Question

Which of the following algebraic expressions describes the verbal expression below?

Six less than the square of the sum of 5 and a number.

A. (5+x)^2 -6

B. 5+x^2 -6

C. 5^2 +x-6

D. 6- {5+x^2}

Answer 1

In this question, we have to find the algebraic expression of Six less than the square of the sum of 5 and a number.

And here the number is x.

Sum of 5 and a number x is represented as

$x+5$

And the square of sum of 5 and the number x is

$(x+5)^2$

And finally it is six less than the expression we got above, that is

$(x+5)^2-6$

Therefore out of the four options, correct option is A .

Answer 2

For this case, the first thing we must do is define a variable.

We have then:

x: unknown number

We now write the expression that models the problem:

Six less than the square of the sum of 5 and a number.

The expression in algebraic form is given by:

 $(5 + x) ^ 2 -6$

Answer:

The following is an algebraic expression that describes the verbal expression:

$(5 + x) ^ 2 -6$

option A