# Beginning Algebra Tutorial 11

Beginning Algebra
Tutorial 11: Simplifying Algebraic Expressions

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

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.