Question

How do you write a verbal expression for the algebraic expression: $7{{x}^{3}}-1?$

Answer 1

Hint: A verbal expression is a mathematical statement that is expressed that is expressed in words. Or in other words we can say that a verbal expression uses words to decipher the mathematical information. In a problem an equation can often be written from a verbal method. Algebraic expressions don’t contain equal signs. Use subtraction in place of $\left( - \right)$ in the algebraic expression into verbal expression.

Complete step by step solution:
In this we have to write algebraic expression into the verbal expression.
The algebraic expression we have $7{{x}^{3}}-1$
First we will write the verbal expression for $7{{x}^{3}}$. This the multiplication of a constant and a term with an exponent.
So, we can write.
The product of $7$ and $n$ cubed.
Next is subtraction or a ‘difference’
So we can write.
The difference of the product of $7$ and $x$ cubed and $1.$
We can also write this as a sum using a negative number.

The sum of the product of $7$ and $x$ cubed and minus $1.$

Additional Information:
Let's start with how to write verbal expression at some mathematical operation written as words.
We can write addition as sum, plus, increased by and more. In verbal expression. For subtraction we can use difference, less than take away in verbal expression.
For the division we can say that quotient or split up in verbal expression and for multiplication we can say product or times. We will take a division example in verbal expression we have to write.
For ex. $\dfrac{90}{D}-8$
Ninety divided by a number minus eight we can say this in verbal expression.
Always look for the placement of commas in the verbal statement they will help you decide how to properly group terms in your algebraic equation. This is useful for converting the expression into an algebraic equation.

Note: When you are solving any algebraic expression in verbal expression always read sign properly and write or read the correct sign properly. Use the different words according to the different signs.