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The Basics of Algebra (Math)

Math

There are some basics in Algebra (Math) that you should know. Especially related with equation, constants, and variables. These are some of them.

a + 4 = 16

a = 16 – 4

a = 12

Why a + 4 = 16 become a = 16 – 4 ?

We subtract left side and right side of the equation with 4:

a + 4 – 4 = 16 – 4

a = 12

The proof:

12 + 4 = 16

 

Let’s see another example:

b – 5 = 12

b = 12 + 5

b = 17

We add both sides of the equation with +5 so the number -5 is gone:

b – 5 + 5 = 12 + 5

b = 17

The proof:

17 – 5 = 12

Conclusion:

when we move positive number to the other side, it will become negative number

When we move negative number to the other side, it will become positive number

a x 5 = 20

a = 20 / 5

a = 4

We divide both sides with 5 to eliminate x 5:

a x 5 / 5 = 20 / 5

a = 4

Another example

b / 3 = 12

b = 12 x 3

b = 36

We multiply both sides with 3 to eliminate / 3:

(b / 3) x 3 = 12 x 3

b = 36

Or if we move the divider to the other side, it will become the multiplier.

If we move the multiplier to the other side, it will become the divider.

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