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Algebraic Expressions & Identities Class 8 PPT

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 Page 1


IMPORTANT WORDS OR TERMS
? Expression
? Terms
? Monomial
? Binomial
? Trinomial
? Polynomial
? Liketerms
? Unliketerms
? Co-efficient
? Factors
? Identity
Page 2


IMPORTANT WORDS OR TERMS
? Expression
? Terms
? Monomial
? Binomial
? Trinomial
? Polynomial
? Liketerms
? Unliketerms
? Co-efficient
? Factors
? Identity
EXPRESSIONS
? Expressionsareformed byusingvariablesandconstants.
? Forexample,
?x+3
?2y –5
?3x²
?4xy+7
? If we take the example of 2y – 5 , it is made up of y as
thevariableand2,(-5)astheconstants.
Page 3


IMPORTANT WORDS OR TERMS
? Expression
? Terms
? Monomial
? Binomial
? Trinomial
? Polynomial
? Liketerms
? Unliketerms
? Co-efficient
? Factors
? Identity
EXPRESSIONS
? Expressionsareformed byusingvariablesandconstants.
? Forexample,
?x+3
?2y –5
?3x²
?4xy+7
? If we take the example of 2y – 5 , it is made up of y as
thevariableand2,(-5)astheconstants.
TERMS
? Termsareaddedtoformexpressions.
? Forexample,
? 5ab+90 :{(5ab)+(90)}
? 14gh –13 :{(14gh)+(-13)}i.e.{(14gh) –(13)}
? 56m³ + 65 – yz :{(56m³) + (65) + (-yz)} i.e. {(56m³) + (65)
-(yz)}
? Terms are commonly made up of co – efficients, variables or
constants.
Page 4


IMPORTANT WORDS OR TERMS
? Expression
? Terms
? Monomial
? Binomial
? Trinomial
? Polynomial
? Liketerms
? Unliketerms
? Co-efficient
? Factors
? Identity
EXPRESSIONS
? Expressionsareformed byusingvariablesandconstants.
? Forexample,
?x+3
?2y –5
?3x²
?4xy+7
? If we take the example of 2y – 5 , it is made up of y as
thevariableand2,(-5)astheconstants.
TERMS
? Termsareaddedtoformexpressions.
? Forexample,
? 5ab+90 :{(5ab)+(90)}
? 14gh –13 :{(14gh)+(-13)}i.e.{(14gh) –(13)}
? 56m³ + 65 – yz :{(56m³) + (65) + (-yz)} i.e. {(56m³) + (65)
-(yz)}
? Terms are commonly made up of co – efficients, variables or
constants.
MONOMIAL
? An expression comprising of only one (1) term is known
asaMONOMIAL.
? Forexample,
? 5x
? 2y²
? 6mn
? 90a
? -9q
? 10cd
? -11
? xyz
Page 5


IMPORTANT WORDS OR TERMS
? Expression
? Terms
? Monomial
? Binomial
? Trinomial
? Polynomial
? Liketerms
? Unliketerms
? Co-efficient
? Factors
? Identity
EXPRESSIONS
? Expressionsareformed byusingvariablesandconstants.
? Forexample,
?x+3
?2y –5
?3x²
?4xy+7
? If we take the example of 2y – 5 , it is made up of y as
thevariableand2,(-5)astheconstants.
TERMS
? Termsareaddedtoformexpressions.
? Forexample,
? 5ab+90 :{(5ab)+(90)}
? 14gh –13 :{(14gh)+(-13)}i.e.{(14gh) –(13)}
? 56m³ + 65 – yz :{(56m³) + (65) + (-yz)} i.e. {(56m³) + (65)
-(yz)}
? Terms are commonly made up of co – efficients, variables or
constants.
MONOMIAL
? An expression comprising of only one (1) term is known
asaMONOMIAL.
? Forexample,
? 5x
? 2y²
? 6mn
? 90a
? -9q
? 10cd
? -11
? xyz
BINOMIAL
? An expression having two (2) terms is known to be a
BINOMIAL.
? Forexample,
? a+b
? 4l+5m
? a+4
? 5 –3xy
? z²-4y
? 7x²-4xy
? 6y+6
? 5k²-4np²
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FAQs on Algebraic Expressions & Identities Class 8 PPT

1. What are algebraic expressions?
Ans. Algebraic expressions are mathematical expressions that contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. These expressions are used to represent relationships between quantities and can be solved or simplified using algebraic techniques.
2. What are algebraic identities?
Ans. Algebraic identities are mathematical statements that are always true for any value of the variables involved. They are helpful in solving equations and simplifying expressions. Examples of algebraic identities include the distributive property, the commutative property, and the associative property.
3. How do you simplify algebraic expressions?
Ans. To simplify algebraic expressions, you combine like terms and perform the necessary operations. This involves combining variables with the same exponent or power and adding or subtracting their coefficients. It is important to follow the order of operations, which includes simplifying within parentheses, evaluating exponents, and performing multiplication and division before addition and subtraction.
4. What is the difference between an equation and an expression?
Ans. An equation is a mathematical statement that shows that two expressions are equal. It contains an equal sign and can be solved to find the value of the variable. On the other hand, an expression is a combination of variables, constants, and mathematical operations, but it does not have an equal sign. Expressions can be simplified, evaluated, or used to represent a quantity, while equations are used to find the values of the variables.
5. How are algebraic expressions and identities useful in real-life situations?
Ans. Algebraic expressions and identities are used in various real-life situations such as calculating distances, areas, volumes, and solving problems involving rates and proportions. They help in representing and solving problems related to finance, physics, engineering, and many other fields. By using algebraic techniques, real-life problems can be translated into mathematical equations and expressions, making them easier to solve.
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