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Q71.

Expert-verifiedFound in: Page 115

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 ${x}^{2}-6$.

The algebraic expression is obtained from verbal expression using mathematical operators like addition $+$, subtraction $-$, multiplication $\times $, division $\xf7$ 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.

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

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 $\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 ${x}^{2}-6$

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