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