The linear equations in two variables worksheets for class 9th consists of more than 8 practice worksheets which are essential to master the chapter.
This chapter is included in several renowned textbooks such as NCERT, RS Aggarwal, RD Sharma, and ML Aggarwal. It offers a comprehensive exploration of linear equations and their applications, making it an essential topic for students aiming to strengthen their mathematical foundation.
To get more information, or maybe just refresh your memory, about Linear Equations in Two Variables, read more on Wikipedia.
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Table of Contents
Linear Equations in Two Variables Worksheets
Worksheets Type 1: Expressing in Standard form
These worksheets focus on writing the standard form of linear equations. Students will learn how to identify and determine the coefficients ‘a’, ‘b’, and the constant ‘c’ in these standard forms. Understanding this structure is crucial as it forms the basis for solving more complex mathematical problems. The linear equations in two variables worksheets given below cover all of these topics.
Worksheet Type 2: Verifying the given solution
Another significant area covered is verifying whether given values of ‘x’ and ‘y’ satisfy a specific linear equation. This involves substituting these values into the equation and checking if the equality holds true, reinforcing the concept of solutions to linear equations.
The linear equations in two variables worksheets are given below for free download.
Worksheet Type 3: Finding solutions of the Equations
Students will also engage in finding multiple solutions for a given linear equation in two variables. This helps in understanding that linear equations can have infinitely many solutions, particularly when represented graphically as a straight line. The linear equations in two variables worksheets on finding the solution is given below.
Worksheet Type 4: Finding the value of ‘k’ at a given solution
The chapter further delves into calculating the value of an unknown variable when one solution of the equation and the equation itself are provided. This section builds analytical thinking and problem-solving skills.
Worksheet Type 5: Forming Linear Equations from Statements
These linear equations in two variables worksheets are designed to help you practise more effectively. They include a variety of exercises that allow you to convert simple statements into linear equations with two variables. By working through these exercises, you will learn how to identify variables and constants in a given statement. You will also understand how to form linear equations using these elements. This practice will make it easier for you to solve real-life problems using linear equations. The worksheets are easy to follow and help build a strong foundation in this topic.
Method : Identify two variables, assign them symbols (like x and y), express the relationship between them using mathematical operations, and set it equal to a constant to form an equation in the format ax + by = c.
Worksheet Type 6: Drawing graphs from the given Equation
Lastly, drawing graphs of linear equations is an integral part of the chapter. Students will learn to plot points, draw straight lines, and interpret these graphs to understand the relationships between variables. This graphical representation aids in visualising the solutions and enhances conceptual clarity. The linear equations in two variables worksheets on graphs is given below.
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