3.5 Chapter Review
Review Exercises
Write a Ratio as a Fraction
In the following exercises, write each ratio as a fraction. Simplify the answer if possible.
| 1. to | 2. to |
| 3. to | 4. to |
| 5. | 6. |
| 7. inches to feet | 8. ounces to ounces |
Write a Rate as a Fraction
In the following exercises, write each rate as a fraction. Simplify the answer if possible.
| 9. pounds per square inches | 10. calories per ounces |
| 11. for hours | 12. miles in hours |
Find Unit Rates
In the following exercises, find the unit rate.
| 13. pounds per square inches | 14. calories per ounces |
| 15. for hours | 16. miles in hours |
Find Unit Price
In the following exercises, find the unit price.
| 17.Highlighters: for | 18. T-shirts: for |
| 19. Anna bought a pack of kitchen towels for . How much did each towel cost? Round to the nearest cent if necessary. | 20. An office supply store sells a box of pens for . The box contains pens. How much does each pen cost? |
| 21.Vitamins: tablets for or for | 22. Shampoo: ounces for or ounces for |
Translate Phrases to Expressions with Fractions
In the following exercises, translate the English phrase into an algebraic expression.
| 23. adults to children | 24. miles per |
| 25. the ratio of and the sum of and | 26. the ratio of and the difference of and |
In the following exercises, write each percent as a ratio.
| 27. admission rate for the university | 28. rate of college students with student loans |
In the following exercises, write as a ratio and then as a percent.
| 29. out of architects are women. | 30. out of every nurses are men. |
In the following exercises, convert each percent to a fraction.
| 31. | 32. |
| 33. | 34. |
In the following exercises, convert each percent to a decimal.
| 35. | 36. |
| 37. | 38. 4.9% |
In the following exercises, convert each percent to a) a simplified fraction and b) a decimal.
| 39. In of the Canadian population was age or over. (Source: www12.statcan.gc.ca) | 40. In of the Canadian population was under years old. (Source: www12.statcan.gc.ca) |
| 41. When a die is tossed, the probability it will land with an even number of dots on the top side is . | 42. A couple plans to have three children. The probability they will all be girls is . |
In the following exercises, convert each decimal to a percent.
| 43. | 44. |
| 45. | 46. |
| 47. | 48. |
In the following exercises, convert each fraction to a percent.
| 49. | 50. |
| 51. | 52. |
| 53. According to the Centers for Disease Control, of adults do not take a vitamin or supplement. | 54. According to the Centers for Disease Control, among adults who do take a vitamin or supplement, take a multivitamin. |
In the following exercises, translate and solve.
| 55. What number is of | 56. of is what number? |
| 57. is of what number? | 58. is of what number? |
| 59. of what number is | 60. of what number is |
| 61. What percent of is | 62. What percent of is |
Solve General Applications of Percents
In the following exercises, solve.
| 63. When Aurelio and his family ate dinner at a restaurant, the bill was . Aurelio wants to leave of the total bill as a tip. How much should the tip be? | 64. One granola bar has grams of fiber, which is of the recommended daily amount. What is the total recommended daily amount of fiber? |
| 65. The nutrition label on a package of granola bars says that each granola bar has calories, and calories are from fat. What percent of the total calories is from fat? | 66. Elsa gets paid per month. Her car payment is . What percent of her monthly pay goes to her car payment? |
| 67. Marta got a gift of from her uncle. She spent of that money for her trip to Victoria. How much money she has left?. | 68. Last year Bernard bought a new car for . If the value of the car depreciated every year , find the value of the car this year. |
Solve Proportions and their Applications
In the following exercises, write each sentence as a proportion.
| 69. is to as is to . | 70. miles to gallons is the same as miles to gallons. |
| 71. teacher to students is the same as teachers to students. | 72. for ounces is the same as for ounces. |
In the following exercises, determine whether each equation is a proportion.
| 73. | 74. |
| 75. | 76. |
In the following exercises, solve each proportion.
| 77. | 78. |
| 79. | 80. |
In the following exercises, solve the proportion problem.
| 81. The children’s dosage of acetaminophen is millilitre s (ml) for every pounds of a child’s weight. How many millilitre s of acetaminophen will be prescribed for a pound child? | 82. After a workout, Dennis takes his pulse for sec and counts beats. How many beats per minute is this? |
| 83. An ounce serving of ice cream has calories. If Lavonne eats ounces of ice cream, how many calories does she get? | 84. Alma is going to Europe and wants to exchange into Euros. If each dollar is Euros, how many Euros will Alma get? |
| 85. Zack wants to drive from Abbotsford to Banff, a distance of miles. If his car gets miles to the gallon, how many gallons of gas will Zack need to get to Banff? | 86. Teresa is planning a party for people. Each gallon of punch will serve people. How many gallons of punch will she need? |
In the following exercises, translate to a proportion.
| 87. What number is of | 88. is of what number? |
| 89. What percent of is | 90. What percent of is |
In the following exercises, translate and solve using proportions.
| 91. What number is of | 92. of what number is |
| 93. is of what number? | 94. What percent of is |
In the following exercises, convert each percent to a) a decimal b) a simplified fraction.
| 95. | 96. |
| 97. |
In the following exercises, convert each fraction to a percent. (Round to decimal places if needed.)
| 98. | 99. |
| 100. |
In the following exercises, solve the percent problem.
| 101. is what percent of | 102. What number is of |
| 103. of what number is | 104. Write as a proportion: gallons to miles is the same as gallons to miles. |
| 105. Vin read pages of a book in minutes. At that rate, how long will it take him to read pages? |
Review Answers
| 1. | 3. | 5. |
| 7. | 9. | 11. |
| 13. 12 pounds/sq.in. | 15. $17.50/hour | 17. $0.42 |
| 19. $1.65 | 21. $0.11, $0.12; 60 tablets for $6.49 | 23. |
| 25. | 27. | 29. |
| 31. | 33. | 35. 0.06 |
| 37. 1.28 | 39.
a) b) |
41.
a) b) |
| 43. 4% | 45. 282% | 47. 0.3% |
| 49. 75% | 51. 362.5% | 53. 40% |
| 55. 161 | 57. 240 | 59. 25 |
| 61. 68% | 63. $16.70 | 65. 28.4% |
| 67. 1235 | 69. | 71. |
| 73. yes | 75. no | 77. 20 |
| 79. 4 | 81. 12 | 83. 340 |
| 87. | 89. | 91.765 |
| 93. $78 | 95. | 97. |
| 99. 33.333% | 101.25% | 103. 40 |
| 105. 42 |
Chapter Test
| 1. Write a ratio as a fraction. Simplify the answer if possible. to |
2. Write a rate as a fraction. Simplify the answer if possible. pounds per square inches |
| 3. Find the unit rate. for hours | 4. Marta bought a pack of paint brushes for . How much did each brush cost? Round to the nearest cent if necessary |
| 5. Find each unit price and then the better buy. Laundry detergent: ounces for or ounces for |
6. Convert a percent to a fraction: |
| 7. Convert a decimal to a percent: | 8. Convert a fraction to a percent. (Round to decimal places if needed.) |
| 9. What number is of | 10. of what number is |
| 11. is what percent of | 12. One granola bar has grams of fiber, which is of the recommended daily amount. What is the total recommended daily amount of fiber? |
| 13. Klaudia is going to Poland and wants to exchange into Polish zlotych. If each dollar is zlotych, how many zlotych will Klaudia get? | 14. Solve a proportion: |
| 15. Solve a proportion: | 16.Solve a proportion: |
Test Answers
| 1. | 2. | 3. $36.20 |
| 4. $5.37 | 5. 64 ounces for $10.99 is the better buy | 6. |
| 7. 7% | 8. 137.5% | 9. 162 |
| 10. 425 | 11. 16% | 12. 25 grams |
| 13. 4074 zlotych | 14. 56 | 15. 2.25 |
| 16. 9.3 |