Example

Title: Find the variable value in the equation

Grade: 7-a Lesson: S1-L2

Explanation: The best way to understand algebra is by looking at some examples. Take turns and read each example for easy understanding.

Examples:

1. Find the value of 'm' in \$12m + 4 = 48 - m\$.

Step 1a

Given equation is that, \$12m + 4 = 48 + m\$

Explanation: Given equation is that, \$12m + 4 = 48 + m\$.

It is a linear equation with one variable in "m".

Step 1b

Move the like terms to one side.

Explanation: Move the like terms to one side of the equation and perform operations among them.

i.e, move constant terms to one side.

\$12m + 4 = 48 - m\$
⇒ \$12m - m = 48 - 4\$

Step 1c

Now, solve for "m"

Explanation: Divide both sides of the equation with 11.

⇒ \$11m = 44\$

⇒ \$(11m)/11 = 44/11\$

⇒ \$((cancel11^1)m)/cancel11^1 = cancel44^4/cancel11^1\$

⇒ \$(1m)/1 = 4/1\$

⇒ \$m = 4\$


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