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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 > Introduction

Introduction

Click on instructions button for directions on how to use the component and solve the given problems.

In the earlier classes, you have come across several algebraic expressions and equations. Some examples of expressions we have so far worked with are:

5x, 2x−3, 3x+y, 2xy+5, xyz+x+y+z, x2+1, y+y2

Some examples of equations are: 5x=25, 2x−3=9,2y+52 = 372 , 6z+10 = −2

You would remember that equations use the equality (=) sign; it is missing in expressions.

Of these given expressions, many have more than one variable. For example, 2xy + 5 has variables.

We however, restrict to expressions with only one variable when we form equations. Moreover, the expressions we use to form equations are linear. This means that the highest power of the variable appearing in the expression is .

These are linear expressions:

2x, 2x + 1, 3y – 7, 12 – 5z, 54 (x-4) + 10

These are not linear expressions:

x2 + 1 , y+y2, 1 + z + z2 + z3 (since highest power of variable > 1)

Here we will deal with equations with linear expressions in one variable only. Such equations are known as linear equations in variable. The simple equations which you studied in the earlier classes were all of this type.