**Introduction:**

Abbreviations in algebra are used to represent the shortcut terms in mathematics.Algebra is one of the most important branches in mathematics. An algebraic expression is a collection of algebra termssuch as variables; constants. Algebra performs operations such as polynomial equations, addition, multiplication, subtraction, functions, solving factorization and linear equations. Unknown numbers are represented by using letters (alphabets).

## Basic abbreviations in algebra:

## Examples for abbreviations in algebra:

**Example1:**

What number plus 5ml makes 17ml?

**Solution:**

x** + **5 **= **17

** = **17** - **5

x = 12ml

**Example 2:**

To add two algebraic expression (x^{2 }+ 3x +7) & (3x^{3} + 5x + 17)

**Solution:**

(x^{2 }+ 3x +7) + (3x^{3} + 5x^{2} +17x + 23)

= 3x^{3 +} (x^{2}+5x^{2}) + (3x+17x) + (7+23)

= 3x^{3} + 6x^{2} + 20x+30

The Answer is 3x^{3} + 6x^{2} + 20x+30

**Example3: **

How many liters in 12kiloliters?

**Solution:**

Given 12 kiloliters

1 kiloliter="1000liters

=12*1000

=12000liter

**Example4:**

Ina jug contains 40l of milk, in these 4l of water to be replaced insteadof 4l of milk in a jug. If the process repeatedly occur in two times then how much milk in jug?

**Solution:**

x = 40 lit, y="4lit," n="3

= x (1-(y/x))^{ n}

= 40(1-(4/40)) ^{3}

= 40(36/40) ^{3}

= 40*(36/40)*(36/40)*(36/40)

**= **29.16 liter

40l mixture has 29.16 liter milk

**Example5:**

In a bucket contains 20 lit of honey**,** among these 5 lit of milk to be replaced instead of 5 lit of honey in ajug. If the process repeatedly occurs in four times then how much literhoney in jug?

**Solution:**

x = 20 lit, y="5lit," n="5

= x (1-(y/x))^{ n}

= 20(1-(5/20)) ^{5}

= 20(15/20) ^{5}

= 20*(15/20)*(15/20)*(15/20)*(15/20)*(15/20)

**= **4.764 liter

20l mixture has 4.764 liter honey

## Practice problems for abbreviations in algebra:

1)In a jug contains 10l of milk, in these 4l of water to be replaced instead of 4l of milk in a jug. If the process repeatedly occurs in one time then how much milk in jug?

**Answer:** 3.6 lit

2) How many liters in 2.25kiloliters?

**Answer:** 2250 lit