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Beginning Algebra
Answer/Discussion to Practice Problems
Tutorial 6: Subtracting Real Numbers



 

checkAnswer/Discussion to 1a

-10 - (-2)


 
-10 - (-2) = -10 + 2 = -8. 

Subtracting -2 is the same as adding 2. Once it is written as addition, we just following the rules for addition to complete.


 

 


 

checkAnswer/Discussion to 1b

- 4.1 - 5.3


 
- 4.1 - 5.3 = - 4.1 + (-5.3) = -9.4.

Subtracting 5.3 is the same as adding -5.3. Once it is written as addition, We just following the rules for addition to complete.


 

 


 

checkAnswer/Discussion to 2a

problem 2a


 
Since we have several operations going on in this problem, we will have to use the order of operations to make sure that we get the correct answer. 

If you need to review the order of operations go to Tutorial 4: Operations of Real Numbers.


 
ad2a

*Exponent
*Multiplication
*27 + (-2) = 25

 


 

checkAnswer/Discussion to 2b

problem 2b


 
Since we have several operations going on in this problem, we will have to use the order of operations to make sure that we get the correct answer. 

If you need to review the order of operations go to Tutorial 4: Operations of Real Numbers.


 
ad2b

*Eval. inside of absolute value

*Exponent
*Multiplication

*16 - 4 = 12

 


 


 

checkAnswer/Discussion to 3a

problem 3a


 
 

Plugging 2 for x and -2 for y and simplifying we get:


 
ad3a
*Plug in 2 for x and -2 for y
 

 


 


 

checkAnswer/Discussion to 4a

problem 4a


 
 

Replacing x with -2 we get:


 
ad4a
*Plug in -2 for x
 

 


 
Is -2 a solution? 

Since we got a TRUE statement (7 does in fact equal 7), then -2 is a solution to this equation.


 

 

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Last revised on July 24, 2011 by Kim Seward.
All contents copyright (C) 2001 - 2011, WTAMU and Kim Seward. All rights reserved.