 # Beginning Algebra Tutorial 11

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 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 Answer/Discussion to 2b 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