Mathematics

Linear Equations in One Variable

Question:

0.4(3x-1)=0.5x +1

Answer:

ncert-exemplar-problems-class-8-mathematics-linear-equations-in-one-variable-17

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Linear Equations in One Variable

Q 1.

8x-7-3x=6x-2x-3

Q 2.

The solution of the equation 3x – 4 = 1 – 2x is————- .

Q 4.

If x is an even number, then the next even number is 2(x +1).

Q 6.

If –frac { 4 }{ 3 } y = –frac { 3 }{ 4 } then y is equal to
(a)-{ left[ frac { 3 }{ 4 } 
ight] }^{ 2 } (b)-{ left[ frac { 4 }{ 3 } 
ight] }^{ 2 }
(c){ left[ frac { 3 }{ 4 } 
ight] }^{ 2 } (d){ left[ frac { 4 }{ 3 } 
ight] }^{ 2 }

Q 7.

Find a number whose fifth part increased by 30 is equal to its fourth part decreased by 30.

Q 8.

If frac { x }{ 11 } , then x=frac { 11 }{ 15 } .

Q 9.

The age of A is five years more than that of B. 5 years ago, the ratio of their ages was 3 :2. Find their present ages.

Q 10.

If frac { 5x }{ 3 }-4 =frac { 2x }{ 5 } , then the numerical value of 2x – 7 is
(a)frac { 19 }{ 13 } (b)frac { -13 }{ 19 }
(c)0 (d)frac { 13 }{ 19 }

Q 11.

When a number is divided by 8, the result is -3. The number is——–.

Q 12.

When 9 is subtracted from the product of p and 4, the result is 11. The value of p is—-.

Q 13.

The sum of three consecutive odd natural numbers is 69. Find the prime number out of these numbers.

Q 14.

The solution of the equation 2y = 5y-frac { 18 }{ 5 } is————.

Q 15.

If the sum of two consecutive numbers is 93 and one of them is x, then the other number is 93 – x.

Q 16.

The number of boys and girls in a class are in the ratio 5 : 4. If the number of boys is 9 more than the number of girls, then number of boys is 9.

Q 17.

The solutoni of the equation ax + b = 0 is

ncert-exemplar-problems-class-8-mathematics-linear-equations-in-one-variable-3

Q 18.

The number of boys and girls in a class are in the ratio 5 : 4. If the number of boys is 9 more than the number of girls, then number of boys is 9.

Q 19.

If 1/2 is subtracted from a number and the difference is multiplied by 4, the result is 5. What is the number?

Q 20.

There are 40 passengers in a bus, some with Rs 3 tickets and remaining with Rs 10 tickets. The total collection from these passengers is Rs 295. Find how many passengers have tickets worth Rs 3?

Q 21.

Which of the following is a linear expression?
(a) { x }^{ 2 } +1 (b) y + { y }^{ 2 }
(c) 4 (d) 1 + z

Q 22.

The value of S in frac { 1 }{ 3 } + S = frac { 2 }{ 5 } is
(a)frac { 4 }{ 5 } (b)frac { 1 }{ 15 }
(c)10 (d)0

Q 23.

On subtracting 8 from x, the result is 2. The value of x is——–.

Q 24.

When 9 is subtracted from the product of p and 4, the result is 11. The value of p is—-.

Q 25.

 frac { y-(4-3y) }{ 2y-(3y+4y) } =frac { 1 }{ 5 }

Q 26.

0.4(3x-1)=0.5x +1

Q 27.

The volume of water in a tank is twice of that in the other. If we draw out 25 litres from the first and add it to the other, the volumes of the water in each tank will be the same. Find the volumes of water in each tank.

Q 28.

After 12 years, Kanwar shall be 3 times as old as he was 4 years ago. Find his present age.

Q 29.

The sum of four consecutive integers is 266. What are the integers?

Q 30.

A steamer goes downstream and covers the distance between two ports in 3 hours. It covers distance in 5 hours, when it goes upstream. If the stream flows at 3 km/h, then find what is the speed of the steamer upstream?

Q 31.

There are 40 passengers in a bus, some with Rs 3 tickets and remaining with Rs 10 tickets. The total collection from these passengers is Rs 295. Find how many passengers have tickets worth Rs 3?

Q 32.

For what value of x is the perimeter of shape 186 cm?
ncert-exemplar-problems-class-8-mathematics-linear-equations-in-one-variable-42

Q 33.

The value of x, for which the expressions 3x – 4 and 2x + 1 become equal, is
(a) -3 (b) 0
(c) 5 x (d) 1

Q 34.

The share of A when Rs 25 are divided between A and B, so that A gets Rs 8 more than B, is——–.

Q 35.

The denominator of a rational number is greater than the numerator by 10. If the numerator is increased by 1 and the denominator is decreased by 1, then expression for new denominator is——.

Q 36.

Shikha’s present age is p years. Reemu’s present age is 4 times the present age of Shikha. After 5 years, Reemu’s age will be 15p years.

Q 37.

In a 2-digit number, the unit’s place digit is x. If the sum of digits be 9, then the number is (10x – 9).

Q 38.

Two different equations can never have the same answer.

Q 39.

ncert-exemplar-problems-class-8-mathematics-linear-equations-in-one-variable-1

Q 40.

frac { x }{ 2 } -frac { 1 }{ 4 } left( x-frac { 1 }{ 3 } 
ight) =frac { 1 }{ 6 } left( x+1 
ight) +frac { 1 }{ 12 }

Q 41.

 frac { 3x+2 }{ 2x-3 } =-frac { 3 }{ 4 }

Q 42.

3(5x-2)+2(9x-11)=4(8x-7)-111

Q 43.

0.16 (5x-2)=0.4x +7

Q 44.

The sum of three consecutive even natural numbers is 48. Find the greatest of these numbers.

Q 45.

The sum of three consecutive numbers is 156. Find the number which is a multiple of 13 out of these numbers.

Q 46.

Sum of the digits of a two-digit number is 11. The given number is less than the number obtained by interchanging the digits by 9. Find the number.

Q 47.

Two equal sides of a triangle are each 4 m less than three times the third side. Find the dimensions of the triangle, if its perimeter is 55 m.

Q 48.

The sum of four consecutive integers is 266. What are the integers?

Q 49.

Hamid has three boxes of different fruits. Box A weighs 2frac { 1 }{ 2 } kg more than box B and Box C weighs 10frac { 1 }{ 4 }kg more than box B. The total weight of the three boxes is 48frac { 3 }{ 4 } kg. How many kilograms does box A weigh?

Q 50.

The age of A is five years more than that of B. 5 years ago, the ratio of their ages was 3 :2. Find their present ages.