Class 7 Maths - WEST-BENGAL

Expressions using Letter-Numbers

The chapter 'Expressions using Letter-Numbers' in the Class 7 West Bengal (WBBSE) mathematics curriculum introduces students to the foundations of algebra. It teaches how to use letters (like x, y, a, b) along with numbers to represent unknown quantities and general rules of arithmetic. Students learn to translate everyday word problems into mathematical expressions, simplify algebraic terms, and perform basic operations like addition and subtraction on algebraic expressions. This chapter is extremely crucial for board exams as it builds the essential groundwork for solving equations and advanced algebra in higher classes.

Start Learning Free

Key Concepts

Variables (Letter-Numbers)

Symbols or letters like x, y, or z that do not have a fixed value and can take different numerical values.

Constants

Numbers with a fixed, unchanging value, such as 5, -7, or 3/4.

Algebraic Expression

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

Terms of an Expression

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

Like and Unlike Terms

Like terms have the exact same literal coefficients (variables), while unlike terms have different variables or powers.

Important Formulas

Perimeter of a square = 4 × s (where s is the side length)
Perimeter of a rectangle = 2 × (l + b) (where l is length and b is breadth)
Addition of like terms: ax + bx = (a + b)x
Subtraction of like terms: ax - bx = (a - b)x

Board Exam Info

In the West Bengal Board of Secondary Education (WBBSE) Class 7 mathematics examinations, this chapter typically carries around 6 to 10 marks. Common question types include translating word statements into algebraic expressions, identifying terms and coefficients, and simplifying algebraic expressions by combining like terms.

Frequently Asked Questions

What is the difference between an algebraic expression and an equation?

An algebraic expression has no equals sign (=), while an equation always contains an equals sign relating two expressions.

How do we add or subtract like terms?

We add or subtract the numerical coefficients of the terms while keeping the common variable part unchanged.

Can we add unlike terms like 3x and 4y?

No, unlike terms cannot be combined into a single term; the expression simply remains as 3x + 4y.

Learn Expressions using Letter-Numbers with Your AI Tutor

10 different ways to study this chapter. Free for 3 chapters per day.

Lecture

Key Points

Interactive

Quiz

Flashcards

Start Learning Free

More Maths Chapters - WEST-BENGAL Class 7