Linear Equation in one variable For Class 8 Important Question

Q 1 – Which of the following is not a linear equation in one variable?
a) 33
b) 33(x+y)
c) 33x
d) 33y

Q 2 – The solution of 2x-3=7 is:
a) 5
b) 7
c) 12
d) 11

Q 3 – The solution of 2y + 9 = 4 is:
a) 9/2
b) 4/9
c) -⅖
d) -5/2

Q 4 – The solution of y/5 = 10 is:
a) 15
b) 10
c) 50
d) 5

Q 5 – What should be added to -7/3 to get 3/7?
a) 21/58

b) 58/2

(c) 47/21

(d) 50/21

Q 6 – The perimeter of rectangle is 20cm. If the length of rectangle is 6cm, then its breadth will be:
a) 4 cm
b) 6 cm
c) 10 cm
d) 14 cm

Q 7 – The age of father is three times the age of son. If the age of son is 15 years old, then the age of father is:
a) 50 years
b) 55 years
c) 40 years
d) 45 years

Q 8 – The difference between two whole numbers is 66. The ratio of the two numbers is 2 : 5. The two numbers are:
a) 60 and 6
b) 100 and 33
c) 110 and 44
d) 99 and 33

Q 9 – Three consecutive integers add up to 51. The integers are:
a) 16,17,18
b) 15,16,17
c) 17,18,19
d) 18,19,20

Q 10 – The solution for 3m = 5m – (8/5) is:
a) 8/5
b) ⅘
c) 5/4
d) 4/3

Q 11 – Check whether the linear equation 3x + 5 = 11 is true for x = 2.

Q 12 – Form a linear equation from the given statement: ‘When 5 is added to twice a number, it gives 11.’

Q 13 – Identify the algebraic linear equations from the given expressions.
(a) x2 + x = 2
(b) 3x + 5 = 11
(c) 5 + 7 = 12
(d) x + y2 = 3

Q 13 – Identify the algebraic linear equations from the given expressions.
(a) x2 + x = 2
(b) 3x + 5 = 11
(c) 5 + 7 = 12
(d) x + y2 = 3

Q 14 – Verify that x = 2 is the solution of the equation 4.4x – 3.8 = 5.

Q 15 – The angles of a triangle are in the ratio 2 : 3 : 4. Find the angles of the triangle.

Q 16 – The sum of two numbers is 11 and their difference is 5. Find the numbers.

 Q 17 – If the sum of two consecutive numbers is 11, find the numbers.

Q 18 – The sum of a two-digit number and the number obtained by reversing its digits is 121. Find the number if it’s unit place digit is 5.

Q 19 – A steamer goes downstream from one point to another in 7 hours. It covers the same distance upstream in 8 hours. If the speed of stream be 2 km/h, find the speed of the steamer in still water and the distance between the ports.

Q 20 – A fruit seller buys some oranges at the rate of ₹ 5 per orange. He also buys an equal number of bananas at the rate of Rupee 2 per banana. He makes a profit of 20% on oranges and a profit of 15% on bananas. In the end, he sold all the fruits. If he earned a profit of Rupee 390, find the number of oranges.