0
4-3 Evaluating Expressions
   with Whole Numbers
             Math Notes
      Algebra and Functions 1.2
Skills needed...
Evaluating Expression - to
evaluate an expression with
variables, substitute values for
each variable and...
Skills needed...
Evaluating Expression - to
evaluate an expression with
variables, substitute values for
each variable and...
Skills needed...
Evaluating Expression - to
evaluate an expression with
variables, substitute values for
each variable and...
Skills needed...
Evaluating Expression - to
evaluate an expression with
variables, substitute values for
each variable and...
Skills needed...
Evaluating Expression - to
evaluate an expression with
variables, substitute values for
each variable and...
Skills needed...
Evaluating Expression - to
evaluate an expression with
variables, substitute values for
each variable and...
Evaluate 4 + 2w
w = 6, w = 2, w = 8
Evaluate 4 + 2w
w = 6, w = 2, w = 8
Evaluate 4 + 2w
w = 6, w = 2, w = 8

          4+2x w
Evaluate 4 + 2w
  w = 6, w = 2, w = 8

w =6        4+2x w
Evaluate 4 + 2w
w = 6, w = 2, w = 8

          4+2x 6
Evaluate 4 + 2w
             w = 6, w = 2, w = 8

                               4+2x 6
STEP ONE - Do the operations
     ...
Evaluate 4 + 2w
             w = 6, w = 2, w = 8

                               4+2x 6
STEP ONE - Do the operations
     ...
Evaluate 4 + 2w
w = 6, w = 2, w = 8

          4+2x 6
Evaluate 4 + 2w
            w = 6, w = 2, w = 8

                                   4+2x 6



STEP TWO - Do the multiplica...
Evaluate 4 + 2w
            w = 6, w = 2, w = 8

                                   4+2x 6



STEP TWO - Do the multiplica...
Evaluate 4 + 2w
            w = 6, w = 2, w = 8

                                   4+2x 6

                              ...
Evaluate 4 + 2w
w = 6, w = 2, w = 8

          4+2x 6

                 12
Evaluate 4 + 2w
            w = 6, w = 2, w = 8

                                  4+2x 6

                               ...
Evaluate 4 + 2w
            w = 6, w = 2, w = 8

                                  4+2x 6

                               ...
Evaluate 4 + 2w
            w = 6, w = 2, w = 8

                                  4+2x 6

                               ...
Evaluate 4 + 2w
            w = 6, w = 2, w = 8

                                  4+2x 6

                               ...
Evaluate 4 + 2w
w = 6, w = 2, w = 8
Evaluate 4 + 2w
w = 6, w = 2, w = 8
Evaluate 4 + 2w
w = 6, w = 2, w = 8

          4+2x w
Evaluate 4 + 2w
  w = 6, w = 2, w = 8

w =2        4+2x w
Evaluate 4 + 2w
w = 6, w = 2, w = 8

          4+2x 2
Evaluate 4 + 2w
             w = 6, w = 2, w = 8

                               4+2x 2
STEP ONE - Do the operations
     ...
Evaluate 4 + 2w
             w = 6, w = 2, w = 8

                               4+2x 2
STEP ONE - Do the operations
     ...
Evaluate 4 + 2w
w = 6, w = 2, w = 8

          4+2x 2
Evaluate 4 + 2w
            w = 6, w = 2, w = 8

                                   4+2x 2



STEP TWO - Do the multiplica...
Evaluate 4 + 2w
            w = 6, w = 2, w = 8

                                   4+2x 2



STEP TWO - Do the multiplica...
Evaluate 4 + 2w
            w = 6, w = 2, w = 8

                                   4+2x 2

                              ...
Evaluate 4 + 2w
w = 6, w = 2, w = 8

          4+2x 2

                 4
Evaluate 4 + 2w
            w = 6, w = 2, w = 8

                                  4+2x 2

                               ...
Evaluate 4 + 2w
            w = 6, w = 2, w = 8

                                  4+2x 2

                               ...
Evaluate 4 + 2w
            w = 6, w = 2, w = 8

                                  4+2x 2

                               ...
Evaluate 4 + 2w
            w = 6, w = 2, w = 8

                                  4+2x 2

                               ...
Evaluate 4 + 2w
w = 6, w = 2, w = 8
Evaluate 4 + 2w
w = 6, w = 2, w = 8
Evaluate 4 + 2w
w = 6, w = 2, w = 8

          4+2x w
Evaluate 4 + 2w
  w = 6, w = 2, w = 8

w =8        4+2x w
Evaluate 4 + 2w
w = 6, w = 2, w = 8

          4+2x 8
Evaluate 4 + 2w
             w = 6, w = 2, w = 8

                               4+2x 8
STEP ONE - Do the operations
     ...
Evaluate 4 + 2w
             w = 6, w = 2, w = 8

                               4+2x 8
STEP ONE - Do the operations
     ...
Evaluate 4 + 2w
w = 6, w = 2, w = 8

          4+2x 8
Evaluate 4 + 2w
            w = 6, w = 2, w = 8

                                   4+2x 8



STEP TWO - Do the multiplica...
Evaluate 4 + 2w
            w = 6, w = 2, w = 8

                                   4+2x 8



STEP TWO - Do the multiplica...
Evaluate 4 + 2w
            w = 6, w = 2, w = 8

                                   4+2x 8

                              ...
Evaluate 4 + 2w
w = 6, w = 2, w = 8

          4+2x 8

                 16
Evaluate 4 + 2w
            w = 6, w = 2, w = 8

                                  4+2x 8

                               ...
Evaluate 4 + 2w
            w = 6, w = 2, w = 8

                                  4+2x 8

                               ...
Evaluate 4 + 2w
            w = 6, w = 2, w = 8

                                  4+2x 8

                               ...
Evaluate 4 + 2w
            w = 6, w = 2, w = 8

                                  4+2x 8

                               ...
p
 Evaluate   +5
          2
p = 4, p = 8, p = 2
p
 Evaluate   +5
          2
p = 4, p = 8, p = 2
p
 Evaluate   +5
          2
p = 4, p = 8, p = 2
            p ÷2+5
p
      Evaluate   +5
               2
  p = 4, p = 8, p = 2
p=4           p ÷2+5
p
 Evaluate   +5
          2
p = 4, p = 8, p = 2
            4 ÷2+5
p
                  Evaluate   +5
                           2
              p = 4, p = 8, p = 2
                         ...
p
                  Evaluate   +5
                           2
              p = 4, p = 8, p = 2
                         ...
p
 Evaluate   +5
          2
p = 4, p = 8, p = 2
            4 ÷2+5
p
          Evaluate   +5
                   2
      p = 4, p = 8, p = 2
STEP TWO - Do the multiplication
  or division fr...
p
          Evaluate   +5
                   2
      p = 4, p = 8, p = 2
STEP TWO - Do the multiplication
  or division fr...
p
          Evaluate   +5
                   2
      p = 4, p = 8, p = 2
STEP TWO - Do the multiplication
  or division fr...
p
 Evaluate   +5
          2
p = 4, p = 8, p = 2
            4 ÷2+5

              2 +5
p
      Evaluate   +5
               2
  p = 4, p = 8, p = 2
                            4 ÷2+5
STEP THREE - Do the additi...
p
      Evaluate   +5
               2
  p = 4, p = 8, p = 2
                            4 ÷2+5
STEP THREE - Do the additi...
p
      Evaluate   +5
               2
  p = 4, p = 8, p = 2
                            4 ÷2+5
STEP THREE - Do the additi...
p
 Evaluate   +5
          2
p = 4, p = 8, p = 2
p
 Evaluate   +5
          2
p = 4, p = 8, p = 2
p
 Evaluate   +5
          2
p = 4, p = 8, p = 2
            p ÷2+5
p
      Evaluate   +5
               2
  p = 4, p = 8, p = 2
p=8           p ÷2+5
p
 Evaluate   +5
          2
p = 4, p = 8, p = 2
            8 ÷2+5
p
                  Evaluate   +5
                           2
              p = 4, p = 8, p = 2
                         ...
p
                  Evaluate   +5
                           2
              p = 4, p = 8, p = 2
                         ...
p
 Evaluate   +5
          2
p = 4, p = 8, p = 2
            8 ÷2+5
p
          Evaluate   +5
                   2
      p = 4, p = 8, p = 2
STEP TWO - Do the multiplication
  or division fr...
p
          Evaluate   +5
                   2
      p = 4, p = 8, p = 2
STEP TWO - Do the multiplication
  or division fr...
p
          Evaluate   +5
                   2
      p = 4, p = 8, p = 2
STEP TWO - Do the multiplication
  or division fr...
p
 Evaluate   +5
          2
p = 4, p = 8, p = 2
            8 ÷2+5

              4 +5
p
      Evaluate   +5
               2
  p = 4, p = 8, p = 2
                            8 ÷2+5
STEP THREE - Do the additi...
p
      Evaluate   +5
               2
  p = 4, p = 8, p = 2
                            8 ÷2+5
STEP THREE - Do the additi...
p
      Evaluate   +5
               2
  p = 4, p = 8, p = 2
                            8 ÷2+5
STEP THREE - Do the additi...
p
 Evaluate   +5
          2
p = 4, p = 8, p = 2
p
 Evaluate   +5
          2
p = 4, p = 8, p = 2
p
 Evaluate   +5
          2
p = 4, p = 8, p = 2
            p ÷2+5
p
      Evaluate   +5
               2
  p = 4, p = 8, p = 2
p=2           p ÷2+5
p
 Evaluate   +5
          2
p = 4, p = 8, p = 2
            2 ÷2+5
p
                  Evaluate   +5
                           2
              p = 4, p = 8, p = 2
                         ...
p
                  Evaluate   +5
                           2
              p = 4, p = 8, p = 2
                         ...
p
 Evaluate   +5
          2
p = 4, p = 8, p = 2
            2 ÷2+5
p
          Evaluate   +5
                   2
      p = 4, p = 8, p = 2
STEP TWO - Do the multiplication
  or division fr...
p
          Evaluate   +5
                   2
      p = 4, p = 8, p = 2
STEP TWO - Do the multiplication
  or division fr...
p
          Evaluate   +5
                   2
      p = 4, p = 8, p = 2
STEP TWO - Do the multiplication
  or division fr...
p
 Evaluate   +5
          2
p = 4, p = 8, p = 2
            2 ÷2+5

              1 +5
p
      Evaluate   +5
               2
  p = 4, p = 8, p = 2
                            2 ÷2+5
STEP THREE - Do the additi...
p
      Evaluate   +5
               2
  p = 4, p = 8, p = 2
                            2 ÷2+5
STEP THREE - Do the additi...
p
      Evaluate   +5
               2
  p = 4, p = 8, p = 2
                            2 ÷2+5
STEP THREE - Do the additi...
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4-3 Evaluating Expressions with Whole Numbers

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  • Transcript of "4-3 Evaluating Expressions with Whole Numbers"

    1. 1. 4-3 Evaluating Expressions with Whole Numbers Math Notes Algebra and Functions 1.2
    2. 2. Skills needed... Evaluating Expression - to evaluate an expression with variables, substitute values for each variable and simplify.
    3. 3. Skills needed... Evaluating Expression - to evaluate an expression with variables, substitute values for each variable and simplify. 6x n
    4. 4. Skills needed... Evaluating Expression - to evaluate an expression with variables, substitute values for each variable and simplify. 6x n n =3
    5. 5. Skills needed... Evaluating Expression - to evaluate an expression with variables, substitute values for each variable and simplify. 6x n =3
    6. 6. Skills needed... Evaluating Expression - to evaluate an expression with variables, substitute values for each variable and simplify. 6x3
    7. 7. Skills needed... Evaluating Expression - to evaluate an expression with variables, substitute values for each variable and simplify. 6 x 3 = 18
    8. 8. Evaluate 4 + 2w w = 6, w = 2, w = 8
    9. 9. Evaluate 4 + 2w w = 6, w = 2, w = 8
    10. 10. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x w
    11. 11. Evaluate 4 + 2w w = 6, w = 2, w = 8 w =6 4+2x w
    12. 12. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 6
    13. 13. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 6 STEP ONE - Do the operations inside parentheses
    14. 14. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 6 STEP ONE - Do the operations inside parentheses No parentheses? Move on to STEP TWO
    15. 15. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 6
    16. 16. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 6 STEP TWO - Do the multiplication or division from left to right
    17. 17. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 6 STEP TWO - Do the multiplication or division from left to right
    18. 18. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 6 12 STEP TWO - Do the multiplication or division from left to right
    19. 19. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 6 12
    20. 20. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 6 12 STEP THREE - Do the addition or subtraction from left to right
    21. 21. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 6 4 + 12 STEP THREE - Do the addition or subtraction from left to right
    22. 22. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 6 4 + 12 STEP THREE - Do the addition or subtraction from left to right
    23. 23. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 6 4 + 12 16 STEP THREE - Do the addition or subtraction from left to right
    24. 24. Evaluate 4 + 2w w = 6, w = 2, w = 8
    25. 25. Evaluate 4 + 2w w = 6, w = 2, w = 8
    26. 26. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x w
    27. 27. Evaluate 4 + 2w w = 6, w = 2, w = 8 w =2 4+2x w
    28. 28. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 2
    29. 29. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 2 STEP ONE - Do the operations inside parentheses
    30. 30. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 2 STEP ONE - Do the operations inside parentheses No parentheses? Move on to STEP TWO
    31. 31. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 2
    32. 32. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 2 STEP TWO - Do the multiplication or division from left to right
    33. 33. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 2 STEP TWO - Do the multiplication or division from left to right
    34. 34. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 2 4 STEP TWO - Do the multiplication or division from left to right
    35. 35. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 2 4
    36. 36. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 2 4 STEP THREE - Do the addition or subtraction from left to right
    37. 37. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 2 4+ 4 STEP THREE - Do the addition or subtraction from left to right
    38. 38. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 2 4+ 4 STEP THREE - Do the addition or subtraction from left to right
    39. 39. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 2 4+ 4 8 STEP THREE - Do the addition or subtraction from left to right
    40. 40. Evaluate 4 + 2w w = 6, w = 2, w = 8
    41. 41. Evaluate 4 + 2w w = 6, w = 2, w = 8
    42. 42. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x w
    43. 43. Evaluate 4 + 2w w = 6, w = 2, w = 8 w =8 4+2x w
    44. 44. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 8
    45. 45. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 8 STEP ONE - Do the operations inside parentheses
    46. 46. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 8 STEP ONE - Do the operations inside parentheses No parentheses? Move on to STEP TWO
    47. 47. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 8
    48. 48. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 8 STEP TWO - Do the multiplication or division from left to right
    49. 49. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 8 STEP TWO - Do the multiplication or division from left to right
    50. 50. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 8 16 STEP TWO - Do the multiplication or division from left to right
    51. 51. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 8 16
    52. 52. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 8 16 STEP THREE - Do the addition or subtraction from left to right
    53. 53. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 8 4 + 16 STEP THREE - Do the addition or subtraction from left to right
    54. 54. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 8 4 + 16 STEP THREE - Do the addition or subtraction from left to right
    55. 55. Evaluate 4 + 2w w = 6, w = 2, w = 8 4+2x 8 4 + 16 20 STEP THREE - Do the addition or subtraction from left to right
    56. 56. p Evaluate +5 2 p = 4, p = 8, p = 2
    57. 57. p Evaluate +5 2 p = 4, p = 8, p = 2
    58. 58. p Evaluate +5 2 p = 4, p = 8, p = 2 p ÷2+5
    59. 59. p Evaluate +5 2 p = 4, p = 8, p = 2 p=4 p ÷2+5
    60. 60. p Evaluate +5 2 p = 4, p = 8, p = 2 4 ÷2+5
    61. 61. p Evaluate +5 2 p = 4, p = 8, p = 2 4 ÷2+5 STEP ONE - Do the operations inside parentheses
    62. 62. p Evaluate +5 2 p = 4, p = 8, p = 2 4 ÷2+5 STEP ONE - Do the operations inside parentheses No parentheses? Move on to STEP TWO
    63. 63. p Evaluate +5 2 p = 4, p = 8, p = 2 4 ÷2+5
    64. 64. p Evaluate +5 2 p = 4, p = 8, p = 2 STEP TWO - Do the multiplication or division from left to right 4 ÷2+5
    65. 65. p Evaluate +5 2 p = 4, p = 8, p = 2 STEP TWO - Do the multiplication or division from left to right 4 ÷2+5
    66. 66. p Evaluate +5 2 p = 4, p = 8, p = 2 STEP TWO - Do the multiplication or division from left to right 4 ÷2+5 2
    67. 67. p Evaluate +5 2 p = 4, p = 8, p = 2 4 ÷2+5 2 +5
    68. 68. p Evaluate +5 2 p = 4, p = 8, p = 2 4 ÷2+5 STEP THREE - Do the addition or subtraction from left to right 2 +5
    69. 69. p Evaluate +5 2 p = 4, p = 8, p = 2 4 ÷2+5 STEP THREE - Do the addition or subtraction from left to right 2 +5
    70. 70. p Evaluate +5 2 p = 4, p = 8, p = 2 4 ÷2+5 STEP THREE - Do the addition or subtraction from left to right 2 +5 7
    71. 71. p Evaluate +5 2 p = 4, p = 8, p = 2
    72. 72. p Evaluate +5 2 p = 4, p = 8, p = 2
    73. 73. p Evaluate +5 2 p = 4, p = 8, p = 2 p ÷2+5
    74. 74. p Evaluate +5 2 p = 4, p = 8, p = 2 p=8 p ÷2+5
    75. 75. p Evaluate +5 2 p = 4, p = 8, p = 2 8 ÷2+5
    76. 76. p Evaluate +5 2 p = 4, p = 8, p = 2 8 ÷2+5 STEP ONE - Do the operations inside parentheses
    77. 77. p Evaluate +5 2 p = 4, p = 8, p = 2 8 ÷2+5 STEP ONE - Do the operations inside parentheses No parentheses? Move on to STEP TWO
    78. 78. p Evaluate +5 2 p = 4, p = 8, p = 2 8 ÷2+5
    79. 79. p Evaluate +5 2 p = 4, p = 8, p = 2 STEP TWO - Do the multiplication or division from left to right 8 ÷2+5
    80. 80. p Evaluate +5 2 p = 4, p = 8, p = 2 STEP TWO - Do the multiplication or division from left to right 8 ÷2+5
    81. 81. p Evaluate +5 2 p = 4, p = 8, p = 2 STEP TWO - Do the multiplication or division from left to right 8 ÷2+5 4
    82. 82. p Evaluate +5 2 p = 4, p = 8, p = 2 8 ÷2+5 4 +5
    83. 83. p Evaluate +5 2 p = 4, p = 8, p = 2 8 ÷2+5 STEP THREE - Do the addition or subtraction from left to right 4 +5
    84. 84. p Evaluate +5 2 p = 4, p = 8, p = 2 8 ÷2+5 STEP THREE - Do the addition or subtraction from left to right 4 +5
    85. 85. p Evaluate +5 2 p = 4, p = 8, p = 2 8 ÷2+5 STEP THREE - Do the addition or subtraction from left to right 4 +5 9
    86. 86. p Evaluate +5 2 p = 4, p = 8, p = 2
    87. 87. p Evaluate +5 2 p = 4, p = 8, p = 2
    88. 88. p Evaluate +5 2 p = 4, p = 8, p = 2 p ÷2+5
    89. 89. p Evaluate +5 2 p = 4, p = 8, p = 2 p=2 p ÷2+5
    90. 90. p Evaluate +5 2 p = 4, p = 8, p = 2 2 ÷2+5
    91. 91. p Evaluate +5 2 p = 4, p = 8, p = 2 2 ÷2+5 STEP ONE - Do the operations inside parentheses
    92. 92. p Evaluate +5 2 p = 4, p = 8, p = 2 2 ÷2+5 STEP ONE - Do the operations inside parentheses No parentheses? Move on to STEP TWO
    93. 93. p Evaluate +5 2 p = 4, p = 8, p = 2 2 ÷2+5
    94. 94. p Evaluate +5 2 p = 4, p = 8, p = 2 STEP TWO - Do the multiplication or division from left to right 2 ÷2+5
    95. 95. p Evaluate +5 2 p = 4, p = 8, p = 2 STEP TWO - Do the multiplication or division from left to right 2 ÷2+5
    96. 96. p Evaluate +5 2 p = 4, p = 8, p = 2 STEP TWO - Do the multiplication or division from left to right 2 ÷2+5 1
    97. 97. p Evaluate +5 2 p = 4, p = 8, p = 2 2 ÷2+5 1 +5
    98. 98. p Evaluate +5 2 p = 4, p = 8, p = 2 2 ÷2+5 STEP THREE - Do the addition or subtraction from left to right 1 +5
    99. 99. p Evaluate +5 2 p = 4, p = 8, p = 2 2 ÷2+5 STEP THREE - Do the addition or subtraction from left to right 1 +5
    100. 100. p Evaluate +5 2 p = 4, p = 8, p = 2 2 ÷2+5 STEP THREE - Do the addition or subtraction from left to right 1 +5 6
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