Respuesta :

JonHenderson55

The answer is:   " x – (x + 8) " .

{Note:  The simplified form is:  " -8 ."}.
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Step-by-step explanation:
We are given:  

→  " A number decreased by the sum of the number and eight."
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Let "x" represent the number referred to as "a number."

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"{A number} decreased by {the sum of the (number and eight).}"  ;

        ↑                 ↑                                       ↑

       "x"              "(minus)"                       " (x + 8) "          ;
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So; we can write this as:
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   →    "   x – (x + 8) "  ;
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Edit—Addendum:

{Now, if are then asked to simply this expression}:
     →    "   x – (x + 8) "  ;
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Then: Rewrite as:
     →    "   x – 1(x + 8) "  ;
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Take note of the distributive property of multiplication:
       →  " a(b + c) = ab + ac " ;

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Likewise:
     →    "   x – 1(x + 8) "  ;

→ Note the:  " -1(x + 8) ";
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 →   -1(x + 8) = (-1*x) + (-1*8) ;

                    = (-1x) + (-8) ;
                    = (-1x – 8) ;
Now, bring down the " ⁺x " :
         →  " x – 1x – 8 " ;  
  Rewrite as:
         →  " 1x – 1x – 8 " ;
      Simplify:
     →  " 1x – 1x – 8 " ;

                      = " (1x – 1x) – 8 " ;

                       = " (0 – 8) " ;

                       =  " -8 " ; which is the simplified form of the
                                          given algebraic expression.
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Hope this explanation is helpful to you!
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Hi!

I can help you with joy! :)

First of all, "the sum of" means we add.

Let the number be r.

So, we add r and 8:

r+8

Now, "decreased" means we subtract, so we subtract

r-(r+8) (Final Answer)

Simplified Form:

r-(r+8)

r-r+8

[tex]\fbox{8}\checkmark[/tex]

Hope it helps!

Enjoy your day!

Feel free to ask if you have any doubts.

~Misty~

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