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Answer/Discussion to 1a Are there any like terms that we can combine?  It looks like it.  All three terms have the same variable part, c.

 

*Combine the coefficients of the like terms

 

(return to problem 1a)

 

 

Answer/Discussion to 2a

 

Let's first apply the distributive property (found in Tutorial 8: Properties of Real Numbers), then regroup and combine like terms:

 

*Dist. 2 to EVERY term of the ( )     *Combine like terms

 

(return to problem 2a)

 

 

Answer/Discussion to 2b

 

Regrouping and combining like terms we get:

 

*Combine like terms

 

(return to problem 2b)

 

 

Answer/Discussion to 3a The sum of 9 times a number and 5, subtracted from 4 times a number.

 

x is representing the unknown number.  The sum of 9 times a number and 5 can be written as 9x + 5.  From there we need to subtract that from 4x. Writing this as an algebraic expression we get:

 
 

Using the distributive property (found in Tutorial 8: Properties of Real Numbers) and then combining like terms we get:

 

*Dist. the - to EVERY term of the ( ) *Combine like terms

 

(return to problem 3a)

 

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Last revised on July 26, 2011 by Kim Seward.
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