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Accelerated Algebra 2 Chapter 5 Review Name Date Period 1. List all the factors of 72 2. Write the prime factorization of 504 Find the GCF of each pair of monomials. (any method) 3. 54a5b3c2, 60a7bc4 5. Find the missing factor: 4. 5m2(2m + 1)(m – 3), 2m(m – 3)(3m + 2) (2x4y)6 = (2x5y)4( ? ) Simplify. 6. 48a 3b 7 c 2 40a 5 b 4 c 2 8m 2 n 2 9. 12mp 7. 0 ( m n) 2 ( m n) (m n)(m n) 2 24 x 2 y 3 18 x 3 y 2 10. 6 x 2 y 8. 53 n10 55 n 7 a 2 b 3ab 2 5ab b 2 11. ab b Accelerated Algebra 2 Chapter 5 Review Multiply. 12. (y + 7)(y + 6) 13. (a + b)(3a – 2b) 14. (x – 14)(x + 14) 15. (4x – 3)(2x + 1) 16. (5x + 3)(5x – 3) 17. (y + 6)2 18. (5m3 – 3p3)2 19. (3x5 + 8)(x5 – 2) 20. (5x – 9)(2x + 3) 21. mn(m + 2n)(m – 3n) 22. (2x – 3)(x2 – 10x + 4) 23. 3a(2a + 5)2 Factor. 24. x2 – 8x – 48 25. a3 + 4a2 – a – 4 26. 24x2 +48xy – 30y2 27. 3x3 + 10x2 – 8x 28. 24m2 – 54c2 29. 36x2 – 84xy + 49y2 30. 24x3 + 44x2 – 40x 31. w4 + 2w2 – 24 32. 5c3 – 45c – 18 + 2c2 33. 16x2 – 28x + 10 34. y2 + 4y – 192 35. 12x5 + 7x3 – 10x Accelerated Algebra 2 Chapter 5 Review Solve. 36. (a + 13)(a + 8) = 0 37. (2x – 5)(3x + 2) = 0 38. m(2m + 7)(3m – 4) = 0 39. y2 – 7y – 18 = 0 40. x2 – 21x = – 20 41. 3m2 + 1 = 4m 42. w3 – 9w = 0 43. 5p2 – 20p = 0 44. 6 – 23n = 4n2 45. 6x3 + 7x2 – 3x = 0 Accelerated Algebra 2 Chapter 5 Review Define your variable, write an equation, and solve by factoring. 46. The sum of a number and its square is 132. Find the number. 47. The sum of the squares of two consecutive positive odd integers is 202. Find the numbers. 48. A rectangle is 8 cm longer than it is wide. The area is 240 cm2. 49. The sum of two numbers is 12 and the sum of their squares is 74. Find the numbers. 50. If a rectangle that is 18 cm by 15 cm has the length and width decreased by the same amount the original area is decreased by 144 cm2. Find the new dimensions. Accelerated Algebra 2 Chapter 5 Review Answers 1. 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 2. 23•32•7 3. 6a5bc2 4. m(m – 3) 5. 4x4y2 6b 3 6. 5a 2 mn 7. mn n3 8. 25 9. 1 10. 4y2 + 3xy 11. –4a + 4b 12. y2 + 13y + 42 13. 3a2 + ab – 2b2 14. x2 – 196 15. 8x2 – 2x – 3 16. 25x2 – 9 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. y2 + 12y + 36 25m6 – 30m3p3 + 9p6 3x10 + 2x5 – 16 10x2 – 3x – 27 m3n – m2n2 – 6mn3 2x3 – 23x2 + 38x – 12 12a3 + 60a2 + 75a (x – 12)(x + 4) (a + 4)(a + 1)(a – 1) 6(2x + 5y)(2x – y) x(x + 4)(3x – 2) 6(2m + 3c)(2m – 3c) (6x – 7y)2 4x(2x + 5)(3x – 2) (w2 + 6)(w + 2)(w – 2) (5c + 2)(c + 3)(c – 3) 2(4x – 5)(2x – 1) (y + 16)(y – 12) x(3x2 – 2)(4x2 + 5) {–13, –8} 2 5 3 2 4 7 38. , 0, 3 2 37. , 39. {–2, 9} 40. {1, 20} 1 3 41. 1, 42. {–3, 0, 3} 43. {0, 4} 1 4 1 3 45. , 0, 2 3 44. 6, 46. 47. 48. 49. 50. 11 or –12 9, 11 12 cm by 20 cm 5 and 7 14cm by 9cm