Reducing Equations To Simpler Form
Chapter Name : Linear Equations In One Variable |
Sub Topic Code : 104_08_02_06_01 |
Topic Name : Reducing Equations To Simpler Form |
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Sub Topic Name : Reducing Equations To Simpler Form |
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Introduction
We encounter many circumstances where we will have many equations interlinked. Various methods used to reduce such equations into simple forms and hence, obtain the solution.
Pre-Requisites:
Basic knowledge about arithmetic operations and linear equations
Activity:
The distance is equal. One destination can be defined by a linear expression and the other by another expression. By equating these two expressions, we get the unit distance.
Real Life Question:
How many travelled by a bus from the first stop to the last stop?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Linear Equation | The power of the variable should be 1 |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Map | On a map, set destinations and a unit distance. For destinations at equal distances make different routes and equate them. |
Real life uses :
Conversion of units from one scale to other, exchange rates, telephone tarrif
Practical examples around us
| Examples | Explainations |
|---|---|
| Money Exchangers | USD= 55.4*INR |
| Cell phone tarrif | The seconds plan in the prepaid sim can be calculated as rate = 1.2*time in seconds. Here rate is the variable, we know how much time we spoke. |
What you learn in Theory:
It is known that by transposing the equation variables are brought to one side and the numbers to the other side. To reduce into these forms, we use different methods like multiplying LCM on both sides etc.
What you learn in Practice:
The methods are very useful in many real life applications, advanced mathematics and applied science.