1. 1-1 Variables and Expressions 1-2 Order Of Operations
CCSS: A.SSE.1a, A.SSE.1b, A.SSE.2

2. New Vocabulary Using Your Textbook, Define The Following:
Algebraic Expression
Variables
Term
Factors
Product
Power
Exponent
Base

3. Definitions
Algebraic Expression- consists of sums and/or products of numbers and variables
Variables- symbols used to represent unspecified numbers or values
Term- a number, variable, or a product or quotient of numbers and variables
Factors- In a multiplication expression, the quantities being multiplied
Product- The result of a multiplication expression
Power- an expression of the form xn
Exponent- the number of times the base is used as a factor
Base- in the expression xn, it is the ‘x’

4. Example 1: Write Verbal Expressions

5. Key Concept: Translating Verbal to Algebraic Expressions
OPERATION
Verbal Phrases
Addition
More than, sum, plus, increased by, added to
Subtraction
Less than, subtracted from, difference, decreased by, minus
Multiplication
Product of, multiplied by, times, of
Division
Quotient of, divided by

6. Example 2: Write Algebraic Expressions
a number t more than 6
10 less than the product of 7 and f
two thirds of the volume v
one third of the area a

7. Example 3: REAL WORLD
Mr. Martinez orders 250 key chains printed with his athletic team’s logo and 500 pencils printed with their Web address. Write an algebraic expression that represents the cost of the order.

8. Example 3: REAL WORLD
Katie estimates that 1/8 of the people who order beverages also order pastries. Write an algebraic expression to represent this situation.

9. Example 4: Common Core
A certain smartphone family plan costs $55 per month plus additional usage costs. If x is the number of cell phone minutes used above the plan amount and y is the number of megabytes of data used above the plan amount, interpret the following expressions
0.25x 2y
0.25x+2y+55

10. Example 5: Common Core
Consuelo and James are writing an algebraic expression for three times the sum of n squared and 3. Is either of them correct? Explain your reasoning

11. Order of Operations Parentheses Exponents Multiplication/Division
Addition/Subtraction

12. Example 6: Evaluate Expressions

13. Example 7: Order of Operations

14. Example 8: Expressions with Grouping Symbols

15. Example 9: Evaluating an Algebraic Expression

16. Example 10: REAL WORLD
Science on a Sphere (SOS) demonstrates the effects of atmospheric storms, climate changes, and ocean temperature on the environment. The volume of a sphere is four thirds of pi multiplied by the radius r to the third power.
Write an expression that represents the volume of a sphere
Find the volume of the 3-foot radius sphere used for SOS

17. Example 11: Common Core
Koto purchased food for herself and her friends. She bought 4 cheeseburgers for $2.25 each, 3 French Fries for $1.25 each, and 4 drinks for $4.00. Write and evaluate an expression to find how much the food cost.

18. Example 12: Common Core
Kamilah sells tickets at Duke University’s athletic ticket office. If p represents a preferred season ticket, b represents a blue zone ticket, and g represents a general admission ticket, interpret and evaluate the following expressions:
45b
15p+35g
c. 6p+11b+22g
Preferred
$100
Blue Zone
$80
General
$70

19. Example 13: Common Core
Write an expression using the whole numbers 1 to 5 using all five digits and addition and/or subtraction to create a numeric expression with a value of 3

20. Sample Solution