# Linear Equations in One Variable-Sample Papers

LINEAR EQUATION IN ONE VARIABLE
MAX TIME: 90mins
MAX MARKS: 30
1.  Solve the following Equations ( 2 marks each)
a)    (2x - 5)/(3x - 1) = (2x - 1)/(3x + 2)
b)    (3 - 7x)/(15 + 2x) = 0
c)    (0.4y - 3)/(1.5y + 9) = -7/5
d)    2/(3x - 1) + 3/(3x + 1) = 5/3x
e)    2/(x - 3) + 1/(x - 1) = 5/(x - 1) - 2/(x - 2)
f)    15(x - y) - 3(x - 9) + 5(x + 6) = 0
g)    y/2 - 1/2 = y/3 + 1/4
h)    (0.5y - 9)/0.25 = 4y - 3
i)    (t) [17(2 - y) - 5(y + 12)]/(1 - 7y) = 8
2.  Sunita is as twice as old as Ashima. If six years is subtracted from Ashima's age and 4 years added to Sunitas age, then Sunita will be four times Ashima’s age. How old were they two years ago? (3 marks)
3.  The sum of two twin prime numbers is 60. Find the prime nos. (3 marks)
4.  Of the three angles of a triangle, the second one is one third of the first and the third angle is 26 degrees more than the first angle. Find all the three angles of the triangle. (3 marks)
5.  If one number is multiplied by the Number the resulting number is the sum of the square of the first number and cube root of the second number. Find the number of such Pairs. (3 marks)
Answers
(a) -11/6
(b) 3/7
(c) - 96/25
(d) 5/3
(e) 7/3
(f) -1/6
(g) 9/2
(h) -16.5
(i) 1
2. ashima 12 sunita 26
3. Prime nos = 29, 31
4. 66, 22, 92
5. (0, 0)