22
Math 40 Prealgebra Section 4.1 4.8 HOMEWORK KEY 1 2015 Carreon Section 4.1 1. 2. 3. 4. 5. 6. -4 -3 -2 -1 0 1 2 3 4 -4 -3 -2 9 8 -1 1 8 0 1 8 1 9 8 2 3 4 -4 7 2 -3 -2 -1 1 2 0 1 2 1 2 3 7 2 4 -4 20 6 -3 -2 -1 5 6 0 5 6 1 2 3 20 6 4 -4 -3 11 4 -2 6 4 -1 0 1 6 4 2 11 4 3 4 -4 27 8 -3 -2 14 8 -1 0 1 14 8 2 3 27 8 4 8 3 1 3 8 3 1 3

Prealgebra Section 4.1 4.8 HOMEWORK KEY · Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY 6 2015 Carreon 17. 2 9 18. 3 8 19. 49 20 20. 16 5 21. 5 16 22. 11 64 23. 35 24 24

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  • Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY

    1 2015 Carreon

    Section 4.1

    1.

    2.

    3.

    4.

    5.

    6.

    -4 -3 -2 -1 0 1 2 3 4

    -4 -3 -2 9

    8 -1

    1

    8 0

    1

    8 1

    9

    8 2 3 4

    -4 7

    2 -3 -2 -1

    1

    2 0

    1

    2 1 2 3

    7

    2 4

    -4 20

    6 -3 -2 -1

    5

    6 0

    5

    6 1 2 3

    20

    6 4

    -4 -3 11

    4 -2

    6

    4 -1 0 1

    6

    4 2

    11

    4 3 4

    -4 27

    8 -3 -2

    14

    8 -1 0 1

    14

    8 2 3

    27

    8 4

    8

    3

    1

    3

    8

    3

    1

    3

  • Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY

    2 2015 Carreon

    7. 18

    24 8.

    3

    24

    9. 4

    20 10.

    14

    20

    11. 8

    18

    12.

    15

    18

    13. 12

    36

    14.

    4

    36

    15. 48

    42 16.

    49

    42

    17. 88

    48 18.

    54

    48

    19. 9

    7 20.

    9

    7

    21. 1

    5

    22.

    1

    3

    23. 9

    6

    24.

    9

    8

    25. 2

    6 26.

    3

    9

    27. 28

    7 28.

    88

    11

    29. 90

    10

    x 30.

    40

    8

    x

    31. 6

    10

    x

    x

    32.

    14

    16

    x

    x

    33. 24

    21

    x

    x

    34.

    55

    33

    x

    x

    35. 60

    6

    n

    n 36.

    45

    5

    n

    n

  • Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY

    3 2015 Carreon

    37. 6

    9

    n

    n

    38.

    20

    24

    n

    n

    39. 20

    15

    n

    n

    40.

    24

    21

    n

    n

    41. 1

    4 42.

    1

    5

    43. 1

    4 44.

    1

    6

    45. 5

    4 46. 2

    47. 4 48. 8

    49. 2

    3 50.

    3

    5

    51. 4

    3 52.

    5

    4

    53. 1

    3 54.

    1

    4

    55. 1

    4 56.

    3

    7

    57. 7

    5 58.

    8

    9

    59. 9

    2 60.

    9

    2

    61. 3

    4 62.

    7

    9

    63. 5

    8 64.

    6

    7

    65. 10

    7 66.

    8

    7

  • Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY

    4 2015 Carreon

    67. 1

    3 68.

    1

    2

    69. 3 70. 6

    71. 9

    10 72.

    9

    14

    73. 3

    4 74.

    7

    8

    75. 8

    9 76.

    7

    5

    77. 9

    5x 78.

    5

    2x

    79. 4

    a 80.

    8

    a

    81. 5

    18c

    82.

    7

    26

    c

    83. 23

    25x 84.

    32

    35

    x

    85. 1

    3 86.

    1

    4

    87. 6

    17

    x 88.

    7

    16

    x

    89. 5

    9 y

    90.

    7

    11

    x

    91.

    3

    3

    7

    11

    a

    b 92.

    3

    3

    3

    13

    b

    a

    93. 3

    y

    94.

    4

    y

  • Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY

    5 2015 Carreon

    95. 2

    k

    m 96.

    5

    3

    k

    m

    97. 1

    8cd 98.

    1

    7d

    99. 6x 100. 6xy

    101. 2 3

    8

    3ab c

    102.

    3 2

    56

    27a b c

    103. 3

    5

    a

    d 104.

    6

    ac

    bd

    105. 63

    50

    z

    x 106.

    324

    17

    xz

    Section 4.2

    1. 3

    20 2.

    15

    32

    3. 99

    56 4.

    36

    35

    5. 1

    24 6.

    1

    40

    7. 1 8. 3

    2

    9. 28 10. 24

    11. 11

    5 12.

    1

    9

    13. 7

    4 14. 1

    15. 2

    3 16.

    1

    2

  • Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY

    6 2015 Carreon

    17. 2

    9 18.

    3

    8

    19. 49

    20 20.

    16

    5

    21. 5

    16 22.

    11

    64

    23. 35

    24 24.

    7

    12

    25. 72

    77 26.

    85

    39

    27. 33

    40 28.

    216

    5

    x

    29. 4

    25

    xy 30.

    10

    3ac

    31. 4

    7

    c 32.

    3

    7 y

    33.

    439

    80

    x 34.

    3

    8

    39a

    35. 24

    7c 36.

    11

    64y

    37.

    256

    5

    a 38.

    77

    102

    39. 3

    48

    133x 40.

    223

    16

    y

    41.

    2112

    65

    c 42.

    314

    11

    a

    43.

    3

    2

    5

    9

    c

    a 44.

    3

    16

    21

    x

    y

  • Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY

    7 2015 Carreon

    45. 1

    12xy 46. 9ac

    47. 3

    2

    3c 48.

    4

    y

    49. 8

    21 50.

    35

    36

    51. 2

    5ac 52.

    10

    21

    xy

    53. $1,470 54. $2,730

    55. $352 56. $304

    57. $730 58. $5,400

    59. $25,200 60. $56,000

    61. $45,000

    Section 4.3

    1. 5

    12 2. 15

    3. 8

    7 4.

    2

    9

    5. 18 6. 4

    3

    7. 1

    16 8.

    1

    23

    9. 1

    39 10.

    1

    17

    11. 24

    23 12.

    29

    28

  • Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY

    8 2015 Carreon

    13. 4

    7 14.

    3

    5

    15. 4

    25 16. 24

    17. 4 18. 5

    19. 9

    2 20.

    4

    3

    21. 18 22. 4

    45

    23. 35

    8 24.

    28

    45

    25. 7

    36 26.

    7

    45

    27. 2

    21

    x 28.

    8

    3

    a

    29. 2

    18

    c 30.

    3

    40

    a

    31. 63

    22

    y 32.

    8

    11

    x

    33.

    3121

    78

    x 34.

    4

    2

    39

    28

    y

    x

    35. 27

    16a 36.

    3

    25

    2c

    37. 3

    1

    6c 38.

    2

    1

    9a

    39. 5

    14

    y 40.

    6

    16

    y

  • Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY

    9 2015 Carreon

    41. 212x

    y 42.

    29a

    c

    43. 2

    140

    3c 44.

    2

    7

    18x

    45. 5

    6

    y

    x 46.

    3

    2

    a

    c

    47. 24

    5

    a c 48.

    23

    16

    yx

    49. 128 Servings 50. 96

    51. 6 52. 15

    53. 12 burgers 54. 6 burgers 55. 48 light sabers 56. 5 trips

    57. 6 layers 58. 40 laps

    Section 4.4

    1. 1

    4 2.

    5

    12

    3. 7

    8 4. 1

    5. 1

    2 6.

    1

    2

    7. 1 8. 17

    15

    9. 2

    21 10.

    7

    16

  • Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY

    10 2015 Carreon

    11. 1 12. 4

    5

    13. 3

    2 14. 1

    15. 5

    9 16.

    1

    4

    17. 1

    3 18.

    2

    3

    19. 4 20. 2

    21. 0 22. 7

    10

    23. 19

    5 24. 2

    25. 6

    7 26. 0

    27. 6

    7 28. 0

    29. 1 30. 7

    8

    31. 3

    16

    32.

    4

    3

    33. 5

    x 34.

    8

    u

    35. 5

    10

    a 36.

    4

    18

    n

    37. 1

    c 38.

    2

    x

    39. 3

    u 40. 0

  • Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY

    11 2015 Carreon

    41. 2

    x

    m 42.

    2

    n

    43. 9

    5

    a 44.

    6 3

    5

    a

    45. 4 2

    3

    a

    c

    46.

    2a

    c

    47. x

    n 48. 0

    49. 45 50. 30 51. 24 52. 60

    53. 18 54. 30

    55. 40 56. 48

    57. 28 58. 45

    59. 72 60. 56 61. 20 62. 36

    63. 84 64. 30

    65. 108 66. 72

    67. 140 68. 54

    69. 36 70. 160 71. 378 72. 56

    73. 144 74. 216

    75. 144 76. 120

    77. 1225 78. 900

    79. 2n 80.

    4x

    81. 2x 82. 3n

  • Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY

    12 2015 Carreon

    83. 18m 84. 12a

    85. 34a 86.

    23m

    87. 5n 88. 6x

    89. 3

    2 90.

    9

    8

    91. 1

    2 92.

    5

    9

    93. 7

    18 94.

    13

    12

    95. 11

    20 96.

    1

    40

    97. 1

    5 98.

    1

    10

    99. 3

    8 100.

    1

    6

    101. 1

    6 102.

    7

    48

    103. 33

    32 104.

    34

    35

    105. 5

    48 106.

    1

    8

    107. 21

    20 108.

    19

    24

    109. 43

    42 110.

    19

    24

    111. 5

    12 112.

    3

    8

    113. 41

    32 114.

    7

    6

  • Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY

    13 2015 Carreon

    115. 29

    72 116.

    29

    36

    117. 12 14

    21

    x 118.

    5 6

    10

    x

    119. 2

    3

    u 120.

    3

    10

    u

    121. 4 27

    9

    n

    n

    122.

    3 8

    4

    n

    n

    123. 7

    10

    a 124.

    4

    3

    a

    125. 72 7

    8

    c

    c

    126.

    14 3

    7

    c

    c

    127. 7

    3x 128.

    11

    4x

    129. 9

    2u 130.

    1

    6u

    131. 2

    1n

    n

    132.

    2

    1 n

    n

    133. 2

    24 8

    6

    c

    c

    134.

    2

    12 6

    5

    c

    c

    135. 2

    9 10

    30

    a

    a

    136.

    2

    25 18

    30

    a

    a

    137. 1

    6horsepower stronger 138. Total weight:

    31

    30tons, No

    139. 3

    4 acres remained 140. 1 miles of fencing

    141. 11

    12mile of fencing 142.

    11

    8cups or

    31

    8cups

  • Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY

    14 2015 Carreon

    Section 4.5

    1. 11

    4 2.

    7

    2

    3. 77

    8 4.

    8

    3

    5. 39

    8 6.

    53

    16

    7. 31

    6 8.

    37

    5

    9. 17

    12 10.

    26

    3

    11. 37

    10 12.

    28

    5

    13. 17

    9 14.

    35

    2

    15. 31

    2 16.

    39

    4

    17. 1

    42

    18. 1

    25

    19. 1

    14

    20. 2

    13

    21. 3

    15

    22. 7

    28

    23. 5

    16

    24. 5

    18

    25. 3

    216

    26. 2

    113

    27. 5

    96

    28. 1

    59

    29. 7

    18

    30. 1

    212

  • Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY

    15 2015 Carreon

    31. 1

    93

    32. 5

    13

    33. 12 34. 1

    48

    35. 7

    311

    36. 1

    357

    37. 1

    34

    38. 3

    14

    39. 1

    86

    40. 11

    115

    41. 1 42. 3

    2420

    43. 3 44. 1

    42

    45. 1

    222

    46. 7

    78

    47. 1

    12

    48. 1

    35

    49. 7

    1110

    50. 31

    32

    51. 7

    1215

    52. 5

    58

    53. 19

    32 54. 2

    55. 21

    5132

    56. 7

    2115

    57. 252cm 58. 2

    119

    4in

  • Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY

    16 2015 Carreon

    59. 25

    208

    ft 60. 21

    182

    yd

    61. 21

    388

    m 62. 237

    472

    ft

    63. 23

    14

    in 64. 221

    6100

    cm

    65. 217

    1072

    yd 66. 219

    1220

    m

    67. 7 trips 68. 3

    184

    yards

    69. 3cups 70. 1

    853

    loads

    71. 46bottles 72. 1

    4rounds

    73. 100 pounds 74. 1

    662

    cubic yards

    75. 10cups 76. 9teaspoons

    Section 4.6

    1.

    : 5

    1: 5

    5

    estimate

    actual

    2.

    : 13

    3: 13

    5

    estimate

    actual

    3.

    : 2

    1: 2

    4

    estimate

    actual

    4.

    :12

    1:11

    2

    estimate

    actual

  • Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY

    17 2015 Carreon

    5.

    : 4

    6: 3

    11

    estimate

    actual

    6.

    : 4

    6: 3

    11

    estimate

    actual

    7.

    : 15

    1: 14

    2

    estimate

    actual

    8.

    :15

    1:14

    2

    estimate

    actual

    9.

    :3

    11:2

    12

    estimate

    actual 10.

    :2

    13:1

    24

    estimate

    actual

    11.

    :1

    1:1

    12

    estimate

    actual 12.

    :5

    7:5

    12

    estimate

    actual

    13.

    : 1

    2: 1

    5

    estimate

    actual

    14.

    :5

    3:4

    8

    estimate

    actual

    15.

    :3

    8:3

    15

    estimate

    actual 16.

    : 15

    7: 14

    12

    estimate

    actual

    17.

    : 9

    37: 9

    60

    estimate

    actual

    18.

    : 9

    17: 8

    20

    estimate

    actual

    19.

    :2

    13:1

    15

    estimate

    actual 20.

    : 1

    1: 1

    3

    estimate

    actual

    21.

    : 4

    1: 4

    4

    estimate

    actual

    22.

    :9

    3:8

    4

    estimate

    actual

    23.

    :11

    7:10

    8

    estimate

    actual 24.

    :2

    1:2

    42

    estimate

    actual

    25.

    :13

    5:12

    12

    estimate

    actual 26.

    : 5

    2: 5

    5

    estimate

    actual

  • Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY

    18 2015 Carreon

    27.

    : 4

    3: 3

    5

    estimate

    actual

    28.

    :14

    13:14

    21

    estimate

    actual

    29.

    :16

    23:15

    24

    estimate

    actual 30.

    : 1

    3:

    4

    estimate

    actual

    31.

    : 4

    1: 4

    28

    estimate

    actual

    32.

    :20

    1:19

    2

    estimate

    actual

    33.

    :19

    1:18

    2

    estimate

    actual 34.

    :5

    3:5

    8

    estimate

    actual

    35.

    :9

    23:8

    36

    estimate

    actual 36.

    : 3

    5: 3

    24

    estimate

    actual

    37.

    : 7

    19: 7

    36

    estimate

    actual

    38.

    :0

    :0

    estimate

    actual

    39. :0

    :0

    estimate

    actual 40.

    : 24

    5: 23

    8

    estimate

    actual

    41.

    :25

    1:24

    4

    estimate m

    actual m 42.

    :18

    11:17

    12

    estimate d

    actual yd

    43.

    :23

    5:23

    8

    estimate ft

    actual ft 44.

    :29

    1:28

    4

    estimate yd

    actual yd

    45.

    :22

    1:21 ;

    6

    .

    estimate ft

    actual ft

    Not enough to complete the order

    46.

    :6

    1:6 ;

    8

    .

    estimate yd

    actual yd

    He did not buy enough fabric

  • Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY

    19 2015 Carreon

    47.

    :9

    1:9 ;

    4

    , , .

    estimate yd

    actual ft

    yes she bought enough fabric

    48.

    :18

    1:18 ;

    24

    , , .

    estimate ft

    actual ft

    No she does not have enough base board

    Section 4.7

    1. 49

    100 2.

    16

    25

    3. 49

    100 4.

    16

    25

    5. 8

    27 6.

    125 515

    8 8or

    7. 1

    32 8.

    1

    81

    9. 64 15

    149 49

    or 10. 81 1

    204 4

    or

    11. 121 21

    425 25

    or 12. 36 11

    125 25

    or

    13. 9 1

    18 8

    or 14. 25 1

    64 4

    or

    15. 1

    100 16.

    1

    100

    17. 12

    25 18.

    25 12

    12 2or

    19. 13

    15 20.

    3

    4

    21. 14 4

    25 5

    or 22. 5

    16

    23. 1

    15 24.

    3 11

    2 2or

  • Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY

    20 2015 Carreon

    25. 1

    24 26.

    1

    6

    27. 1

    3 28.

    3

    40

    29. 4

    27 30. 6

    31. 8

    9 32.

    2

    3

    33. 6 34. 4

    35. 48 3

    95 5

    or 36. 25 1

    122 2

    or

    37. 1

    14 38.

    11

    15

    39. 9 40. 21 1

    120 20

    or

    41. 80 2

    263 3

    or 42. 64 4

    125 5

    or

    43. 7

    24 44.

    1

    2

    45. 5

    11 46. 5

    47. 14 4

    25 5

    or 48. 1

    4

    49. 111 11

    1100 100

    or 50. 15 1

    114 4

    or

    51. 3

    28

    in 52. 9

    110

    mi

    53. 1

    210

    mi 54. 1

    382

    ft

  • Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY

    21 2015 Carreon

    Section 4.8

    1. 54x 2. 56n

    3. 33n 4. 60x

    5. 21

    5x 6.

    14

    9n

    7. 16n 8. 20x

    9. 5

    18x

    10.

    5

    12n

    11. 27

    5n 12.

    50

    3x

    13. 96n 14. 12x

    15. 35

    3n

    16. 96y

    17. 116

    3x 18.

    2

    5n

    19. 360y 20. 54u

    21. 5

    6n

    22.

    5

    8x

    23. 15u 24. 36y

    25. 16x 26. 3

    4n

    27. 4y 28. 1

    2u

    29. 15n 30. 20x

    31. 12u 32. 3

    2y

    33. 102

    5x 34. 3n

    35. 20y 36. 4u

    37. 3n 38. 10x

  • Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY

    22 2015 Carreon

    For problems 39-49 make sure to do the five step word problem method like it is shown in the book.

    These are just the answers.

    39. 24n 40. 55n

    41. 21n 42. 30n

    43. 24n 44. 48

    36

    length m

    width m

    45. 6

    5

    length m

    width m

    46. 12h in

    47. 16h ft 48. 8h m

    49. 16h yds