3 Title

Beginning Algebra
Tutorial 11: Simplifying Algebraic Expressions

 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

 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

 Regrouping and combining like terms we get:

 *Combine like terms

 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

Last revised on July 26, 2011 by Kim Seward.