Algebra: Fundamental Concept
ICSE · Class 6 · Mathematics
Quick revision notes for Algebra: Fundamental Concept — ICSE Class 6 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
Constants and Variables
- A constant is a symbol that has a fixed numerical value, such as 5, -3, or 2/7.
- A variable is a symbol that can take different values, such as x, y, or z.
- In an expression like 3x, 3 is a constant and x is a variable.
Terms and Like/Unlike Terms
- A term is a constant, a variable, or a product or quotient of constants and variables.
- Like terms have the same algebraic factors (same variables raised to same powers), e.g., 2xy and -5xy.
- Unlike terms have different algebraic factors, e.g., 3x and 4y.
Types of Algebraic Expressions
- Monomial: An expression with one term, e.g., 5x, -7ab.
- Binomial: An expression with two unlike terms, e.g., 2x + 3y.
- Trinomial: An expression with three unlike terms, e.g., x² + 2x + 1.
Coefficients and Degree of Polynomials
- A coefficient is the numerical factor in a term, e.g., in 5x, 5 is the coefficient.
- The degree of a monomial is the sum of the exponents of its variables.
- The degree of a polynomial is the highest degree among its terms.
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