CBSE Class 7  >  Class 7 Notes  >  Mathematics (Ganita Prakash) - New NCERT Part 1 & 2  >  NCERT Textbook: Expressions using Letter-Numbers

NCERT Textbook: Expressions using Letter-Numbers

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FAQs on NCERT Textbook: Expressions using Letter-Numbers

1. How do I write algebraic expressions using letters for unknown numbers in Class 7 maths?
Ans. Algebraic expressions use letters (variables) to represent unknown numbers and help generalise mathematical patterns. For example, if a number is unknown, write it as 'x'; if you need to add 5 to it, write 'x + 5'. Letters make it easy to express relationships between quantities without knowing exact values. Variables like a, b, x, y are placeholders that can take any value, forming the foundation of working with expressions using letter-numbers in CBSE Class 7 mathematics.
2. What's the difference between a term, coefficient, and variable when solving expressions with letter-numbers?
Ans. In an expression like '3x + 7', the term '3x' contains the variable 'x' and coefficient '3' (the number multiplying the variable). Terms are individual parts separated by + or - signs; '3x' and '7' are two separate terms. The variable is the unknown quantity (x), while the coefficient tells how many times that variable appears. Understanding these components helps simplify and evaluate algebraic expressions correctly.
3. Why do we use letters in mathematical expressions instead of just leaving blanks?
Ans. Letters provide a systematic way to represent unknown quantities and create general formulas applicable to many situations. Writing 'length = l' or 'cost = 2x + 50' allows one expression to work for infinite values rather than solving individual cases repeatedly. This symbolic representation forms the basis of algebra, enabling students to identify patterns, form equations, and solve real problems efficiently using variables and letter-numbers.
4. How do I simplify expressions by combining like terms with variables in Class 7?
Ans. Like terms contain identical variables raised to the same power-combine only these. For instance, '3x + 5x = 8x', but '3x + 5y' cannot combine. Group all terms with the same variable together, then add or subtract their coefficients. For example, '2a + 3b + 4a - b' becomes '6a + 2b'. Refer to mind maps and flashcards on EduRev to practice identifying and merging like terms in algebraic expressions using letter-numbers.
5. What are some real-life situations where we use algebraic expressions with letters in everyday maths?
Ans. Algebraic expressions help calculate costs ('total = 5x + 100' where x is quantity), ages ('my age after 10 years = a + 10'), distances, and areas. A shopkeeper uses expressions to find profit; a student calculates test scores using formulas. These practical scenarios show why expressing relationships through variables matters beyond textbooks, making letter-numbers an essential skill for solving real problems in CBSE Class 7 mathematics.
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