Introduction to Algebraic Expressions

100%

Chapter Twelve Algebraic Expression

In class seven teacher wants to teach algebraic expression to the students. So, she gave the following example:

Teacher: Suppose Ram and Raghav are siblings. Their mother gives them some marbles. Suppose Ram has two marbles more than Raghav, but the exact number of marbles they both have is unknown. Only we know that Raghav has two more marbles than Ram.

If you have to express this mathematically how will you do it?

Student: We don't know the exact number of marbles Ram has. Hence, we assume that Ram has X number of marbles. Now, we know that Raghav has two more marbles than Ram.

So, it can be expressed as, X plus two.

Teacher: Good! But what is X plus two? This X plus two is the algebraic expression.

So, an algebraic expression is defined as

"The combination of numbers, variables, constants and operators like plus, minus signs"

The above example is the best example of algebraic expression in which

Now, let us see what are Constants, Variables, and Operators.

(i) Constant:

A symbol having a fixed numerical value is called a constant. Example: one, Pi equals three point fourteen etc .... are the examples of constants.

(ii) Variable:

Operators: Operators includes all the operation like addition, subtraction, multiplication, division, equal to, etc ..

Terms of an algebraic expression:

Factors of a Term

Coefficients

Like and Unlike Terms

(i) Like terms: Like terms are terms that have the same variables and powers. The coefficients do not need to match.

(ii) Unlike terms: Unlike terms are two or more terms that do not have the same variables or powers.

Types of Algebraic Expressions

Monomials, Binomials, Trinomials, and Polynomials

One) Monomial:

Two) Binomial:

Addition and Subtraction of Algebraic Expressions

Addition of an algebraic expression

Finding Value of an Expression

Formulae and Rules

Area formulas

Area of the square:

Area of the rectangle:

Patterns in Geometry

Overview

The document introduces algebraic expressions, explaining fundamental concepts like constants, variables, and operators, along with various types of expressions such as monomials, binomials, and polynomials. It provides examples to enhance understanding.

Key Points

1Algebraic expressions are combinations of numbers, variables, and operators
2Constants have fixed numerical values, while variables can change
3Algebraic expressions can be classified as monomials, binomials, or trinomials
4Addition of algebraic expressions is only possible between like terms
5Factors of a term include both numeric and algebraic components

Details

Category: Education

PDF
PEACE EDUCATION: A Pathway to a Culture of Peace
This document discusses the principles and methods of nonviolence, exploring its ethical, moral, and practical aspects in promoting peace and social justice. It highlights historical examples and the philosophies of notable figures like Gandhi and Martin Luther King, Jr.
PDF
EF: Research Methods
This document provides insights into the application of theory within research design across qualitative, quantitative, and mixed methods approaches, detailing the frameworks and methodologies applicable to various research contexts.
PDF
ROTC 11 GENERAL ORDER To take charge of this post, and all government property in view To walk my po
ROTC 11 GENERAL ORDER To take charge of this post, and all government property in view To walk my post in military manner, keeping always on the alert, and observing everything that
PDF
AUDIO - Electrical Utility Safety Rules Study Guide
This document serves as a formal rulebook detailing the definitions and requirements necessary to pass the exam on EUSR rules related to electrical safety, organized into clearly defined sections.
PDF
AUDIO - Arborists in Proximity Study Guide
This study guide covers key compliance materials and safety regulations for arborists working in proximity to electrical apparatus, outlining critical guidelines and exam tips for maintaining safety standards in the field.