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3. Algebra

Algebra introduces the use of symbols to represent numbers and quantities, generalizing arithmetic operations. It encompasses algebraic expressions, identities, operations, factorization, and linear equations in one variable. Techniques such as substitution and application in word problems highlight the practical aspects of algebra in solving real-world issues.

Sections

  • 3

    Algebra

    Algebra involves using symbols and letters to represent numbers and solve equations, providing a foundation for understanding mathematical concepts.

    Learning Practice

  • 3.1

    Introduction To Algebra

    Algebra uses symbols and letters to represent numbers, enabling the generalization of arithmetic operations to solve problems with unknown values.

    Learning Practice

  • 3.2

    Algebraic Expressions

    Algebraic expressions combine numbers and variables using operations, and can be categorized into monomials, binomials, trinomials, and polynomials.

    Learning Practice

  • 3.2.1

    Types Of Algebraic Expressions

    This section discusses various types of algebraic expressions, including monomials, binomials, trinomials, and polynomials.

    Learning Practice

  • 3.3

    Operations On Algebraic Expressions

    This section covers the key operations—addition, subtraction, multiplication, and division—on algebraic expressions, essential for manipulating and solving algebraic equations.

    Learning Practice

  • 3.3.1

    Addition And Subtraction

    This section introduces the concepts of addition and subtraction of algebraic expressions, emphasizing the importance of combining like terms.

    Learning Practice

  • 3.3.2

    Multiplication

    This section covers multiplication in algebra, focusing on how to use the distributive property, repeat factorization, and apply algebraic identities for multiplying algebraic expressions.

    Learning Practice

  • 3.3.3

    Division

    This section discusses the division of algebraic expressions, specifically the division of monomials and polynomials by monosomials using the distributive law.

    Learning Practice

  • 3.4

    Algebraic Identities

    Algebraic identities are equations that are universally true for all values of the variables involved.

    Learning Practice

  • 3.5

    Factorization

    Factorization involves breaking down algebraic expressions into a product of their factors using various methods.

    Learning Practice

  • 3.5.1

    Methods Of Factorization

    This section describes various methods of factorization in algebra, highlighting techniques such as common factor extraction, grouping terms, and using algebraic identities.

    Learning Practice

  • 3.6

    Linear Equations In One Variable

    This section introduces linear equations in one variable and the rules for solving these equations.

    Learning Practice

  • 3.7

    Substitution Method In Algebra

    The substitution method in algebra involves replacing a variable with a specific value or expression to simplify calculations or solve equations.

    Learning Practice

  • 3.8

    Application In Word Problems

    This section focuses on translating word problems into algebraic expressions and equations.

    Learning Practice

References

m9-3.pdf

Class Notes

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What we have learnt

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