RD Sharma Class 9 Solutions Chapter 5 - Factorization of Algebraic Expressions (Ex 5.3) Exercise 5.3 - Free PDF
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An algebraic expression is an expression that consists of one or more variables (such as x,y,z, etc), constants, or both, along with algebraic operations (eg - addition, multiplication, division).
On the basis of the number of variables, an algebraic expression can be divided mainly into three types:
Monomial Expression: This type of expression has only one variable in the whole expression. Eg- 2x + 4 = 9 (only variable is x)
3x - 2 =5 ( only variable is y)
Binomial Expression: This type of expression has two different variables in the same expression. Eg- 5x + 3y = 2 (variables are x and y)
6q + p = 1 (variables are p and q)
Polynomial Expression: Algebraic expressions containing more than two variables or different powers of the same variable are called polynomial expressions.
Eg- x2 + x - 12 = 0 x2+x-12=0
3x + 2y - z =7
Other Types of Expression
Aside from monomial, binomial, and polynomial types of expressions (which were based on the number of variables), an algebraic expression can also be classified into two other types which are:
Numeric Expression - A numeric expression is an expression that consists of numbers and operations, but does not have any variables. Some of the examples of numeric expressions are 19 + 6, 9 ÷ 2, etc.
Variable Expression - A variable expression is an expression that contains the variables along with the numbers and the operations to define an expression. A few examples of a variable expression include 4a-b, 5ab + 33, etc.
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FAQs on RD Sharma Class 9 Solutions Chapter 5 - Factorization of Algebraic Expressions (Ex 5.3) Exercise 5.3
1. What is a variable according to RD Sharma Class 9 Solutions Chapter 5 - Factorization of Algebraic Expressions (Ex 5.3)?
A variable is a symbol (usual letters of the alphabet) in a mathematical equation that does not have a fixed value. Its value changes according to the conditions in the algebraic expression. A variable is a very common and powerful tool that is used to write algebraic expressions.
2. How to form an algebraic expression according to RD Sharma Class 9 Solutions Chapter 5 - Factorization of Algebraic Expressions (Ex 5.3)?
An algebraic equation is a tool that is used to write problems in mathematical form using variables, constants, and mathematical operations. We can form an algebraic expression for a problem or condition using these tools.
For example - the weight of Ram is 2 times that of Sita. The total weight of Ram and Sita is 120kg. Find the weight of Ram and Sita.
Now to convert this condition into an algebraic expression, let us assume the weight of Sita to be x.
So the weight of Ram will be 2x. So according to our condition, our algebraic expression will be :
x + 2x = 120
3. How many algebraic expressions are needed to solve a binomial expression according to RD Sharma Class 9 Solutions Chapter 5 - Factorization of Algebraic Expressions (Ex 5.3)?
Two algebraic expressions are needed to solve a binomial expression as the number of variables present in a binomial expression is two. The number of expressions needed is directly proportional to no of variables in the expression. For example - if in an algebraic expression, four variables are present then four different algebraic expressions will be needed to get the value of all variables.