Algebra 1 Chapter 8 review Simplify. 1. (x6)(x9) = _____________ Name: _______________________ 3. (2x3)(x4) = ______________ 4. (-5x6)(x7) = _______________ 5. (-8x9)(x) = _____________ 6. (-2x3)(x) = ______________ 7. (4x6)(2x7) = _____________ 8. (-8x4)(5x6) = ______________ 9. (7x2y4)(-5xy) = __________ 10. (6x4y)(-5xy2) = ____________ 11. x5 = ________________ x8 12. x3 = _________________ x10 13. x11y = _____________ x4y6 14. xy12 = _____________ x4y11 15. 12x6y = _____________ 10x3y5 16. 18x4y8 = ____________ 14x3y5 17. x8 = ______________ x8 18. x4 = _________________ x4 19. (x2)3 = ___________ 20. (x4)5 = _______________ 21. (3x4y5z)3 = _____________ 22. (7xy2z4)2 = _____________ 23. (7xyz)0= _______________ 24. (124xy)0 = _____________ 25. (-2x3y4)3(2xy) = _______________ 26. (4x6y7)2(2xy) = ____________ 27. x7 y5 28. x2 y3 29. 3 = ________________ 3x4y5z 7m7 2 = _______________ 2. (x5)(x) = ________________ 6 = _______________ 30. 3x4y5z2 2c8 3 = ____________ 31. x-5 = _________________ 32. x-2 = _________________ 33. x-4y-6 =_________________ x-3y-5 34. x-8y-8 = ________________ x-7y-4 Write an expression to represent the area of each figure. 35. 36. 37. 38. Write the following in scientific notation. 39. 450,000,000,000 ______________ 40. .000023 ______________ 41. (4 x 104)(2 x 107) ______________ 42. (15 x 108) _______________ (3 x 102) Write the following in standard form. 43. 5.6 x 105 ____________ 44. 2.1 x 10-7 _______________ Add or subtract. 45. (4a + 5b -2c) + (7a - 5b + 2c) ______________ 46. (7x2 – x – 6) + (4x2 – 3x + 6) ________________ 47. (5x + 5y – 2z) – (8x + 2y – 6z) _________________ 48. (2x3 – 8x2 + 2x) – (9x3 – 2x2 – 4x) _________________ Multiply and simplify. 49. 7x(3x2 – 5x + 3) _________________________ 50. 3xy(8x2y + 5xy2 + 4x – 7y) __________________ 51. 5x2(8xy + 4x – 9y + 2x2y2) __________________ Find the degree of each polynomial. 52. 4x5y3z _____________ 53. 2x8+ 3x4y3z – 4xyz ______________ Arrange the terms of the polynomial so that the powers of x are in descending order. 54. 4x – 2 + 6x2 _________________ 55. 3x7y3 – 6x9y4 + 2x5y3 ___________ Multiply and Simplify. (FOIL) 56. (y + 2)(y – 5) ______________ 57. (y – 4)(y + 1) _____________ 58. (2x + 2)(x - 6) _____________ 59. (7x – 3)(x + 4) _____________ 60. (3x -1)(2x2 + 3x + 2) __________ 61. (2x+ 3)(4x2 – 2x + 1) ________ 62. (3x – 1)2 ________ 63. (4x + 2)2 _________________ Graph the following system of equation. Be sure to label your solution. 64. y = -3/4x + 3 y = 2x – 8 Solve the following systems of equations. Be sure to find both x and y. 65. 5x – 3y = 6 x = 2y + 46 66. 3x – 4y = 1 12x - y = -11 Write and solve a system of equations. 67. The sum of two numbers is -3, and their difference is 11. Find the two numbers. 68. The sum of two numbers is -7, and their difference is -17. Find the two numbers.