Ch 10 introduces algebraic expressions — combinations of variables, constants, and operations. Students learn to identify terms, coefficients, and types of expressions, and perform addition and subtraction of algebraic expressions.
An algebraic expression consists of terms connected by + or −. Each term is a product of factors. The numerical factor is the coefficient. For example, in 3x²y, the coefficient is 3, variables are x and y.
Monomial: 1 term (e.g., 5x²). Binomial: 2 terms (e.g., 3x + 2). Trinomial: 3 terms. Polynomial: any expression with 1 or more terms. Like terms have the same variable parts and can be combined.
To add/subtract expressions: collect like terms and combine their coefficients. Unlike terms remain as they are. Arrange terms in descending powers for clarity.
Download: https://ncert.nic.in/textbook/pdf/gemh110.pdf | Complete book: https://ncert.nic.in/textbook/pdf/gemh1ps.zip
Like terms have the same variables raised to the same powers (e.g., 3x² and 5x²). Unlike terms have different variable parts (e.g., 3x² and 5x). Only like terms can be added or subtracted.
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