82 Chapter 1 Real Numbers and Algebraic Expressions Practice Makes Perfect! For each algebraic expression, complete the chart by identifying the total number of terms, the variable terms, the constant terms, and the coeffi cients of the variable terms. (See Objective 1.) Determine if the terms are like or unlike. (See Objective 2.) 19. 5k and k 20. h and -3h 21. 3r2h and r2h 22. 2πrh and πrh 23. 5xy and -6x2y 24. 3ab2 and a2b 25. 1 2 c3 and -c3d 26. 4 3 πr3 and 4πr2 Simplify each expression by combining like terms, if possible. (See Objective 3.) 27. 12x + x 28. 20y + y 29. 12a - a 30. 23b - b 31. 14x - 26x 32. -9y - 12y 33. 4x2 + 15x2 34. 5y2 + 8y2 35. 5x2 - 23x2 36. -11y2 + 18y2 37. 2x - 3y 38. 4a + 6b 39. 9xy - 3y 40. 4ab + 5b 41. x 4 + 2x 42. 2y 5 + 3y 43. 2a - 3a 5 44. 3b - 5b 7 45. -4x2 + 5x + 2x2 - 8x 46. 6y2 - 9y - 8y2 + 7y 47. 6x2 - 21x - 18x2 - 4x 48. -9y2 + 12y - 7y2 - 2y Simplify each expression. (See Objective 4.) 49. 8x - 7 - 6x 50. 12x - 3 - x 51. 5(3x + 4) - 10 52. 6(10x + 5) - 12 53. -5(2x + 4) + 3(4x - 1) 54. -6(7x + 1) + 2(3x - 1) 55. 4(x - 3) + 2(-3x - 5) 56. -3(4x + 1) - 7(5x + 6) 57. 8a1 4 x - 2b - 3x 58. -9a1 3 x + 2b + 5x 59. 18 - 3(-5x + 4) 60. 7 - 2(3x + 6) 61. -12a5 6 y - 1 12 b - 10a1 5 y + 1 2 b 62. -10a 1 10 x - 1 10 b + 6a5 6 x - 2 3 b Expression Total Number of Terms Variable Term(s) Constant Term(s) Coeffi cient of Each Variable Term 9. -5x 10. 6x 11. 2y - 5 12. -y + 4 13. x2 - 5x + 3 14. -x2 + 6x - 7 15. -3x 4 - x2 + 4x - 1 16. 6x3 - 2x2 + 4x - 5 17. x 2 18. x 4 - 2 Mix ’Em Up! For each algebraic expression, complete the chart by identifying the total number of terms, the variable terms, the constant terms, and the coeffi cients of the variable terms. Expression Total Number of Terms Variable Term(s) Constant Term(s) Coeffi cient of Each Variable Term 63. - x + 12 64. 6x - 13 65. -3x2 + 7x - 2
hendricks_beginning_algebra_1e_ch1_3
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