Find your seat and be ready for your Do Now Good Morning !! Find your seat and be ready for your Do Now

How long will it take Peter to bike across the court? Estimation of the Day (EOTD) How long will it take Peter to bike across the court?

Estimation of the Day (EOTD) Too Low Too High

Estimation of the Day (EOTD) It took him 6.27 seconds.

Do Now 1.) 7x + 4 for x = 6 2.) 8y – 22 for y = 9 46 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 = 6 46 50 8 y 86 23

Objective: SWBAT translate words into numbers, variables, and operations.

Ex. 1: Translating Real-World Problems into Algebraic Expressions Mr. Campbell drives at 55 mi/h. Write an algebraic expression for how far he can drive in h hours.

When solving real-world problems, you may need to determine the action to know which operation to use. Action Operation Put parts together Add Put equal parts together Multiply Find how much more Subtract Separate into equal parts Divide

Ex. 1: Translating Real-World Problems into Algebraic Expressions Mr. Campbell drives at 55 mi/h. Write an algebraic expression for how far he can drive in h hours.

H.O.T ?’s for writing expressions 1.) What variable do we use and what does it stand for? 2.) What are some other useful pieces of information? 3.) What operation do we use and why? 4.) What should our expression look like?

Ex. 2: Translating Real-World Problems into Algebraic Expressions On a history test Maritza scored 50 points on the essay. Besides the essay, each short-answer question was worth 2 points. Write an expression for her total points if she answered q short-answer questions correctly. Variable: Info: Operation: Expression:

TOYO 1 Julie Ann works on an assembly line building computers. She can assemble 8 units an hour. Write an expression for the number of units she can produce in h hours.

TOYO 2 At her job Julie Ann is paid $8 per hour. In addition, she is paid $2 for each unit she produces. Write an expression for her total hourly income if she produces u units per hour.

There are several different ways to write math expressions with words.

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

Algebraic Expressions Operation Verbal Expressions Algebraic Expressions + n + 3 - x – 12

Algebraic Expressions Operation Verbal Expressions Algebraic Expressions 2m or 2 • m + ÷ a 6 ÷ 6 or

Find your seat and be ready for your Do Now Good Morning !! Find your seat and be ready for your Do Now

How much does the pink dumbbell weigh? Estimation of the Day (EOTD) How much does the pink dumbbell weigh?

Estimation of the Day (EOTD) Too Low Too High

Estimation of the Day (EOTD) It weighs 2 pounds.

Ex. 3: Translating Verbal Expressions into Algebraic Expressions Write each phrase as an algebraic expression. A.) the quotient of a number and 4 quotient means “divide” n 4 B.) w increased by 5 increased by means “add” w + 5

C.) the difference of 3 times a number and 7 3 • x – 7 3x – 7 D.) the quotient of 4 and a number, increased by 10 the quotient of 4 and a number, increased by 10 4 n + 10

TOYO 3 Write each phrase as an algebraic expression. A.) a number decreased by 10 B.) r plus 20 C.) the product of a number and 5 D.) 4 times the difference of y and 8

Exit Ticket Write each phrase as an algebraic expression. 1. 18 less than a number 2. the quotient of a number and 21 3. 8 times the sum of x and 15 4. 7 less than the product of a number and 5 x – 18 x 21 8(x + 15) 5n – 7 5. The county fair charges an admission of $6 and then charges $2 for each ride. Write an algebraic expression to represent the total cost after r rides at the fair. 6 + 2r

Lesson Quiz for Student Response Systems 1. Which of the following is an algebraic expression that represents the phrase ‘15 less than a number’? A. x – 15 B. x + 15 C. 15 – x D. 15x

Lesson Quiz for Student Response Systems 2. Which of the following is an algebraic expression that represents the phrase ‘the product of a number and 36’? A. 36x C. B. D. x + 36 36 x x 36

Lesson Quiz for Student Response Systems 3. Which of the following is an algebraic expression that represents the phrase ‘5 times the sum of y and 17’? A. 5(y + 17) B. y + 17 C. 5y + 17 D. 5(y – 17)

Lesson Quiz for Student Response Systems 4. Which of the following is an algebraic expression that represents the phrase ‘9 less than the product of a number and 7’? A. 7x + 9 B. 7x – 9 C. 9x + 7 D. 9x – 7

Lesson Quiz for Student Response Systems 5. A painter charges $675 for labor and $30 per gallon of paint. Identify an algebraic expression that represents the total cost of painting, if the painter used x gallons of paint. A. 30 + 675x B. 675x C. 675 + 30x D. 30x