166 Chapter 3 Solving Equations 27. Five less than the quotient of a number and 4 is equal to 12. Find the number. Concept 3: Applications of Linear Equations 28. Ten less than the quotient of a number and 6 is 2. Find the number. 29. Eight decreased by the product of a number and 3 is equal to 5. Find the number. 30. Four decreased by the product of a number and 7 is equal to 11. Find the number. 31. Three times the sum of a number and 4 results in 24. Find the number. 32. Twice the sum of 9 and a number is 30. Find the number. 33. Negative four times the difference of 3 and a number is 20. Find the number. 34. Negative five times the difference of 8 and a number is 55. Find the number. 35. The product of 12 and a number is the same as the sum of the number and 26. Find the number. 36. The difference of a number and 16 is the same as the product of the number and 3. Find the number. 37. Ten times the total of a number and 5 is 80. Find the number. 38. Three times the difference of a number and 5 is 15. Find the number. 39. The product of 3 and a number is the same as 10 less than twice the number. 40. Six less than a number is the same as 3 more than twice the number. 41. A metal rod is cut into two pieces. One piece is five times as long as the other. If x represents the length of the shorter piece, write an expression for the length of the longer piece. (See Example 4a.) 42. Jackson scored three times as many points in a basketball game as Tony did. If p represents the number of points that Tony scored, write an expression for the number of points that Jackson scored. 43. Tickets to a college baseball game cost $6 each. If Stan buys n tickets, write an expression for the total cost. (See Example 4b.) 44. The tuition and fees at a two-year college are $95 per credit-hour. If Tyler takes h credit-hours, write an expression for the cost of his tuition and fees. 45. Bill’s daughter is 30 years younger than he is. Write an expression for his daughter’s age if Bill is A years old. (See Example 4c.) 46. Carlita spent $88 less on tuition and fees than her friend Carlo did. If Carlo spent d dollars, write an expression for the amount that Carlita spent. 47. The number of prisoners at the Fort Dix Federal Correctional Facility is 1481 more than the number at Big Spring in Texas. If p represents the number of prisoners at Big Spring, write an expression for the number at Fort Dix. 48. Race car driver A. J. Foyt won 15 more races than Mario Andretti. If Mario Andretti won r races, write an expression for the number of races won by A. J. Foyt. 49. The typical cost for text messaging is 20 cents per message. Write an expression for the cost of sending t messages. 50. Sandy bought eight tomatoes for c cents each. Write an expression for the total cost.
miller_prealgebra_2e_ch1_3
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