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miller_introductory_algebra_3e_ch1_3

154 Chapter 2 Linear Equations and Inequalities 14. Three times a number is the same as the difference of twice the number and seven. Find the number. The number is 7. 13. A number added to five is the same as twice the number. Find the number. The number is 5. 16. The difference of fourteen and three times a number is the same as the sum of the number and negative ten. Find the number. The number is 6. 15. The sum of six times a number and ten is equal to the difference of the number and fifteen. Find the number. The number is 5. 18. Twice the sum of a number and eleven is twenty-two less than three times the number. Find the number. The number is 44. 17. If the difference of a number and four is tripled, the result is six less than the number. Find the number. The number is 3. Concept 3: Consecutive Integer Problems 20. a. If x represents the smallest of three consecutive odd integers, write an expression to represent each of the next two consecutive odd integers. x 2, x 4 b. If x represents the largest of three consecutive odd integers, write an expression to represent each of the previous two consecutive odd integers. x 2, x 4 19. a. If x represents the smallest of three consecutive integers, write an expression to represent each of the next two consecutive integers. x 1, x 2 b. If x represents the largest of three consecutive integers, write an expression to represent each of the previous two consecutive integers. x 1, x 2 For Exercises 21–30, use the problem-solving flowchart from page 147. (See Examples 4 and 5.) 22. The sum of two consecutive odd integers is 52. Find the integers. The integers are 25 and 27. 24. The sum of three consecutive even integers is 66. Find the integers. The integers are 20, 22, and 24. 67 23. The sum of two consecutive odd integers is 28. Find the integers. The integers are 13 and 15. 25. The perimeter of a pentagon (a five-sided polygon) is 80 in. The five sides are represented by consecutive integers. Find the measures of the sides. The sides are 14 in., 15 in., 16 in., 17 in., and 18 in. 26. The perimeter of a triangle is 96 in. The lengths of the sides are represented by consecutive integers. Find the measures of the sides. The sides are 31 in., 32 in., and 33 in. 28. The sum of three consecutive odd integers is 89 less than twice the largest integer. Find the integers. The integers are 87, 85, and 83. 21. The sum of two consecutive integers is . Find the integers. The integers are 34 and 33. x 27. The sum of three consecutive even integers is 48 less than twice the smallest of the three integers. Find the integers. The integers are 54, 52, and 50. x 29. Eight times the sum of three consecutive odd integers is 210 more than 10 times the middle integer. Find the integers. The integers are 13, 15, and 17. 30. Five times the sum of three consecutive even integers is 140 more than ten times the smallest. Find the integers. The integers are 22, 24, and 26. Writing     Translating Expression     Geometry      Scientific Calculator     Video


miller_introductory_algebra_3e_ch1_3
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