ANSWERS AND EXPLANATIONS TO QUIZ

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 What is the additive inverse of (-19)?

 

The additive inverse is the opposite of the number.  When added to (-19), the sum is 0.  Therefore the answer is 19.
 What is the additive inverse of  21?

 

The additive inverse is the opposite of the number.  When added to (21), the sum is 0.  Therefore the answer is -21.
 Solve for x:    x + 13 = 21 

 

                   x + 13 = 21 
        x + 13 + (-13) = 21 + (-13)
                          x = 8
 Solve for x:    x + (-10) =  10

 

                            x + (-10) =  10
                x + (-10) + 10 = 10 + 10
                                x = 20
 Solve for x:  23 + x = 50

 

                              23 + x = 50
       23 + (-23) + x = 50 + (-23)
                     x = 27  
 Solve for x:   x - 18 = -50                     
 

 

                       x - 18 = -50 
             x -18 + 18 = -50 + 18
                           x = -32

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