Question

Convert the following English Senteces to Mathematical statements/equations

1. four times a number decreased by ten
2. five times the sum of a number and nine.
3. one-fourth of the sum of two numbers.
4. the sum of the square of a number and five times the number.
5. The quotient of a number augmented by two, and two-thirds of the number.
6. The quotient of two less than a number, and eight is twenty.
7. Two is the result when a number less nine is divided by three.
8. A number less seven is equal to the quotient of the number and three.
9. The ratio of five times a number, and four times the square of the number increased by 8 is fifteen.
10. The difference between twenty and twelve times the sum of thrice a number and one is six

Answer 1

Explanation:

1. 4x - 10

2. 5(x + 9)

3. (1/4)(x + y)

4. x^2 + 5x

5. (x+2)/(2x/3)

6. (x-2)/8 = 20

7. (x-9)/3 = 2

8. x-7 = x/3

9. 5x / (4y + 8) = 15

10. 20 - 12(3x+1) = 6