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Linear Equations in One Variable Class 8 PPT
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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
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FAQs on Linear Equations in One Variable Class 8 PPT
| 1. What is a linear equation in one variable? |  |
Ans. A linear equation in one variable is an equation that can be written in the form ax + b = 0, where "a" and "b" are constants and "x" is the variable. It represents a straight line on a graph and has a degree of 1.
| 2. How can I solve a linear equation in one variable? | |
Ans. To solve a linear equation in one variable, you need to isolate the variable on one side of the equation. You can do this by applying various algebraic operations such as addition, subtraction, multiplication, and division to both sides of the equation. The goal is to get the variable on its own on one side and simplify the equation to find its value.
| 3. What are the different methods to solve linear equations in one variable? | |
Ans. There are multiple methods to solve linear equations in one variable, including:
- The Addition/Subtraction Method: Add or subtract terms on both sides of the equation to isolate the variable.
- The Multiplication/Division Method: Multiply or divide terms on both sides to isolate the variable.
- The Substitution Method: Substitute the value of one variable in terms of another variable and solve the resulting equation.
- The Graphical Method: Plot the equation on a graph and find the point of intersection with the x-axis, which represents the solution.
| 4. Can a linear equation have more than one solution? | |
Ans. No, a linear equation in one variable can have only one solution. This is because a linear equation represents a straight line on a graph, and it can intersect the x-axis at most once. Therefore, there is only one value of the variable that satisfies the equation.
| 5. How can linear equations in one variable be applied in real-life situations? | |
Ans. Linear equations in one variable have various applications in real-life situations, such as:
- Calculating the cost of items based on their quantity or weight.
- Determining the time it takes to travel a certain distance at a given speed.
- Estimating the growth or decay of populations over time.
- Analyzing the relationship between variables in scientific experiments.
- Solving problems related to profit, loss, and revenue in business.
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