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Home >> Linear Equations >> Linear Expression >>

Linear Expression

Linear Equations Complex Examples Linear Equation in one Variable Linear Equation in Two Variables Difference between Linear Equation in One & Two Variables Linear Expression

Before you study this concept, you are advice to read:

What is Algebraic Expression ?
What are Polynomials ?
What is Power of Variable ?

Linear expression is an algebraic expression where the power of variable(s) is equals to 1
Or we can say that:
Polynomial having power of variable(s) as 1, is known as Linear Expression

e.g. 2x, 3p + 8, 9s – 2z, 3d + 2c + 10e all are examples of because:
2x has variable x and its power is 1
3p + 8 has variable p and its powers is 1
9s – 2z has variable s & z; both having power 1
3d + 2c + 10e has variable d, c & e; all having power 1

Let’s try following some more examples:

Example 1: Is 2x + 4y2 is a linear expression
Solution: Given linear expression:
2x + 4y2

Variables in given linear expression:
x and y

Powers of respective variables:
Power of variable x = 1
Power of variable y = 2

Since, power of one the variable i.e. y is greater than 1, so the given expression 2x + 4y2 is not a linear expression



Example 2: Is 9ab2 – 12c3 is a linear expression
Solution: Given linear expression:
9ab2 – 12c3

Variables in given linear expression:
a, b and c

Powers of respective variables:
Power of variable a = 1
Power of variable b = 2
Power of variable c = 3

Since, power of one the variables i.e. b & c is greater than 1, so the given expression 9ab2 – 12c3 is not a linear expression

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