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Name: ________________________ Class: ___________________ Date: __________ ID: A Unit III .......................................................Assessment Review ..................................................Part 3 Find the ratio of the area of the shaded region to the area of the unshaded region. The figures are composed of rectangles, squares, and right triangles. 11. 0.8 5.6 = 0.9 y 12. 0.42 1.5 = d 2.5 Find the value of x. 13. x 5 = 9 x+4 1. Find the unit rate. 926 cycles 30 sec 4. 110 mi 90 min 5. $2.25 3 days x+6 200 15. x% = 2x + 4 400 16. You are making almond milk. The recipe states that you need 4 parts water for every 1 part almonds. You used 16 cups of water and 2 bags of almonds. How many cups of almonds are in each bag? 2. 3. 14. x% = Given JKLMN ≅ VWXYZ, find the indicated measure. Write the equivalent rate. 6. 2 mi ? in. = 1 min 1 min 17. m∠Y 18. m∠X 15 m ?m 7. = 1 min 1 day 8. 19. YZ $3.60 ? $ = 1 gal 1 pt Solve the proportion. 9. a 16.5 = 2 4.4 10. 4.5 90 = 13.5 w 1 Name: ________________________ ID: A Given ∆ABE, ∆CDE, and ∆EFG are all similar, find the indicated measure. Use the following information. At a carnival, you are playing a game in which you throw a dart at the rectangular board shown. You must throw the dart into the square region marked with the "X" to win a prize. The dart has an equal likelihood of landing at any point on the rectangular board. 20. AB 21. FG 22. BE 23. EF 29. What is the probability that you win a prize? 24. A cereal company sells their cereal in three different size boxes. All three boxes are similar. Box A has a height of 12 inches, a width of 8 inches, and a depth of 4 inches. Box B has a height of 10 inches, and Box C has a width of 6 inches. What are the dimensions of Box B and Box C? 30. What are the odds in favor of you winning a prize? 31. About how many times would you expect to throw the dart to win two prizes? Use the following information. You roll a 6-sided number cube and a 10-sided number decahedron. 1 miles. Use the 2 given map distance to find the actual distance. A map has a scale of 1 inch : 2 25. 32. How many different possible outcomes are there for the pairs of numbers rolled? 33. What is the probability that you roll the same number on the cube and the decahedron? 1 in. 8 26. 3 Write the percent as a fraction in simplest form, or write the fraction as a percent. 3 in. 4 34. 2.52% A map has a scale of 1 centimeter : 150 kilometers. Use the given actual distance to find the distance on the map. 35. 0.35% 36. 27. 1575 km 28. 30 km 1 11 Find the percent of the number. 37. 11% of 84 38. 0.15% of 220 Use a proportion to answer the question in terms of y. 39. What number is 60% of 20y? 2 Name: ________________________ ID: A 40. 7y is 20% of what number? 48. How many more people chose the beach than the mountains? 41. You are making cupcakes for a bake sale. So far, you have made 60 cupcakes. Of those, 24 are vanilla and 36 are chocolate. You want the chocolate cupcakes to make up 70% of the total number of cupcakes. Write and solve a proportion to find the number of chocolate cupcakes that need to be added. Use a proportion or the percent equation to answer the question. 49. What number is 128% of 30? 50. 1.02 is 2% of what number? 51. What percent of 9 is 12? Write the percent as a decimal or the decimal as a percent. Find the new amount. 42. 100.85% 52. Increase 14 by 105% . 43. 0.0402 53. Decrease 36 by 75% . Use a number line to order the numbers from least to greatest. 44. 240%, 3, 54. You buy a sweater during a one-day sale for $18.75. This amount is 75% of the original price of the sweater. After the sale, the sweater will be back to its original price. By what percent will the sale price of the sweater increase in order for it to be back to its original price? 7 5 , 200%, , 2.1 3 2 Evaluate the expression when t = 30. Use the given information to find the original price. 45. t% of 65 46. (t − 12)% of 4 55. Retail price: $72.25 Markup percent: 70% Use the circle graph that shows the results of a survey asking 450 people their favorite place to vacation. 56. Sale price: $21.73 Discount percent: 18% Find the unknown quantity for an account that earns simple annual interest. 57. 47. How many people chose either the park or a historic site? 58. A = $1365.68, P = $860, r = 5.6%, t = ? years 3 A = $1342.85, P = ? , r = 3.5%, t = 2 years ID: A Unit III .......................................................Assessment Review ..................................................Part 3 Answer Section 1 8 3 2. 1 1. 13 cycles per minute 15 2 1 miles per minute 9 $.75 per day 126,720 in. 1 min 21,600 m 1 day 3. 30 4. 5. 6. 7. 8. $.45 1 pt 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 7.5 270 6.3 0.7 5 6 2 2 cups 138° 90° 8 in. 10 m 7.5 m 16 m 12 m 24. Box B: 10 in. × 6 2 1 in. × 3 in. 3 3 Box C: 9 in. × 6 in. × 3 in. 25. 26. 27. 28. 29. 5 mi 16 3 9 mi 8 10.5 cm 0.2 cm 1 30 1 ID: A 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50. 51. 52. 53. 54. 55. 56. 57. 58. 1 29 60 times 60 1 10 63 2500 7 2000 1 9 % 11 9.24 0.33 12y 35y 20 chocolate cupcakes 1.0085 4.02% 7 5 200% , 2.1, , 240% , , 3 3 2 19.5 0.72 180 people 99 people 38.4 51 1 133 % 3 28.7 9 1 33 % 3 $42.50 $26.50 $1255 1 10 years 2 2