Name: Unit3 #2 Writing Expressions and Equations

Unit3 #2

Name:_______________________________

Writing Expressions and Equations

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 ¨C 3______

The PRODUCT of ____4______ and ____b ¨C 1____: __4(b ¨C 1)___

The QUOTIENT of ___4_____ and ____ b ¨C 1_____:

4 ¡Â (b ¨C 1) or

Write each verbal phrase as an algebraic expression.

1. the sum of 8 and t 8 + t

3. the product of 5 and b

2. the quotient of g and 15

5b

LESS THAN

4. the difference of 32 and x 32 - x

SWITCH THE

ORDER OF

THE TERMS!

the first number subtracted

from the second!

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 algebraic expression.

Key Words five dollars less than Jennifer earned

Variable Let d represent # of $ Jennifer earned

Expression

d¨C5

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 ¨C 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.

n+5= 6

8. The product of 7 and b is equal to 63.

7b

=

63

9. The sum of r and 45 is 79.

r + 45 = 79

10. The quotient of x and 7 is equal to 13.

x / 7

=

13

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

Addition Phrases

8 more than a number

The sum of 8 and a number

x increased by 8

the total of x and 8

Multiplication Phrases

Twice a number

The product of 2 and n

2 multiplied by a number

2 times a number

Expression

x+8

Expression

2n

Subtraction Phrases

The difference of r and 6

r decreased by 6

6 less than a number

6 subtracted from a number

Division Phrases

The quotient of z and 3

A number divided by 3

The ratio of z and 3

Expression

r-6

Expression

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

11. Seven less than a number is 15 n ¨C 7 = 15

12. The total of 5 and c

13. 7 less than m

14. The sum of a number and 16 is 23 n + 16 = 23

m¨C7

5+c

15. the score increased by 8 points s + 8

16. The quotient of w and 10 is equal to 7 w/10 =7

18. 17 more than some number is 57 n ¨C 17 = 57

19. $12 less than the original price is $48 p¨C12=48

20. twice as many points as Bob has 2B

21. (¨C 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

23)

x ¨C 8 = 14 _8 less than a number is 14.__

24)

the product of 9 and number y________________

= 24 __the quotient of y and 12 is 24___

Writing Two-Step Expressions and Equations

Six less than twice a number x is four

2x ¨C 6 = 4

Two less than the quotient of 15 and a number

¨C 2 = 15

Nine times a number decreased by four

9n ¨C 4

Five times the sum of six and some number

YOU MUST USE

PARENTHESES for ¡¤ or ¡Â

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 ¨C 3)

The sum of 5 and product of 7 and x

¨C9

The difference of 9 and the quotient of s and ¨C4

5 + 7x

The product of 4 and the difference of x and 3

9¨C

The product of the difference of x and 3 and 4

4( x ¨C 3)

(x ¨C 3)4

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

8. One less than the product of four and a number is 11. __4n ¨C 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 ___

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

14. 2c ¨C 5 __5 less than twice a number_________

¨C 10 = 3_______

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