Class 7 Maths - ODISHA

Expressions using Letter-Numbers

The chapter 'Expressions using Letter-Numbers' introduces Class 7 students under the Odisha BSE board to the fascinating world of Algebra. Students learn how to use letters, such as x, y, or a, to represent unknown numbers and combine them with numbers and operation signs like addition and subtraction to form algebraic expressions. This fundamental chapter teaches you how to translate ordinary language sentences into mathematical statements. It is crucial for board exams because it builds the core foundation for solving linear equations, polynomials, and advanced mathematical problems in higher classes.

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Key Concepts

Literal Numbers (Variables)

Letters such as x, y, z, a, b used to represent numbers whose values are not fixed and can change.

Constants

Fixed numbers like 5, -7, 3/4 that have a definite and unchanging numerical value.

Algebraic Expression

A combination of constants and variables connected by basic mathematical operations like addition, subtraction, multiplication, and division.

Terms of an Expression

The parts of an algebraic expression separated by plus (+) or minus (-) signs.

Coefficient

The numerical factor attached to a variable in a term, such as 5 in the term 5x.

Important Formulas

Sum of x and 5 = x + 5
Subtract y from 10 = 10 - y
Product of 4 and a = 4a
Quotient of p divided by 3 = p / 3
Perimeter of a square with side s = 4 × s = 4s

Board Exam Info

In the Odisha BSE Class 7 Mathematics annual examination, this chapter typically carries around 6 to 8 marks. Common question types include translating word statements into algebraic expressions, identifying terms and coefficients, and evaluating the value of an expression for given values of variables.

Frequently Asked Questions

What is the difference between a variable and a constant?

A variable is a letter whose value can change, while a constant is a fixed number with a definite value.

How do we write 'x multiplied by 5' in algebra?

It is written as 5x, where the number is always placed before the letter.

Why do we use letters in mathematics?

Letters help us write general rules, formulas, and solve problems where the exact number is unknown.

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