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Questions and Answers
An algebraic expression is made up of constants, variables, and operations such as addition, subtraction, multiplication, division, and ______.
An algebraic expression is made up of constants, variables, and operations such as addition, subtraction, multiplication, division, and ______.
exponentiation
An example of an algebraic expression would be 3x^2 + 4x - ______.
An example of an algebraic expression would be 3x^2 + 4x - ______.
2
The commutative property states that the order of operands does not change the result in operations involving addition and ______.
The commutative property states that the order of operands does not change the result in operations involving addition and ______.
multiplication
Simplification involves reducing an expression to its lowest terms.For instance, 3x^2 + 6x^2 = ______.
Simplification involves reducing an expression to its lowest terms.For instance, 3x^2 + 6x^2 = ______.
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Monomials consist of a constant coefficient and a single variable raised to an integer ______.
Monomials consist of a constant coefficient and a single variable raised to an integer ______.
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Polynomials comprise any summation of ______.
Polynomials comprise any summation of ______.
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Study Notes
Mastering Algebraic Expressions in Maharashtra SSC Board Maths 1
As part of the Maharashtra SSC Board Maths 1 curriculum, algebra plays a crucial role, particularly when dealing with algebraic expressions. From linear terms to polynomials, let's explore how these concepts apply to the SSC Board's mathematics examinations.
Definition and Examples of Algebraic Expressions
An algebraic expression is made up of constants, variables, and operations such as addition, subtraction, multiplication, division, and exponentiation. An example of an algebraic expression would be (3x^2 + 4x - 2).
Properties of Algebraic Expressions
- Commutative property: The order of operands does not change the result in operations involving addition and multiplication ((a+b=b+a) and (ab=ba)).
- Associative property: Grouping parentheses does not affect the outcome in both addition and multiplication (((a+b)+c=a+(b+c)) and ((ab)c=a(bc))).
Operations with Algebraic Expressions
- Simplification involves reducing an expression to its lowest terms. For instance, (3x^2+6x^2=9x^2).
- Combining like terms refers to adding or subtracting coefficients of similar monomial components ((3x+2x=5x)).
Types of Algebraic Expressions
- Monomials consist of a constant coefficient and a single variable raised to an integer power.
- Polynomials comprise any summation of monomials.
- Rational expressions involve fractions where the numerator contains a polynomial and the denominator may contain a nonzero polynomial.
These foundational ideas and properties of algebraic expressions equip you to comprehend and solve problems related to variables and numerical relationships during your preparations for the Maharashtra SSC Board Maths 1 exam. Remember to practice numerous examples and previous years' question papers to strengthen your understanding of these core principles and succeed in achieving your goals.
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Description
Dive deep into understanding algebraic expressions as part of the Maharashtra SSC Board Maths 1 curriculum. From definition and examples to properties and operations, master the key concepts to excel in your examinations.
