Linear Equations In One Variable Class 8 Worksheets

What are Linear Equations in One Variable?

Linear equations in one variable are mathematical expressions that involve a single variable raised to the power of 1. These equations can be solved to find the value of the variable that satisfies the equation.

Why are Linear Equations in One Variable Important?

Linear equations in one variable are fundamental in algebra and have broad applications in various fields, such as physics, economics, and engineering. They help us understand relationships between variables and solve real-life problems.

Solving Linear Equations in One Variable

To solve linear equations in one variable, follow these steps:

Isolate the variable term on one side of the equation.
Perform the same operation on both sides of the equation to maintain balance.
Simplify and solve for the variable.

Examples of Linear Equations in One Variable

Let’s look at some examples of linear equations in one variable:

Example 1:

2x + 3 = 9

Step 1: Isolate the variable term.

2x = 6

Step 2: Divide both sides by 2.

x = 3

Example 2:

5(2 – x) = 10

Step 1: Distribute the 5.

10 – 5x = 10

Step 2: Subtract 10 from both sides.

-5x = 0

Step 3: Divide both sides by -5.

x = 0

Linear Equations in One Variable Class 8 Worksheets

Class 8 worksheets on linear equations in one variable are designed to help students practice solving these equations. These worksheets contain various exercises and problems that gradually increase in difficulty, allowing students to strengthen their understanding and skills.

How to Use the Worksheets

Here are some tips on using the class 8 worksheets on linear equations in one variable:

Read the instructions carefully for each problem.
Identify the variable and the given information.
Apply the steps to solve the equation.
Check your solution by substituting the value back into the equation.

Benefits of Using Worksheets

Working on class 8 worksheets on linear equations in one variable offers several benefits:

Enhances problem-solving skills
Improves understanding of linear equations
Builds confidence in algebraic concepts
Prepares students for higher-level math

Conclusion

Linear equations in one variable are essential in mathematics and have practical applications. By practicing solving these equations through worksheets, students can develop their problem-solving abilities and strengthen their grasp of algebraic concepts.