Class 7 Maths Chapter 12 | Algebraic Expressions Full Chapter Explanation & Exercise

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The text discusses algebraic expressions, focusing on variables, constants, and arithmetic operations to form expressions. It emphasizes the importance of understanding terms, factors, and combining like terms to simplify expressions in algebra.

Insights

  • Algebraic expressions involve variables (letters from A to Z) representing numbers, terms (numbers and letters connected by operations), and factors (multiplicative components).
  • Understanding factors (numerical and literal) is crucial in algebra to differentiate between values and variables in expressions.
  • The text emphasizes the significance of identifying terms and factors in expressions, showcasing their role in multiplication and simplification.
  • The process of solving algebraic expressions involves combining like terms, opening brackets, distributing terms, and arranging expressions correctly for accurate solutions.

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Recent questions

  • What are algebraic expressions?

    Combinations of numbers, letters, and operations in math.

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Summary

00:00

Algebraic Expressions: Variables, Terms, and Factors Explained

  • Chapter Number-12 in NCRT book is about algebraic expressions.
  • Algebraic expressions involve letters from A to Z, known as literal numbers in mathematics.
  • These letters can represent any number and are called variables.
  • Algebra is the branch of mathematics that deals with arithmetic relationships using little numbers and fundamental operations.
  • Expressions in algebra involve variables, fundamental operations, and little numbers.
  • An algebraic expression consists of terms, which are numbers and letters connected by multiplication, division, and powers.
  • Terms in an expression can be positive or negative and are combined using operation signs like plus and minus.
  • Factors in algebra refer to numbers that multiply to create a product.
  • Factors can be numerical or literal, with numerical factors being actual values and literal factors being letters.
  • Understanding factors is crucial in algebra to differentiate between numerical and literal factors in expressions.

17:36

Understanding Algebraic Expressions and Numerical Factors

  • Numerical factor is represented by 4 and is explained as a square Xcent 2X.
  • The numerical factor is -1, which is the multiplying key.
  • The expression for X squared minus XY is discussed.
  • A tree diagram is used to represent algebraic expressions.
  • Factors are explained within the context of the tree diagram.
  • Terms and factors are differentiated within the tree diagram.
  • The concept of numerical factor of atomic is elaborated.
  • The meaning of Koi Fish End in Hindi is discussed.
  • The concept of like terms and unlike terms in algebraic expressions is explained.
  • The types of algebraic expressions, including monomial, binomial, and trinomial, are detailed.

34:55

"Finding Value in Mathematical Expressions"

  • Subsidy has to shoot the value from you and He has to find the value of the expression
  • Find out the expression for whom is it clear?
  • Understand further to find out the value of id
  • Egg request three if only one is spent
  • The middle value is tan. The value of p is - two.
  • What is the expression for Re-5?
  • Look at the only person worth the affair.
  • For multiple nights with 3 - 5 will give you Meaning of Water
  • It Will Give You Two - 50 - 5 What 7
  • Forth bracket forth rapid plus Five, just like it was written, don't leave anything out.

52:15

Understanding Algebraic Expressions and Their Components

  • The text discusses solving NCRT questions, focusing on algebraic expressions and verbalizing their formation.
  • It explains the process of forming expressions using variables, constants, and arithmetic operations.
  • Specific examples are provided, such as solving subtraction questions and understanding the meaning of multiplication.
  • The text delves into the concept of product of numbers and the significance of arithmetic operations in expressions.
  • It elaborates on the process of squaring numbers and adding or multiplying them in algebraic expressions.
  • The text emphasizes identifying terms and factors in given expressions, showcasing the importance of understanding their components.
  • It details the factors of various expressions, highlighting the multiplication involved in determining factors.
  • The text provides examples of expressions like A+B and their factors, emphasizing the role of multiplication in factorization.
  • It discusses the process of identifying terms and factors in expressions like 5y+3x^2, showcasing the multiplication involved in factorization.
  • The text concludes by explaining the significance of numerical coefficients in expressions and their role in algebraic equations.

01:12:14

Numerical Conference: Terms, Factors, and Variables

  • The Terms Study Conference needs to be announced as leave.
  • There is a numerical question inside, with only a numerical friend present.
  • The medical condition is one in three square.
  • The girlfriend in the tube is a numerical boyfriend.
  • The factors of power of three of tests are Shetty Multiple II Multiply Soil and Multi.
  • The question number one and two involve factors.
  • The question number three involves a square item.
  • The expression minister 2442 is used for multiplexes with Punjabi.
  • The question involves a square item and a term with no feet.
  • The variables in the expression are not exactly similar.

01:30:19

Mastering Algebraic Expressions: Exercise 12.2 Simplified

  • The text discusses solving mathematical exercises, specifically Exercise 12.2, focusing on algebraic expressions.
  • It emphasizes watching previous videos, like Exercise 12.1, before proceeding to Exercise 12.2 for better understanding.
  • The text instructs on simplifying expressions by combining like terms and opening brackets.
  • It details the process of distributing and multiplying terms within brackets to simplify expressions.
  • It highlights the importance of arranging terms correctly before solving equations.
  • The text provides examples of combining terms and simplifying expressions step by step.
  • It stresses the significance of identifying common factors and simplifying expressions accordingly.
  • It explains the process of adding like terms and arranging them in a clear manner.
  • The text offers alternative methods for adding terms, either by direct calculation or by writing out the steps.
  • It concludes by presenting additional exercises for practice, encouraging thorough understanding and practice of the concepts discussed.

01:49:10

"Mathematical Puzzle: Solve with Practical Instructions"

  • The method involves lighting up a column called "To call above and below the city" with the word "methadone."
  • Start by clearing the soil, then proceed with the process.
  • Utilize the plus sign as a teaser rate, and watch TV while adding Roti.
  • Solve the statement form by adding Three Teased - Bad K together.
  • Add Libya until the plus sign is removed, then place the entire expression in brackets.
  • Follow the practical instructions provided by the Jagat Team.
  • Solve the algebraic expression by adding OnePlus 5.
  • Add 7 plus five, then add 12am and 8 - 2 to get the answer.
  • Solve the expression by adding 7 plus 12:00 man class ninth 8 - 2.
  • Rearrange the expression to solve for the answer, ensuring accuracy in the process.

02:09:22

Mastering Math: Solving Equations with Precision

  • The text discusses solving mathematical questions, focusing on expressions and equations.
  • It emphasizes the importance of making mistakes to learn and improve.
  • Instructions are given on how to solve specific mathematical problems step by step.
  • The text mentions using specific mathematical formulas and symbols like square roots and exponents.
  • It provides guidance on how to substitute values into equations and expressions.
  • The importance of understanding the relationship between variables and multiplication is highlighted.
  • The text explains the order of operations in solving mathematical equations, following the BODMAS rule.
  • It stresses the significance of paying attention to details and following the correct steps in solving math problems.
  • The text encourages practice and repetition to enhance mathematical problem-solving skills.
  • It concludes by suggesting further practice with exercises from specific textbooks like RD Sharma and NCERT.

02:28:39

Mathematical Operations and Number Relationships Explained

  • Multiplying twice completes the plus sign, resulting in 3 multiples of white with four plus four.
  • The value of 8 plus 7 is 20.
  • If the vaccine is negative, the thirteenth value will be revealed.
  • Folding the questions reveals two parts, with the third part involving PK's relation with apk power.
  • Grinding the wire in the 3rd bracket results in Me minus two.
  • The value of Iron Appeal is minus two plus 7 in the fourth bracket.
  • Multiplying two three times results in 14.28.
  • The value of 8 minus 3 in the bracket, multiplied twice and replaced, will give 8.
  • The class's science for 270 is clear.
  • Multiplying minus plus plus results in 1628.

02:46:20

Solving Equations and Expressions for X

  • To solve a special equation, write eggs equals to 3 com and clear the solution.
  • Write the equation in seconds, involving text plus Forex Plus Forth.
  • Solve the expression for x's value, which is 6.23.
  • Answer question number seven by watching both parts and determining the value of X.
  • For the third and fourth parts, start with plus five, 8 plus 130.
  • Simplify the expression by solving 3 out of 8, resulting in 8006.
  • Calculate the value of x by substituting -2 for BT in the expression.
  • Determine the value of the entire expression by simplifying it.
  • Solve question number 8 by understanding the value of the side as tan.
  • Simplify the expression involving A Square Plus Chief Bracket Close Plus 3 - SEBI Chief Chal to find the value.

03:03:44

"Six Pattern Formula for Displaying Digits"

  • The pattern of six involves following a specific formula for each digit, adding one to the previous number.
  • To display a number with five digits on the six pattern, the expression "six Tan" is used on top of the pattern of digit five.
  • If aiming to show a value with five digits, 501 segments are required, following the formula of 5 * Hayes Plus One.
  • The formula for the first pattern involves 5 inch plus 1257, with the addition of one for each subsequent number.
  • To display a number with ten digits, the formula 52210 plus one is used, resulting in 51st.
  • By using the formula of 5 inches plus two, the value of 5 * 5 plus two equals 7 minutes, solving the rest similarly.
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