CBSE Class 8 > Class 8 Notes > Mathematics (Maths) > PPT: Linear Equations in One Variable
PPT: Linear Equations in One Variable
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Page 1 Linear Equations in One Variable C l a s s - 8 Page 2 Linear Equations in One Variable C l a s s - 8 An equation is a statement in which there is an equality sign between two algebraic expressions. What is an Equation? Page 3 Linear Equations in One Variable C l a s s - 8 An equation is a statement in which there is an equality sign between two algebraic expressions. What is an Equation? Linear Equation A linear equation is an equation that has only one variable, and the highest degree of that variable is 1. Page 4 Linear Equations in One Variable C l a s s - 8 An equation is a statement in which there is an equality sign between two algebraic expressions. What is an Equation? Linear Equation A linear equation is an equation that has only one variable, and the highest degree of that variable is 1. Left Hand Side(LHS)=3x + 4 Right Hand Side(RHS)=10 For x= 2, Let us take LHS and RHS LHS= 3(2) + 4 = 6 + 4 = 10 RHS = 10 Now since, LHS = RHS x = 2 is the solution of the equation. 3x + 4 = 10 Linear Equation Page 5 Linear Equations in One Variable C l a s s - 8 An equation is a statement in which there is an equality sign between two algebraic expressions. What is an Equation? Linear Equation A linear equation is an equation that has only one variable, and the highest degree of that variable is 1. Left Hand Side(LHS)=3x + 4 Right Hand Side(RHS)=10 For x= 2, Let us take LHS and RHS LHS= 3(2) + 4 = 6 + 4 = 10 RHS = 10 Now since, LHS = RHS x = 2 is the solution of the equation. 3x + 4 = 10 Linear Equation Methods for Solving Linear equations in one Variable: Balancing Method In the balancing method, the value of the left-hand side (LHS) remains equal to the value of the right-hand side (RHS) if: The same number is added to both sides of the equation. The same number is subtracted from both sides of the equation. Both sides of the equation are multiplied by the same number. Both sides of the equation are divided by the same number. 1.Balancing Method:Read More
FAQs on PPT: Linear Equations in One Variable
| 1. How do I know if an equation is linear in one variable or not? |  |
Ans. A linear equation in one variable contains only one unknown letter (like x or y) with the highest power of 1, and no multiplication between variables. For example, 2x + 5 = 13 is linear, but x² + 3 = 10 or 2xy = 8 are not. Linear equations have a straight-line graph and exactly one solution.
| 2. What's the difference between solving by transposition and by substitution method? | |
Ans. Transposition moves terms across the equals sign by changing their sign (addition becomes subtraction and vice versa), making it faster for simple equations. Substitution method works better when dealing with pairs of equations. For CBSE Class 8, transposition is the standard technique taught for linear equations in one variable because it's direct and requires fewer steps to isolate the variable.
| 3. Why do I get different answers when I solve the same equation two different ways? | |
Ans. This happens when algebraic rules are applied incorrectly-usually by forgetting to perform the same operation on both sides, or making sign errors during transposition. Every step must maintain balance; whatever is done to one side must be done to the other. Double-check by substituting your answer back into the original equation to verify it's correct.
| 4. How do I solve word problems that need to be converted into linear equations? | |
Ans. Identify the unknown quantity and assign it a variable (usually x), then translate the written information into mathematical expressions step by step. Read carefully for keywords: "more than" means addition, "less than" means subtraction, "times" means multiplication. Once the equation is formed, solve using transposition methods to find the variable's value and answer the original question.
| 5. Can a linear equation in one variable have no solution or infinite solutions, or does it always have exactly one? | |
Ans. Most linear equations in one variable have exactly one solution. However, special cases exist: if simplification leads to a false statement like 0 = 5, there's no solution; if it leads to a true statement like 0 = 0, there are infinite solutions. These cases rarely appear in Class 8 CBSE problems but are important to recognise during exam preparation.
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Document Description: PPT: Linear Equations in One Variable for Class 8 2026 is part of Mathematics (Maths) Class 8 preparation. The notes and questions for PPT: Linear Equations in One Variable have been prepared according to the Class 8 exam syllabus. Information about PPT: Linear Equations in One Variable covers topics like and PPT: Linear Equations in One Variable Example, for Class 8 2026 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for PPT: Linear Equations in One Variable.
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