1. Unit 7, Lesson 1: Translating Expressions Standard: AF 1.1 Objective: Translate verbal phrases

2. Vocabulary & Key Concepts Expression: numbers, variables, and operations.  Example: 3x – 6 Numerical Expression: numbers and operations only.  Example: 4 + 7 Algebraic Expression: expression with variables.  Example: x + 10 Term: numbers with variables separated by + or – signs.  Example: 7x + 9y – 7

3. Objective - To translate variable expressions. add plus sum increased by total more than added to subtract minus difference decreased by diminished by less than subtracted from less multiply times product …of... twice divide quotient

4. Backwards Words Add 3 and 7=3 + 7 The sum of 3 and 7=3 + 7 3 increased by 7=3 + 7 The total of 3 and 7=3 + 7 3 more than 7=7 + 3 3 added to 7=7 + 3

5. Backwards Words 7 subtract 3=7 - 3 The difference of 7 and 3=7 - 3 7 decreased by 3=7 - 3 7 diminished by 3=7 - 3 7 less than 3=3 - 7 7 subtracted from 3=3 - 7 7 less 3=7 - 3

6. Translate the following phrases. 1) Five plus x minus 3 2) Three times y less 4 3) Eight multiplied by y minus 7 4) The product of 10 and m decreased by 7 5) Four more than the quotient of x and 3 6) Six times m plus 8 5 + x - 3 8y - 7 10m - 7 6m + 8

7. Match each phrase with its variable expression. 1) Twice the sum of x and 3 2) Two less than the product of 3 and x 3) Three times the difference of x and 2 4) Twice a number x less 3 5) Two more than 3 times a number x a b e c d

8. Write a phrase that describes each variable expression below. 1) 2) 3) Four times the sum of x and 5 minus 2 Seven minus twice the quotient of x and 3 The quotient of m and 9 minus 4

9. Define a variable to represent the unknown and write the phrase as a variable expression. 1) 10 mph faster than the Honda 2) 7 inches shorter than Jill’s brother 3) 5 acres larger than twice the size of my lot 4) $7.50 times the number of people plus a $20 group registration Let x = the speed of the Honda x + 10 Let b = the height of Jill’s brother b - 7 Let k = the size of my lot 2k + 5 Let y = the number of people $7.5y + $20

10. Problem Situation #1 A cab driver charges a surcharge of $4 plus $1.50 per mile. Write a variable expression that represents the total cost of the fare. Let x = # of miles driven 4 + 1.5x

11. Problem Situation #2 ATI Phone Services charges a monthly fee of $16 plus 18 cents a minute for local calls and 40 cents a minute for long distance. Write a variable expression that describes the total monthly bill. Let a = # of local minutes 16 Let b = # of long distance minutes + 0.18a+ 0.40b

12. Review 1) What is the difference between a numerical expression and an algebraic expression? 2) What is a term? 3) What is a word for add? 4) What is a word for subtract? 5) What is a word for multiply? 6) What is a word for divide?