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.

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.

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

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?

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.

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:

Ex. 2 A smartphone is on sale for 25% off its list price. The sale price of the smartphone is $149.25. What expression can be used to represent the list price of the smartphone? Identify each term, coefficient, constant, and factor of the expression described.

Ex. 2 A smartphone is on sale for 25% off its list price. The sale price of the smartphone is $149.25. 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 = 149.25 + 0.25x terms: 149.25 and 0.25x factors: 0.25 and x are factors of the term 0.25x constants: 149.25

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.

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) + 10 or 0.80(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

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?

HW Practice 1.1.1 # 1-10 (Write your homework assignment on your assignment sheet.)