1. Algebra 1 Notes: Lesson 1-2: Order of Operations

2. Objectives Write expressions from a story problem
Evaluate expressions using order of operations

3. Order of Operations Parentheses. Exponents. Multiplication and
Division from left to right.
4. Addition and
Subtractions from left to right.

4. P E M D A S

5. Please
Excuse My
Dear
Aunt
Sally

6. Please Parenthesis
Excuse Exponents
My Multiplication
Dear Division
Aunt Addition
Sally Subtraction

7. Example 1
2[5 + (30  6)2]

8. Example 1
2[5 + (30  6)2]

9. Example 1
2[5 + (30  6)2]

10. Example 1
2[5 + (30  6)2]
= 2[5 + (5)2]

11. Example 1
2[5 + (30  6)2]
= 2[5 + (5)2]

12. Example 1
2[5 + (30  6)2]
= 2[5 + (5)2]

13. Example 1
2[5 + (30  6)2]
= 2[5 + (5)2]
= 2[5 + 25]

14. Example 1
2[5 + (30  6)2]
= 2[5 + (5)2]
= 2[5 + 25]

15. Example 1
2[5 + (30  6)2]
= 2[5 + (5)2]
= 2[5 + 25]

16. Example 1
2[5 + (30  6)2]
= 2[5 + (5)2]
= 2[5 + 25]
= 2[30]

17. Example 1
2[5 + (30  6)2]
= 2[5 + (5)2]
= 2[5 + 25]
= 2[30]

18. Example 1
2[5 + (30  6)2]
= 2[5 + (5)2]
= 2[5 + 25]
= 2[30]

19. Example 1
2[5 + (30  6)2]
= 2[5 + (5)2]
= 2[5 + 25]
= 2[30]
= 60

20. Example 1
2[5 + (30  6)2]
= 2[5 + (5)2]
= 2[5 + 25]
= 2[30]
= 60

21. Example 2
Simplify the top first.

22. Next simplify the bottom.
Example 2
Next simplify the bottom.

23. Example 2
Leave your answer as a simplified fraction – do not divide to make it a decimal.

24. Example 3
Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5

25. Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5

26. Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5

27. Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5

28. Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5

29. Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5

30. Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5
= 72 – (27 – 4  5)

31. Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5
= 72 – (27 – 4  5)

32. Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5
= 72 – (27 – 4  5)

33. Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5
= 72 – (27 – 4  5)
= 72 – (27 – 20)

34. Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5
= 72 – (27 – 4  5)
= 72 – (27 – 20)

35. Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5
= 72 – (27 – 4  5)
= 72 – (27 – 20)

36. Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5
= 72 – (27 – 4  5)
= 72 – (27 – 20)
= 72 – 7

37. Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5
= 72 – (27 – 4  5)
= 72 – (27 – 20)
= 72 – 7

38. Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5
= 72 – (27 – 4  5)
= 72 – (27 – 20)
= 72 – 7

39. Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5
= 72 – (27 – 4  5)
= 72 – (27 – 20)
= 72 – 7
= 49 – 7

40. Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5
= 72 – (27 – 4  5)
= 72 – (27 – 20)
= 72 – 7
= 49 – 7

41. Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5
= 72 – (27 – 4  5)
= 72 – (27 – 20)
= 72 – 7
= 49 – 7

42. Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5
= 72 – (27 – 4  5)
= 72 – (27 – 20)
= 72 – 7
= 49 – 7
= 42

43. Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5
= 72 – (27 – 4  5)
= 72 – (27 – 20)
= 72 – 7
= 49 – 7
= 42

44. Write an expression
A computer store is selling software packages on sale at 3 for $20. Individual software packages costs $9.95. Write an expression to find the cost of 5 software packages. How much would 5 software packages cost?

45. Write an expression
A computer store is selling software packages on sale at 3 for $20. Individual software packages costs $9.95. Write an expression to find the cost of 5 software packages (9.95) How much would 5 software packages cost?

46. Write an expression
A computer store is selling software packages on sale at 3 for $20. Individual software packages costs $9.95. Write an expression to find the cost of 5 software packages (9.95) How much would 5 software packages cost?

47. Write an expression
A computer store is selling software packages on sale at 3 for $20. Individual software packages costs $9.95. Write an expression to find the cost of 5 software packages (9.95) How much would 5 software packages cost?

48. Write an expression
A computer store is selling software packages on sale at 3 for $20. Individual software packages costs $9.95. Write an expression to find the cost of 5 software packages (9.95) How much would 5 software packages cost? $39.90

49. Try these on your own 1) 48 – 23  3 + 5 2) 4 [ 12 ÷ (6 – 2)]2
1) 48 – 23  ) 4 [ 12 ÷ (6 – 2)]2
25 – 6  ) a2 – ( b3 – 4c)
33 – 5  3 – 2 a = 7, b = 3, c = 5
5) 2k + gh2 – j 6) 2g ( h- g)
gh - j
k = 12, g = 4, h = 6, j = 8

50. Try these on your own 1) 48 – 23  3 + 5 2) 4 [ 12 ÷ (6 – 2)]2 29 36
1) 48 – 23  ) 4 [ 12 ÷ (6 – 2)]2
25 – 6  ) a2 – ( b3 – 4c)
33 – 5  3 – 2 a = 7, b = 3, c = 5
5) 2k + gh2 – j 6) 2g ( h- g)
gh – j
k = 12, g = 4, h = 6, j = 8

51. Try these on your own 1) 48 – 23  3 + 5 2) 4 [ 12 ÷ (6 – 2)]2 29 36
1) 48 – 23  ) 4 [ 12 ÷ (6 – 2)]2
25 – 6  ) a2 – ( b3 – 4c)
33 – 5  3 – 2 a = 7, b = 3, c = 5
5) 2k + gh2 – j 6) 2g ( h- g)
gh – j
k = 12, g = 4, h = 6, j = 8

52. Try these on your own 1) 48 – 23  3 + 5 2) 4 [ 12 ÷ (6 – 2)]2 29 36
1) 48 – 23  ) 4 [ 12 ÷ (6 – 2)]2
25 – 6  ) a2 – ( b3 – 4c)
33 – 5  3 – 2 a = 7, b = 3, c = 5
5) 2k + gh2 – j 6) 2g ( h- g)
gh – j 1
k = 12, g = 4, h = 6, j = 8

53. Assignment:
Pg. 14:
16 – 28 (even)
29 – 31 (all)
32 – 38 (even)