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Translating Verbal Phrases to Expressions/Equations Key Words help us to know what operations to work with. Here are some below. Addition Subtraction Multiplication Division Equals added to-write subtracted from-write backwards backwards multiplied by divided by Results in sum of difference of product quotient equals Plus minus/subtract times divided into Is/was more than-write less than-write backwards backwards double, triple, quadruple ratio of yields Per/each is the same as Of increased by decreased by *finding a percent of or a fraction of a number also indicates that you multiply totals less twice combined separated remain Is equivalent to Unknown quantities should always be written as a variable. *Replace the word “and” with the operation indicated and write what you see—unless there is a turn-around phrase. 1. Circle the operation 3. Box in any expression indicating an equation. 2. Underline the unknown 4. Write the expression or equation. Examples: Phrase – Written Language 1. Eight more than some number 2. One-fourth of a number is 12 3. Two more than four times some number 4. Eight less than some number is 16 5. Five less than the product of two numbers 6. Twenty-five percent of some number yields 50 7. Seven less than three times some number equals 65 8. Three times the sum of a number and 18 Expression/Equation Translating Verbal Phrases to Expressions/Equations Translating Phrases into Equations and Expressions 1. Circle the operation 3. Box in any expression indicating an equation. 2. Underline the unknown 4. Write the expression or equation. Directions: Translate the following phrases into mathematical expression or equations. 1. The sum of a number and ten. 1. __________________________ 2. The difference between 5 and a number. 2. __________________________ 3. Six less than the product of a number and 7 3. __________________________ 4. Eighteen more than a number. 4. __________________________ 5. Five times a number is 75. 5. __________________________ 6. A number divided by 14 equals 16. 6. __________________________ 7. 5 more than a number. 7. __________________________ 8. The sum of a number and 12 is 16. 8. __________________________ 9. Sixteen less than twice a number. 9. __________________________ 10. Two-thirds of a number. 10. __________________________ 11. Five divided by a number is 5 11. __________________________ 12. Six less than three times a number. 12. __________________________ 13. The difference of a number and eight divided by ten. 14. 45% of a number 13. __________________________ 15. 10 times a number is equal to 60. 15. __________________________ 16. Sixteen less than the sum of three and a number. 16. __________________________ 17. A number is decreased by 9. 17. __________________________ 14. __________________________ Translating Verbal Phrases to Expressions/Equations 18. Five more than the sum of a number and 7. 18. __________________________ 19. The product of a number and three. 19. __________________________ 20. Twice the sum of five and a number. 20. __________________________ 21. The difference between 18.5m and 9.03m. 21. _________________________ Write two expressions and then find their sum or difference 22. Sue earns $15.95 per hour (h) plus a $100 bonus. Steve earns $ 8.50 per hour (h) plus a $300 bonus. If they combine their incomes, how much does the household make? *The variable is already defined for you. Sue’s income: Steve’s income: Their income combined: 23. John has 6 boxes of b baseball cards, and 17 addition cards. Mark has 4 boxes of b baseball cards, and 200 addition cards. What’s the difference between them? *The variable is already defined for you. John’s amount of cards: Mark’s amount of cards: The difference in their amount of cards: Translating Verbal Phrases to Expressions/Equations Exit Pass Translate each phrase into an expression or equation. 1. 2. 3. 4. 5. 6. 7. 8. 9. Six less than twice a number is forty-five. A number minus seven yields ten The total of six and some number Twelve added to a number Eight times a number is forty-eight The product of fourteen and a number Twice a number minus eight Three-fourths of a number Four times the difference of a number and seven Homework: Worksheet 1-17