1. USING DISTRIBUTIVE PROPERTY HIPPITY H0PPITY DISTRIBUTIVE PROPERTY Created by Pat Prewitt, Central HS, Beaumont, TX

2. This is the Easter Bunny He brings eggs to good boys and girls. Created by Pat Prewitt, Central HS, Beaumont, TX

3. This is the Distributive bunny He brings numbers to ( ) ( x + 3 ) = 8 (2) 2 2 5 8 3 -2 Created by Pat Prewitt, Central HS, Beaumont, TX

4. So now we have (2) x + (2)3 = 8 2x + 6 = 8 And we loose the other ( ) Multiply out Created by Pat Prewitt, Central HS, Beaumont, TX

5. Try another with distributive bunny ( 2x + 6 ) = 7 3 (3) Created by Pat Prewitt, Central HS, Beaumont, TX

6. And this gives us 3(2x) + 3(6) = 7 6x + 19 = 7 Remember—loose the other ( ) Created by Pat Prewitt, Central HS, Beaumont, TX

7. Try these on your own 1. 3 ( x + 4 ) = 21 2. 2 ( x – 3 ) = 8 3. -2 ( c + 1 ) = -4 4. 2 ( 8 + t ) = 22 Created by Pat Prewitt, Central HS, Beaumont, TX

8. Answers 1. 3x +12 = 21 x = 3 2. 2x – 6 = 8 x = 7 3.-2c + -2 = -4 c = 1 4.16 + 2t = 22 t = 3 Created by Pat Prewitt, Central HS, Beaumont, TX

9. ( 3 + 5x ) + 5 = 18 5 (5) Remember: The bunny only give numbers to the ( ) Not in the ( ) no numbers for you. Created by Pat Prewitt, Central HS, Beaumont, TX

10. So now we have (5)3 + (5)5x + 5 = 18 15 + 25x + 5 = 18 Created by Pat Prewitt, Central HS, Beaumont, TX

11. Try these on your own 1. 3 ( 2x – 1) + 6 = -15 2. 5 ( x – 12 ) + 10 = 100 3. 3x + 2 (5 – x ) = 12 Created by Pat Prewitt, Central HS, Beaumont, TX

12. Answers 1.6x – 3 + 6 = -15 x = -3 2.5x – 60 + 10 = 100 x = 30 3.3x + 10 – 2x = 12 x = 2 Created by Pat Prewitt, Central HS, Beaumont, TX

13. Let’s try a hard problem 3 ( x + 7) = 18 – 2 2 5 8 3 -2 (-2) Created by Pat Prewitt, Central HS, Beaumont, TX

14. So now we have 3 (-2) x + (-2) 7 = 18 3 – 2x + -14 = 18 Created by Pat Prewitt, Central HS, Beaumont, TX

15. Let’s try a harder problem 2 ( x + 7) = 10 – 2 5 8 3 -2 (-) Created by Pat Prewitt, Central HS, Beaumont, TX

16. So now we have 2 (-) x + (-) 7 = 10 2 –x + -7 = 10 2 – 7 – x = 10 - 5 – x = 10 Created by Pat Prewitt, Central HS, Beaumont, TX

17. Try these 1. 2 – 3 ( x + 4) = 17 2. 6 – 5 (m – 1 ) = 111 3. n – (3n + 4) = -6 Created by Pat Prewitt, Central HS, Beaumont, TX

18. Answers 1. 2 – 3 x – 12 = 17 x = -9 2. 6 – 5m + 5 = 111 m= -20 3. n –3n – 4) = -6 n = 1 2 5 8 3 -2-2 Created by Pat Prewitt, Central HS, Beaumont, TX