Translate each of the following statements into an equation, using x as the variable:

(a) 13 subtracted from twice a number gives 3.

(b) One fifth of a number is 5 less than that number.

(c) Two-third of number is 12.

(d) 9 added to twice a number gives 13.

(e) 1 subtracted from one-third of a number gives 1.

(a) Let the variable number be ‘x’

Twice of that number = 2x

13 subtracted from twice of that number = 2x – 13

Equation: 2x – 13 = 3

(b) Let the variable number be ‘x’

One fifth of the number = x

5 less than that number = x – 5

Equation: x = x – 5

(c) Let the variable number be ‘x’

Two-third of number = x

Equation: x = 12

(d) Let the variable number be ‘x’

Twice of number = 2x

9 added to twice a number = 2x + 9

Equation: 2x + 9 = 13

(e) Let the variable number be ‘x’

One-third of number = x

1 subtracted from one-third of number = x – 1

Equation: x – 1 = 1