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NCERT solutions for Mathematics [English] Class 7 chapter 4 - Simple Equations [Latest edition]

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NCERT solutions for Mathematics [English] Class 7 chapter 4 - Simple Equations - Shaalaa.com
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Solutions for Chapter 4: Simple Equations

Below listed, you can find solutions for Chapter 4 of CBSE NCERT for Mathematics [English] Class 7.


EXERCISE 4.1EXERCISE 4.2EXERCISE 4.3
EXERCISE 4.1 [Pages 63 - 64]

NCERT solutions for Mathematics [English] Class 7 4 Simple Equations EXERCISE 4.1 [Pages 63 - 64]

EXERCISE 4.1 | Q 1. (i) | Page 63

Complete the last column of the table.

Equation Value Say, whether the Equation is Satisfied. (Yes/No)
x + 3 = 0 x = 3  
EXERCISE 4.1 | Q 1. (ii) | Page 63

Complete the last column of the table.

Equation Value Say, whether the Equation is Satisfied. (Yes/No)
x + 3 = 0 x = 0  
EXERCISE 4.1 | Q 1. (iii) | Page 63

Complete the last column of the table.

Equation Value Say, whether the Equation is Satisfied. (Yes/No)
x + 3 = 0 x = -3  
EXERCISE 4.1 | Q 1. (iv) | Page 63

Complete the last column of the table.

Equation Value Say, whether the Equation is Satisfied. (Yes/No)
x - 7 = 1 x = 7  
EXERCISE 4.1 | Q 1. (v) | Page 63

Complete the last column of the table.

Equation Value Say, whether the Equation is Satisfied. (Yes/No)
x - 7 = 1 x = 8  
EXERCISE 4.1 | Q 1. (vi) | Page 63

Complete the last column of the table.

Equation Value Say, whether the Equation is Satisfied. (Yes/No)
5x = 25 x = 0  
EXERCISE 4.1 | Q 1. (vii) | Page 63

Complete the last column of the table.

Equation Value Say, whether the Equation is Satisfied. (Yes/No)
5x = 25 x = 5  
EXERCISE 4.1 | Q 1. (viii) | Page 63

Complete the last column of the table.

Equation Value Say, whether the Equation is Satisfied. (Yes/No)
5x = 25 x = -5  
EXERCISE 4.1 | Q 1. (ix) | Page 63

Complete the last column of the table.

Equation Value Say, whether the Equation is Satisfied. (Yes/No)
`m/3 = 2` m = -6  
EXERCISE 4.1 | Q 1. (x) | Page 63

Complete the last column of the table.

Equation Value Say, whether the Equation is Satisfied. (Yes/No)
`m/3 = 2` m = 0  
EXERCISE 4.1 | Q 1. (xi) | Page 63

Complete the last column of the table.

Equation Value Say, whether the Equation is Satisfied. (Yes/No)
`m/3 = 2` m = 6  
EXERCISE 4.1 | Q 2. (a) | Page 63

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

n + 5 = 19 (n = 1)

EXERCISE 4.1 | Q 2. (b) | Page 63

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

7n + 5 = 19 (n = − 2)

EXERCISE 4.1 | Q 2. (c) | Page 63

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

7n + 5 = 19 (n = 2)

EXERCISE 4.1 | Q 2. (d) | Page 63

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

4p − 3 = 13 (p = 1)

EXERCISE 4.1 | Q 2. (e) | Page 63

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

4p − 3 = 13 (p = − 4)

EXERCISE 4.1 | Q 2. (f) | Page 63

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

4p − 3 = 13 (p = 0)

EXERCISE 4.1 | Q 3. (i) | Page 63

Solve the following equation by trial and error method:

5p + 2 = 17

EXERCISE 4.1 | Q 3. (ii) | Page 63

Solve the following equation by trial and error method:

3m - 14 = 4

EXERCISE 4.1 | Q 4. (i) | Page 63

Write equation for the following statement.

The sum of numbers x and 4 is 9.

EXERCISE 4.1 | Q 4. (ii) | Page 63

Write equation for the following statement:

2 subtracted from y is 8.

EXERCISE 4.1 | Q 4. (iii) | Page 63

Write equation for the following statement:

Ten times a is 70.

EXERCISE 4.1 | Q 4. (iv) | Page 63

Write equation for the following statement:

The number b divided by 5 gives 6.

EXERCISE 4.1 | Q 4. (v) | Page 63

Write equation for the following statement:

Three-fourth of t is 15.

EXERCISE 4.1 | Q 4. (vi) | Page 63

Write equation for the following statement:

Seven times m plus 7 gets you 77.

EXERCISE 4.1 | Q 4. (vii) | Page 63

Write equation for the following statement:

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

EXERCISE 4.1 | Q 4. (viii) | Page 63

Write equation for the following statement:

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

EXERCISE 4.1 | Q 4. (ix) | Page 63

Write equation for the following statement:

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

EXERCISE 4.1 | Q 5. (i) | Page 63

Write the given equation in statement form:

p + 4 = 15

EXERCISE 4.1 | Q 5. (ii) | Page 63

Write the given equation in statement form:

m − 7 = 3

EXERCISE 4.1 | Q 5. (iii) | Page 63

Write the given equation in statement form:

2m = 7

EXERCISE 4.1 | Q 5. (iv) | Page 63

Write the given equation in statement form:

`m/5 = 3` 

EXERCISE 4.1 | Q 5. (v) | Page 63

Write the given equation in statement form:

`(3m)/5 = 6`

EXERCISE 4.1 | Q 5 (vi) | Page 63

Write the given equation in statement form:

3p + 4 = 25

EXERCISE 4.1 | Q 5. (vii) | Page 63

Write the given equation in statement form:

4p − 2 = 18

EXERCISE 4.1 | Q 5. (viii) | Page 63

Write the given equation in statement form:

`p/2` + 2 = 8

EXERCISE 4.1 | Q 6. (i) | Page 64

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.)

EXERCISE 4.1 | Q 6. (ii) | Page 64

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.)

EXERCISE 4.1 | Q 6. (iii) | Page 64

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.)

EXERCISE 4.1 | Q 6. (iv) | Page 64

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.)

EXERCISE 4.2 [Page 68]

NCERT solutions for Mathematics [English] Class 7 4 Simple Equations EXERCISE 4.2 [Page 68]

EXERCISE 4.2 | Q 1. (a) | Page 68

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

x - 1 = 0

EXERCISE 4.2 | Q 1. (b) | Page 68

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

x + 1 = 0

EXERCISE 4.2 | Q 1. (c) | Page 68

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

x - 1 = 5

EXERCISE 4.2 | Q 1. (d) | Page 68

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

x + 6 = 2

EXERCISE 4.2 | Q 1. (e) | Page 68

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

y − 4 = − 7

EXERCISE 4.2 | Q 1. (f) | Page 68

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

y − 4 = 4

EXERCISE 4.2 | Q 1. (g) | Page 68

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

y + 4 = 4

EXERCISE 4.2 | Q 1. (h) | Page 68

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

y + 4 = -4

EXERCISE 4.2 | Q 2. (a) | Page 68

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

3l = 42

EXERCISE 4.2 | Q 2. (b) | Page 68

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

`b/2 = 6`

EXERCISE 4.2 | Q 2. (c) | Page 68

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

`p/7 = 4`

EXERCISE 4.2 | Q 2. (d) | Page 68

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

4x = 25

EXERCISE 4.2 | Q 2. (e) | Page 68

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

8y = 36

EXERCISE 4.2 | Q 2. (f) | Page 68

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

`z/3 = 5/4`

EXERCISE 4.2 | Q 2. (g) | Page 68

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

`a/5 = 7/15`

EXERCISE 4.2 | Q 2. (h) | Page 68

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

20t = -10

EXERCISE 4.2 | Q 3. (a) | Page 68

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

3n − 2 = 46

EXERCISE 4.2 | Q 3. (b) | Page 68

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

5m + 7 = 17

EXERCISE 4.2 | Q 3. (c) | Page 68

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

`(20p)/3 = 40`

EXERCISE 4.2 | Q 3. (d) | Page 68

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

`(3p)/10 = 6`

EXERCISE 4.2 | Q 4. (a) | Page 68

Solve the following equation:

10p = 100

EXERCISE 4.2 | Q 4. (b) | Page 68

Solve the following equation:

10p + 10 = 100

EXERCISE 4.2 | Q 4. (c) | Page 68

Solve the following equation:

`p/4 = 5`

EXERCISE 4.2 | Q 4. (d) | Page 68

Solve the following equation:

`(-p)/3 = 5`

EXERCISE 4.2 | Q 4. (e) | Page 68

Solve the following equation:

`(3p)/4 = 6`

EXERCISE 4.2 | Q 4. (f) | Page 68

Solve the following equation:

3s = − 9

EXERCISE 4.2 | Q 4. (g) | Page 68

Solve the following equation:

3s + 12 = 0

EXERCISE 4.2 | Q 4. (h) | Page 68

Solve the following equation:

3s = 0

EXERCISE 4.2 | Q 4. (i) | Page 68

Solve the following equation:

2q = 6

EXERCISE 4.2 | Q 4. (j) | Page 68

Solve the following equation:

2q − 6 = 0

EXERCISE 4.2 | Q 4. (k) | Page 68

Solve the following equation:

2q + 6 = 0

EXERCISE 4.2 | Q 4. (l) | Page 68

Solve the following equation:

2q + 6 = 12

EXERCISE 4.3 [Pages 71 - 72]

NCERT solutions for Mathematics [English] Class 7 4 Simple Equations EXERCISE 4.3 [Pages 71 - 72]

EXERCISE 4.3 | Q 1. (a) | Page 71

Set up equation and solve them to find the unknown number in the following case:

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

EXERCISE 4.3 | Q 1. (b) | Page 71

Set up equation and solve them to find the unknown number in the following case:

One-fifth of a number minus 4 gives 3.

EXERCISE 4.3 | Q 1. (c) | Page 71

Set up equation and solve them to find the unknown number in the following case:

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

EXERCISE 4.3 | Q 1. (d) | Page 71

Set up equation and solve them to find the unknown number in the following case:

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

EXERCISE 4.3 | Q 1. (e) | Page 71

Set up equation and solve them to find the unknown number in the following case:

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

EXERCISE 4.3 | Q 1. (f) | Page 71

Set up equation and solve them to find the unknown number 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.

EXERCISE 4.3 | Q 1. (g) | Page 71

Set up equation and solve them to find the unknown number 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:

EXERCISE 4.3 | Q 2. (a) | Page 71

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?

EXERCISE 4.3 | Q 2. (b) | Page 72

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°).

EXERCISE 4.3 | Q 2. (c) | Page 72

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:

EXERCISE 4.3 | Q 3. (i) | Page 72

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?

EXERCISE 4.3 | Q 3 (ii) | Page 72

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

EXERCISE 4.3 | Q 3. (iii) | Page 72

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?

EXERCISE 4.3 | Q 4. | Page 72

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!

Solutions for 4: Simple Equations

EXERCISE 4.1EXERCISE 4.2EXERCISE 4.3
NCERT solutions for Mathematics [English] Class 7 chapter 4 - Simple Equations - Shaalaa.com

NCERT solutions for Mathematics [English] Class 7 chapter 4 - Simple Equations

Shaalaa.com has the CBSE Mathematics Mathematics [English] Class 7 CBSE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. NCERT solutions for Mathematics Mathematics [English] Class 7 CBSE 4 (Simple Equations) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.

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

Concepts covered in Mathematics [English] Class 7 chapter 4 Simple Equations are Concept of Equation, Balancing an Equation, Method of Solving an Equation, From Solution to Equation, Use of Variables in Common Rules, Expressions with Variables, The Solution of an Equation, Applications of Simple Equations to Practical Situations, Variable of Equation, Concept of Equation, Balancing an Equation, Method of Solving an Equation, From Solution to Equation, Use of Variables in Common Rules, Expressions with Variables, The Solution of an Equation, Applications of Simple Equations to Practical Situations, Variable of Equation.

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

Get the free view of Chapter 4, Simple Equations Mathematics [English] Class 7 additional questions for Mathematics Mathematics [English] Class 7 CBSE, and you can use Shaalaa.com to keep it handy for your exam preparation.

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