There are words that give clues to the operation you should perform in math expressions.

For *addition*: plus, add, increase, sum

For *subtraction*: minus, subtract, decrease, less, difference

For *multiplication*: times, multiply, product

For *division*: divide, divided by, quotient, over

**Review**

*Directions: Write the expression for each sentence below.*

1. the sum of 6 and t = 6 + t

2. the product of y and 11

3. the difference of 4 from 12

4. the quotient of 6 divided by t

5. 19 less than 25

6. increase s by 2s

7. decrease 11 by r

8. add 6 times x with 2 times s

9. the quotient of 17 minus 12 over 2

10. the product of 3 and x less 10

11. the product of 7 and 2 divided by 2

12. decrease the product of 7 and 6 by a number

x*For problems 13-19, transcribe the following expressions: (Write it out.)*

*Example: z* + 4 = z plus 4

13. xy

14. 7/t - 4

15. 22 + t2

16. 51 - x

17. x – y^2

18. 36/12 + 12

19. ab - 16

Let's go through each problem step by step:

### Expressions from Sentences

1. **The sum of 6 and t:**  
   Expression: \( 6 + t \)  
   *This is correct.*

2. **The product of y and 11:**  
   Expression: \( 11y \)  
   *You multiply y by 11.*

3. **The difference of 4 from 12:**  
   Expression: \( 12 - 4 \)  
   *Subtract 4 from 12.*

4. **The quotient of 6 divided by t:**  
   Expression: \( \frac{6}{t} \)  
   *You divide 6 by t.*

5. **19 less than 25:**  
   Expression: \( 25 - 19 \)  
   *Subtract 19 from 25.*

6. **Increase s by 2s:**  
   Expression: \( s + 2s \)  
   *You add s to 2 times s.*

7. **Decrease 11 by r:**  
   Expression: \( 11 - r \)  
   *Subtract r from 11.*

8. **Add 6 times x with 2 times s:**  
   Expression: \( 6x + 2s \)  
   *You add 6 times x to 2 times s.*

9. **The quotient of 17 minus 12 over 2:**  
   Expression: \( \frac{17 - 12}{2} \)  
   *Subtract 12 from 17, then divide by 2.*

10. **The product of 3 and x less 10:**  
    Expression: \( 3x - 10 \)  
    *Multiply 3 by x, then subtract 10.*

11. **The product of 7 and 2 divided by 2:**  
    Expression: \( \frac{7 \times 2}{2} \)  
    *Multiply 7 by 2, then divide by 2.*

12. **Decrease the product of 7 and 6 by a number x:**  
    Expression: \( 7 \times 6 - x \)  
    *Multiply 7 by 6, then subtract x.*

### Transcription of Expressions

13. **xy:**  
    Transcription: *x times y*  
    *You multiply x by y.*

14. **\(\frac{7}{t} - 4\):**  
    Transcription: *7 divided by t minus 4*  
    *You divide 7 by t and then subtract 4.*

15. **\( 22 + t^2 \):**  
    Transcription: *22 plus t squared*  
    *Add 22 to the square of t.*

16. **\( 51 - x \):**  
    Transcription: *51 minus x*  
    *Subtract x from 51.*

17. **\( x - y^2 \):**  
    Transcription: *x minus y squared*  
    *Subtract the square of y from x.*

18. **\( \frac{36}{12} + 12 \):**  
    Transcription: *36 divided by 12 plus 12*  
    *Divide 36 by 12, then add 12.*

19. **\( ab - 16 \):**  
    Transcription: *a times b minus 16*  
    *Multiply a by b, then subtract 16.*

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Would you like more details on any of these expressions, or do you have any questions? Here are five related questions you might consider:

1. How would you write the expression for "the sum of 5 and 3 times z"?
2. What is the expression for "the product of m and n decreased by 5"?
3. How do you express "the difference between 8 and 4 times y"?
4. Can you write "the quotient of x squared and 5" in algebraic form?
5. How would you transcribe the expression \( \frac{10}{2} + 4y \)?

**Tip:** When writing expressions from sentences, pay close attention to words like "less than" or "increased by," as they indicate the direction and order of the operations.

Explore how to translate word clues into mathematical expressions for addition, subtraction, multiplication, and division. Learn essential formulas and examples to master these concepts. Suitable for students in Grades 5-7.

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