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Chapter 2: Linear Equations in One Variable

    Introduction

    Linear Equations

    Solving Simple Equations Having the Variable on one side

    Solving Equation that Has Variables on Both the Sides

    Reducing Equations to Simpler Form - Equations Reducible to Linear Form

    Exercise 2.1

    Exercise 2.2

    Exercise 2.3

    Exercise 2.4

    Exercise 2.5

    What We Have Discussed?

    Easy Level Worksheet Questions

    Interactive Linear Equations in One Variable Worksheet

    Hard Level Worksheet Questions

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Chapter 2: Linear Equations in One Variable > Linear Equations

Linear Equations

Let us briefly revise what we know:

(a) An algebraic equation is an equality involving variables. It has an equality sign. The expression on the left of the equality sign is the Left Hand Side (LHS). The expression on the right of the equality sign is the Right Hand Side (RHS).

(b) In an equation the values of the expressions on the LHS and RHS are .

This happens to be true only for certain values of the variable. These values are the of the equation.

Instructions

Taking: 2x – 3 = 7, we have that x = 5 is the solution of the equation.
But what does it mean ?
For x = 5: LHS = 2 × 5 – 3 = which is to RHS that is 7.
For x = 10 : LHS = 2 × 10 – 3 = . This is to the RHS that is 7.
Thus, x = 5 is a solution while x = 10 is not a solution of the equation.

(c) How to find the solution of an equation?

We assume that the two sides of the equation are .

We perform the same mathematical operations on both sides of the equation, so that the balance is not disturbed. A few such steps give the solution.