Mathematics

Linear Equations in One Variable

Question:

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

Answer:

ncert-exemplar-problems-class-8-mathematics-linear-equations-in-one-variable-43

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Linear Equations in One Variable

Q 1.

5(x-1)-2(x+8)=0

Q 2.

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

Q 3.

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 4.

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

Q 5.

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 6.

In a two-digit number, digit in unit’s place is twice the digit in ten’s place. If 27 is added to it, digits are reversed. Find the number.

Q 7.

15 The sum of three consecutive multiples of 7 is 357. Find the smallest multiple.(a) 112 (b) 126 (c) 119 (d) 116

Q 9.

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 10.

A carpenter charged Rs 2500 for making a bed. The cost of materials used is Rs 1100 and the labour charge is Rs 200 per hour. For how many hours did the carpenter work?

Q 11.

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

Q 12.

frac { 5(1-x)+3(1+x) }{ 1-2x } =8

Q 13.

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

Q 14.

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

Q 15.

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

Q 16.

If numerator is 2 less than denominator of a rational number and when 1 is subtracted from numerator and denominator both, the rational number in its simplest form is 1/2. What is the rational number?

Q 17.

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 18.

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 19.

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

Q 20.

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

Q 21.

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

Q 22.

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 23.

In the equation 3x – 3 = 9, transposing – 3 to RHS, we get 3x = 9.

Q 24.

If 6x = 18, then 18x = 54.

Q 25.

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

Q 26.

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

Q 27.

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

Q 28.

Anima left one-half of her property to her daughter, one-third to her son and donated the rest to an educational institute. If the donation was worth Rs 100000, how much money did Anima have?

Q 29.

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 30.

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

Q 31.

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

Q 32.

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 33.

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

Q 34.

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

Q 35.

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

Q 36.

0.25(4x-5)=0.75x +8

Q 37.

Rs 13500 are to be distributed among Salma, Kiran and Jenifer in such a way that Salma gets Rs 1000 more than Kiran and Jenifer gets Rs 500 more than Kiran. Find the money received by Jenifer.

Q 38.

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 39.

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

Q 40.

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 41.

The solutoni of the equation ax + b = 0 is

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

Q 42.

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 43.

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

Q 44.

Any value of the variable, which makes both sides of an equation equal, is known as a———–of the equation.

Q 45.

After 18 years, Swarnim will be 4 times as old as he is now. His present age is——–.

Q 46.

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 47.

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 48.

Two different equations can never have the same answer.

Q 49.

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

Q 50.

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