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


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