Class 8 Maths - BIHAR

Algebra Play

In the chapter 'Algebra Play' for Class 8 Bihar Board Mathematics, students enter the fascinating world of letters and numbers. This chapter builds a strong foundation by teaching how to form algebraic expressions, identify terms, coefficients, and like and unlike terms. You will learn how to perform fundamental operations like addition and subtraction on algebraic expressions, and how to evaluate expressions by substituting values for variables. Mastering this chapter is crucial for board exams because it forms the building block for solving linear equations, polynomials, and advanced algebra in higher classes.

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Key Concepts

Variable

A symbol, usually an English alphabet like x, y, or z, that does not have a fixed value and can change.

Constant

A fixed numerical value that does not change, such as 5, -7, or 3/4.

Algebraic Expression

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

Terms and Coefficients

Terms are the parts of an expression added together, and the numerical factor attached to a term's variable is its coefficient.

Like and Unlike Terms

Like terms have the exact same variables with the same exponents, whereas unlike terms do not. Only like terms can be added or subtracted.

Important Formulas

Addition of like terms: a(x) + b(x) = (a + b)x
Subtraction of like terms: a(x) - b(x) = (a - b)x
Area of rectangle (application): Length x Breadth = l * b
Perimeter of rectangle: 2(l + b)

Board Exam Info

In the Bihar Board Class 8 Mathematics examination, this chapter typically carries around 6 to 8 marks. Common question types include identifying coefficients, combining like terms to simplify expressions, adding and subtracting algebraic expressions, and evaluating expressions for given values of variables.

Frequently Asked Questions

What is the difference between a variable and a constant?

A constant has a fixed numerical value (like 5), whereas a variable can take different values and is represented by letters (like x).

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

No, unlike terms cannot be combined into a single term through addition or subtraction. They can only be written side by side with their respective signs.

How do we find the coefficient of x in the term -5xy?

The coefficient of x is everything in the term multiplied by x, which in this case is -5y.

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