1. A short “How to” video with practice

2. How can we simplify the following expression? 2(4x + 7) The order of operations says we MUST simplify anything in grouping symbols BEFORE we add and subtract… But 4 x and 7 are NOT like terms, which means we cannot add them… so are we stuck?

3. The Distributive Property gives us a way to get around the order of operations. It says we can do multiplication instead of first simplifying in the grouping symbols. 2(4x + 7) The Distributive Property allows us to rewrite expressions so the grouping symbols go away, but the value of the expression does not change.

4. 2(4x + 7) + 2(7) = 8x + 14 = 2(4x) Multiply each term inside the grouping symbols by the term outside of the grouping symbols, and get rid of the grouping symbols. Drawing the arrows can be helpful to remind you to distribute to EVERY term inside the grouping symbols. 2(4x + 7)

5. Simplify the expression at right using the Distributive Property. When you are done, click to check your answer! 6(5x + 2) + 6(2) = 30x + 12 = 6(5x) Did you remember to draw the arrows and distribute to ALL terms?

6. Careful! In this example the 5 in the grouping symbols is negative (remember a minus sign indicates that the term after it is negative). 9(3x - 5) + 9(-5) = 27x + -45 = 9(3x) Did you remember to draw the arrows and distribute to ALL terms? = 27x - 45 We can tidy up our final answer, and write it as subtraction.

7. 1.) 5(5x + 3) 2.) 4(-6x + 10) 3.) 7(2 + 4x) 4.) 8(2x - 3) 5.) 2(4x - 9) 25x + 15 -24x + 40 14 + 28x 16x - 24 8x - 18

8. Xena is going to a party at a house! When she gets there, she is careful to stop and say hello to every person there! xx Nice bandanna! x Cool hair! When using the Distributive Property, you need to distribute the term outside of the grouping symbol to each term inside. Make sure it says “Hi!” to EVERY term! Party!!!