Stallion Starter Evaluate each algebraic expression for the given value of the variables. 1.) 7x + 4 for x = 6 2.) 8y – 22 for y = 9 3.) 12x + for x = 7 and y = 4 4.) y + 3z for y = 5 and z = y8y 23

When solving real-world problems, you will need to translate ________, or _________ __________, into _________ ___________. When solving real-world problems, you will need to translate ________, or _________ __________, into _________ ___________. ____________ expressions should be written in _____-by-____ form, with the number always in _____ of the variable. _______ ________ ________ ________ _________ expressions should be written using the ________ _____ instead of the traditional ___________ sign. _______ _______ GUIDED NOTES (COPY THE FOLLOWING INTO YOUR NOTES)

Writing Algebraic Expressions Objective: Be able to write an algebraic expression for a word phrase or write a word phrase for an expression.

Although they are closely related, a Great Dane weighs about 40 times as much as a Chihuahua. When solving real-world problems, you will need to translate words, or verbal expressions, into algebraic expressions. An expression for the weight of the Great Dane could be 40c, where c is the weight of the Chihuahua.

Notes In order to translate a word phrase into an algebraic expression, we must first know some key word phrases for the basic operations.

Notes: AdditionSubtraction MultiplicationDivision

Addition Phrases: More than Increase by Greater than AddTotalPlusSum

Subtraction Phrases: Decreased by Difference between Take Away LessSubtract Less than* Subtract from*

Multiplication Phrases: ProductTimesMultiplyOf Twice or double Triple

Division Phrases: QuotientDivide Divided by Split equally

Notes Multiplication expressions should be written in side-by-side form, with the number always in front of the variable. 3a 2t 1.5c 0.4f

Notes Division expressions should be written using the fraction bar instead of the traditional division sign.

Guided Problems Addition phrases: 3 more than x 3 more than x the sum of 10 and a number c the sum of 10 and a number c a number n increased by 4.5 a number n increased by 4.5

Guided Problems Subtraction phrases: a number t decreased by 4 the difference between 10 and a number y 6 less than a number z

Multiplication phrases: the product of 3 and a number t the product of 3 and a number t twice the number x twice the number x 4.2 times a number e 4.2 times a number e

Guided Problems Division phrases: the quotient of 25 and a number b the quotient of 25 and a number b the number y divided by 2 the number y divided by divide g 2.5 divide g

Guided Problems Mr. Nehru bought two adult tickets and three student tickets for the planetarium show. Write an algebraic expression that represents the cost of the tickets. Let a be the cost of the adult tickets Let c be the cost of the student tickets The cost of the tickets is represented by 2a + 3c

Guided Problems It takes Earth about 365 days to orbit the Sun. It takes Uranus about 85 times as long. Write an Algebraic and a numeric expression to describe the number of days it takes Uranus to orbit the Sun. Let u be the number of days it takes Uranus to orbit the Sun. Let e be the number of days it takes Earth to orbit the Sun. EarthUranusAlgebraicNumeric e85 times e85e85(365) =31,025 days