Name _____________________________________ Date _____________ Period __________ Review # 5 Factor the following polynomials. 1. x² - 2x – 15 2. 12x² – 26x – 10 3. 2x² + x – 3 4. 9x² - 6x – 15 5. x² - 6x + 9 6. 7x² - 22x + 3 7. 12x² - 3x 8. 3x² - 48 9. 15x² - 17x + 2 10. 144x² - 81 Review # 5 Solve the following quadratic equations by FACTORING. 11. 6x = -x² - 8 12. 3x² = 16x + 12 13. x + 3 = 2x² 14. 4x² + x = 9 + x Solve the following equations using QUADRATIC FORMULA. 15. 2x² + 3x = 5 16. x² - 6x + 3 = 0 17. x² - 7x + 4 = 0 18. 25x² = 20x + 6 = 0 Review # 5 Simplify the following radicals. 19. 6 72 20. 21. 22. 3 216 480 80 Solve using the square root method. 23. x² - 4 = 0 24. x² - 27 = 0 25. 5x² = 80 26. 9x² - 32 = 40 27. Joey used algebra tiles to model the trinomial x2 − x − 6 as shown below. What are the factors of this trinomial? A. B. C. D. (x + 3)(x + 2) (x + 1)(x – 6) (x – 6)(x – 3) (x – 3)(x + 2) x2 -x -x -x x x -1 -1 -1 -1 -1 -1 28. The area of a triangle is given by the equation h 2 + 4h = 192 where h is the height of the triangle. What is the height of the triangle? A. B. C. D. E. 8 12 16 24 48 Review # 5 29. At which points does the graph of f ( x) = x2 − 4x − 96 intersect the x-axis? A. (-16, 0) and (6, 0) B. (-12, 0) and (8, 0) C. (-8, 0) and (12, 0) D. (-6, 0) and (16, 0) E. (-4, 0) and (24, 0) Review 30. Solve 3x + 4 = 13 31. The owner of a bookstore recorded the following information from last week. Number of Customers, c Amount of Sales, s (in dollars) 12 18 24 30 36 42 80 110 140 170 200 230 According to information in the table, which equation describes the relationship between the number of customers and the amount of sales? A. s = 6c + 30 B. s = c + 30 C. s = 5c + 20 D. s = c + 30 6 E. s = 6c + 8 32. A rectangle’s length, l, is 3 times the width, w. If the perimeter of the rectangle is 96 units, what are the rectangle’s dimensions? A. B. C. D. 12 units and 32 units 4 units and 12 units 8 units and 24 units 36 units and 12 units Review # 5 33. Haley had a job delivering advertising circulars house to house. She started with 1500 circulars. At the end of 1 hour, she had delivered 185. She plotted her progress each hour showing the number of circulars she had left. After 5 hours her graph looked like this. Delivery of Circulars Number of Advertising Circulars 1500 1400 1300 1200 1100 1000 900 800 700 600 500 400 300 200 100 0 0 1 2 3 4 5 6 7 Number of Hours 8 Based on this information, which is the best prediction of the number of circulars Haley will have left after 8 hours? A. 485 B. 395 C. 310 D. 275 E. 150 34. If matrix A is 2x4 and matrix B is 4x1, can you find AB? If so, what size is it? 35. If matrix A is 3x2 and matrix B is 4x2, can you find AB? If so what size is it? Answers Review # 5 Answers Review # 5 1. x – 5)(x + 3) 2. 2(2x – 5)(3x + 1) 3. (2x + 3)(x – 1) 4. 3(3x – 5)(x + 1) 5. (x – 3)(x – 3) 6. (7x – 1)(x – 3) 7. 3x(4x – 1) 8. 3(x – 4)(x + 4) 9. (15x – 2)(x – 1) 10. 9(4x – 3)(4x + 3) 11. -4, -2 −2 12. ,6 3 3 13. , -1 2 3 −3 14. , 2 2 −5 15. ,1 2 16. 3 ± 6 1. x – 5)(x + 3) 2. 2(2x – 5)(3x + 1) 3. (2x + 3)(x – 1) 4. 3(3x – 5)(x + 1) 5. (x – 3)(x – 3) 6. (7x – 1)(x – 3) 7. 3x(4x – 1) 8. 3(x – 4)(x + 4) 9. (15x – 2)(x – 1) 10. 9(4x – 3)(4x + 3) 11. -4, -2 −2 12. ,6 3 3 13. , -1 2 3 −3 14. , 2 2 −5 15. ,1 2 16. 3 ± 6 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 7 ± 33 2 2 ± 10 5 36 2 4 5 4 30 18 6 ±2 ±3 3 ±4 ±2 2 D B C − 17 3, 3 C D E Yes, 2X1 No 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 7 ± 33 2 2 ± 10 5 36 2 4 5 4 30 18 6 ±2 ±3 3 ±4 ±2 2 D B C − 17 3, 3 C D E Yes, 2X1 No