(Back to the tutorial on the addition property of equality)

Beginning Algebra
Answer/Discussion to Practice Problems
on Addition Property of Equality


 

Answer/Discussion to 1a


 
*Inverse of sub. 1/5 is add. 1/5 

 
If you put 4/5 back in for x in the original problem you will see that 4/5 is the solution to our problem.

 
(return to problem 1a)

 


 

Answer/Discussion to 1b


 
*Inverse of add 7 is sub. 7 

 
If you put -9 back in for b in the original problem you will see that -9 is the solution to our problem.

 
(return to problem 1b)

 


 

Answer/Discussion to 1c


 
*Inverse of sub. .5x is add .5x

*Inverse of sub. 7.1 is add 7.1

 


 
If you put 5.9 back in for x in the original problem you will see that 5.9 is the solution to our problem.

 
(return to problem 1c)

 


 

Answer/Discussion to 1d

Using the distributive property and then combining like terms to simplify the left side of the equation we get:


 

*Use distributive prop.
*Combine like terms

 
Solving for x we get:

 

*Inverse of add x is sub. x
 

*Inverse of add 13 is sub. 13
 


 
If you put -15 back in for x in the original problem you will see that -15 is the solution to our problem.

 
(return to problem 1d)

 


 

Answer/Discussion to 2a

Two numbers have a sum of 200.  If one number is x, express the other number in terms of x.


 
Since our total is 200 and we are letting x represent one number, the other number would be expressed as the total minus x or 200 - x.

So, 200 - x is our answer.


 
(return to problem 2a)

 


(Back to the tutorial on the addition property of equality)


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Last revised on Jan. 9, 2002 by Kim Seward.