Linear Equations in One Variable-Sample Questions

      Sample Paper      
Linear equation in One Variable
1.  Solve x/3 + 1/5 = x/2 – 1/4
2.  Show that x = 4 is a solution of the equation x + 7 – 8x/3 = 17/6 – 5x/8
3.  Find x for the equation: (2 + x)(7 – x)/(5 – x)(4 + x) = 1
4.  A number is such that it is as much greater than 45 as it is less than 75. Find the number.
5.  Divide 40 into two parts such that 1/4th of one part is 3/8th of the other.
6.  x + 3x/2 = 35. Find x.
7.  A is twice old as B. Five years ago A was 3 times as old as B. Find their present ages.
8.  Solve : (x + 3)/6 + 1 = (6x – 1)/3
9.  The digits of a 2-digit number differ by 5. If the digits are interchanged and the resulting number is added to the original number, we get99. Find the original number.
10.  Solve : 5x – 3 = 3x + 7