1. Using the Distributive Property to Simplify Linear Expressions
September 12, 2018

2. Vocabulary
1.) The Distributive Property is used to multiply a single term and two or more terms inside a set of parentheses. (example: 3(r + 5) = 3r + 15 Read as “3 groups of r + 5”

3. Simplifying Expressions
Tile Bin
What would the model of this expression look like?
Invite a volunteer to come up and draw what they have modeled. Ask if anyone has a different model to share (and compare).
It is likely that most participants will make two sets of tiles that each contain 2 greens and 3 yellows. It is possible that someone may think about the area model. This should lead nicely into the next slide.
This expression is the first one we have seen with parentheses. One would use the Distributive Property to simplify the expression.
Simplified expression
4x + 6 3

4. Simplifying Expressions
Tile Bin
What would the model of this expression look like?
Invite a volunteer to come up and draw what they have modeled. Ask if anyone has a different model to share (and compare).
It is likely that most participants will make two sets of tiles that each contain 2 greens and 3 yellows. It is possible that someone may think about the area model. This should lead nicely into the next slide.
This expression is the first one we have seen with parentheses. One would use the Distributive Property to simplify the expression.
Simplified expression
-4x – 8 4

5. Simplifying Expressions
Tile Bin
What would the model of this expression look like?
Invite a volunteer to come up and draw what they have modeled. Ask if anyone has a different model to share (and compare).
It is likely that most participants will make two sets of tiles that each contain 2 greens and 3 yellows. It is possible that someone may think about the area model. This should lead nicely into the next slide.
This expression is the first one we have seen with parentheses. One would use the Distributive Property to simplify the expression.
Simplified expression
-2x + 8 5

6. Model and simplify the following expression using Algebra Tiles.
Practice: 4.) -2(3x – 4) 5.) 3(x + 5) 6.) 4(-x + 3) 7.) -5(x – 1)