1. Today we use the distributive property in equations and expressions with variables. distributive=to give out

2. When you see a number next to another number in parentheses, this means to multiply. For example: 8(8)= 64 What are other ways to arrange problems that lets you know that you have to multiply? 8(8 x y)

3. Term When you have numbers in parentheses, you call these numbers in parentheses, terms. For example: (9 + 6) is a term (6 – y ) in a term

4. Distributive Property states that the product of a number and a sum is equal to the sum of the individual products of the addends and the number An example is: 5(3 + t) = 5 × 3 + 5 × t product=multiplication

5. Distributive Property 5(3 t) = In summary, when you multiply the 5 and the 3 And the 5 and the t you get 5 x 3 + 5 x t 5(3 + t) =5 × 35 × t +

6. Distributive Property 8(k 2) = In summary, when you multiply the 8 and the k And the 8 and the 2 you get 8 x k - 8 x 2 8(k - 2) =8 × k8× 2 -

7. Distributive Property 5(3 + t) = 5 × 3 + 5 × t Notice how the 5 is distributed by first multiplying with the 3 and then the 1.

8. Distributive Property 5(3 + t) = When you multiply the 5 and the 3 you get 5 x 3 5(3 + t) = 5 × 3

9. Distributive Property 5(3 + t) = When you multiply the 5 and the 1 you get 5 x t 5(3 + t) =5 × 3 +5 × t

10. Why else is it important to use the distributive property in equations and expressions with variables It is important to use the distributive property to be able to solve complex problems It will also prepare you for algebra which you have to pass in order to graduate high school

11. We are going to use the distributive property in equations and expressions with variables When they look like this: 6( 5 + y)= You distribute (multiply) the factor (6) with the first number in the term and place them in a parentheses ( 6 x 5) You distribute (multiply) the factor (6) with the second number in the term and place them in a parentheses ( 6 x y) You place both terms together and include the operation sign found inside the original term (6 x 5) + (6 + y)

12. Let’s try one together. 7( 6 + g) You distribute (multiply) the factor (7) with the first number in the term and place it in parentheses You distribute (multiply) the factor (7) with the second number in the term and place them in a parentheses You place both terms together and include the operation sign found inside the original (7 x 6) (7 x g) (7 x 6) + (7 x g)

13. Let’s try two steps at a time. 7( 6 + g) You distribute (multiply) the factor (7) with the first number in the term and place it in parentheses You distribute (multiply) the factor (7) with the second number in the term and place them in a parentheses You place both terms together and include the operation sign found inside the original (7 x 6) (7 x g) (7 x 6) + (7 x g)

14. Let’s do all the steps together!. 7( 6 + g) You distribute (multiply) the factor (7) with the first number in the term and place it in parentheses You distribute (multiply) the factor (7) with the second number in the term and place them in a parentheses You place both terms together and include the operation sign found inside the original (7 x 6) (7 x g) (7 x 6) + (7 x g)

15. Let’s review what we learned: What is distributive? Why is a term? What do you think is the most important reason to know how use the distributive property in equations and expressions with variables? Do one last problem! 6(3 + s)=