra, 6th edition Elayn Martin-Gay
Notes
1- The file is chapter after chapter.
2- We have shown you few pages sample.
3- The file contains all Appendix and Excel sheet
if it exists.
4- We have all what you need, we make update
at every time. There are many new editions
waiting you.
5- If you think you purchased the wrong file You
can contact us at every time, we can replace it
with true one.
Our email:
, INSTRUCTOR’S
SOLUTIONS MANUAL
C TRIMBLE & ASSOCIATES
PREALGEBRA AND
INTRODUCTORY ALGEBRA
SIXTH EDITION
Elayn Martin-Gay
University of New Orleans
,Copyright © 2025, 2019, 2015 by Pearson Education, Inc. or its affiliates. All Rights Reserved. Manufactured in the
United States of America. This publication is protected by copyright, and permission should be obtained from the
publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any
means, electronic, mechanical, photocopying, recording, or otherwise. For information regarding permissions, request
forms, and the appropriate contacts within the Pearson Education Global Rights and Permissions department, please
visit www.pearsoned.com/permissions/.
PEARSON and MYLAB are exclusive trademarks owned by Pearson Education, Inc. or its affiliates in the U.S.
and/or other countries.
Unless otherwise indicated herein, any third-party trademarks, logos, or icons that may appear in this work are the
property of their respective owners, and any references to third-party trademarks, logos, icons, or other trade dress are
for demonstrative or descriptive purposes only. Such references are not intended to imply any sponsorship,
endorsement, authorization, or promotion of Pearson’s products by the owners of such marks, or any relationship
between the owner and Pearson Education, Inc., or its affiliates, authors, licensees, or distributors.
PPID: A103000323530
, Contents
Chapter 1 1
Chapter 2 42
Chapter 3 71
Chapter 4 101
Chapter 5 164
Chapter 6 209
Chapter 7 253
Chapter 8 284
Chapter 9 324
Chapter 10 368
Chapter 11 414
Chapter 12 454
Chapter 13 507
Chapter 14 569
Chapter 15 613
Chapter 16 647
Appendix 698
Practice Final Exam 704
,
, Chapter 1
Section 1.2 Practice Exercises 5. In a whole number, each group of 3 digits is
called a period.
1. The place value of the 8 in 38,760,005 is
millions. 6. The place value of the digit 4 in the whole
number 264 is ones.
2. The place value of the 8 in 67,890 is hundreds.
7. hundreds
3. The place value of the 8 in 481,922 is ten-
thousands. 8. To read (or write) a number, read from left to
right.
4. 54 is written as fifty-four.
9. 80,000
5. 678 is written as six hundred seventy-eight.
10. Dachsund
6. 93,205 is written as ninety-three thousand, two
hundred five. Exercise Set 1.2
7. 679,430,105 is written as six hundred seventy- 2. The place value of the 5 in 905 is ones.
nine million, four hundred thirty thousand, one
hundred five. 4. The place value of the 5 in 6527 is hundreds.
8. Thirty-seven in standard form is 37. 6. The place value of the 5 in 79,050,000 is ten-
thousands.
9. Two hundred twelve in standard form is 212.
8. The place value of the 5 in 51,682,700 is ten-
10. Eight thousand, two hundred seventy-four in millions.
standard form is 8,274 or 8274.
10. 316 is written as three hundred sixteen.
11. Five million, fifty-seven thousand, twenty-six in
standard form is 5,057,026. 12. 5445 is written as five thousand, four hundred
forty-five.
12. 4,026,301
= 4,000,000 + 20,000 + 6000 + 300 + 1 14. 42,009 is written as forty-two thousand, nine.
13. a. Find Australia in the “Country” column. 16. 3,204,000 is written as three million, two
Read from left to right until the “bronze” hundred four thousand.
column is reached. Australia won
22 bronze medals. 18. 47,033,107 is written as forty-seven million,
thirty-three thousand, one hundred seven.
b. Find the countries for which the entry in the
“Total” column is greater than 60. The 20. 254 is written as two hundred fifty-four.
United States, China, ROC, and Great
Britain won more than 60 medals. 22. 105,447 is written as one hundred five thousand,
four hundred forty-seven.
Vocabulary, Readiness & Video Check 1.2
24. 1,110,000,000 is written as one billion, one
1. The numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, hundred ten million.
... are called whole numbers.
26. 11,239 is written as eleven thousand, two
2. The number 1286 is written in standard form. hundred thirty-nine.
3. The number “twenty-one” is written in words. 28. 202,700 is written as two hundred two thousand,
seven hundred.
4. The number 900 + 60 + 5 is written in expanded
form. 30. Four thousand, four hundred sixty-eight in
standard form is 4468.
Copyright © 2025 Pearson Education, Inc. 1
,Chapter 1: The Whole Numbers ISM: Prealgebra and Introductory Algebra
32. Seventy-three thousand, two in standard form is 74. answers may vary
73,002.
76. A quadrillion in standard form is
34. Sixteen million, four hundred five thousand, 1,000,000,000,000,000.
sixteen in standard form is 16,405,016.
Section 1.3 Practice Exercises
36. Two million, twelve in standard form is
2,000,012. 1. 4135
+ 252
38. Six hundred forty thousand, eight hundred 4387
eighty-one in standard form is 640,881.
1 1 11
40. Two hundred thirty-four thousand in standard
2. 47,364
form is 234,000.
+ 135,898
42. One thousand, eight hundred fifteen in standard 183, 262
form is 1815.
3. Notice 12 + 8 = 20 and 4 + 6 = 10.
44. Two hundred sixty million, one hundred thirty- 12 + 4 + 8 + 6 + 5 = 20 + 10 + 5 = 35
eight thousand, five hundred sixty-nine dollars in
standard form is $260,138,569. 12 2
4. 6432
46. Seven hundred fifteen in standard form is 715. 789
48. 789 = 700 + 80 + 9 54
+ 28
50. 6040 = 6000 + 40 7303
52. 20,215 = 20,000 + 200 + 10 + 5 5. a. 14 − 6 = 8 because 8 + 6 = 14.
54. 99,032 = 90,000 + 9000 + 30 + 2 b. 20 − 8 = 12 because 12 + 8 = 20
56. 47,703,029 = 40,000,000 + 7,000,000 + 700,000
c. 93 − 93 = 0 because 0 + 93 = 93.
+ 3000 + 20 + 9
58. Mount Baker erupted in 1792, which is in d. 42 − 0 = 42 because 42 + 0 = 42.
standard form.
6. a. 9143 Check: 9021
60. Mount Shasta and Mount St. Helens have each − 122 + 122
had two eruptions listed. 9021 9143
62. Mount St. Helens has an eruption listed in 1980. b. 978 Check: 127
All other eruptions listed in the table occurred − 851 + 851
before this one.
127 978
64. More Golden retrievers are registered than
8 17
German shepherds.
7. a. 69 7 Check: 648
66. French bulldogs are second in popularity. 24 is −49 + 49
written as twenty-four. 64 8 697
68. The maximum height of an average-size standard
2 12
dachsund is 9 inches.
b. 326 Check: 81
70. The largest number is 77,753. − 245 + 245
81 326
72. Yes
2 Copyright © 2025 Pearson Education, Inc.
,ISM: Prealgebra and Introductory Algebra Chapter 1: The Whole Numbers
c. 1234 Check: 412 7. 865 − 95 = 770
− 822 + 822
412 1234 8. 76 − 27 = 49
9 9. 147 − 38 = 109
3 1010
10. 366 − 87 = 279
8. a. 40 0 Check: 236
−1 6 4 + 164 11. 9625 − 647 = 8978
2 3 6 400
12. 10,711 − 8925 = 1786
9
91010 Vocabulary, Readiness & Video Check 1.3
b. 10 0 0 Check: 238 1. The sum of 0 and any number is the same
−762 + 762 number.
238 1000
2. In 35 + 20 = 55, the number 55 is called the sum
9. 2 cm + 8 cm + 15 cm + 5 cm = 30 cm and 35 and 20 are each called an addend.
The perimeter is 30 centimeters.
3. The difference of any number and that same
10. 647 + 647 + 647 = 1941 number is 0.
The perimeter is 1941 feet.
4. The difference of any number and 0 is the same
11. 15, 759 number.
− 458
5. In 37 − 19 = 18, the number 37 is the minuend,
15, 301 the 19 is the subtrahend, and the 18 is the
The radius of Neptune is 15,301 miles. difference.
12. a. The country with the fewest threatened 6. The distance around a polygon is called its
amphibians corresponds to the shortest bar, perimeter.
which is Peru.
7. Since 7 + 10 = 10 + 7, we say that changing the
b. To find the total number of threatened order in addition does not change the sum. This
amphibians for Brazil, Peru, and Mexico, we property is called the commutative property of
add. addition.
110
78 8. Since (3 + 1) + 20 = 3 + (1 + 20), we say that
+ 191 changing the grouping in addition does not
change the sum. This property is called the
379
associative property of addition.
The total number of threatened amphibians
for Brazil, Peru, and Mexico is 379. 9. To add whole numbers, we line up place values
and add from right to left.
Calculator Explorations
10. We cannot take 7 from 2 in the ones place, so we
1. 89 + 45 = 134
borrow one ten from the tens place and move it
2. 76 + 97 = 173 over to the ones place to give us 10 + 2, or 12.
3. 285 + 55 = 340 11. triangle; 3
4. 8773 + 652 = 9425 12. To find the additional money needed to
purchase, subtract the savings account amount
5. 985 + 1210 + 562 + 77 = 2834 from the purchase price.
6. 465 + 9888 + 620 + 1550 = 12,523
Copyright © 2025 Pearson Education, Inc. 3
, Chapter 1: The Whole Numbers ISM: Prealgebra and Introductory Algebra
Exercise Set 1.3 111
20. 26
2. 27 582
+ 31 4 763
58 + 62,511
67,882
4. 37
+ 542 1 11 2 1 2
579 22. 504, 218
321,920
6. 23 38,507
45 + 594, 687
+ 30
1, 459,332
98
24. 957 Check: 700
8. 236
− 257 + 257
+ 6243
700 957
6479
1
1
26. 55 Check: 26
10. 17, 427
− 29 + 29
+ 821, 059
26 55
838, 486
11
12. 3
28. 674 Check: 375
5
− 299 + 299
8
375 674
5
+7 11
28 30. 300 Check: 151
− 149 + 149
22
14. 64 151 300
28
1
56
32. 5349 Check: 4629
25
− 720 + 720
+ 32
4629 5349
205
1
11 2
34. 724 Check: 708
16. 16
− 16 + 16
1056
748 708 724
+ 7770
1
9590 36. 1983 Check: 69
− 1914 + 1914
1 111
18. 6789 69 1983
4321
+ 5555
16, 665
4 Copyright © 2025 Pearson Education, Inc.
