Question

Translate each sentence into an equation.

1.
Three more than four times a number is equal to twelve.
2.
The sum of a number and two is twice the number.
3.
The quotient of a number and twelve is the sum of eight and the number.
4.
Five more than three times a number is equal to eight.
5.
The sum of a number and six is seven times the number.
6.
The quotient of a number and six is equal to nine.
7.
Seven less than a number is two.
8.
Twenty-seven is the product of three and a number.
9.
Twelve less than six times a number is equal to three times the number. ...?

Answer 1

`1. 4x+3=12 \\ 2. x+2=2x \\ 3.x/12=8+x \\ 4.3x+5=8 \\ 5.x+6=7x \\ 6.x/6=9 \\ 7.x-7=2 \\ 8.3x=27 \\ 9.6x-12=3x`

Answer 2

1. Three more than four times a number is equal to twelve.
4x + 3 = 12

2. The sum of a number and two is twice the number.
x + 2 = 2x

3. The quotient of a number and twelve is the sum of eight and the number.
x/12 = 8 + x

4. Five more than three times a number is equal to eight.
3x + 5 = 8

5. The sum of a number and six is seven times the number.
x + 6 = 7x

6. The quotient of a number and six is equal to nine.
x/6 = 9

7. Seven less than a number is two.
x -7 = 2

8. Twenty-seven is the product of three and a number.
3x = 27

9. Twelve less than six times a number is equal to three times the number.
6x - 12 = 3x