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Linear equations in one variable are algebraic equations where the highest power of the variable is one. This chapter addresses techniques for solving such equations, including those with variables on both sides and methods for reducing equations to simpler forms. The importance of understanding linear equations is emphasized, as they are foundational for solving a variety of real-life problems.
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Sections
References
NCERT Study MaterialClass Notes
Memorization
What we have learnt
- An algebraic equation is an...
- Linear equations in one var...
- To solve equations, one can...
Final Test
Revision Tests
Chapter FAQs
What we have learnt
- An algebraic equation is an equality involving variables, indicating the equivalence of the expressions on both sides.
- Linear equations in one variable are characterized by containing only one variable that is not raised to a power greater than one.
- To solve equations, one can perform equivalent operations on both sides while maintaining the equality.
Key Concepts
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Term: Algebraic Equation
Definition: An equation involving variables and an equality sign, representing that the two sides are equal in value.
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Term: Linear Equation
Definition: An equation where the highest power of the variable is one, typically appearing in the form ax + b = c.
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Term: Solution
Definition: The value(s) of the variable(s) that make an equation true.
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Term: Transposing
Definition: The act of moving a term from one side of an equation to another while changing its sign.
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Term: Reducing Equations
Definition: The process of simplifying an equation to make it easier to solve, often by eliminating fractions or combining like terms.