1. Section 1 Warm-Up How many terms are in the following expression?
What are the factors in the expression ?
Write the algebraic expression described by the phrase “the cost of 4 tickets to the football game and a service charge of $10.”
Underline each term once.
Circle any coefficients.
Draw a triangle around any constants.

2. Unit 1 Pre-assessment
How many terms are in the expression?
4 (terms are separated by + or -)
2. What are the factors in the expression ?
In the term 11x2, factors are 11 and x2
In the term 7x, 7 and x are factors.
3. Write the algebraic expression described by the phrase “the cost of 4 tickets to the football game, t, and a service charge of $10.”
Underline each term once.
Circle any coefficients. 4t+10
Draw a triangle around any constants.

3. Effective communication depends on a common vocabulary
Effective communication depends on a common vocabulary. In math, ideas are expressed using algebraic expressions. We must share a common understanding of the structure of these algebraic expressions in order to communicate effectively.
Let’s review some definitions. Refer to your handout
“Unit 1 Relationships Between Quantities” to fill in the chart.
When you finish, discuss with your partner.
Expression
4x2-3x+7
terms
factors
coefficients
constants

4. Expression 4x2-3x+7 Compare your answers with these: 4x2 -3x 7
terms
4x2
-3x 7
factors
4 and x2
-3 and x
coefficients 4 -3
constants
Are any of these terms “like terms”?
Are there any like terms in the expression 5x – 9 + 3x?
Can this expression be simplified?

5. What is the value of the expression ?
In order for us to communicate effectively, we must all follow the same order of operations. Let’s review.
1. Evaluate inside grouping symbols.
( ), [ ], { }, & fraction bars are grouping symbols
2. Evaluate exponents.
3. Multiply and divide from left to right.
4. Add and subtract from left to right.

6. Ex. 1 Identify each term, coefficient, factor and constant of .
Step 1: Simplify the expression
distribute:
combine like terms:
arrange in descending order:
terms:
factors:
coefficients:
constants:

7. Ex. 2
A smartphone is on sale for 25% off its list price. The sale price of the smartphone is $ What expression can be used to represent the list price of the smartphone? Identify each term, coefficient, constant, and factor of the expression described.

8. Ex. 2
A smartphone is on sale for 25% off its list price. The sale price of the smartphone is $ What expression can be used to represent the list price of the smartphone? Identify each term, coefficient, constant, and factor of the expression described.
Let x represent the unknown list price.
list price = sale price + discount amount
list price = x
terms: and 0.25x
factors: and x are factors of the term 0.25x
constants:

9. Ex. 3
Helen purchased 3 books from an online bookstore and received a 20% discount. The shipping cost was $10 and was not discounted. Write an expression that can be used to represent the total amount Helen paid for 3 books including shipping. Identify each term, coefficient, constant, and factor of the expression described.

10. Ex. 3
Helen purchased 3 books from an online bookstore and received a 20% discount. The shipping cost was $10 and was not discounted. Write an expression that can be used to represent the total amount Helen paid for 3 books including shipping. Identify each term, coefficient, constant, and factor of the expression described.
Let x=unknown price
Total paid=3 books + shipping
= 3x -0.20(3x) or (3x) + 10
Show that these are equivalent.
2.4x + 10
terms: 2.4x and 10
factors: 2.4 and x
coefficients: 2.4
constants: 10

11. Work with your partner to answer the following questions:
Tara and two friends had dinner at a Spanish tapas restaurant that charged $6 per tapa, or appetizer. The three of them shared several tapas. The total bill included taxes of $4.32.
What are the terms, factors, and coefficients of the algebraic expression that represents the cost of tapas ordered, including taxes?

12. HW Practice # 1-10
(Write your homework assignment on your assignment sheet.)