8th Math NCERT Chapter 2
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Important Topics to Study:
1. Introduction to Linear Equations in One Variable:
– Linear expressions with one variable.
– Distinction between linear and non-linear expressions.
– Understanding linear equations as equalities involving variables.
2. Solving Equations with Variables on Both Sides:
– Solving equations with variable terms on both sides.
– Performing operations to simplify and find the solution.
– Transposing terms to balance both sides of the equation.
3. Reducing Equations to Simpler Form:
– Multiplying both sides to simplify expressions.
– Opening brackets and simplifying the equation.
– Transposing terms to arrive at the solution.
Summary:
– The chapter covers linear equations with one variable, emphasizing the importance of maintaining balance in equations by performing operations on both sides. It also explores techniques for solving equations with variables on both sides and reducing complex equations to simpler forms for easier solution finding.
What is the defining characteristic of linear expressions used in forming equations?
Linear expressions used in forming equations have the highest power of the variable as 1.
Define the Left Hand Side (LHS) and Right Hand Side (RHS) of an algebraic equation.
The LHS of an algebraic equation is the expression on the left of the equality sign, while the RHS is the expression on the right of the equality sign.
How do we find the solution of an equation?
To find the solution of an equation, we perform the same mathematical operations on both sides of the equation to keep the balance, leading to the determination of values that satisfy the equality.
In the equation 2x – 3 = x + 2, how is the solution obtained?
The solution is obtained by simplifying the equation: 2x – 3 = x + 2 becomes x = 5 after subtracting x from both sides and simplifying.
Solve the equation 6(1/3)x + 1/3 = x – 1.
The solution to the equation is x = -1, achieved by multiplying both sides by 6, simplifying the expressions, and solving for x through appropriate operations.
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