Selina solutions for Class 6 Mathematics chapter 22 - Simple (Linear) Equations (Including Word Problems) [Latest edition]

Chapter 22: Simple (Linear) Equations (Including Word Problems)

Exercise 22 (A)Exercise 22 (B)Exercise 22 (C)Exercise 22 (D)Exercise 22 (E)
Exercise 22 (A)

Selina solutions for Class 6 Mathematics Chapter 22 Simple (Linear) Equations (Including Word Problems) Exercise 22 (A)

Exercise 22 (A) | Q 1.01

Solve: x + 2 = 6

Exercise 22 (A) | Q 1.02

Solve: x + 6 = 2

Exercise 22 (A) | Q 1.03

Solve: y + 8 = 5

Exercise 22 (A) | Q 1.04

Solve: x + 4 = - 3

Exercise 22 (A) | Q 1.05

Solve: y + 2 = - 8

Exercise 22 (A) | Q 1.06

Solve: b + 2.5 = 4.2

Exercise 22 (A) | Q 1.07

Solve: p + 4.6 = 8.5

Exercise 22 (A) | Q 1.08

Solve: y + 3.2 = - 6.5

Exercise 22 (A) | Q 1.09

Solve: a + 8.9 = - 12.6

Exercise 22 (A) | Q 1.1

Solve: "x" + 2 1/3 = 5

Exercise 22 (A) | Q 1.11

Solve: z + 2 = 4 1/5

Exercise 22 (A) | Q 1.12

Solve: m + 3 1/2 = 4 1/4

Exercise 22 (A) | Q 1.13

Solve: x + 2 = 1 1/4

Exercise 22 (A) | Q 1.14

Solve: y + 5 1/3 = 4

Exercise 22 (A) | Q 1.15

Solve: a + 3 1/5 = 1 1/2

Exercise 22 (A) | Q 2.1

Solve: x - 3 = 2

Exercise 22 (A) | Q 2.2

Solve: m - 2 = - 5

Exercise 22 (A) | Q 2.3

Solve: b - 5 = 7

Exercise 22 (A) | Q 2.4

Solve: a - 2.5 = - 4

Exercise 22 (A) | Q 2.5

Solve: y - 3 1/2 = 6

Exercise 22 (A) | Q 2.6

Solve: z - 2 1/3 = - 6

Exercise 22 (A) | Q 2.7

Solve: p - 5.4 = 2.7

Exercise 22 (A) | Q 2.8

Solve: x - 1.5 = - 4.9

Exercise 22 (A) | Q 2.9

Solve: n - 4 = - 4 1/5

Exercise 22 (A) | Q 3.1

Solve: 3x = 12

Exercise 22 (A) | Q 3.2

Solve: 2y = 9

Exercise 22 (A) | Q 3.3

Solve: 5z = 8.5

Exercise 22 (A) | Q 3.4

Solve: 2.5 m = 7.5

Exercise 22 (A) | Q 3.5

Solve: 3.2 p = 16

Exercise 22 (A) | Q 3.6

Solve: 2a = 4.6

Exercise 22 (A) | Q 4.1

Solve: "x"/2 = 5

Exercise 22 (A) | Q 4.2

Solve: "y"/3 = - 2

Exercise 22 (A) | Q 4.3

Solve: "a"/5 = - 15

Exercise 22 (A) | Q 4.4

Solve: "z"/4 = 3 1/4

Exercise 22 (A) | Q 4.5

Solve: "m"/6 = 2 1/2

Exercise 22 (A) | Q 4.6

Solve: "n"/7 = - 2.8

Exercise 22 (A) | Q 5.1

Solve: - 2x = 8

Exercise 22 (A) | Q 5.2

Solve: - 3.5 y = 14

Exercise 22 (A) | Q 5.3

Solve: - 5z = 4

Exercise 22 (A) | Q 5.4

Solve: - 5 = a + 2

Exercise 22 (A) | Q 5.5

Solve: 2 = p + 5

Exercise 22 (A) | Q 5.6

Solve: 4.5 = m - 2.7

Exercise 22 (A) | Q 5.7

Solve: 3 2/5 = "x" - 2 1/3

Exercise 22 (A) | Q 5.8

Solve: 5 = m + 3 4/7

Exercise 22 (A) | Q 5.9

Solve: - 2 1/5 = y - 4

Exercise 22 (B)

Selina solutions for Class 6 Mathematics Chapter 22 Simple (Linear) Equations (Including Word Problems) Exercise 22 (B)

Exercise 22 (B) | Q 1.1

Solve: 2x + 5 = 17

Exercise 22 (B) | Q 1.2

Solve: 3y - 2 = 1

Exercise 22 (B) | Q 1.3

Solve: 5p + 4 = 29

Exercise 22 (B) | Q 1.4

Solve: 4a - 3 = - 27

Exercise 22 (B) | Q 1.5

Solve: 2z + 3 = - 19

Exercise 22 (B) | Q 1.6

Solve: 7m - 1 = 20

Exercise 22 (B) | Q 1.7

Solve: 2.4x - 3 = 4.2

Exercise 22 (B) | Q 1.8

Solve: 4m + 9.4 = 5

Exercise 22 (B) | Q 1.9

Solve: 6y + 4 = - 4.4

Exercise 22 (B) | Q 2.1

Solve: "x"/3 - 5 = 2

Exercise 22 (B) | Q 2.2

Solve: "y"/2 - 3 = 8

Exercise 22 (B) | Q 2.3

Solve: "z"/7 + 1 = 2 1/2

Exercise 22 (B) | Q 2.4

Solve: "a"/2.4 - 5 = 2.4

Exercise 22 (B) | Q 2.5

Solve: "b"/1.6 + 3 = - 2.5

Exercise 22 (B) | Q 2.6

Solve: "m"/4 - 4.6 = - 3.1

Exercise 22 (B) | Q 3.01

Solve: - 8m -2 = - 10

Exercise 22 (B) | Q 3.02

Solve: 4x + 2x = 3 + 5

Exercise 22 (B) | Q 3.03

Solve: 4x - x + 5 = 8

Exercise 22 (B) | Q 3.04

Solve: 6x + 2 = 2x + 10

Exercise 22 (B) | Q 3.05

Solve: 18 - (2a - 12) = 8a

Exercise 22 (B) | Q 3.06

Solve: 3x + 5 + 2x + 6 + x = 4x + 21

Exercise 22 (B) | Q 3.07

Solve: 3.5x - 9 - 3 = x + 1

Exercise 22 (B) | Q 3.08

Solve: 8x + 6 + 2x - 4 = 4x + 8

Exercise 22 (B) | Q 3.09

Solve: - m + (3m - 6m) = - 8 - 14

Exercise 22 (B) | Q 3.1

Solve: 5x - 14 = x - (24 + 4x)

Exercise 22 (C)

Selina solutions for Class 6 Mathematics Chapter 22 Simple (Linear) Equations (Including Word Problems) Exercise 22 (C)

Exercise 22 (C) | Q 1

Solve: 5 – x = 3

Exercise 22 (C) | Q 2

Solve: 2 – y = 8

Exercise 22 (C) | Q 3

Solve: 8.4 – x = -2

Exercise 22 (C) | Q 4

Solve: x + 2 1/5 = 3

Exercise 22 (C) | Q 5

Solve: y - 3 1/2 = 2 1/3

Exercise 22 (C) | Q 6

Solve: 5 2/3 - "z" = 2 1/2

Exercise 22 (C) | Q 7

Solve: 1.6z = 8

Exercise 22 (C) | Q 8

Solve: 3a = – 2.1

Exercise 22 (C) | Q 9

Solve: "z"/4 = - 1.5

Exercise 22 (C) | Q 10

Solve: "z"/6 = - 1 2/3

Exercise 22 (C) | Q 11

Solve: – 5x = 10

Exercise 22 (C) | Q 12

Solve: 2.4z = - 4.8

Exercise 22 (C) | Q 13

Solve: 2y – 5 = -11

Exercise 22 (C) | Q 14

Solve: 2x + 4.6 = 8

Exercise 22 (C) | Q 15

Solve: 5y – 3.5 = 10

Exercise 22 (C) | Q 16

Solve: 3x + 2 = -2.2

Exercise 22 (C) | Q 17

Solve: "y"/2 - 5 = 1

Exercise 22 (C) | Q 18

Solve: "z"/3 - 1 = - 5

Exercise 22 (C) | Q 19

Solve: "x"/4 + 3.6 = - 1.1

Exercise 22 (C) | Q 20

Solve: -3y – 2 = 10

Exercise 22 (C) | Q 21

Solve: 4z – 5 = 3 – z

Exercise 22 (C) | Q 22

Solve: 7x - 3x + 2 = 22

Exercise 22 (C) | Q 23

Solve: 6y + 3 = 2y + 11

Exercise 22 (C) | Q 24

Solve: 3(x + 5) = 18

Exercise 22 (C) | Q 25

Solve: 5(x - 2)- 2(x + 2) = 3

Exercise 22 (C) | Q 26

Solve: (5x - 3) 4 = 3

Exercise 22 (C) | Q 27

Solve: 3(2x + 1) -2(x - 5) -5(5 - 2x) = 16

Exercise 22 (D)

Selina solutions for Class 6 Mathematics Chapter 22 Simple (Linear) Equations (Including Word Problems) Exercise 22 (D)

Exercise 22 (D) | Q 1

A number increased by 17 becomes 54. Find the number.

Exercise 22 (D) | Q 2

A number decreased by 8 equals 26, find the number.

Exercise 22 (D) | Q 3

One-fourth of a number added to two- seventh of it gives 135; find the number.

Exercise 22 (D) | Q 4

Two-fifths of a number subtracted from three-fourths of it gives 56, find the number.

Exercise 22 (D) | Q 5

A number is increased by 12 and the new number obtained is multiplied by 5. If the resulting number is 95, find the original number.

Exercise 22 (D) | Q 6

A number is increased by 12 and the new number obtained is multiplied by 5. If the resulting number is 95, find the original number.

Exercise 22 (D) | Q 7

The age of a man is 27 years more than the age of his son. If the sum of their ages is 47 years, find the age of the son and his father.

Exercise 22 (D) | Q 8

The difference between the ages of Gopal and his father is 26 years. If the sum of their ages is 56 years, find the ages of Gopal and his father.

Exercise 22 (D) | Q 9

When two consecutive natural numbers are added, the sum is 31; find the numbers.

Exercise 22 (D) | Q 10

When three consecutive natural numbers are added, the sum is 66, find the numbers.

Exercise 22 (D) | Q 11

A natural number decreased by 7 is 12. Find the number.

Exercise 22 (D) | Q 12

One fourth of a number added to one- sixth of itself is 15. Find the number.

Exercise 22 (D) | Q 13

A whole number is increased by 7 and the new number so obtained is multiplied by 5; the result is 45. Find the whole number.

Exercise 22 (D) | Q 14

The age of a man and the age of his daughter differ by 23 years and the sum of their ages is 41 years. Find the age of the man.

Exercise 22 (D) | Q 15

The difference between the ages of a woman and her son is 19 years and the sum of their ages is 37 years; find the age of the son.

Exercise 22 (D) | Q 16

Two natrual numbers differ by 6 and sum of them is 36. Find the larger number.

Exercise 22 (D) | Q 17

The difference between two numbers is 15. Taking the smaller number as x; find:

(i) the expression for the larger number.

(ii) the larger number, if the sum of these numbers is 71.

Exercise 22 (D) | Q 18

The difference between the two numbers is 23. Taking the larger number as x, find:

(i) the expression for a smaller number.

(ii) the smaller number, if the sum of these two numbers is 91.

Exercise 22 (D) | Q 19

Find three consecutive integers such that their sum is 78.

Exercise 22 (D) | Q 20

The sum of three consecutive numbers is 54. Taking the middle number as x, find:

(i) expression for the smallest number and the largest number.

(ii) the three numbers.

Exercise 22 (E)

Selina solutions for Class 6 Mathematics Chapter 22 Simple (Linear) Equations (Including Word Problems) Exercise 22 (E)

Exercise 22 (E) | Q 1.01

Solve the following equation: 2x + 3 = 7

Exercise 22 (E) | Q 1.02

Solve the following equation: 2x – 3 = 7

Exercise 22 (E) | Q 1.03

Solve the following equation: 2x ÷ 3 = 7

Exercise 22 (E) | Q 1.04

Solve the following equation: 3y – 8 = 13

Exercise 22 (E) | Q 1.05

Solve the following equation: 3y + 8 = 13

Exercise 22 (E) | Q 1.06

Solve the following equation: 3y ÷ 8 = 13

Exercise 22 (E) | Q 1.07

Solve the following equation: x - 3 = 5 1/2

Exercise 22 (E) | Q 1.08

Solve the following equation: 3/5"x" + 4 = 13

Exercise 22 (E) | Q 1.09

Solve the following equation: u + 3 1/4 = 4 1/3

Exercise 22 (E) | Q 1.1

Solve the following equation: 5x – 2.4 = 4.9

Exercise 22 (E) | Q 1.11

Solve the following equation: 5y + 4.9 = 2.4

Exercise 22 (E) | Q 1.12

Solve the following equation: 48 z + 3.6 = 1.2

Exercise 22 (E) | Q 1.13

Solve the following equation: "x"/2 - 3 = 5

Exercise 22 (E) | Q 1.14

Solve the following equation: "y"/3 + 7 = 2

Exercise 22 (E) | Q 1.15

Solve the following equation: "2m"/3 = 8 2/3

Exercise 22 (E) | Q 1.16

Solve the following equation: -3x + 4 = 10

Exercise 22 (E) | Q 1.17

Solve the following equation: 5 = x - 3

Exercise 22 (E) | Q 1.18

Solve the following equation: 8y = 3- 3y

Exercise 22 (E) | Q 1.19

Solve the following equation: 4x + 4.9 = 6.5

Exercise 22 (E) | Q 1.2

Solve the following equation: 3z + 2 = -4

Exercise 22 (E) | Q 1.21

Solve the following equation: 7y -18 = 17

Exercise 22 (E) | Q 1.22

Solve the following equation: "x"/1.2 - 6 = 1

Exercise 22 (E) | Q 1.23

Solve the following equation: "z"/2.4 + 3.6 = 5.1

Exercise 22 (E) | Q 1.24

Solve the following equation: "y"/1.8 - 2.1 = - 2.8

Exercise 22 (E) | Q 1.25

Solve the following equation: 7x - 2 = 4x + 7

Exercise 22 (E) | Q 1.26

Solve the following equation: 3y - (y + 2) = 4

Exercise 22 (E) | Q 1.27

Solve the following equation: 3z – 18 = z – (12 - 4z)

Exercise 22 (E) | Q 1.28

Solve the following equation: x - 2 1/3 = 5 1/2

Exercise 22 (E) | Q 1.29

Solve the following equation: 3 2/5 - "y" = 2 1/2

Exercise 22 (E) | Q 1.3

Solve the following equation: "2z" - 2 1/2 = 3 1/3

Exercise 22 (E) | Q 1.31

Solve the following equation: 5x – 2x +15 = 27

Exercise 22 (E) | Q 1.32

Solve the following equation: 5y – 15 = 27 -2y

Exercise 22 (E) | Q 1.33

Solve the following equation: 7z + 15 = 3z – 13

Exercise 22 (E) | Q 1.34

Solve the following equation: 2 (x - 3) – 3 (x - 4) =12

Exercise 22 (E) | Q 1.35

Solve the following equation: (7y +8) +7= 8

Exercise 22 (E) | Q 1.36

Solve the following equation: 2(z - 5) +3 (z + 2) - (3 - 5z) =10

Exercise 22 (E) | Q 2

A natural number decreased by 7 is 12. Find the number.

Exercise 22 (E) | Q 3

One-fourth of a number added to one-sixth of It is 15. Find the number.

Exercise 22 (E) | Q 4

A whole number is increased by 7 and the new number so obtained is multiplied by 5; the result is 45. Find the whole number.

Exercise 22 (E) | Q 5

The age of a man and the age of his daughter differ by 23 years and the sum of their ages is 41 years. Find the age of the man.

Exercise 22 (E) | Q 6

The difference between the ages of a woman and her son is 19 years and the sum of their ages is 37 years; find the age of the son.

Exercise 22 (E) | Q 7

Two natural numbers differ by 6 and their sum is 36. Find the larger number.

Exercise 22 (E) | Q 8

The difference between two numbers is 15. Taking the smaller number as x; find:

(i) the expression for the larger number.

(ii) the larger number, if the sum of these numbers is 71.

Exercise 22 (E) | Q 9

The difference between the two numbers is 23. Taking the larger number as x, find:

(i) the expression for a smaller number.

(ii) the smaller number, if the sum of these two numbers is 91.

Exercise 22 (E) | Q 10

Find three consecutive integers such that their sum is 78.

Exercise 22 (E) | Q 11

The sum of three consecutive numbers is 54. Taking the middle number as x, find:

(i) expression for the smallest number and the largest number.

(ii) the three numbers.

Chapter 22: Simple (Linear) Equations (Including Word Problems)

Exercise 22 (A)Exercise 22 (B)Exercise 22 (C)Exercise 22 (D)Exercise 22 (E)

Selina solutions for Class 6 Mathematics chapter 22 - Simple (Linear) Equations (Including Word Problems)

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Concepts covered in Class 6 Mathematics chapter 22 Simple (Linear) Equations (Including Word Problems) are Concept of Simple (Linear) Equations (Including Word Problems), Linear Equation in One Variable.

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