Algebraic Expressions
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In this section, we shall define an Algebraic Expressions.We shall also define various types of expressions.A combination of constants and variables connected by the arithmetic signs such as addition (+), subtraction(-), multiplication(x) and division(÷) is called Expressions in algebra.
( Note : Addition (+) and Subtraction(-) separates the term.
Example :
1) 2x 3 +3x 2 -5x +6
This is an expression.
Here we have 4 terms : 2x 3 , 3x 2 , -5x and 6.
2) 3x + 2y - 4z
This is an expression.
Here we have 3 terms : 3x, 2y and -4z.
If the expression contains negative exponents then it is not an expression in algebra.
On the basis of number of terms, there are different types of expressions.
Monomial : An expression containing one term is called Monomial.
For example : 2xy, 5x , -2x, 3x 2 , 10 are all monomials.
Binomial : An expression consisting of 2 terms is a Binomial.
For example : x-y, 2a +b, 2x2 -8.
Trinomial : An expression consisting of 3 terms is called Trinomial.
For example : 3x + 4y -z, 5xy + 4yz + 4 ,a + b –c.
Polynomial : An expression consisting of more than 3 terms is called Polynomial.
For example : 5x +6y -2z +4 , a +2b – c +3d.
Write an expressions for the following :
1) Two more than a.
a + 2
2) The sum of x and 2y.
x + 2y
3) Product of 4 and a.
4a
4) Divide y by 3.
y/3
5) Multiply 2 and a and add 5 to the result.
2a + 5
Identify the monomials,binomials, trinomials and polynomials.
(i)4x 2
This is a monomial expression as it contains one term only.
(ii) x 2 -1
This is a binomial expression as it contains two terms.
(iii) x 2 - y 2
This is a binomial expression as it consists of two terms.
(iv) 3x 2 + 4y 2 + 5z
This is a trinomial as it contains three terms.
Algebraic Expressions
• Like and Unlike terms in Algebra
• Addition of algebraic-expressions
• Subtraction of algebraic-expressions
• Multiplication of algebraic-expressions
• Division of algebraic-expressions
8th grade math
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