Practice - McGraw-Hill Higher Education

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NAME ______________________________________________ DATE______________ PERIOD _____8-2 PracticeFactoring Using the Distributive PropertyFactor each polynomial.1. 64 40ab 2. 4d 2 16 3. 6r 2 s 3rs 24. 15cd 30c 2 d 2 5. 32a 2 24b 2 6. 36xy 2 48x 2 y7. 30x 3 y 35x 2 y 2 8. 9c 3 d 2 6cd 3 9. 75b 2 c 3 60bc 310. 8p 2 q 2 24pq 3 16pq 11. 5x 3 y 2 10x 2 y 25x 12. 9ax 3 18bx 2 24cx13. x 2 4x 2x 8 14. 2a 2 3a 6a 9 15. 4b 2 12b 2b 616. 6xy 8x 15y 20 17. 6mn 4m 18n 12 18. 12a 2 15ab 16a 20bSolve each equation. Check your solutions.19. x(x 32) 0 20. 4b(b 4) 0 21. ( y 3)( y 2) 022. (a 6)(3a 7) 0 23. (2y 5)( y 4) 0 24. (4y 8)(3y 4) 025. 2z 2 20z 0 26. 8p 2 4p 0 27. 9x 2 27x28. 18x 2 15x 29. 14x 2 21x 30. 8x 2 26xLANDSCAPING For Exercises 31 and 32, use the following information.A landscaping company has been commissioned to design a triangular flower bed for a mallentrance. The final dimensions of the flower bed have not been determined, but the companyknows that the height will be two feet less than the base. The area of the flower bed can be1represented by the equation A b 2 b. 231. Write this equation in factored form.32. Suppose the base of the flower bed is 16 feet. What will be its area?Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.33. PHYSICAL SCIENCE Mr. Alim’s science class launched a toy rocket from ground levelwith an initial upward velocity of 60 feet per second. The height h of the rocket in feetabove the ground after t seconds is modeled by the equation h 60t 16t 2 . How longwas the rocket in the air before it returned to the ground?Chapter 8 16 Glencoe Algebra 1
NAME ______________________________________________ DATE______________ PERIOD _____8-3 PracticeFactoring Trinomials: x 2 bx cFactor each trinomial.1. a 2 10a 24 2. h 2 12h 27 3. x 2 14x 334. g 2 2g 63 5. w 2 w 56 6. y 2 4y 607. b 2 4b 32 8. n 2 3n 28 9. c 2 4c 4510. z 2 11z 30 11. d 2 16d 63 12. x 2 11x 2413. q 2 q 56 14. x 2 6x 55 15. 32 18r r 216. 48 16g g 2 17. j 2 9jk 10k 2 18. m 2 mv 56v 2Solve each equation. Check your solutions.19. x 2 17x 42 0 20. p 2 5p 84 0 21. k 2 3k 54 022. b 2 12b 64 0 23. n 2 4n 32 24. h 2 17h 60Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.25. c 2 26c 56 26. z 2 14z 72 27. y 2 84 5y28. 80 a 2 18a 29. u 2 16u 36 30. 17s s 2 5231. Find all values of k so that the trinomial x 2 kx 35 can be factored using integers.CONSTRUCTION For Exercises 32 and 33, use the following information.A construction company is planning to pour concrete for a driveway. The length of thedriveway is 16 feet longer than its width w.32. Write an expression for the area of the driveway.33. Find the dimensions of the driveway if it has an area of 260 square feet.WEB DESIGN For Exercises 34 and 35, use the following information.Janeel has a 10-inch by 12-inch photograph. She wants to scan the photograph, then reducethe result by the same amount in each dimension to post on her Web site. Janeel wants thearea of the image to be one eighth that of the original photograph.34. Write an equation to represent the area of the reduced image.Lesson 8-335. Find the dimensions of the reduced image.Chapter 8 23 Glencoe Algebra 1
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