Chapter 9 - XYZ Custom Plus

More documents

Recommendations

Info

544 <strong>Chapter</strong> 9 Solving Equations and Inequalities B aSolve each equation by first finding the LCD for the fractions in the equation and then multiplying both sides of the equation by it. (Assume x is not 0 in Problems 39–46.) [Examples 5–7] x x 31. } } 1 }6 } 5 5 3 35. 3x 1 } 1 2 } 5 }1 4 } 39. } 4 x } 5 }1 5 } 43. } 3 x } 2 }2 x } 5 }1 5 } x x 32. } } 2 }4 } 5 3 2 36. 3x 2 } 1 3 } 5 }1 6 } 40. } 2 3 } 5 }6 x } 44. } 7 x } 1 }1 x } 5 2 x 33. } } 2 x 5 4 5 x 1 37. } } 1 } 3 2 } 5 2}1 2 } 41. } 3 x } 1 1 5 }2 x } 45. } 1 x } 2 }1 2 } 5 2}1 4 } x 34. } } 1 x 5 8 3 x 4 38. } } 1 } 2 3 } 5 2}2 3 } 42. } 4 x } 1 3 5 }1 x } 46. } 3 x } 2 }4 5 } 5 2}1 5 } Solve each equation. 47. 4x 2 4.7 5 3.5 48. 2x 1 3.8 5 27.7 49. 0.02 1 5y 5 20.3 50. 0.8 1 10y 5 20.7 51. } 1 }x 2 2.99 5 1.02 3 52. } 1 }x 1 2.87 5 23.01 7 53. 7n 2 0.32 5 5n 1 0.56 54. 6n 1 0.88 5 2n 2 0.77 55. 3a 1 4.6 5 7a 1 5.3 56. 2a 2 3.3 5 7a 2 5.2 57. 0.5x 1 0.1(x 1 20) 5 3.2 58. 0.1x 1 0.5(x 1 8) 5 7 Find the value of x for each of the figures, given the perimeter. 59. P 5 36 60. P 5 30 x x x 2x 3 x 6 2x 2 61. P 5 16 62. P 5 60 x x x 2x 6 2x 4 x 1
9.4 Problem Set 545 C Applying the Concepts 63. Skyscrapers The chart shows the heights of the three tallest buildings in the world. The height of the Empire State Building relative to the Petronas Towers can be given by the equation 1483 5 233 1 x. What is the height of the Empire State Building? 64. Sound The chart shows the decibel level of various sounds. The human threshold of pain relative to the decibel level at a football stadium is given by the equation 117 5 x 2 3. What is the human threshold of pain? Such Great Heights Taipei 101 Taipei, Taiwan Petronas Tower 1 & 2 Kuala Lumpur, Malaysia 1,483 ft 1,670 ft Sears Tower Chicago, USA 1,450 ft Sounds Around Us Normal Conversation Football Stadium 60 dB 117 dB Blue Whale 188 dB Source: www.tenmojo.com Source: www.4to40.com 65. Geometry The figure shows part of a room. From a point on the floor, the angle of elevation to the top of the window is 45°, while the angle of elevation to the ceiling above the window is 58°. Solving either of the equations 58 2 x 5 45 or 45 1 x 5 58 will give us the number of degrees in the angle labeled x °. Solve both equations. 66. Rhind Papyrus As we mentioned in the introduction to this section, the Rhind Papyrus was created around 1650 bc and contains the riddle, “What quantity when added to one-fourth of itself becomes 15?” This riddle can be solved by finding x in the equation below. Solve this equation. x 1 } 1 4 } x 5 15 Ceiling Window 58° 45° Floor x° Bridgeman Art Library/ Getty Images 67. Math Tutoring Several students on campus decide to start a small business that offers tutoring services to students enrolled in mathematics courses. The following equation shows the amount of money they collected at the end of the month, assuming expenses of $400 and a charge of $30 an hour per student. Solve the equation $500 5 $30x 2 400 to determine the number of hours students came in for tutoring in one month. 68. Shopping for a Calculator You find that you need to purchase a specific calculator for your college mathematics class. The equation $18.75 5 p 1 } 1 }p shows the price 4 charged by the college bookstore for a calculator after it has been marked up. How much did the bookstore pay the manufacturer for the calculator?
Page 1 and 2: Solving Equations and Inequalities
Page 3 and 4: The Distributive Property and Algeb
Page 5 and 6: 9.1 The Distributive Property and A
Page 7 and 8: 9.1 The Distributive Property and A
Page 9 and 10: 9.1 Problem Set 517 Problem Set 9.1
Page 11 and 12: 9.1 Problem Set 519 Find the value
Page 13 and 14: 9.1 Problem Set 521 91. Temperature
Page 15 and 16: Introduction . . . The Addition Pro
Page 17 and 18: 9.2 The Addition Property of Equali
Page 21 and 22: 9.2 Problem Set 529 Applying the Co
Page 23 and 24: The Multiplication Property of Equa
Page 25 and 26: 9.3 The Multiplication Property of
Page 29 and 30: 9.3 Problem Set 537 Find the value
Page 31 and 32: Introduction . . . Linear Equations
Page 33 and 34: 9.4 Linear Equations in One Variabl
Page 35: 9.4 Problem Set 543 Problem Set 9.4
Page 39 and 40: Introduction . . . Applications As
Page 41 and 42: 9.5 Applications 549 Step 2 Assign
Page 43 and 44: 9.5 Applications 551 Example 4 The
Page 45 and 46: 9.5 Applications 553 Step 2 Assign
Page 49 and 50: 9.5 Problem Set 557 Coin Problems 3
Page 51 and 52: Introduction . . . Evaluating Formu
Page 53 and 54: 9.6 Evaluating Formulas 561 The rat
Page 57 and 58: 9.6 Problem Set 565 B Maximum Heart
Page 59 and 60: 9.6 Problem Set 567 Applying the Co
Page 61 and 62: Chapter 9 Summary Combining Similar
Page 63 and 64: Chapter 9 Review Simplify the expre
Page 65 and 66: Chapter 9 Cumulative Review 573 28.
Page 67 and 68: Chapter 9 Projects Solving Equation

Chapter 9 - XYZ Custom Plus

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?