NCERT Solutions for Class 7 Maths Chapter 4 Simple Equation

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# NCERT Solutions for Class 7 Maths Chapter 4 Simple Equation

Edited By Ramraj Saini | Updated on Aug 16, 2023 08:40 AM IST

## NCERT Solutions for Maths Chapter 4 Simple Equation Class 7 - CBSE Free PDF

NCERT Solutions for Class 7 Maths Chapter 4 Simple Equations - In this chapter, students will be introduced by a new concept 'Equation'. This topic not only builds knowledge of algebra for maths students of class 7 but also helps to develop analytical thinking. Solutions of NCERT Class 7 Maths chapter 4 Simple Equations have 4 exercises with 18 questions in them. The NCERT solutions for Maths chapter 4 Simple Equations class 7 also discuss some topic-wise questions.

The NCERT Solutions can be extremely helpful for the Class 7 Maths students to understand the basics of this chapter and to clear all their doubts easily. Students can use as worksheets to prepare for their CBSE final exams. Here you will get solutions to all four exercises of this NCERT chapter.

## NCERT Solutions for Class 7 Maths Chapter 4 Simple Equation - Important Formulae

Balancing Equation:

LHS = RHS

(LHS ± a) = (RHS ± a)

(LHS × b) = (RHS × b)

(LHS ÷ c) = (RHS ÷ c)

Solution of an Equation: For a variable 'x', if LHS(x) = RHS(x), then 'x' is a solution.

For more, Download Ebook - NCERT Class 7 Maths: Chapterwise Important Formulas And Points

## NCERT Solutions for Class 7 Maths Chapter 4 Simple Equation - Important Points

Variable: Something that can vary, Its value is not fixed such as x, y, z, p, q, r, etc.

Equation: It is a mathematical statement that uses an equal sign(=) to show that the value of the expression to the left of the sign (LHS) is equal to the value of the expression to the right of the sign (RHS).

Interchangeability: If the LHS and RHS are interchanged, the equation remains the same.

Balanced equation: the value of LHS remains equal to the value of the RHS. If we,

• Add the same number to both sides

• Subtract the same number from both sides.

• Multiply both sides by the same number.

• Divide both sides by the same number.

Solution of an equation: The value of the variable for which the equation is satisfied ( for that variable, LHS = RHS ).

Transposing: Transposing of a number has the same effect as adding the same number to both sides or subtracting the same number from both sides of the equation.

Free download NCERT Solutions for Class 7 Maths Chapter 4 Simple Equation PDF for CBSE Exam.

## NCERT Solutions for Class 7 Maths Chapter 4 Simple Equation (Intext Questions and Exercise)

NCERT Solutions for Class 7 Maths Chapter 4 Simple Equations Topic 4.3

(i) Let y = 2 . We have :

$10y\ -\ 20\ =\ 10(2)\ -\ 20\ =\ 0$

(ii) Let y = 3 . We have :

$10y\ -\ 20\ =\ 10(3)\ -\ 20\ =\ 10$

(iii) Let y = 4 . We have :

$10y\ -\ 20\ =\ 10(4)\ -\ 20\ =\ 20$

(iv) Let y = 5 . We have :

$10y\ -\ 20\ =\ 10(5)\ -\ 20\ =\ 30$

(v) Let y = 6 . We have :

$10y\ -\ 20\ =\ 10(6)\ -\ 20\ =\ 40$

Hence 10y - 20 depends upon y.

Now, consider $10y\ -\ 20\ =\ 50$

Transpose - 20 to the RHS :

$10y\ =\ 50\ +\ 20\ =\ 70$

or $y\ =\ 7$

## NCERT solutions for maths chapter 4 simple equation class 7 topic 4.7

(ii) What is that number one third of which added to 5 gives 8?

(i) Let the number be n.

Then according to the question, we have :

$6n\ -\ 5\ =\ 7$

or $6n\ =\ 7\ +\ 5\ =\ 12$

or $n\ =\ 2$

(ii) Let the number be x.

Then according to the question,

$\frac{x}{3}\ +\ 5\ =\ 8$

$\frac{x}{3}\ =\ 8\ -\ 5\ =\ 3$

$x\ =\ 9$

Let the number of mangoes in the smaller box be n.

Then according to the question, we have :

$8n\ +\ 4\ =\ 100$

or $8n\ =\ 100\ -\ 4\ =\ 96$

or $n\ =\ 12$

Hence the number of mangoes in the smaller box is 12.

## NCERT Solutions for Maths Chapter 4 Simple Equation class 7 Exercise 4.1

The table is shown below:-

(a) n + 5 = 19 (n = 1)

(b) 7n + 5 = 19 (n = – 2)

(c) 7n + 5 = 19 (n = 2)
(d) 4p – 3 = 13 (p = 1)

(e) 4p – 3 = 13 (p = – 4)

(f) 4p – 3 = 13 (p = 0)

(a) Put n = 1 in the equation, we have :

n + 5 = 15

or 1 + 5 = 15

or 6 $\neq$ 15

Thus n = 1 is not a solution.

(b) Put n = - 2, we have :

7n + 5 = 19

or 7(-2) + 5 = - 14 + 5 = - 9 $\neq$ 19.

So, n = - 2 is not a solution to the given equation.

(c) Put n = 2, we have :

7n + 5 = 19

or 7(2) + 5 = 14 + 5 = 19 = R.H.S

Thus n = 2 is the solution for the given equation.

(d) Put p = 1 , we have :

4p - 3 = 13

or 4(1) - 3 = 1 $\neq$ 13 .

Thus p = 1 is not a solution.

(e) Put p = - 4 , we get :

4p - 3 = 13

or 4(1) - 3 = 1 $\neq$ 13 .

Thus p = 1 is not a solution.

(f) Put p = 0 , we get :

4p - 3 = 13

or 4(0) - 3 = - 3 $\neq$ 13 .

Thus p = 0 is not a solution.

(i) Put p = 1,

We have : $5(1)\ +\ 2\ =\ 7\ \neq\ 17$

Put p = 2,

We have : $5(2)\ +\ 2\ =\ 12\ \neq\ 17$

Put p = 3,

we have : $5(3)\ +\ 2\ =\ 17\ =\ 17$

Thus the solution is p = 3.

(ii) Put m = 4,

we have : $3(4)\ -\ 14\ =\ -2\ \neq\ 4$

Put m = 5,

we have : $3(5)\ -\ 14\ =\ 1\ \neq\ 4$

Now, put m = 6,

we have : $3(6)\ -\ 14\ =\ 4\ =\ 4$

Thus m = 6 is the solution.

(ii) 2 subtracted from y is 8.
(iii) Ten times a is 70.

(iv) The number b divided by 5 gives 6.
(v) Three-fourth of t is 15.

(vi) Seven times m plus 7 gets you 77.
(vii) One-fourth of a number x minus 4 gives 4.
(viii) If you take away 6 from 6 times y, you get 60.
(ix) If you add 3 to one-third of z, you get 30.

The equations are given below :

(i) $x\ +\ 4\ =\ 9$

(ii) $y\ -\ 2\ =\ 8$

(iii) $10a\ =\ 70$

(iv) $\frac{b}{5}\ =\ 6$

(v) $\frac{3}{4}t\ =\ 15$

(vi) $7m\ +\ 7\ =\ 77$

(vii) $\frac{x}{4}\ -\ 4\ =\ 4$

(viii) $6y\ -\ 6\ =\ 60$

(ix) $\frac{z}{3}\ +\ 3\ =\ 30$

(i) p + 4 = 15

(ii) m – 7 = 3

(iii) 2m = 7

(iv) m /5 = 3

(v) 3 m/5 = 6

(vi) 3p + 4 = 25

(vii) 4p – 2 = 18

(viii) p /2 + 2 = 8

(i) Add 4 to the number p, we get 15.

(ii) Subtract 7 from m to get 3.

(iii) Twice the number m is 7.

(iv) One-fifth of m is 3.

(v) Three-fifth of m is 6.

(vi) 4 is added to thrice the number p to get 25.

(vii) 2 is subtracted from the product of 4 times p to get 18.

(viii) When 2 is added to half of the number p, we get 8.

(a) Let the Parmit's marbles be m.

Then according to the question we have : $5m\ +\ 7\ =\ 37$

or $5m\ =\ 30$

(b) Let the age of Laxmi be y years.

Then we have : $3y\ +\ 4\ =\ 49$

or $3y\ =\ 45$

(c) Let the lowest marks be l, then :

$2l \ +\ 7\ =\ 87$

or $2l \ =\ 80$

(d) Let the base angle of the triangle be b degree.

Then according to the question we have :

$b\ +\ b\ +\ 2b\ =\ 180^{\circ}$

or $3b\ =\ 180^{\circ}$

## NCERT Solutions for Maths Chapter 4 Simple Equation class 7 Exercise 4.2

(a) x – 1 = 0

(b) x + 1 = 0

(c) x – 1 = 5

(d) x + 6 = 2

(e) y – 4 = – 7

(f) y – 4 = 4

(g) y + 4 = 4

(h) y + 4 = – 4

(a) Add 1 to both the sides, we have :

$x\ =\ 1$

(b) Transpoing 1 to the RHS, we have :

$x\ =\ -\ 1$

(c) Transposing - 1 to the RHS, we have :

$x\ =\ 6$

(d) Transposing 6 to the RHS, we get :

$x\ =\ -\ 4$

(e) Transposing - 4 to the RHS, we have :

$y\ =\ -\ 3$

(f) Transposing - 4 to the RHS, we get :

$y\ =\ 8$

(g) Transposing 4 to the RHS, we get :

$y\ =\ 0$

(h) Transposing 4 to the RHS, we get :

$y\ =\ -\ 8$

(a) 3l = 42

(b) b / 2 = 6

(c) p /7 = 4

(d) 4x = 25

(e) 8y = 36

(f) z/ 3 = 5 /4

(g) a /5 =7/ 15

(h) 20t = – 10

(a) Divide both sides by 3, we get :

$l\ =\ 14$

(b) Multiply both sides by 2, we get :

$b\ =\ 12$

(c) Multiply both sides by 7, we get :

$p\ =\ 28$

(d) Divide both sides by 4, we get :

$x\ =\ \frac{25}{4}$

(e) Divide both sides by 8, we get :

$y\ =\ \frac{9}{2}$

(f) Multiply both sides by 3, we get :

$z\ =\ \frac{15}{4}$

(g) Multiply both sides by 5, we get :

$a\ =\ \frac{7}{3}$

(h) Divide both sides by 20, we get :

$t =\ -\frac{1}{2}$

(a) 3n – 2 = 46

(b) 5m + 7 = 17

(c) 20p / 3 = 40

(d) 3p/10 = 6

(a) We have 3n – 2 = 46.

Transposing - 2 to the RHS, we have :

$3n\ =\ 46\ +\ 2\ =\ 48$

or $n\ =\ 16$

(b) We have 5m + 7 = 17

Transposing 7 to the RHS, we have :

$5m\ =\ 17\ -\ 7\ =\ 10$

or $m\ =\ 2$

(c) We have 20p / 3 = 40

Multiply both sides by $\frac{3}{20}$ :

$\frac{20p}{3}\times \frac{3}{20}\ =\ 40\times \frac{3}{20}$

or $p\ =\ 6$

(d) We have 3p/10 = 6

Multiply both sides by $\frac{10}{3}$ :

$\frac{3p}{10}\times \frac{10}{3}\ =\ 6\times \frac{10}{3}$

or $p\ =\ 20$

(a) 10p = 100

(b) 10p + 10 = 100

(c) p /4 = 5

(d) – p/3 = 5

(e) 3 p/4 = 6

(f) 3s = –9

(g) 3s + 12 = 0

(h) 3s = 0

(i) 2q = 6

(j) 2q – 6 = 0

(k) 2q + 6 = 0

(l) 2q + 6 = 12

(a) Divide both sides by 10, we get :

$p\ =\ 10$

(b) Transposing 10 to the RHS, we get :

$10p\ =\ 100\ -\ 10\ =\ 90$

Now, dividing both sides by 10 gives : $p\ =\ 9$

(c) Multiplying both sides by 4, we have :

$p\ =\ 20$

(d) Multiplying both sides by - 3 , we have :

$p\ =\ 15$

(e) Multiplying both sides by $\frac{4}{3}$ , we have :

$p\ =\ 8$

(f) Dividing both sides by 3, we have :

$s\ =\ -3$

(g) Transposing 12 to the RHS and then dividing both sides by 3, we have :

$s\ =\ -4$

(h) Dividing both sides by 3, we get :

$s\ =\ 0$

(i) Dividing both sides by 2, we get :

$q\ =\ 3$

(j) Transposing - 6 to the RHS and then dividing both sides by 2, we get :

$q\ =\ 3$

(k) Transposing 6 to the RHS and then dividing both sides by 2, we get :

$q\ =\ -\ 3$

(l) Transposing 6 to the RHS and then dividing both sides by 2, we get :

$q\ =\ 3$

## NCERT Solutions for Maths Chapter 4 Simple Equation class 7 Exercise 4.3

(b) 5t + 28 = 10

(c) a /5 + 3 = 2

(d) q/ 4 + 7 = 5

e) 5 x/2 = –5

(f) $\frac{5}{2}x = \frac{25}{4}$

(g) 7m + 19/2 = 13

(h) 6z + 10 = –2

(i) $\frac{3l}{2} = 2/3$

(j) $\frac{2b}{3}- 5 = 3$

$(a) 2y + \frac{5}{2} = \frac{37}{2}$

Transposing $\frac{5}{2}$ to the RHS :

$2y\ =\ \frac{37}{2}\ -\ \frac{5}{2}\ =\ 16$

$y\ =\ 8$

(b) 5t + 28 = 10

Transposing 28 to the RHS and then dividing both sides by 5, we get :

$5t\ =\ 10\ -\ 28\ =\ -\ 18$

$t\ =\ -\frac{18}{5}$

(c) a /5 + 3 = 2

Transposing 3 to the RHS and multiplying both sides by 5, we get :

$\frac{a}{5}\ +\ 3\ =\ 2$

$\frac{a}{5}\ =\ -\ 1$

$a\ =\ -\ 5$

(d) q/ 4 + 7 = 5

Transposing 7 to the RHS and multiplying both sides by 4:

$\frac{q}{4}\ +\ 7\ =\ 5$

$\frac{q}{4}\ =\ -\ 2$

$q\ =\ -\ 8$

(e) 5 x/2 = – 5

Multiplying both sides by $\frac{2}{5}$ :

$x\ =\ -5\times \frac{2}{5}\ =\ -\ 2$

(f) $\frac{5}{2}x = \frac{25}{4}$

Multiplying both sides by $\frac{2}{5}$ :

$x\ =\ \frac{25}{4}\times \frac{2}{5}$

$x\ =\ \frac{5}{2}$

(g) 7m + 19/2 = 13

Transposing $\frac{19}{2}$ to the RHS and then dividing both sides by 7 :

$7m\ =\ 13\ -\ \frac{19}{2}\ =\ \frac{7}{2}$

$m\ =\ \frac{1}{2}$

(h) 6z + 10 = –2

Transposing 10 to the RHS and then dividing both sides by 6, we get :

$6z\ =\ -\ 2\ -\ 10\ =\ -\ 12$

$z\ =\ -\ 2$

(i) $\frac{3l}{2} = 2/3$

Multiplying both sides by $\frac{2}{3}$ ,

$l\ =\ \frac{2}{3}\times \frac{2}{3}\ =\ \frac{4}{9}$

(j) $\frac{2b}{3}- 5 = 3$

Transposing 5 to the RHS and then multiplying both sides by $\frac{3}{2}$

$\frac{2b}{3}\ =\ 8$

$b\ =\ 8\times \frac{3}{2}\ =\ 12$

(a) 2(x + 4) = 12

(b) 3(n – 5) = 21

(c) 3(n – 5) = – 21

(d) – 4(2 + x) = 8

(e) 4(2 – x) = 8

(a) We have:

2(x + 4) = 12

Dividing both sides by 2, we have :

$x\ +\ 4\ =\ 6$

Transposing 4 to the RHS, we get :

$x\ =\ 6\ -\ 4\ =\ 2$

Thus $x\ =\ 2$

(b) We have:

3(n – 5) = 21

Dividing both sides by 3, we have :

$n\ -\ 5\ =\ 7$

Transposing - 5 to the RHS, we get :

$n\ =\ 7\ +\ 5\ =\ 12$

Thus $n\ =\ 12$

(c) We have :

3(n – 5) = – 21

Dividing both sides by 3, we have :

$n\ -\ 5\ =\ -\ 7$

Transposing - 5 to the RHS, we get :

$n\ =\ -\ 7\ +\ 5\ =\ -\ 2$

Thus $n\ =\ -\ 2$

(d) We have :

– 4(2 + x) = 8

Dividing both sides by - 4, we have :

$x\ +\ 2\ =\ -\ 2$

Transposing 2 to the RHS, we get :

$x\ =\ -\ 2\ -\ 2\ =\ -\ 4$

Thus $x\ =\ -\ 4$

(e) We have :

4(2 - x) = 8

Dividing both sides by 4, we have :

$2\ -\ x\ =\ 2$

Transposing x to the RHS and 2 to the LHS , we get :

$x\ =\ 2\ -\ 2\ =\ 0$

Thus $x\ =\ 0$

(a) 4 = 5(p – 2)

(b) – 4 = 5(p – 2)

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

(d) 4 + 5(p – 1) =34

(e) 0 = 16 + 4(m – 6)

(a) 4 = 5(p – 2)

Dividing both sides by 5, we get :

$p\ -\ 2\ =\ \frac{4}{5}$

or $p\ =\ \frac{4}{5}\ +\ 2\ =\ \frac{14}{5}$

(b) – 4 = 5(p – 2)

Dividing both sides by 5, we get :

$p\ -\ 2\ =\ \frac{-4}{5}$

or $p\ =\ \frac{-4}{5}\ +\ 2\ =\ \frac{6}{5}$

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

Transposing 4 to the LHS and then dividing both sides by 3, we get :

$16\ -\ 4\ =\ 3(t\ +\ 2)$

or $t\ +\ 2\ =\ 4$

or $t\ =\ 2$

(d) 4 + 5(p – 1) =34

Transposing 4 to the RHS and then dividing both sides by 5, we get :

$5(p\ -\ 1)\ =\ 30$

or $p\ -\ 1\ =\ 6$

or $p\ =\ 7$

(e) 0 = 16 + 4(m – 6)

Transposing 16 to the LHS, we get :

$-\ 16\ =\ 4(m\ -\ 6)$

or $m\ -\ 6\ =\ -4$

or $m\ =\ 2$

(a) The 3 required equations can be :

$7x\ =\ 14$

$7x\ +\ 2 =\ 16$

$3x\ =\ 6$

(b) The required equations are :

$7x\ =\ -\ 14$

$7x\ +\ 2 =\ -\ 12$

$-\ 3x\ =\ 6$

## NCERT Solutions for Class 7 Maths Chapter 4 Simple Equations Exercise 4.4

Let the number in each case be n.

(a) According to the question: $8n\ +\ 4\ =\ 60$

or $8n\ =\ 60\ -\ 4\ =\ 56$

or $n\ =\ 7$

(b) We have :

$\frac{n}{5}\ -\ 4\ =\ 3$

or $\frac{n}{5}\ =\ 7$

or $n\ =\ 35$

(c) The equation is :

$\frac{3n}{4}\ +\ 3\ =\ 21$

or $\frac{3n}{4}\ =\ 18$

or $n\ =\ 24$

(d) We have :

$2n\ -\ 11\ =\ 15$

or $2n\ =\ 26$

or $n\ =\ 13$

(e) The equation is :

$50\ -\ 3n\ =\ 8$

or $3n\ =\ 42$

or $n\ =\ 14$

(f) We have :

$\frac{n+19}{5}\ =\ 8$

or $n\ +\ 19\ =\ 40$

or $n\ =\ 21$

(g) We have :

$\frac{5n}{2}\ -\ 7\ =\ 23$

or $\frac{5n}{2}\ =\ 30$

or $n\ =\ 12$

(a) Let the lowest score be l.

Then according to the question, we have :

$2l\ +\ 7\ =\ 87$

or $2l\ =\ 80$

or $l\ =\ 40$

Thus the lowest marks are 40.

(b) Let the base angle of a triangle is $\Theta$ .

Then according to the question, we get :

$\Theta \ +\ \Theta\ +\ 40^{\circ}\ =\ 180^{\circ}$

or $2\Theta\ +\ 40^{\circ}\ =\ 180^{\circ}$

or $2\Theta\ =\ 140^{\circ}$

or $\Theta \ =\ 70^{\circ}$

(c) Let the runs scored by Rahul is x. Then runs by Sachin is 2x.

Further, it is given that their runs fell two short of a double century.

Thus we have : $x\ +\ 2x\ =\ 198$

or $3x\ =\ 198$

or $x\ =\ 66$ .

Hence runs by Rahul is 66 and the runs scored by Sachin is 132.

(a) Let the number of Parmit's marble be n.

Then according to question, we have :

$5n\ +\ 7\ =\ 37$

or $5n\ =\ 37\ -\ 7$

or $5n\ =\ 30$

or $n\ =\ 6$

(b) Let the age of Laxmi be x.

Then according to the question, we have :

$3x\ +\ 4\ =\ 49$

or $3x\ =\ 49\ -\ 4\ =\ 45$

or $x\ =\ 15$

(c) Let the number of fruit trees planted be z.

Then according to the question, we have :

$3z\ +\ 2\ =\ 77$

or $3z\ =\ 77\ -\ 2\ =\ 75$

or $z\ =\ 25$

Let the number be x.

According to the question the equation is :

$7x\ +\ 50\ +\ 40\ =\ 300$

or $7x\ +\ 90\ =\ 300$

or $7x\ =\ 300\ -\ 90\ =\ 210$

or $x\ =\ 30$

Hence the number is 30.

## More About Simple Equations Class 6 Maths NCERT Chapter 4

NCERT Class 7 Maths book chapter 4 Simple Equations begin with a fun game 'mind-reading' and introduce the concept of the equation. So what is an equation? It is a condition on the variable such that two expressions in the variable should have equal value. The value of the variable for which an equation is satisfied is called the solution of the equation. In the equation, there is always an equality(=) sign. The equality sign shows that the value of the expression to the left-hand side (LHS) of the equality sign is equal to the value of the expression to the right-hand side (RHS) of the equality sign. For example, the equation 3x+ 7 =2x - 35 has the expression (3x + 7) on the left of the equality sign and (2x - 35) on the right of the equality sign. But it is not an equation if there is a sign other than the equality sign. For example, 3x + 5 > 75 is not an equation.

## Simple Equations Class 6 Maths Chapter 4-Topic

• Setting Up Of An Equation
• Review Of What We Know
• What Equation Is?
• More Equations
• From Solution To Equation
• Application Of Simple Equations To Practical Situations

### NCERT Solutions for Class 7 Maths Chapter Wise

 Chapter No. Chapter Name Chapter 1 Integers 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

### NCERT Solutions for Class 7 Subject Wise

 NCERT Solutions for Class 7 Maths NCERT Solutions for Class 7 Science

## NCERT Solutions for Class 7 Maths Chapter 4 Simple Equations

As far as the subject Mathematics is concerned, the practising problem is important to score well in exams. It is important to know how to apply the concepts studied in an application-level problem. This is achieved through practice and the CBSE NCERT solutions for Class 7 Maths chapter 4 Simple Equations help for the same. The solutions of NCERT Class 7 Maths chapter 4 Simple Equations are helpful in solving homework problems.

Also Check NCERT Books and NCERT Syllabus here:

1. What is a simple equation, and how do I solve one?

According to chapter 4 maths class 7, A simple equation is a mathematical statement that shows that two expressions are equal. It has an equal sign (=) between the two sides.

To solve a simple equation, aim to isolate the variable (usually represented by a letter) on one side of the equation.

Perform the same operations on both sides of the equation to keep it balanced. This maintains the equality of the expressions.

The goal is to find the value of the variable that satisfies the equation. This value will make both sides of the equation equal.

Also Practice chapter 4 maths class 7 solutions to command the concepts.

2. What are extraneous solutions discussed n class 7th chapter 4 maths, and how do I avoid them?

According to class 7th chapter 4 maths, an extraneous solution is a solution that appears to work in the process of solving an equation but doesn't satisfy the original equation.

They often arise from operations that introduce restrictions, like division by zero or square roots of negative numbers.

To avoid extraneous solutions, always check the solutions you find by substituting them back into the original equation. If the substituted value doesn't satisfy the equation, it's not a valid solution.

Practice class 7th chapter 4 maths solutions to get in-depth understanding of the concepts.

3. What are the topics covered in NCERT solution Maths Class 7 Chapter 4?

Here is the  topics are covered in NCERT solution Maths Class 7 chapter 4

• Setting Up Of An Equation
• Review Of What We Know
• What Equation Is?
• More Equations
• From Solution To Equation
• Application Of Simple Equations To Practical Situations

Also To get command on the concepts, practice class 7 chapter 4 maths solutions.

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Number of atoms in 558.5 gram Fe (at. wt.of Fe = 55.85 g mol-1) is

 Option 1) twice that in 60 g carbon Option 2) 6.023 × 1022 Option 3) half that in 8 g He Option 4) 558.5 × 6.023 × 1023

A pulley of radius 2 m is rotated about its axis by a force F = (20t - 5t2) newton (where t is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is 10 kg m2 , the number of rotations made by the pulley before its direction of motion if reversed, is

 Option 1) less than 3 Option 2) more than 3 but less than 6 Option 3) more than 6 but less than 9 Option 4) more than 9

Database professionals use software to store and organise data such as financial information, and customer shipping records. Individuals who opt for a career as data administrators ensure that data is available for users and secured from unauthorised sales. DB administrators may work in various types of industries. It may involve computer systems design, service firms, insurance companies, banks and hospitals.

4 Jobs Available
##### Bio Medical Engineer

The field of biomedical engineering opens up a universe of expert chances. An Individual in the biomedical engineering career path work in the field of engineering as well as medicine, in order to find out solutions to common problems of the two fields. The biomedical engineering job opportunities are to collaborate with doctors and researchers to develop medical systems, equipment, or devices that can solve clinical problems. Here we will be discussing jobs after biomedical engineering, how to get a job in biomedical engineering, biomedical engineering scope, and salary.

4 Jobs Available
##### GIS Expert

GIS officer work on various GIS software to conduct a study and gather spatial and non-spatial information. GIS experts update the GIS data and maintain it. The databases include aerial or satellite imagery, latitudinal and longitudinal coordinates, and manually digitized images of maps. In a career as GIS expert, one is responsible for creating online and mobile maps.

3 Jobs Available
##### Database Architect

If you are intrigued by the programming world and are interested in developing communications networks then a career as database architect may be a good option for you. Data architect roles and responsibilities include building design models for data communication networks. Wide Area Networks (WANs), local area networks (LANs), and intranets are included in the database networks. It is expected that database architects will have in-depth knowledge of a company's business to develop a network to fulfil the requirements of the organisation. Stay tuned as we look at the larger picture and give you more information on what is db architecture, why you should pursue database architecture, what to expect from such a degree and what your job opportunities will be after graduation. Here, we will be discussing how to become a data architect. Students can visit NIT Trichy, IIT Kharagpur, JMI New Delhi

3 Jobs Available
##### Geothermal Engineer

Individuals who opt for a career as geothermal engineers are the professionals involved in the processing of geothermal energy. The responsibilities of geothermal engineers may vary depending on the workplace location. Those who work in fields design facilities to process and distribute geothermal energy. They oversee the functioning of machinery used in the field.

3 Jobs Available
##### Geotechnical engineer

The role of geotechnical engineer starts with reviewing the projects needed to define the required material properties. The work responsibilities are followed by a site investigation of rock, soil, fault distribution and bedrock properties on and below an area of interest. The investigation is aimed to improve the ground engineering design and determine their engineering properties that include how they will interact with, on or in a proposed construction.

The role of geotechnical engineer in mining includes designing and determining the type of foundations, earthworks, and or pavement subgrades required for the intended man-made structures to be made. Geotechnical engineering jobs are involved in earthen and concrete dam construction projects, working under a range of normal and extreme loading conditions.

3 Jobs Available
##### Graphic Designer

Within the graphic design and graphic arts industry, a graphic designer is a specialist who designs and builds images, graphic design, or visual effects to develop a piece of artwork. In career as graphic designer, individuals primarily generate the graphics for publishing houses and printed or electronic digital media like pamphlets and commercials. There are various options for industrial graphic design employment. Graphic design career includes providing numerous opportunities in the media industry.

3 Jobs Available
##### Cartographer

How fascinating it is to represent the whole world on just a piece of paper or a sphere. With the help of maps, we are able to represent the real world on a much smaller scale. Individuals who opt for a career as a cartographer are those who make maps. But, cartography is not just limited to maps, it is about a mixture of art, science, and technology. As a cartographer, not only you will create maps but use various geodetic surveys and remote sensing systems to measure, analyse, and create different maps for political, cultural or educational purposes.

3 Jobs Available
##### Risk Management Specialist

Individuals who opt for a career as a risk management specialist are professionals who are responsible for identifying risks involved in business that may include loss of assets, property, personnel or cash flow. Credit risk manager responsibilities are to identifies business opportunities and eliminates issues related to insurance or safety that may cause property litigation. A risk management specialist is responsible for increasing benefits.

4 Jobs Available
##### Credit Manager

Credit Management refers to the process of granting credit, setting the terms it’s granted on, recovering the credit when it’s due, and confirming compliance with the organization's credit policy, among other credit-related operations. Individuals who opt for a career as Credit Manager should have hands-on experience with accounting software, a solid understanding of lending procedures, excellent analytical skills with the ability to create and process financial spreadsheets, negotiation skills, and a bachelor’s or master’s degree in a field relevant to finance or accounting. Ultimately, Credit Management job is to help organizations minimize bad debts and increase revenues from the loan.

3 Jobs Available
##### Investment Banker

An Investment Banking career involves the invention and generation of capital for other organizations, governments, and other entities. Individuals who opt for a career as Investment Bankers are the head of a team dedicated to raising capital by issuing bonds. Investment bankers are termed as the experts who have their fingers on the pulse of the current financial and investing climate. Students can pursue various Investment Banker courses, such as Banking and Insurance, and Economics to opt for an Investment Banking career path.

3 Jobs Available
##### Insurance Analyst

In the career as an insurance analyst, one can monitor the choices the customers make about which insurance policy options best suit their requirements. They research and make recommendations that have a real impact on the financial well-being of a client down the road. Insurance companies are helping people prepare themselves for the long term. Insurance Analysts find the documents of the claim and perform a thorough investigation, like travelling to places where the incident has occurred, gathering evidence, and working with law enforcement officers.

3 Jobs Available
##### Finance Executive

A career as a Finance Executive requires one to be responsible for monitoring an organisation's income, investments and expenses to create and evaluate financial reports. His or her role involves performing audits, invoices, and budget preparations. He or she manages accounting activities, bank reconciliations, and payable and receivable accounts.

3 Jobs Available
##### Bank Branch Manager

Bank Branch Managers work in a specific section of banking related to the invention and generation of capital for other organisations, governments, and other entities. Bank Branch Managers work for the organisations and underwrite new debts and equity securities for all type of companies, aid in the sale of securities, as well as help to facilitate mergers and acquisitions, reorganisations, and broker trades for both institutions and private investors.

3 Jobs Available
##### Treasurer

Treasury analyst career path is often regarded as certified treasury specialist in some business situations, is a finance expert who specifically manages a company or organisation's long-term and short-term financial targets. Treasurer synonym could be a financial officer, which is one of the reputed positions in the corporate world. In a large company, the corporate treasury jobs hold power over the financial decision-making of the total investment and development strategy of the organisation.

3 Jobs Available
##### Underwriter

An underwriter is a person who assesses and evaluates the risk of insurance in his or her field like mortgage, loan, health policy, investment, and so on and so forth. The underwriter career path does involve risks as analysing the risks means finding out if there is a way for the insurance underwriter jobs to recover the money from its clients. If the risk turns out to be too much for the company then in the future it is an underwriter who will be held accountable for it. Therefore, one must carry out his or her job with a lot of attention and diligence.

3 Jobs Available
##### Transportation Planner

A career as Transportation Planner requires technical application of science and technology in engineering, particularly the concepts, equipment and technologies involved in the production of products and services. In fields like land use, infrastructure review, ecological standards and street design, he or she considers issues of health, environment and performance. A Transportation Planner assigns resources for implementing and designing programmes. He or she is responsible for assessing needs, preparing plans and forecasts and compliance with regulations.

3 Jobs Available
##### Naval Architect

A Naval Architect is a professional who designs, produces and repairs safe and sea-worthy surfaces or underwater structures. A Naval Architect stays involved in creating and designing ships, ferries, submarines and yachts with implementation of various principles such as gravity, ideal hull form, buoyancy and stability.

2 Jobs Available
##### Welding Engineer

Welding Engineer Job Description: A Welding Engineer work involves managing welding projects and supervising welding teams. He or she is responsible for reviewing welding procedures, processes and documentation. A career as Welding Engineer involves conducting failure analyses and causes on welding issues.

2 Jobs Available
##### Field Surveyor

Are you searching for a Field Surveyor Job Description? A Field Surveyor is a professional responsible for conducting field surveys for various places or geographical conditions. He or she collects the required data and information as per the instructions given by senior officials.

2 Jobs Available
##### Highway Engineer

Highway Engineer Job Description: A Highway Engineer is a civil engineer who specialised in planning and building thousands of miles of roads that support connectivity and allow transportation across the country. He or she ensures that traffic management schemes are effectively planned concerning economic sustainability and successful implementation.

2 Jobs Available
##### Conservation Architect

A Conservation Architect is a professional responsible for conserving and restoring buildings or monuments having a historic value. He or she applies techniques to document and stabilise the object’s state without any further damage. A Conservation Architect restores the monuments and heritage buildings to bring them back to their original state.

2 Jobs Available
##### Safety Manager

A Safety Manager is a professional responsible for employee’s safety at work. He or she plans, implements and oversees the company’s employee safety. A Safety Manager ensures compliance and adherence to Occupational Health and Safety (OHS) guidelines.

2 Jobs Available

A Team Leader is a professional responsible for guiding, monitoring and leading the entire group. He or she is responsible for motivating team members by providing a pleasant work environment to them and inspiring positive communication. A Team Leader contributes to the achievement of the organisation’s goals. He or she improves the confidence, product knowledge and communication skills of the team members and empowers them.

2 Jobs Available
##### Orthotist and Prosthetist

Orthotists and Prosthetists are professionals who provide aid to patients with disabilities. They fix them to artificial limbs (prosthetics) and help them to regain stability. There are times when people lose their limbs in an accident. In some other occasions, they are born without a limb or orthopaedic impairment. Orthotists and prosthetists play a crucial role in their lives with fixing them to assistive devices and provide mobility.

6 Jobs Available
##### Veterinary Doctor

A veterinary doctor is a medical professional with a degree in veterinary science. The veterinary science qualification is the minimum requirement to become a veterinary doctor. There are numerous veterinary science courses offered by various institutes. He or she is employed at zoos to ensure they are provided with good health facilities and medical care to improve their life expectancy.

5 Jobs Available
##### Pathologist

A career in pathology in India is filled with several responsibilities as it is a medical branch and affects human lives. The demand for pathologists has been increasing over the past few years as people are getting more aware of different diseases. Not only that, but an increase in population and lifestyle changes have also contributed to the increase in a pathologist’s demand. The pathology careers provide an extremely huge number of opportunities and if you want to be a part of the medical field you can consider being a pathologist. If you want to know more about a career in pathology in India then continue reading this article.

5 Jobs Available
##### Gynaecologist

Gynaecology can be defined as the study of the female body. The job outlook for gynaecology is excellent since there is evergreen demand for one because of their responsibility of dealing with not only women’s health but also fertility and pregnancy issues. Although most women prefer to have a women obstetrician gynaecologist as their doctor, men also explore a career as a gynaecologist and there are ample amounts of male doctors in the field who are gynaecologists and aid women during delivery and childbirth.

4 Jobs Available
##### Ophthalmic Medical Technician

Ophthalmic technician careers are one of the booming careers option available in the field of healthcare. Being a part of this field as an ophthalmic medical technician can provide several career opportunities for an individual. With advancing technology the job of individuals who opt for a career as ophthalmic medical technicians have become of even more importance as he or she is required to assist the ophthalmologist in using different types of machinery. If you want to know more about the field and what are the several job opportunities, work environment, just about anything continues reading the article and all your questions shall be answered.

3 Jobs Available

3 Jobs Available
##### Recreational Worker

A recreational worker is a professional who designs and leads activities to provide assistance to people to adopt a healthy lifestyle. He or she instructs physical exercises and games to have fun and improve fitness. A recreational worker may work in summer camps, fitness and recreational sports centres, nature parks, nursing care facilities, and other settings. He or she may lead crafts, sports, music, games, drama and other activities.

3 Jobs Available
##### Paediatrician

A career as paediatrician has emerged as one of India's most popular career choices. By choosing a career as paediatrician, not only in India but also overseas, one can find lucrative work profiles as demand for talented and professional paediatricians is increasing day by day. If you are passionate about children and have the patience to evaluate and diagnose their issues, you may have a good career as paediatricians. Paediatricians take care of children's physical, mental and emotional health from infancy to adolescence.

3 Jobs Available
##### Actor

For an individual who opts for a career as an actor, the primary responsibility is to completely speak to the character he or she is playing and to persuade the crowd that the character is genuine by connecting with them and bringing them into the story. This applies to significant roles and littler parts, as all roles join to make an effective creation. Here in this article, we will discuss how to become an actor in India, actor exams, actor salary in India, and actor jobs.

4 Jobs Available
##### Acrobat

Individuals who opt for a career as acrobats create and direct original routines for themselves, in addition to developing interpretations of existing routines. The work of circus acrobats can be seen in a variety of performance settings, including circus, reality shows, sports events like the Olympics, movies and commercials. Individuals who opt for a career as acrobats must be prepared to face rejections and intermittent periods of work. The creativity of acrobats may extend to other aspects of the performance. For example, acrobats in the circus may work with gym trainers, celebrities or collaborate with other professionals to enhance such performance elements as costume and or maybe at the teaching end of the career.

3 Jobs Available
##### Video Game Designer

Career as a video game designer is filled with excitement as well as responsibilities. A video game designer is someone who is involved in the process of creating a game from day one. He or she is responsible for fulfilling duties like designing the character of the game, the several levels involved, plot, art and similar other elements. Individuals who opt for a career as a video game designer may also write the codes for the game using different programming languages. Depending on the video game designer job description and experience they may also have to lead a team and do the early testing of the game in order to suggest changes and find loopholes.

3 Jobs Available
##### Talent Agent

The career as a Talent Agent is filled with responsibilities. A Talent Agent is someone who is involved in the pre-production process of the film. It is a very busy job for a Talent Agent but as and when an individual gains experience and progresses in the career he or she can have people assisting him or her in work. Depending on one’s responsibilities, number of clients and experience he or she may also have to lead a team and work with juniors under him or her in a talent agency. In order to know more about the job of a talent agent continue reading the article.

If you want to know more about talent agent meaning, how to become a Talent Agent, or Talent Agent job description then continue reading this article.

3 Jobs Available

Radio Jockey is an exciting, promising career and a great challenge for music lovers. If you are really interested in a career as radio jockey, then it is very important for an RJ to have an automatic, fun, and friendly personality. If you want to get a job done in this field, a strong command of the language and a good voice are always good things. Apart from this, in order to be a good radio jockey, you will also listen to good radio jockeys so that you can understand their style and later make your own by practicing.

A career as radio jockey has a lot to offer to deserving candidates. If you want to know more about a career as radio jockey, and how to become a radio jockey then continue reading the article.

3 Jobs Available
##### Music Teacher

Career as a Music Teacher is a fun and exciting job if you are skilled and passionate about this career. A Music Teacher is responsible for teaching students music, instruments, techniques, technology, singing, and many more. He or she helps students to analyze musical works, and concepts of music and assigns and evaluates lessons.

2 Jobs Available
##### Producer

An individual who is pursuing a career as a producer is responsible for managing the business aspects of production. They are involved in each aspect of production from its inception to deception. Famous movie producers review the script, recommend changes and visualise the story.

They are responsible for overseeing the finance involved in the project and distributing the film for broadcasting on various platforms. A career as a producer is quite fulfilling as well as exhaustive in terms of playing different roles in order for a production to be successful. Famous movie producers are responsible for hiring creative and technical personnel on contract basis.

2 Jobs Available
##### Choreographer

The word “choreography" actually comes from Greek words that mean “dance writing." Individuals who opt for a career as a choreographer create and direct original dances, in addition to developing interpretations of existing dances. A Choreographer dances and utilises his or her creativity in other aspects of dance performance. For example, he or she may work with the music director to select music or collaborate with other famous choreographers to enhance such performance elements as lighting, costume and set design.

2 Jobs Available
##### Copy Writer

In a career as a copywriter, one has to consult with the client and understand the brief well. A career as a copywriter has a lot to offer to deserving candidates. Several new mediums of advertising are opening therefore making it a lucrative career choice. Students can pursue various copywriter courses such as Journalism, Advertising, Marketing Management. Here, we have discussed how to become a freelance copywriter, copywriter career path, how to become a copywriter in India, and copywriting career outlook.

5 Jobs Available
##### Journalist

Careers in journalism are filled with excitement as well as responsibilities. One cannot afford to miss out on the details. As it is the small details that provide insights into a story. Depending on those insights a journalist goes about writing a news article. A journalism career can be stressful at times but if you are someone who is passionate about it then it is the right choice for you. If you want to know more about the media field and journalist career then continue reading this article.

3 Jobs Available
##### News Anchor

A career as news anchor requires to be working closely with reporters to collect information, broadcast newscasts and interview guests throughout the day. A news anchor job description is to track the latest affairs and present news stories in an insightful, meaningful and impartial manner to the public. A news anchor in India needs to be updated on the news of the day. He or she even works with the news director to pick stories to air, taking into consideration the interests of the viewer.

3 Jobs Available
##### Publisher

For publishing books, newspapers, magazines and digital material, editorial and commercial strategies are set by publishers. Individuals in publishing career paths make choices about the markets their businesses will reach and the type of content that their audience will be served. Individuals in book publisher careers collaborate with editorial staff, designers, authors, and freelance contributors who develop and manage the creation of content.

3 Jobs Available
##### Vlogger

In a career as a vlogger, one generally works for himself or herself. However, once an individual has gained viewership there are several brands and companies that approach them for paid collaboration. It is one of those fields where an individual can earn well while following his or her passion. Ever since internet cost got reduced the viewership for these types of content has increased on a large scale. Therefore, the career as vlogger has a lot to offer. If you want to know more about the career as vlogger, how to become a vlogger, so on and so forth then continue reading the article. Students can visit Jamia Millia Islamia, Asian College of Journalism, Indian Institute of Mass Communication to pursue journalism degrees.

3 Jobs Available
##### Editor

Individuals in the editor career path is an unsung hero of the news industry who polishes the language of the news stories provided by stringers, reporters, copywriters and content writers and also news agencies. Individuals who opt for a career as an editor make it more persuasive, concise and clear for readers. In this article, we will discuss the details of the editor's career path such as how to become an editor in India, editor salary in India and editor skills and qualities.

3 Jobs Available
##### Fashion Journalist

Fashion journalism involves performing research and writing about the most recent fashion trends. Journalists obtain this knowledge by collaborating with stylists, conducting interviews with fashion designers, and attending fashion shows, photoshoots, and conferences. A fashion Journalist  job is to write copy for trade and advertisement journals, fashion magazines, newspapers, and online fashion forums about style and fashion.

2 Jobs Available
##### Multimedia Specialist

A multimedia specialist is a media professional who creates, audio, videos, graphic image files, computer animations for multimedia applications. He or she is responsible for planning, producing, and maintaining websites and applications.

2 Jobs Available
##### Gemologist

A career as a gemologist is as magnificent and sparkling as gemstones. A gemologist is a professional who has knowledge and understanding of gemology and he or she applies the same knowledge in his everyday work responsibilities. He or she grades gemstones using various equipment and determines its worth. His or her other work responsibilities involve settling gemstones in jewellery, polishing and examining it.

4 Jobs Available
##### Product Manager

A Product Manager is a professional responsible for product planning and marketing. He or she manages the product throughout the Product Life Cycle, gathering and prioritising the product. A product manager job description includes defining the product vision and working closely with team members of other departments to deliver winning products.

3 Jobs Available
##### Production Manager

Production Manager Job Description: A Production Manager is responsible for ensuring smooth running of manufacturing processes in an efficient manner. He or she plans and organises production schedules. The role of Production Manager involves estimation, negotiation on budget and timescales with the clients and managers.

3 Jobs Available
##### Corporate Executive

Are you searching for a Corporate Executive job description? A Corporate Executive role comes with administrative duties. He or she provides support to the leadership of the organisation. A Corporate Executive fulfils the business purpose and ensures its financial stability. In this article, we are going to discuss how to become corporate executive.

2 Jobs Available

A QA Lead is incharge of the QA Team. The role of QA Lead comes with the responsibility of assessing services and products in order to determine that they meet the quality standards. He or she develops, implements and manages test plans.

2 Jobs Available

A Team Leader is a professional responsible for guiding, monitoring and leading the entire group. He or she is responsible for motivating team members by providing a pleasant work environment to them and inspiring positive communication. A Team Leader contributes to the achievement of the organisation’s goals. He or she improves the confidence, product knowledge and communication skills of the team members and empowers them.

2 Jobs Available
##### Merchandiser

A career as a merchandiser requires one to promote specific products and services of one or different brands, to increase the in-house sales of the store. Merchandising job focuses on enticing the customers to enter the store and hence increasing their chances of buying a product. Although the buyer is the one who selects the lines, it all depends on the merchandiser on how much money a buyer will spend, how many lines will be purchased, and what will be the quantity of those lines. In a career as merchandiser, one is required to closely work with the display staff in order to decide in what way a product would be displayed so that sales can be maximised. In small brands or local retail stores, a merchandiser is responsible for both merchandising and buying.

2 Jobs Available
##### Quality Systems Manager

A Quality Systems Manager is a professional responsible for developing strategies, processes, policies, standards and systems concerning the company as well as operations of its supply chain. It includes auditing to ensure compliance. It could also be carried out by a third party.

2 Jobs Available
##### ITSM Manager

ITSM Manager is a professional responsible for heading the ITSM (Information Technology Service Management) or (Information Technology Infrastructure Library) processes. He or she ensures that operation management provides appropriate resource levels for problem resolutions. The ITSM Manager oversees the level of prioritisation for the problems, critical incidents, planned as well as proactive tasks.

3 Jobs Available
##### Computer Programmer

Careers in computer programming primarily refer to the systematic act of writing code and moreover include wider computer science areas. The word 'programmer' or 'coder' has entered into practice with the growing number of newly self-taught tech enthusiasts. Computer programming careers involve the use of designs created by software developers and engineers and transforming them into commands that can be implemented by computers. These commands result in regular usage of social media sites, word-processing applications and browsers.

3 Jobs Available
##### Product Manager

A Product Manager is a professional responsible for product planning and marketing. He or she manages the product throughout the Product Life Cycle, gathering and prioritising the product. A product manager job description includes defining the product vision and working closely with team members of other departments to deliver winning products.

3 Jobs Available
##### IT Consultant

An IT Consultant is a professional who is also known as a technology consultant. He or she is required to provide consultation to industrial and commercial clients to resolve business and IT problems and acquire optimum growth. An IT consultant can find work by signing up with an IT consultancy firm, or they can work on their own as independent contractors and select the projects they want to work on.

2 Jobs Available
##### Data Architect

A Data Architect role involves formulating the organisational data strategy. It involves data quality, flow of data within the organisation and security of data. The vision of Data Architect provides support to convert business requirements into technical requirements.

2 Jobs Available
##### AI Data Analyst

An AI Data Analyst is responsible for procuring, preparing, cleansing and modelling data utilising machine learning models and new analytical methods. He or she designs and creates data reports in order to provide support to stakeholders to make better decisions.

2 Jobs Available
##### Automation Test Engineer

An Automation Test Engineer job involves executing automated test scripts. He or she identifies the project’s problems and troubleshoots them. The role involves documenting the defect using management tools. He or she works with the application team in order to resolve any issues arising during the testing process.

2 Jobs Available
##### UX Architect

A UX Architect is someone who influences the design processes and its outcomes. He or she possesses a solid understanding of user research, information architecture, interaction design and content strategy.

2 Jobs Available