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Q71.

Expert-verified
Found in: Page 115

### Algebra 2

Book edition Middle English Edition
Author(s) Carter
Pages 804 pages
ISBN 9780079039903

# Write an algebraic expression to represent each verbal expression. 71. six less than the square of a number

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

See the 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 $×$, 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 is subtraction$-$ and to square is multiplication $×$.

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 ${x}^{2}-6$