Class 8 Math: Linear Equations in One Variable Solved Examples & Step Solutions

NexPro Tools Mathematics TeamJune 5, 20266 min read

The best way to gain confidence in mathematics is by studying solved examples. By analyzing how formulas are applied step-by-step, you learn how to tackle complex questions in your homework and exams. Let's walk through standard worked examples for Class 8 Linear Equations in One Variable.

Step-by-Step Solved Problems

Example 1: Linear Equation Solver

Question: Solve for x: 5x + 9 = 2x + 18.

Worked Solution Steps:

  1. Transpose 2x to LHS: 5x - 2x + 9 = 18 => 3x + 9 = 18.
  2. Transpose 9 to RHS: 3x = 18 - 9 = 9.
  3. Divide by 3: x = 9 / 3 = 3.
Final Answer: 3

Self-Practice Method

When studying these examples, cover the solution with a sheet of paper and attempt to solve the question on your own. If you get stuck, reveal the steps one by one to identify where your logic deviated. This active recall method builds long-term problem-solving skills.

šŸ“š Class 8 Math Resource Hub for Linear Equations in One Variable: ā€¢ šŸ§® Interactive Solver: Solve Linear Equations in One Variable Problems - Verify steps in real-time. ā€¢ šŸ“ Timed Practice Quiz: Take Linear Equations in One Variable Online Quiz - Test your speed and concepts. ā€¢ šŸ“„ Printable Worksheet: Download Linear Equations in One Variable PDF Worksheet - Interactive problems with answers. ā€¢ šŸ“ Formula Sheet: View Linear Equations in One Variable Key Equations - Complete revision references. ā€¢ šŸ”„ Next Topic Guide: Understanding Quadrilaterals Study Notes ā€¢ šŸŽ“ Syllabus Overview: Class 8 Mathematics Portal - Access all chapter guides.
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