The Distributive Property and Combine Like Terms

Tutoring on The Distributive Property and Combine Like Terms

Learning Objectives:

Understand to Apply the Distributive Property to evaluate Algebric Expressions

Math Tutoring on The Distributive Property and Combine Like Terms

The Distributive Property states when we multiply a factor and a sum or difference, we multiply each term of the sum or difference by the factor.

 1)  a(b+c) = ab+ac            2)  a(b-c) = ab-ac

When two terms have variable factors, or variable parts, that are exactly the same, the terms are called like terms.

To combine like terms, we add or subtract the coefficients. The variable factors remain the same.

The Distributive Law enables us to combine like terms.         
To
simplify algebraic expressions, we will follow the steps outlined here:
1. Simplify within the parentheses if possible.
2. Use the Distributive Property to eliminate the parentheses.
3. Combine the like terms.

To evaluate an algebraic expression, sometimes called a variable expression following steps are to follows:
1. Substitute or replace the given value or values of the variable or variables into the expression.
2. Evaluate using the order of operations.

 

 

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Hook Questions:

1.    What are some of the common errors in applying the Distributive Properties?

2.    How does the Distributive Law enable us to combine like terms?

3.    Can Distributive property be applied to unlike terms?

 

 

 

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