### Theory:

Objective:

To learn about the verbal statement and algebraic statements.

Verbal statement and Algebraic statements:

Do you know the difference between the verbal statement and algebraic statements?

Let's see an example to understand this clearly.
Example:
Kathir is twice taller than Krishna. That is Kathir height is two times larger than Krishna's height. Now, this is known as a verbal statement.

If you write the above verbal statement in an algebraic statement we get,

Let the height of the Krishna is $$x$$.

Therefore Kathir height $$=$$ $2×\mathit{Height}\phantom{\rule{0.147em}{0ex}}\mathit{of}\phantom{\rule{0.147em}{0ex}}\mathit{Krishna}\phantom{\rule{0.147em}{0ex}}=2×x=2x$.

In the above example, we understood that normally we use the verbal statement to mention any mathematical operation, then we translate this verbal statement to an algebraic statement to find the unknown value.
Now let's see a few examples of how we are using the verbal and algebraic statement in the mathematical operation.

[Note: In a verbal statement the unknown value $$x$$ is represented as some number or a number].

Addition keywords: Sum, total, added, increased, more than, etc.

 Operation Phrase Example -Verbal statement Algebraic statements Addition $$(+)$$ The sum of The sum of a number and seven $x\phantom{\rule{0.147em}{0ex}}+7$ Plus A number plus seven $x\phantom{\rule{0.147em}{0ex}}+7$ Increased by seven increased by some number. $7+x$

Subtraction  keywords: Minus, Decreased by, less than, the difference of, subtracted, etc.

 Operation Phrase Phrase example - Verbal statement Algebraic statements Subtraction $$(-)$$ Subtracted from Four subtracted from a number. $x-4$ Decreased by Four decreased by some number. $x-4$ The difference of The difference between Four and some number. $4\phantom{\rule{0.147em}{0ex}}-x$

Multiplication keywords: Multiplied by, The product of, Times, Thrice, Twice etc.

 Operation Phrase Phrase example - Verbal statement Algebraic statements Multiplication Multiplied by Some number multiplied by twenty. $20x$ The product of The product of negative twenty. $-20x$ Times Twenty times a number. $20x$

Division keywords:Divided by, The ratio of, The quotient of, etc.

 Operation Phrase Phrase example - Verbal statement Algebraic statements Division Divided by Six divided by some number. $\frac{x}{12}$ The ratio of The ratio of Six to a number. $\frac{6}{x}$

Using these above, we can also make another operation that is,

Equals keywords: Equals, Is the same as, yields.

 Operation Phrase Phrase example - Verbal statement Algebraic statements Equals Equals Four equals to less than seven number. $4=7-x$ Four is the same as thrice the number. $4=3x$