Class 06 To solve a linear equation in one variable

 MATHS ACTIVITIES

CLASS 6

Based on CHAPTERs

11. ALGEBRA

12. Ratio and proportion

4.basic geometrical ideas

5.understanding elementary shapes

ACTIVITY - ALGEBRA

Objective : 

To solve a linear equation in one variable.

Materials Required : 

Balance, some marbles of same weight.

Procedure:  

Let us solve 2x +4 =10

Consider that x represents a bag containing some marbles. The other numbers 4 and 10 are also represented by marbles. The above equation can be represented by the following balance. On the left pan, there are two bags each containing the same (but unknown) number of marbles and four loose marbles. On the right hand pan, there are 10 marbles.

2. Now remove 4 marbles from both sides till you reduce to only one type of shape on either side of the balance.

ACTIVITY - ALGEBRA

3. Now compare items on left and right hand pans.

4. Check what is left with you on each pan of the balance.

We have 2 bags = 6 marbles.

Clearly 2 bags have equal number of marbles and both have total 6 marbles,

Therefore, each bag must contain 3 marbles.

Hence, x = 3 is the solution of the equation.

Do Yourself ; 

Solve the following linear equations by activity method :

(i) 3x+3= 12 

(ii) 2x + 5=9