1. Bell Quiz

2. Objectives
Apply the order of operations to numeric and algebraic expressions with symbols of inclusion.

3. Simplifying and Comparing Expressions with Symbols of Inclusion
A mathematical expression can include numbers, variables, operations, and symbols of inclusion.
Symbols of inclusion, such as fraction bars, absolute – value symbols, parentheses braces, and brackets indicate which numbers, variables, and operations are part of the same term.

4. Simplifying and Comparing Expressions with Symbols of Inclusion
( ) Parentheses
[ ] Brackets
{ } Braces
a / b Fraction Bar
│x│ Absolute – Value Symbols

5. Example 1 Expressions with Absolute-Value Symbols and Parentheses
Simplify each expression.
9 – │4 – 6│ b. 5 ∙ 2 + [3 + (6 – 8)]

6. Lesson Practice Simplify each expression.
12 + │5 – 11│ b. 5(8 + 4) ÷ (15 – 5 – 4)

7. Example 2 Simplifying Expressions with Brackets
3 + 5 ∙ [(9 – 3)2 – 6]

8. Lesson Practice
Simplify:
5 + [6 ∙ (23 + 4)]

9. Example 3 Simplifying Expressions with Rational Numbers
4 ∙ 5
[5 ∙ (4 + 2)2] + 2

10. Lesson Practice
Simplify the expression.
8 ∙ 3
4(1 + 2)2 ÷ 6 + 2

11. Example 4 Compare Expressions with Symbols of Inclusion
Compare the expressions, Use < , >, or =. ○
12 + [5(7 – 5)3 – 14]
[(9 – 5)2 + 7] – 33

12. ○ Lesson Practice Compare the expressions, Use < , >, or =.
(13 + 5) – [5 ∙ 22]
[(7 + 11) – 5] – 23

13. Example 5 Application: Half Price Sale
Beatrice wants to buy 3 DVDs marked $7 each and 4 CDs marked $12 each. Everything in the store is on sale for half off the marked price. Beatrice has $31.50 to spend and a coupon good for $1 off each CD. Use the expression provided to determine if Beatrice has enough money to buy all the items she wants.