#### Chapters

Chapter 2: Fractions and Decimals

Chapter 3: Data Handling

Chapter 4: Simple Equations

Chapter 5: Lines and Angles

Chapter 6: The Triangle and its Properties

Chapter 7: Congruence of Triangles

Chapter 8: Comparing Quantities

Chapter 9: Rational Numbers

Chapter 10: Practical Geometry

Chapter 11: Perimeter and Area

Chapter 12: Algebraic Expressions

Chapter 13: Exponents and Powers

Chapter 14: Symmetry

Chapter 15: Visualising Solid Shapes

## Chapter 4: Simple Equations

#### NCERT solutions for Class 7 Mathematics Textbook Chapter 4 Simple Equations Exercise 4.1 [Pages 81 - 82]

Complete the last column of the table.

S.No | Equation | Value | Say, whether the Equation is Satisfied. (Yes/ No) |

1 | x + 3 = 0 | x = 3 |

Complete the last column of the table.

S.No | Equation | Value | Say, whether the Equation is Satisfied. (Yes/ No) |

1 | x + 3 = 0 | x = 0 | - |

Complete the last column of the table.

S.No | Equation | Value | Say, whether the Equation is Satisfied. (Yes/ No) |

1 | x + 3 = 0 | x = -3 | - |

Complete the last column of the table.

S.No | Equation | Value | Say, whether the Equation is Satisfied. (Yes/ No) |

1 | x - 7 = 1 |
x = 7 | - |

Complete the last column of the table.

S.No | Equation | Value | Say, whether the Equation is Satisfied. (Yes/ No) |

1 | x - 7 = 1 |
x = 8 | - |

Complete the last column of the table.

S.No | Equation | Value | Say, whether the Equation is Satisfied. (Yes/ No) |

1 | 5x = 25 |
x = 0 | - |

Complete the last column of the table.

S.No | Equation | Value | Say, whether the Equation is Satisfied. (Yes/ No) |

1 | 5x = 25 |
x = 5 | - |

Complete the last column of the table.

S.No | Equation | Value | Say, whether the Equation is Satisfied. (Yes/ No) |

8 | 5x = 25 | x = -5 | - |

Complete the last column of the table.

S.No | Equation | Value | Say, whether the Equation is Satisfied. (Yes/ No) |

1 | `m/3 = 2` | m = -6 | - |

Complete the last column of the table.

S.No | Equation | Value | Say, whether the Equation is Satisfied. (Yes/ No) |

1 | `m/3 = 2` | m = 0 | - |

Complete the last column of the table.

S.No | Equation | Value | Say, whether the Equation is Satisfied. (Yes/ No) |

1 | `m/3 = 2` | m = 6 | - |

Check whether the value given in the bracket is a solution to the given equation or not:

n + 5 = 19 (n = 1)

Check whether the value given in the brackets is a solution to the given equation or not:

7n + 5 = 19 (n = − 2)

Check whether the value given in the brackets is a solution to the given equation or not:

7n + 5 = 19 (n = 2)

Check whether the value given in the brackets is a solution to the given equation or not:

4p − 3 = 13 (p = 1)

Check whether the value given in the brackets is a solution to the given equation or not:

4p − 3 = 13 (p = − 4)

Check whether the value given in the brackets is a solution to the given equation or not:

4p − 3 = 13 (p = 0)

Solve the following equations by trial and error method:

5p + 2 = 17

Solve the following equations by trial and error method:

3m - 14 = 4

Write equations for the following statement

The sum of numbers x and 4 is 9.

Write equations for the following statement:

2 subtracted from y is 8

Write equations for the following statement:

Ten times *a* is 70.

Write equations for the following statements:

The number b divided by 5 gives 6.

Write equations for the following statements:

Three-fourth of *t* is 15.

Write equations for the following statements:

Seven times *m* plus 7 gets you 77.

Write equations for the following statements:

One-fourth of a number *x* minus 4 gives 4.

Write equations for the following statements:

If you take away 6 from 6 times *y*, you get 60.

Write equations for the following statements:

If you add 3 to one-third of *z*, you get 30.

Write the given equations in statement forms:

p + 4 = 15

Write the given equations in statement forms:

m − 7 = 3

Write the given equations in statement forms:

2m = 7

Write the given equations in statement forms:

`m/5 = 3`

Write the given equations in statement forms:

`(3m)/5 = 6`

Write the given equations in statement forms:

3p + 4 = 25

Write the given equations in statement forms:

4p − 2 = 18

Write the given equations in statement forms:

`p/2 + 2= 8`

Set up an equation in the following case:

Irfan says that he has 7 marbles more than five times the marbles Parmit has. Irfan has 37 marbles. (Take m to be the number of Parmit’s marbles.)

Set up an equation in the following case:

Laxmi’s father is 49 years old. He is 4 years older than three times Laxmi’s age. (Take Laxmi’s age to be y years.)

Set up an equation in the following case:

The teacher tells the class that the highest marks obtained by a student in her class is twice the lowest marks plus 7. The highest score is 87. (Take the lowest score to be l.)

Set up an equation in the following case:

In an isosceles triangle, the vertex angle is twice either base angle. (Let the base angle be *b* in degrees. Remember that the sum of angles of a triangle is 180 degrees.)

#### NCERT solutions for Class 7 Mathematics Textbook Chapter 4 Simple Equations Exercise 4.2 [Page 86]

Give first the step you will use to separate the variable and then solve the equation:

*x* + 1 = 0

Give first the step you will use to separate the variable and then solve the equation:

*x* + 1 = 0

Give first the step you will use to separate the variable and then solve the equation:

x - 1 = 5

Give first the step you will use to separate the variable and then solve the equation:

*x* + 6 = 2

Give first the step you will use to separate the variable and then solve the equation:

*y* − 4 = − 7

Give first the step you will use to separate the variable and then solve the equation:

*y *− 4 = 4

Give first the step you will use to separate the variable and then solve the equation:

*y* + 4 = 4

Give first the step you will use to separate the variable and then solve the equation:

*y* + 4 = -4

Give first the step you will use to separate the variable and then solve the equation:

3l = 42

Give first the step you will use to separate the variable and then solve the equation:

`b/2 = 6`

Give first the step you will use to separate the variable and then solve the equation:

`p/7 = 4`

Give first the step you will use to separate the variable and then solve the equation:

4*x* = 25

Give first the step you will use to separate the variable and then solve the equation:

8*y* = 36

Give first the step you will use to separate the variable and then solve the equation:

`z/3 = 5/4`

Give first the step you will use to separate the variable and then solve the equation:

`a/5 = 7/15`

Give first the step you will use to separate the variable and then solve the equation:

20*t *= -10

Give the steps you will use to separate the variable and then solve the equation

3*n* − 2 = 46

Give the steps you will use to separate the variable and then solve the equation:

5*m* + 7 = 17

Give the steps you will use to separate the variable and then solve the equation:

`(20p)/3 =40`

Give first the step you will use to separate the variable and then solve the equation:

`(3p)/10 = 6`

Solve the following equations:

10*p* = 100

Solve the following equations:

10*p* + 10 = 100

Solve the following equations:

`p/4 = 5`

Solve the following equations:

`(-p)/3 = 5`

Solve the following equations:

`(3p)/4 = 6`

Solve the following equations:

3*s* = − 9

Solve the following equations:

3*s* + 12 = 0

Solve the following equations:

3*s* = 0

Solve the following equations:

2*q* = 6

Solve the following equations:

2*q* − 6 = 0

Solve the following equations:

2*q* + 6 = 0

Solve the following equations:

2*q* + 6 = 12

#### NCERT solutions for Class 7 Mathematics Textbook Chapter 4 Simple Equations Exercise 4.3 [Page 89]

Solve the following equations.

`2y + 5/2 = 37/2`

Solve the following equations.

5*t* + 28 = 10

Solve the following equations.

`a/5 + 3 = 2`

Solve the following equations.

`q/4 + 7 = 5`

Solve the following equations.

`5/2 x = -10`

Solve the following equations.

`5/2 x = 25/4`

Solve the following equations.

`7m + 19/2 = 13`

Solve the following equations

6*z* + 10 = -2

Solve the following equations.

`(3l)/2 = 2/3`

Solve the following equations.

`(2b)/3 - 5 = 3`

Solve the following equations.

2 (*x* + 4) = 12

Solve the following equations.

3 (*n* − 5) = 21

Solve the following equations.

3 (*n* - 5) = -21

Solve the following equations.

-4 (2 + *x*) = 8

Solve the following equations.

4(2 - *x*) = 8

Solve the following equations.

4 = 5 (*p* - 2)

Solve the following equations.

-4 = 5 (*p* - 2)

Solve the following equations.

16 = 4 + 3 (*t* + 2)

Solve the following equations.

4 + 5 (p - 1) = 34

Solve the following equations.

0 = 16 + 4 (*m* − 6)

Construct 3 equations starting with *x* = 2

Construct 3 equations starting with *x* = -2

#### NCERT solutions for Class 7 Mathematics Textbook Chapter 4 Simple Equations Exercise 4.4 [Pages 91 - 92]

Set up equations and solve them to find the unknown numbers in the following case

Add 4 to eight times a number; you get 60.

Set up equations and solve them to find the unknown numbers in the following case

One-fifth of a number minus 4 gives 3.

Set up equations and solve them to find the unknown numbers in the following case

If I take three-fourths of a number and add 3 to it, I get 21

Set up equations and solve them to find the unknown numbers in the following case

When I subtracted 11 from twice a number, the result was 15.

Set up equations and solve them to find the unknown numbers in the following case

Munna subtracts thrice the number of notebooks he has from 50, he finds the result to be 8.

Set up equations and solve them to find the unknown numbers in the following case

Ibenhal thinks of a number. If she adds 19 to it and divides the sum by 5, she will get 8.

Set up equations and solve them to find the unknown numbers in the following case

Anwar thinks of a number. If he takes away 7 from `5/2` of the number, the result is 23

Solve the following:

The teacher tells the class that the highest marks obtained by a student in her class is twice the lowest marks plus 7. The highest score is 87. What is the lowest score?

Solve the following:

In an isosceles triangle, the base angles are equal. The vertex angle is 40°. What are the base angles of the triangle? (Remember, the sum of three angles of a triangle is 180°).

Solve the following:

Sachin scored twice as many runs as Rahul. Together, their runs fell two short of a double century. How many runs did each one score?

Solve the following:

Irfan says that he has 7 marbles more than five times the marbles Parmit has. Irfan has 37 marbles. How many marbles does Parmit have?

Solve the following:

Laxmi’s father is 49 year old. He is 4 years older than three times Laxmi’s age. What is Laxmi’s age?

Solve the following:

People of Sundargram planted trees in the village garden. Some of the trees were fruit trees. The number of non-fruit trees was two more than three times the number of fruit trees. What was the number of fruit trees planted if the number of non-fruit trees planted was 77?

Solve the following riddle:

I am a number,

Tell my identity!

Take me seven times over

And add a fifty!

To reach a triple century

You still need forty!

## Chapter 4: Simple Equations

## NCERT solutions for Class 7 Mathematics Textbook chapter 4 - Simple Equations

NCERT solutions for Class 7 Mathematics Textbook chapter 4 (Simple Equations) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CBSE Class 7 Mathematics Textbook solutions in a manner that help students grasp basic concepts better and faster.

Further, we at Shaalaa.com provide such solutions so that students can prepare for written exams. NCERT textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

Concepts covered in Class 7 Mathematics Textbook chapter 4 Simple Equations are Mind-reading Game, Setting up of an Equation, Concep of Equation, Solving an Equation, More Equations, From Solution to Equation, Applications of Simple Equations to Practical Situations.

Using NCERT Class 7 solutions Simple Equations exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in NCERT Solutions are important questions that can be asked in the final exam. Maximum students of CBSE Class 7 prefer NCERT Textbook Solutions to score more in exam.

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