Question

Directions: Write the expression for each sentence below.

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

2. the product of s and 12

3. the difference of 6 from 10

4. the quotient of 6 divided by t

5. 17 less than 20

6. increase s by 2s

7. decrease 10 by r

8. add 7 times x and 4 times s

9. the quotient of 17 minus 12 and 2

10. the product of 2 and x less 10

11. the product of 7 and 2 divided by 2

12. decrease the product of 8 and 6 by a number

Answer 1

The given sentences expressed in algebraic expressions are:

1. "sum of 6 and t" is represented as: 6 + t

2. "product of s and 12" is represented as: 12s

3. "difference of 6 from 10" is represented as: 10 - 6 = 4

4. "quotient of 6 divided by t" is represented as: 6/t

5. "17 less than 20" is represented as: 20 - 17 = 3

6. 2s + s

7. 10 - r

8. 4s + 7x

9. (17 - 12)/2 = 5/2

10. (2)(x - 10)

11. (7)(2/2) = 7

12. (8)(6) - x = 48 - x

Representing Sentences with Algebraic Expressions

• Phrases are represented using algebraic expressions using numbers and mathematical operation sign.
• Quotient means division.
• Product means multiplication.
• Sum means addition, and so on.

Thus, the following sentences given can be expressed as follows:

1. "sum of 6 and t" is represented as: 6 + t

2. "product of s and 12" is represented as: 12s

3. "difference of 6 from 10" is represented as: 10 - 6 = 4

4. "quotient of 6 divided by t" is represented as: 6/t

5. "17 less than 20" is represented as: 20 - 17 = 3

6. 2s + s

7. 10 - r

8. 4s + 7x

9. (17 - 12)/2 = 5/2

10. (2)(x - 10)

11. (7)(2/2) = 7

12. (8)(6) - x = 48 - x

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