NCERT Solutions for Class 7 Maths Chapter 4 Simple Equation

 

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NCERT Solutions for Class 7 Maths Chapter 4 Simple Equation- 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. In this chapter, there is a total of 4 exercises with 18 questions in them. The NCERT Solutions for Class 7 Maths Chapter 4 Simple Equation are designed and solved by our subject experts to help students in their preparation of CBSE final exam. These NCERT Solutions are given here with a detailed explanation of each and every problem of NCERT textbook. 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 these solutions as worksheets to prepare for their CBSE final exams.

NCERT Class 7 Maths Chapter 4 Simple Equation begins with a fun game 'mind-reading' and introduces equation a new concept of algebra. 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.


Example- The sum of three times a number and 11 is 32. Find the number.

Solution-  Assume that the unknown number is x, then three times the number is 3x. And the sum of 3x and 11 is 32. That is,  3x + 11 = 32.

We go stepwise to separate the variable x on the LHS of the equation. The LHS is 3x+11. We will first subtract 11 from it so that we get 3x. From this, in the next step, we will divide by 3 to get x. Remember we must do the same operation on both the sides of the equation. Therefore, subtracting 11 from both sides,

                                      \\3x + 11-11 = 32-11\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:(Step \:1)\\\\3x=21

Now divide both sides by 3,

                                     \\\frac{3x}{3}=\frac{21}{2}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:(Step \:2)\\\\\:x=7\:\:Which\:is\:the\:solution


Topics of NCERT Grade 7 Maths Chapter 4 Simple Equation-

4.1 A Mind-Reading Game

4.2  Setting up of an Equation

4.3  Review of what we know

4.4  What Equation is?

4.4.1  Solving an Equation

4.5 More Equations

4.6 From Solution to Equation

4.7 Applications of Simple Equations to Practical Situations

The complete Solutions of NCERT Class 7 Mathematics Chapter 4 is provided below:

 

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 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

 

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