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Q71.

Expert-verified

Algebra 2

Found in: Page 115

Book edition Middle English Edition

Author(s) Carter

Pages 804 pages

ISBN 9780079039903

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Short Answer

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 by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

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 $\div$ 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 $4 x + 1$ , 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 $\times$ .

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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