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RD Sharma Class 7 Maths Solutions Chapter 8 - Linear Equations in One Variable

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Last updated date: 21st Jul 2024
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RD Sharma Solutions for Class 7 Maths Chapter 8 - Linear Equations in One Variable - Free PDF Download

RD Sharma Class 7 Chapter 8  introduces the concept of Linear Equations in One Variable. This chapter teaches students about the equation consisting of variables with various constants and essential concepts of the way to solve a linear equation in one variable. Also, this chapter helps students to solve equations on either side with variables, parentheses and different coefficients while solving for linear equations in one variable. Vedantu’s subject matter experts have solved these solutions from the exam point of view and are downloaded as PDF at no cost.


Vedantu offers the RD Sharma Class 7 Math Solutions Chapter 8 - Linear Equations in One Variable to the students which are completely free of cost. These RD Sharma Class 7 Math Solutions Chapter 8 - Linear Equations in One Variable are provided in PDF format which may be downloaded by the students in order that they will study offline. The subject matter experts at Vedantu have prepared these solutions of The RD Sharma Class 7 Math Solutions Chapter 8 - Linear Equations in One Variable appropriately. These solutions of Linear Equations in One Variable are made concerning the newest NCERT syllabus and guidelines. These solutions are made to assist and guide students and make them prepared for their examinations. These solutions assist students in their homework and assignments. Students can top the ultimate final exams and ace the topic by practicing these solutions. 

What are Linear Equations?

The Equation in which the highest power of the variable is always 1 is known as a linear equation. It is known as a first-degree equation. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, and A, B and C are constants. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, and A and B are constants. 


Important Topics In Class 7 Math Solutions Chapter 8 - Linear Equations in One Variable

  • What is an Equation?

An Equation is a statement of equality that involves one or more literals.


  • What is a Linear equation?

A linear equation is the one in which the highest power of the variables is one.

Other important topics covered:


  • Finding the solution of an equation by the trial and error method and systematic method.

  • Equations involving addition

  • Equations involving subtraction

  • Equations involving multiplication

  • Equations involving division

  • Transposition method

  • Applications of linear equations to practical problems

FAQs on RD Sharma Class 7 Maths Solutions Chapter 8 - Linear Equations in One Variable

1. How many solutions can a linear equation in one variable have?

Every linear equation in one variable has a one and unique solution. If the equation has two or more variables then it known as a linear equation in two variables or linear equations in three variables and so on.  The number of solutions varies according to the count of variables an equation contains.

2. What is the application of linear equations?

There are various applications of linear equations in real life such as solving word problems involving relationships between numbers. In geometry, problems involving perimeter, solving percentage and money problems including simple interest can also be done using linear equations.

3. How many solutions can a linear equation in one variable have?

The Equation in which the highest power of the variable is always 1 is known as a linear equation. It is also called a first-degree equation. Every linear equation in one variable has one and unique solution. If the equation has two or more variables then it is known as a linear equation in two variables or linear equations in three variables and so on.  The number of solutions varies according to the count of variables an equation consists of.

4. What are the applications of linear equations?

There are various applications of linear equations in real life such as solving word problems involving relationships between numbers. In geometry, problems involving perimeter, solving percentage and money problems including simple interest can also be done using linear equations.

5. Where can I find useful study resources for RD Sharma Class 7 Math Solutions Chapter 8 - Linear Equations in One Variable?

You can find RD Sharma Class 7 Math Solutions Chapter 8 - Linear Equations in One Variable on the Vedantu app or website. The resources are created by professionals in the field and the content is accurate and reliable. Students can find revision notes, important questions, question papers etc on the site. These study materials are completely free and there is no cost involved. To access these useful study resources, all students have to sign in and then they will be able to download what they want in pdf format online or offline. 

6. What are linear equations?

The equation in which the highest power of the variable is always 1 is called a linear equation. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, and A, B and C are constants. It is also known as the one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, and A and B are constants. 

7. What are some facts related to linear equations?

  • If a number is added, subtracted, multiplied, or divided into both sides of the equation then the solution of a linear equation remains unaffected.

  • The value of the variable which makes a linear equation true is known as  the solution or root of the linear equation.

  • The graph of a linear equation with one or two variables forms a straight line.