1 4 Translate Words into Math Do Now

1 -4 Translate Words into Math Do Now Evaluate each algebraic expression for the given value of the variables. 1. 7 x + 4 for x = 6 8 2. 12 x + y for x = 7 and y = 4 46 86

1 -4 Translate Words into Math Learn to translate words into numbers, variables, and operations.

1 -4 Translate Words into Math Operation • • • Verbal Expressions Algebraic Expressions add 3 to a number plus 3 the sum of a number and 3 3 more than a number increased by 3 n+3 • subtract 12 from a number • a number minus 12 • the difference of a number and 12 • 12 less than a number • a number decreased by 12 • take away 12 from a number • a number less than 12 x – 12

1 -4 Translate Words into Math Operation Verbal Expressions Algebraic Expressions • 2 times a number • 2 multiplied by a number 2 m or 2 • m • the product of 2 and a number • 6 divided into a number ÷ • a number divided by 6 • the quotient of a number and 6 a ÷ 6 or a 6

1 -4 Translate Words into Math “Turn Around” Subtraction Words • Less than 8 less than x x – 8 • From 6 taken away from r r - 6 y subtracted from 9 9 - r

1 -4 Translate Words into Math Parentheses Words • The quantity • Twice the sum of • Times the difference of *Remember: Whenever you see “a number” use any variable

1 -4 Translate Words into Math Practice Write each phrase as an algebraic expression. 1. the quotient of a number and 4 quotient means “divide” n 4 2. w increased by 5 increased by means “add” w+5

1 -4 Translate Words into Math Practice Write each phrase as an algebraic expression. 3. the difference of 3 times a number and 7 3 • x – 7 3 x – 7 4. the quotient of 4 and a number, increased by 10 4 + 10 n

1 -4 Translate Words into Math Practice Write each phrase as an algebraic expression. 5. a number decreased by 10 decreased means “subtract” n – 10 6. r plus 20 plus means “add” r + 20

1 -4 Translate Words into Math Practice Write each phrase as an algebraic expression. 7. the product of a number and 5 n • 5 5 n 8. 4 times the difference of y and 8 y 4 • 4(y – 8) – 8

1 -4 Translate Words into Math Practice 9. Mr. Campbell drives at 55 mi/h. Write an algebraic expression for how far he can drive in h hours. You need to put equal parts together. This involves multiplication. 55 mi/h · h hours = 55 h miles

1 -4 Translate Words into Math Practice 10. On a history test Maritza scored 50 points on the essay. In addition, each short-answer question was worth 2 points. Write an expression for her total points if she answered q short-answer questions correctly. 50 + 2 q

1 -4 Translate Words into Math Practice 11. 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. 8 units/h · h hours = 8 h

1 -4 Translate Words into Math Practice 12. John makes $12 per hour at work. Julie makes twice the difference of John’s salary and a number. Write an expression to represent Julie’s salary. 2(12 - n)

1 -4 Translate Words into Math Lesson Quiz Write each phrase as an algebraic expression. 1. 18 less than a number x – 18 x 2. the quotient of a number and 21 21 3. 8 times the sum of x and 15 8(x + 15) 4. 7 less than the product of a number and 5 5 n – 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 + 2 r

1 -4 Translate Words into Math 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. 15 x

1 -4 Translate Words into Math 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. 36 x x x + 36 B. D. 36 36 C. x

1 -4 Translate Words into Math 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. 5 y + 17 D. 5(y – 17)

1 -4 Translate Words into Math 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. 7 x + 9 B. 7 x – 9 C. 9 x + 7 D. 9 x – 7

1 -4 Translate Words into Math 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 + 675 x B. 675 x C. 675 + 30 x D. 30 x