2. Find the total area of the rectangles using two different expressions 5 ft 10 ft+ 4 ft 5 ft

3. One Way: 5(10) +5(4) 5 ft 10 ft+ 4 ft 5 ft Find the area of each rectangle. 50 ft 2 20 ft 2

4. 5(10) +5(4) 50 +20 = 70 5 ft 14 ft Now put the two rectangles back together. 50 sq ft + 20 sq ft

5. Second way: 5(10+4) 5(14) = 70ft 2 5 ft 10 + 4 ft =14 ft 70 ft 2

6. Review

7. Review

8. Review Or

9. 1) Which of the following expressions shows the distributive property for 5(3 + 7)? C. (5 x 3) + (5 x 7) B. (5 x 3) x (5 x 7) A. (5 + 3) x (5 + 7)

10. Which of the following expressions shows the distributive property for 3(9 + 4) ? A. (3 x 9) + (3 x 4) B. (3 + 9) + (3 + 4) C. (3 + 9) x (3 + 4)

11. Which of the following expressions is equivalent to: 2( 3) + 2( 3) B. 2 (3 + 3) A. 2 + 2 + 3 + 3 C. 3(2 + 3)

12. Which of the following expressions is equivalent to: (4 x 3) + (4 x 8) ? C. 4 (3 + 8) B. 8 (3 + 4) A. 3 (4 + 8)

13. Which of the following expressions is equivalent to: (5 x 9) – (5 x 3) ? C. 9 (3 – 5) B. 5 (9 – 3) A. 3 (9 – 5)

14. 11) Which expression is equivalent to 3(x + 7)? C. 3x + 7 B. x + 21 A. x + 10 D. 3x + 21

15. 12) Which expression is equivalent to 4(x + 5)? C. 4x + 5 B. 4x + 20 A. x + 9 D. 9x

16. 13) Which expression is equivalent to 8(x – 2)? C. 8x – 16 B. 8x – 2 A. 10x D. 8x – 10

17. Which expression is equivalent to 2(x – 3)? C. 2x – 3 B. 2x – 5 A. 2x – 6 D. 2x – 2

18. Now we will use the distributive property first, then combine like terms second.

19. 1. Simplify 6(5 + n) – 2n. Distributive Property. Multiply. 6(5 + n) – 2n 30 + 6n – 2n 6(5) + 6(n) – 2n 30 + 4n Combine coefficients 6 – 2 = 4.

20. 2. Simplify 3(c + 7) – c. Distributive Property. Multiply. 3(c + 7) – c 3c + 21 – c 3(c) + 3(7) – c 2c + 21 Combine coefficients 3 – 1 = 2.

21. 3. 4(3x + 6)  7x 4. 6(x + 5) + 3x Simplify. Distributive Property. Multiply. Combine coefficients 12 - 7 = 5. 4(3x) + 4(6) – 7x 12x + 24 – 7x 5x + 24 Distributive Property. Multiply. Combine coefficients 6 + 3 = 9. 6(x) + 6(5) + 3x 6x + 30 + 3x 9x + 30

22. Make sure to practice because your skills check will be tomorrow!