1. 4-3 Evaluating Expressions
with Whole Numbers
Math Notes
Algebra and Functions 1.2

2. Skills needed...
Evaluating Expression - to
evaluate an expression with
variables, substitute values for
each variable and simplify.

3. Skills needed...
Evaluating Expression - to
evaluate an expression with
variables, substitute values for
each variable and simplify.
6x n

4. Skills needed...
Evaluating Expression - to
evaluate an expression with
variables, substitute values for
each variable and simplify.
6x n n =3

5. Skills needed...
Evaluating Expression - to
evaluate an expression with
variables, substitute values for
each variable and simplify.
6x n =3

6. Skills needed...
Evaluating Expression - to
evaluate an expression with
variables, substitute values for
each variable and simplify.
6x3

7. Skills needed...
Evaluating Expression - to
evaluate an expression with
variables, substitute values for
each variable and simplify.
6 x 3 = 18

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

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

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

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

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

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

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

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. Evaluate 4 + 2w
w = 6, w = 2, w = 8
4+2x 6
STEP TWO - Do the multiplication
or division from left to right

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

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

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

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

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

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

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

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

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. Evaluate 4 + 2w
w = 6, w = 2, w = 8
4+2x 2
STEP TWO - Do the multiplication
or division from left to right

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

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

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

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

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

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

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

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

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. Evaluate 4 + 2w
w = 6, w = 2, w = 8
4+2x 8
STEP TWO - Do the multiplication
or division from left to right

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

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. 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. 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. 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. p
Evaluate +5
2
p = 4, p = 8, p = 2

57. p
Evaluate +5
2
p = 4, p = 8, p = 2

58. p
Evaluate +5
2
p = 4, p = 8, p = 2
p ÷2+5

59. p
Evaluate +5
2
p = 4, p = 8, p = 2
p=4 p ÷2+5

60. p
Evaluate +5
2
p = 4, p = 8, p = 2
4 ÷2+5

61. p
Evaluate +5
2
p = 4, p = 8, p = 2
4 ÷2+5
STEP ONE - Do the operations
inside parentheses

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. p
Evaluate +5
2
p = 4, p = 8, p = 2
4 ÷2+5

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. 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. 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. p
Evaluate +5
2
p = 4, p = 8, p = 2
4 ÷2+5
2 +5

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. 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. 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. p
Evaluate +5
2
p = 4, p = 8, p = 2

72. p
Evaluate +5
2
p = 4, p = 8, p = 2

73. p
Evaluate +5
2
p = 4, p = 8, p = 2
p ÷2+5

74. p
Evaluate +5
2
p = 4, p = 8, p = 2
p=8 p ÷2+5

75. p
Evaluate +5
2
p = 4, p = 8, p = 2
8 ÷2+5

76. p
Evaluate +5
2
p = 4, p = 8, p = 2
8 ÷2+5
STEP ONE - Do the operations
inside parentheses

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. p
Evaluate +5
2
p = 4, p = 8, p = 2
8 ÷2+5

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. 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. 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. p
Evaluate +5
2
p = 4, p = 8, p = 2
8 ÷2+5
4 +5

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. 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. 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. p
Evaluate +5
2
p = 4, p = 8, p = 2

87. p
Evaluate +5
2
p = 4, p = 8, p = 2

88. p
Evaluate +5
2
p = 4, p = 8, p = 2
p ÷2+5

89. p
Evaluate +5
2
p = 4, p = 8, p = 2
p=2 p ÷2+5

90. p
Evaluate +5
2
p = 4, p = 8, p = 2
2 ÷2+5

91. p
Evaluate +5
2
p = 4, p = 8, p = 2
2 ÷2+5
STEP ONE - Do the operations
inside parentheses

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. p
Evaluate +5
2
p = 4, p = 8, p = 2
2 ÷2+5

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. 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. 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. p
Evaluate +5
2
p = 4, p = 8, p = 2
2 ÷2+5
1 +5

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. 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. 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