Question

Translate each word expression into an algebraic expression.

(plss answer)

1. One-half the difference of a number and 5:

2. The difference of twice a number and 8 increased by 5:

3. The quotient of 5 and the sum of 8 and twice a number

4. 8 decreased by the product of 5 and a number

5. One-half a number subtracted from 5

6.The square of the difference of the opposite of a number and 5

7. The difference of the square of the opposite of a number and 5

8. The difference of the squares of the opposite of a number and 5

9. Twice the difference of a number and 5

10. The difference of twice a number and 5

Answer 1

To translate the given word expressions into algebraic expressions, it can be done step-by-step using mathematical rules and notation. Each expression represents a unique mathematical relationship between numbers and operations. Understanding the given information, we can represent the expressions using the correct algebraic symbols and operations.

Step-by-step explanation:

1. One-half the difference of a number and 5: (x - 5) / 2
2. The difference of twice a number and 8 increased by 5: (2x - 8) + 5
3. The quotient of 5 and the sum of 8 and twice a number: 5 / (8 + 2x)
4. 8 decreased by the product of 5 and a number: 8 - (5x)
5. One-half a number subtracted from 5: 5 - (x/2)
6. The square of the difference of the opposite of a number and 5: ((-x) - 5)^2
7. The difference of the square of the opposite of a number and 5: ((-x)^2) - 5
8. The difference of the squares of the opposite of a number and 5: ((-x)^2) - 5^2
9. Twice the difference of a number and 5: 2(x - 5)
10. The difference of twice a number and 5: (2x - 5)