Algebra: Fundamental Concepts
ICSE · Class 7 · Mathematics
Summary of Algebra: Fundamental Concepts for ICSE Class 7 Mathematics. Key concepts, important points, and chapter overview.
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Overview
Algebra studies numbers, letters, and the rules for combining them. Constants have fixed values, while variables can change. Algebraic expressions are formed from terms joined by plus or minus signs. Special forms of expressions include monomials, binomials, trinomials, multinomials, and constant po
Key Concepts
A constant is a digit
A constant is a digit or number with a fixed value. A combination of two or more constants is also a constant. Every constant number such as 5, -5, 7/
A variable is a letter
A variable is a letter of the English alphabet that can take different values. A combination of two or more variables is a variable, and a combination
A term is a number
A term is a number, a variable, or a combination of numbers and variables by product or quotient. Product and division do not separate terms.
An algebraic expression is a collection
An algebraic expression is a collection of one or more terms separated by plus or minus signs. For example, 3x + 4y has two terms, while 3x × 4y has o
A monomial has one term
A monomial has one term, a binomial has two unlike terms, a trinomial has three unlike terms, and a multinomial has more than three unlike terms.
Learning Objectives
- Distinguish between constants and variables
- Identify terms and algebraic expressions
- Classify expressions as monomials, binomials, trinomials, multinomials, or constant polynomials
- Find factors, coefficients, and degrees of monomials and polynomials
- Identify like and unlike terms
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