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Home , Algebraic expression, Expression (mathematics)

Name:______3.2 Writing Expressions and

To translate statements into expressions and equations: 1) Identify __KEY__ __WORDS____ that indicate the operation. 2) Write the numbers/variables in the correct order.

The SUM of _____5______and ______8______: _____5 + 8_____ The DIFFERENCE of ___n_____ and ____3______: _____n – 3______The PRODUCT of ____4______and ____b – 1____: __4(b – 1)___

The of ___4_____ and ____ b – 1_____: 4 ÷ (b – 1) or

Write each verbal phrase as an algebraic .

1. the sum of 8 and t 8 + t 2. the quotient of g and 15

3. the product of 5 and b 5b 4. the difference of 32 and x 32 – x

SWITCH THE LESS THAN the first number subtracted ORDER OF from the second! THE TERMS! MORE THAN

5. Eight more than x _x +8_ 6. Six less than p __p – 6___

Write the phrase five dollars less than Jennifer earned as an .

Key Words five dollars less than Jennifer earned Let d represent # of $ Jennifer earned Expression d – 5

6. 14 less than f f – 14 7. p more than 10 10 + p

8. 3 more runs than Pirates scored P + 3 9. 12 less than some number n – 12

10. Arthur is 8 years younger than Tanya 11. Kelly’s test score is 6 points higher than Mike’s

IS, equals, is equal to Substitute with equal sign.

7. 5 more than a number is 6. 8. The product of 7 and b is equal to 63. n + 5 = 6 7b = 63

9. The sum of r and 45 is 79. 10. The quotient of x and 7 is equal to 13. r + 45 = 79 = 13

TWICE = DOUBLE = 2 times a number = multiply by 2

Addition Phrases Expression Phrases Expression 8 more than a number The difference of r and 6 The sum of 8 and a number x + 8 r decreased by 6 r - 6 x increased by 8 6 less than a number the total of x and 8 6 subtracted from a number Phrases Expression Phrases Expression Twice a number The quotient of z and 3 The product of 2 and n 2n A number divided by 3 2 multiplied by a number The ratio of z and 3 2 times a number

Practice: Underline key words. Write each phrase as an algebraic expression or .

11. Seven less than a number is 15 n – 7 = 15 12. The total of 5 and c 5 + c

13. 7 less than m m – 7 14. The sum of a number and 16 is 23 n + 16 = 23

15. the score increased by 8 points s + 8 16. The quotient of w and 10 is equal to 7 =7

18. 17 more than some number is 57 n – 17 = 57 19. $12 less than the original price is $48 p–12=48

20. twice as many points as Bob has 2B 21. (– 65) is 5 times a product of 5 and a number -65 = 5(5n) Translate each expression or equation into a word expression or statement.

22) 9y the product of 9 and number y______

23) x – 8 = 14 _8 less than a number is 14.__

24) = 24 __the quotient of y and 12 is 24___ Writing Two-Step Expressions and Equations

Six less than twice a number x is four Two less than the quotient of 15 and a number

2x – 6 = 4 – 2 = 15

Nine times a number decreased by four ← 4 is subtracted at the very end

9n – 4 YOU MUST USE PARENTHESES for · or ÷ Five times the sum of six and some number THE (SUM) or (DIFFERENCE)! 5 (6 + n)

Twice the difference of y and three The quotient of 7 and d decreased by 9

2 ( y – 3) – 9

The sum of 5 and product of 7 and x The difference of 9 and the quotient of s and –4

5 + 7x 9 –

The product of 4 and the difference of x and 3 The product of the difference of x and 3 and 4

4( x – 3) (x – 3)4

7. Five less than twice a number is 7. __2n – 5 = 7____

8. One less than the product of four and a number is 11. __4n – 1 = 11_

9. Ten more than the quotient of a number and 3 is 12. + 10 = 12______

10. The sum of 9 and the quotient of x and 7 is 11. _9 + _= 11______

11. The product of 2 and the sum of 5 and t is 8. ___2(5 + t) = 8___

12. Ten less than the quotient of a number and −2 is three ___ – 10 = 3______

13. 7(b + 2) _The product of 7 and the sum of b and 2_

14. 2c – 5 __5 less than twice a number______