REVIEW: Order of Operations Name ___________________________________
Key Concept and Vocabulary
Please Excuse My Dear Aunt Sally Simplify 42 2 + 3(9 5). Order of
Operations
1st Parentheses 42 2 + 3(9 5) = 42 2 + 3 4
2nd Exponents = 16 2 + 3 4
= 8 + 12
3rd Multiplication and Division (from left to right)
= 20
4th Addition and Subtraction (from left to right)
Skill Examples Application Example
1. 18 2 4 = 9 4 = 5 6. At a museum, 4 adults pay $5 each and
6 children pay $3 each. What is the total
2. 12 (6 2) = 12 4 = 48 cost of the tickets?
14 3 19 = 42 19 = 23
3.
4 5 + 6 3 = 20 + 18
4. 20 10 + 21 5 = 2 + 105 = 107 = 38
5. (2 + 3)2 5 = 25 5 = 20 The total cost is $38.
PRACTICE MAKES PURR-FECT Check your answers at BigIdeasMath.com.
Simplify.
7. 32 + 5(4 2) = 8. 3 + 4 2 =
9. 10 5 3 =
10. 4( 33 8 ) 2 =
11. 3 6 4 2 = 12. 12 + 7 3 24 =
Insert parentheses to make the statement true.
13. 52 15 5 = 2
14. 12 23 + 4 = 144 15. 91 21 7 = 10
Write an expression for the total area of the two rectangles. Evaluate your expression.
16. 17.
18. ADMISSION At a baseball game, 6 adults pay $20 each and 4 children pay $10 each.
What is the total cost of the tickets?
19. INSERTING PARENTHESES Insert parentheses in the expression 4 + 23 5 2 in
two ways: (a) so that the value is 10 and (b) so that the value is 14.
(a) (b)
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