8-5 Practice Using the Distributive Property Factor each polynomial. 1. 64 40ab 2. 4 + 16 3. 6t 3r – – 4. 15ad + 30 5. 32 + 24 6. 36x 48y – 7. 30y + 35 8. 9 6a 9. 75 + 60b – 10. 8 24p + 16pr 11. 5 + 10y + 25x 12. 9a + 18b + 24cx – 13. + 4x + 2x + 8 14. 2 + 3a + 6a + 9 15. 4 12b + 2b 6 – – 6xy 8x + 15y 20 + 4m + 18p 12 12 15ab 16a + 20b 16. 17. 18. – – –6mp – – – Solve each equation. Check your solutions. 19. 32) = 0 20. 4b(b + 4) = 0 21. (y 3)(y + 2) = 0 x(x – – 22. (a + 6)(3a 7) = 0 23. (2y + 5)(y 4) = 0 24. (4y + 8)(3y 4) = 0 – – – 25. 2 + 20z = 0 26. 8 4p = 0 27. 9 = 27x – 28. 18 = 15x 29. 14 = 30. 8 = –21x –26x 31. LANDSCAPING A landscaping company has been commissioned to design a triangular flower bed for a mall entrance. The final dimensions of the flower bed have not been determined, but the company knows that the height will be two feet less than the base. The area of the flower bed can be represented by the equation = A b. – a. Write this equation in factored form. b. Suppose the base of the flower bed is 16 feet. What will be its area? 32. PHYSICAL SCIENCE a toy rocket from ground level with an initial upward Mr. Alim’s science class launched velocity of 60 feet per second. The height of the rocket in feet above the ground after seconds is modeled by the h t equation = 60t 16. How long was the rocket in the air before it returned to the ground? h –
8-5 Practice Using the Distributive Property Factor each polynomial. 1. 64 – 40ab 2. 4 + 16 3. 6t – 3r 4. 15ad + 30 5. 32 + 24 6. 36x – 48y 7. 30y + 35 8. 9 – 6a 9. 75 + 60b 10. 8 – 24p + 16pr 11. 5 + 10y + 25x 12. 9a + 18b + 24cx 13. + 4x + 2x + 8 14. 2 + 3a + 6a + 9 15. 4 – 12b + 2b – 6 16. 6xy – 8x + 15y – 20 17. –6mp + 4m + 18p – 12 18. 12 – 15ab – 16a + 20b Solve each equation. Check your solutions. 19. x(x – 32) = 0 20. 4b(b + 4) = 0 21. (y – 3)(y + 2) = 0 22. (a + 6)(3a – 7) = 0 23. (2y + 5)(y – 4) = 0 24. (4y + 8)(3y – 4) = 0 25. 2 + 20z = 0 26. 8 – 4p = 0 27. 9 = 27x 28. 18 = 15x 29. 14 = –21x 30. 8 = –26x 31. LANDSCAPING A landscaping company has been commissioned to design a triangular flower bed for a mall entrance. The final dimensions of the flower bed have not been determined, but the company knows that the height will be two feet less than the base. The area of the flower bed can be represented by the equation A = – b. a. Write this equation in factored form. b. Suppose the base of the flower bed is 16 feet. What will be its area? 32. PHYSICAL SCIENCE Mr. Alim’s science class launched a toy rocket from ground level with an initial upward velocity of 60 feet per second. The height h of the rocket in feet above the ground after t seconds is modeled by the equation h = 60t – 16. How long was the rocket in the air before it returned to the ground?
8.5-Practice-Using-the-Distributive-Property.docx