Linear Expression

Linear Equation in one Variable	Linear Equation in Two Variables	Difference between Linear Equation in One & Two Variables	Linear Expression	Linear Equations Complex Examples
Solving a Pair of Linear Equations

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