1. Example 3: Write an algebraic expression.
c) Melissa plans to create a painting to sell to an art gallery. The expression 10𝑐+5𝑏+8𝑝+2𝑠 represents her cost, in dollars, for the painting when she buys c canvases, b brushes, p colors of paint, and s packages of sponges. Which statement is true? A) The term 10c represents the cost of 10 canvases. B) The coefficient 8 represents the cost of p colors of paint. C) The term 5b represents the cost of b brushes at $5 per brush. D) The coefficient 2 represents the number of packages of sponges she buys.

2. Warm Up

3. Check Homework

6. 1.2 Notes: Order of Operations
Agenda:
Warm Up
Check Homework
Notes
Exit Slip
Cross“number” Puzzle (Time Permitting)

7. Evaluate
Evaluate: to solve or find the value of an expression

8. Example 1
Evaluate the expressions.
a) b) 2 4
c) d) 7 3

9. Order of Operations
Order of Operations: the rule that lets you know which operation to perform first.

10. Example 2
 a) 48÷ 2 3 ∙3+5
b) 20− −7∙11

11. Grouping Symbols
When one or more grouping symbols are used, evaluate within the innermost grouping symbols first.
Grouping symbols such as parentheses ( ), brackets [ ], and braces { } are used to clarify or change the order of operations.

12. Example 3 Expressions with grouping symbols. a) 8−3 ∙3(3+2)
c) −6 ∙ −5 ∙ 3−2

13. Brain Break!
1. Stand up.
2. Wink your left eye and snap your right hand index finger and thumb at the same time.
3. Wink your right eye and snap your left hand index finger and thumb at the same time.
4. Switch back and forth as fast as you can.

14. Evaluate
To evaluate an algebraic expression, replace the variables with their values. Then find the value of the numerical expression using the order of operations.

15. Example 4 Evaluate the algebraic expression.
a) 2 𝑥 2 −𝑦 + 𝑧 2 if x = 4, y = 3, and z = 2
b) 5𝑑+ 6𝑓−𝑔 if d = 4, f = 3, and g = 12

16. Example 5
Each side of the Great Pyramid of Giza, Egypt, is a triangle. The base of each triangle once measured 230 meters. The height of each triangle once measured 187 meters. The area of a triangle is one-half the product of the base b and its height h.
a) Write an expression that represents the area of one side of the Great Pyramid.
b) Find the area of one side of the Great Pyramid.

17. Example 6
According to the California Department of Forestry, an average of fires each year are started by burning debris, while campfires are responsible for an average of each year.
a) Write an algebraic expression that represents the number of fires, on average, in d years of debris burning and c years of campfires.
b) How many fires would there be in 5 years?

18. Exit Slip
Evaluate the expression. 3×6÷2+5(5−1)