Question

Write an algebraic expression to represent each verbal expression.

71. six less than the square of a number

Short answer

The algebraic expression is $x^2-6$.

Step-by-step solution

Step-1 – Apply the concept of Verbal and Algebraic expression and Variable

The algebraic expression is obtained from verbal expression using mathematical operators like addition $+$, subtraction $-$, multiplication $\times$, division $÷$ and many such more and variable.

In any expression or equation, the variable is an unknown quantity. It may be any alphabet or any special symbol.

Step-2 – Example for the variable

In the expression $4x+1$, the unknown quantity is x. So, the variable in this expression is x. 4 and 1 are constants values.

Step-3 – Construct the Algebraic expression

Consider the provided verbal expression.

Six less than square of a number.

Let the number be x.

The mathematical operators corresponding to less issubtraction$-$ and to square is multiplication $\times$.

Square of a number is translated as the number is multiplied itself twice

Express the verbal expression square of a number as $x^2$.

Now, six is less than $x^2$. The algebraic expression obtained is $x^2-6$.

Hence, the algebraic expression is $x^2-6$