Mathematics

Linear Equations in One Variable

Question:

 frac { 3t+5 }{ 4 } -1=frac { 4t-3 }{ 5 }

Answer:

ncert-exemplar-problems-class-8-mathematics-linear-equations-in-one-variable-29

ncert-exemplar-problems-class-8-mathematics-linear-equations-in-one-variable-30

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Linear Equations in One Variable

Q 1.

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

Q 3.

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.

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

Q 7.

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 8.

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

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.

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

Q 11.

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

Q 12.

3 years ago, the age of boy was y years. His age 2 years ago was (y — 2) years.

Q 13.

10x-5-7x=5x+15-8

Q 14.

The solutoni of the equation ax + b = 0 is

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

Q 15.

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

Q 16.

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 17.

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

Q 18.

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 19.

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

Q 20.

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

Q 21.

frac { 9-3y }{ 1-9y } =frac { 8 }{ 5 }

Q 22.

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

Q 23.

If  frac { 2 }{ 5 } x-2=5- frac { 3 }{ 5 } x,then x=——-.

Q 24.

frac { 3x-8 }{ 2x } =1

Q 25.

4 (3p + 2) – 5 (6p – 1) = 2 (p – 8) – 6 (7p – 4)

Q 26.

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

Q 27.

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 28.

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

Q 29.

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 30.

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

Q 31.

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

Q 32.

For what value of x is the perimeter of shape 77 cm?

ncert-exemplar-problems-class-8-mathematics-linear-equations-in-one-variable-40

Q 33.

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 34.

A lady went to a bank with Rs 100000. She asked the cashier to give her Rs 500 and Rs 1000 currency notes in return. She got 175 currency notes in all. Find the number of each kind of currency notes.

Q 35.

The shifting of a number from one side of an equation to other is called
(a) transposition (b) distributivity
(c) commutativity (d) associativity .

Q 36.

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

Q 37.

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

Q 38.

Sum of the ages of Anju and her mother is 65 years. If Anju’s present age is y years, then her mother’s age before 5 years is (60 – y) years.

Q 39.

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 40.

frac { 0.2x+5 }{ 3.5x-3 } =frac { 2 }{ 5 }

Q 41.

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 42.

If a and b are positive integers, then the solution of the equation ax = b has to be always
(a) positive (b) negative (c) one (d) zero

Q 43.

A term of an equation can be transposed to the other side by changing its—-.

Q 44.

A and B are together 90 years old. Five years ago, A was thrice as old as B was. Hence, the ages of A and B five years back would be (x – 5) years and (85 – x) years, respectively.

Q 45.

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

Q 46.

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

Q 47.

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

Q 48.

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 49.

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 50.

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?