Section 1 Warm-Up

1. How many terms are in the following expression?

2. What are the factors in the expression ?

3. 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.

9182736 23 xxx

4711 2 xx

Unit 1 Pre-assessment

1. 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.

9182736 23 xxx

4711 2 xx

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+7terms

factors

coefficients

constants

Expression 4x2-3x+7terms 4x2 -3x 7factors 4 and x2 -3 and xcoefficients 4 -3constants 7

Compare your answers with these:

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.

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Ex. 1 Identify each term, coefficient, factor and constant of .

Step 1: Simplify the expressiondistribute:

combine like terms:

arrange in descending order:

terms:factors:coefficients:constants:

5)41()3(2 xxx

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 amountlist price = 149.25 + 0.25xterms: 149.25 and 0.25xfactors: 0.25 and x are factors of the term 0.25xconstants: 149.25

Ex. 3Helen 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. 3Helen 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 priceTotal paid=3 books + shipping = 3x -0.20(3x) + 10 or 0.80(3x) + 10Show that these are equivalent. 2.4x + 10terms: 2.4x and 10factors: 2.4 and xcoefficients: 2.4constants: 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.)