Name: __________________________ Date:
FINAL
(75)
Basic Mathematics
Facilitator: Enos L. Russell, Ph.D.
Directions –Type the letter of the Correct response to each question in the empty box to the left of each question number. Save a copy of the Test on your computer and post a copy as an Attachment to a message in your Private Individual Forum. Good luck!
|Problems marked by an asterisk (*) or labeled show work and/or justify your answer here will receive no credit without showing work and/or justification.. The box will expand to fit your content.|
|A copy of the SOLUTIONS will be posted in the Course Mat folder on Monday, the day after class ends. |
|A*1. |Evaluate [pic] show work and/or justify your answer here |
| |[pic] |
|A) |21 |
|B) |–184 |
|C) |–21 |
|D) |184 |
|D 2. |Add –66 + (–32). |
|A) |–34 |
|B) |34 |
|C) |98 |
|D) |–98 |
|D 3. |Subtract –1.2 − (–5.6). |
|A) |–4.4 |
|B) |6.8 |
|C) |–6.8 |
|D) |4.4 |
|A 4. |Multiply (–1.6)(8)(–3). |
|A) |38.4 |
|B) |384 |
|C) |–102.4 |
|D) |–14.4 |
|C 5. |Divide [pic] |
|A) |3 |
|B) |50 |
|C) |9 |
|D) |4 |
|D*6. |Perform the indicated operation. show work and/or justify your answer here |
| | |
| |[pic] |
| | |
| |[pic] |
|A) |[pic] |
|B) |12 |
|C) |[pic] |
|D) |Undefined |
|A 7. |In the number 549,158,102 what number tells the number of ten millions? |
|A) |4 |
|B) |9 |
|C) |1 |
|D) |5 |
|C*8. |Adrienne opened a checking account and made deposits of $65 and $394. She wrote checks during the month for $31, $26, $82, and |
| |$187. What was her balance at the end of the month? show work and/or justify your answer here |
| | |
| |Balance = 65+394-31-26-82-187 = 133 |
|A) |$113 |
|B) |$123 |
|C) |$133 |
|D) |$143 |
|A 9. |There are 42 accounting classes with 19 students in each class. Estimate the total number of students in the accounting classes.|
|A) |800 students |
|B) |600 students |
|C) |1,200 students |
|D) |1,000 students |
|C*10. |Kell is separating a deck of 52 cards into 8 equal piles. How many cards will be left over? show work and/or justify your answer|
| |here |
| | |
| |[pic] |
|A) |8 |
|B) |6 |
|C) |4 |
|D) |5 |
|C*11. |Jamal is fencing a rectangular field that measures 28 ft by 24 ft. How much fencing should he buy? show work and/or justify your|
| |answer here |
| | |
| |[pic] |
|A) |52 feet |
|B) |627 feet |
|C) |104 feet |
|D) |627 square feet |
|D 12. |A shipping container is 7 ft by 6 ft by 2 ft. What is its volume? |
|A) |15 ft3 |
|B) |68 ft3 |
|C) |136 ft3 |
|D) |84 ft3 |
|B13. |Choose the correct prime factorization of the number 110. |
|A) |1 × 2 × 5 × 11 |
|B) |2 × 5 × 11 |
|C) |2 × 2 × 11 |
|D) |2 × 5 × 5 |
|D*14. |Choose the correct greatest common factor of 105 and 147. show work and/or justify your answer here |
| | |
| |[pic] |
|A) |63 |
|B) |20 |
|C) |15 |
|D) |21 |
|A 15. |At lunch, 7 people out of a group of 14 had hamburgers. What fraction names the part of the group who had hamburgers? What |
| |fraction names the part who did not have hamburgers? |
|A) |Had hamburgers: [pic] did not have hamburgers: [pic] |
|B) |Had hamburgers: [pic] did not have hamburgers: [pic] |
|C) |Had hamburgers: [pic] did not have hamburgers: [pic] |
|D) |Had hamburgers: [pic] did not have hamburgers: [pic] |
|D 16. |Can [pic] [pic] or [pic] be simplified? show work and/or justify your answer here |
| |T |
| |They are all prime numbers. |
|A) |[pic] |
|B) |[pic] and [pic] |
|C) |All three |
|D) |None |
|A*17. |Multiply [pic] Write your answer in simplest form. show work and/or justify your answer here |
| | |
| |[pic] |
|A) |[pic] |
|B) |[pic] |
|C) |[pic] |
|D) |[pic] |
|B*18. |Find [pic] of [pic] show work and/or justify your answer here |
| |[pic] |
|A) |[pic] |
|B) |[pic] |
|C) |[pic] |
|D) |[pic] |
|B 19. |The gas tank in Luigi's car holds 14 gal when full. The car gets 29 mi/gal. How far can he travel on 4 full tanks? show work |
| |and/or justify your answer here |
| | |
| |[pic] |
|A) |1,064 mi |
|B) |1,624 mi |
|C) |1,824 mi |
|D) |2,024 mi |
|D*20. |Find the reciprocal of [pic] show work and/or justify your answer here |
| | |
| |[pic] |
|A) |[pic] |
|B) |[pic] |
|C) |[pic] |
|D) |[pic] |
|A*21. |Divide [pic] Write the result in simplest form. show work and/or justify your answer here |
| | |
| |[pic] |
|A) |[pic] |
|B) |[pic] |
|C) |[pic] |
|D) |[pic] |
|D*22. |A stack of [pic] plywood is 90 in. high. How many sheets of plywood are in the stack? show work and/or justify your answer here |
| | |
| |[pic] |
|A) |125 sheets |
|B) |121 sheets |
|C) |127 sheets |
|D) |120 sheets |
|D 23. |Add. Write the answer in simplest form. |
| |[pic] |
|A) |[pic] |
|B) |[pic] |
|C) |[pic] |
|D) |[pic] |
|B*24. |What is the perimeter of a rectangle if the length is [pic] in. and the width is [pic] in.? show work and/or justify your answer|
| |here |
| | |
| |[pic] |
|A) |[pic] in. |
|B) |[pic] in. |
|C) |[pic] in. |
|D) |[pic] in. |
|A*25. |Find the least common multiple of 4 and 11. show work and/or justify your answer here |
| | |
| |[pic] |
|A) |44 |
|B) |4 |
|C) |11 |
|D) |45 |
|D 26. |Subtract. |
| |[pic] |
| | |
|A) |9 |
|B) |8 [pic] |
|C) |7 |
|D) |[pic] |
|C*27. |Sheila practiced [pic] hours Monday, [pic] hours Tuesday, and [pic] hours Wednesday. What is the total number of hours that she |
| |practiced? show work and/or justify your answer here |
| | |
| |[pic] |
|A) |[pic] hours |
|B) |6 hours |
|C) |[pic] hours |
|D) |[pic] hours |
|C*28. |Gasoline is $2 per gallon. You use [pic] gallons each day driving to and from work. How much should you budget for gasoline over|
| |the next 20 workdays? show work and/or justify your answer here |
| | |
| |We would use [pic] |
| | |
| |Price 30 gallons =[pic] |
|A) |$40 |
|B) |$50 |
|C) |$60 |
|D) |$70 |
|C*29. |Kristi jogged for [pic] of an hour, swam for [pic] of an hour, and rode her bicycle for [pic] of an hour. How long did she |
| |exercise? show work and/or justify your answer here |
| |[pic] |
|A) |[pic] h |
|B) |[pic] h |
|C) |[pic] h |
|D) |[pic] h |
|A*30. |Jon spent [pic] of his study time doing math homework and [pic] preparing for a history exam. What fraction of his study time |
| |remains? show work and/or justify your answer here |
| | |
| |[pic] |
|A) |[pic] |
|B) |[pic] |
|C) |[pic] |
|D) |[pic] |
|C 31. |Write in decimal form. |
| | |
| |[pic] |
|A) |85,830 |
|B) |8.583 |
|C) |8.0583 |
|D) |8.00583 |
|B 32. |Write the following as a common fraction or mixed number. |
| | |
| |0.76 |
|A) |[pic] |
|B) |[pic] |
|C) |[pic] |
|D) |[pic] |
|B 33. |Round to the indicated decimal place. |
| | |
| |16.57 tenths |
|A) |17.0 |
|B) |16.6 |
|C) |16.5 |
|D) |16.58 |
|C*34. |Flor is putting a fence around a field. The field is rectangular and measures 6.36 yards (yd) long and 14.37 yd wide. How much |
| |fence must Flor purchase? show work and/or justify your answer here |
| |[pic] |
|A) |20.73 yd |
|B) |27.09 yd |
|C) |41.46 yd |
|D) |35.1 yd |
|C*35. |Rainfall for the first 3 months of 2004 was recorded at 2.75, 1.57, and 1.65 inches (in.). If the normal rainfall for that |
| |period is 5.25 in., by how much was the 2004 amount above or below normal? show work and/or justify your answer here |
| | |
| |Total = 2.75 + 1.57 + 1.65 = 5.97 |
| | |
| |Difference = 5.97-5.25 = 0.72 above normal |
|A) |5.97 in. above normal |
|B) |5.97 in. below normal |
|C) |0.72 in. above normal |
|D) |0.72 in. below normal |
|D*36. |Jacque earns $7.80 per hour (h). For overtime (each hour over 40 h) he earns $11.70 per h. If he works 48.5 h in a week, what |
| |pay should he receive? show work and/or justify your answer here |
| | |
| |[pic] |
|A) |$534.30 |
|B) |$567.45 |
|C) |$378.30 |
|D) |$411.45 |
|D*37. |Find the circumference of a circle with a radius of 6.5 in. Use 3.14 for π and round your answer to one decimal place. show work|
| |and/or justify your answer here |
| | |
| |Circumreference = [pic] |
|A) |9.64 inches |
|B) |3.36 inches |
|C) |20.4 inches |
|D) |40.8 inches |
|C*38. |Find the area of a circle whose diameter is 4.7 centimeters (cm). Use 3.14 for π and round your answer to the nearest tenth of a|
| |square centimeter. show [pic]work and/or justify your answer here |
| | |
| |Area = [pic] |
|A) |34.7 |
|B) |69.4 |
|C) |17.3 |
|D) |8.7 |
|D*39. |Find the area of the shaded part in the figure. Use 3.14 for π and round your answer to one decimal place. show work and/or |
| |justify your answer here |
| | |
| |[pic] |
| | |
| |Shaded area = |
|A) |225.0 ft2 |
|B) |176.6 ft2 |
|C) |481.5 ft2 |
|D) |48.4 ft2 |
|B*40. |If the base of a parallelogram is [pic] in. and its height is [pic] in., what is its area? show work and/or justify your answer |
| |here |
| | |
| |Area = bh = [pic] |
|A) |[pic] in.2 |
|B) |[pic] in.2 |
|C) |[pic] in.2 |
|D) |[pic] in.2 |
|B*41. |A triangle has base 14 feet (ft) and an altitude of 7 ft. Find its area. show work and/or justify your answer here |
| | |
| |Area = [pic] |
|A) |21 |
|B) |49 |
|C) |98 |
|D) |24.5 |
|B*42. |Paolo paid $68.34 for six CDs on sale. What was the cost per CD? show work and/or justify your answer here |
| |[pic] |
|A) |$11.29 |
|B) |$11.39 |
|C) |$11.49 |
|D) |$11.59 |
|D43. |Write the ratio 5 to 9 as a fraction. |
|A) |1.80 |
|B) |1 [pic] |
|C) |[pic] |
|D) |[pic] |
|B44. |Vivica washes 6 cars in 60 minutes. How many minutes does it take Vivica to wash one car? |
|A) |5 minutes |
|B) |10 minutes |
|C) |15 minutes |
|D) |20 minutes |
|D*45. |Find the best buy on cashews (1 lb is 16 oz). show work and/or justify your answer here |
| | |
| |Price per ounces: |
| |A = [pic] |
| |B = [pic] |
| |C = [pic] |
| | |
| |D = [pic] |
|A) |10 oz for $4.79 |
|B) |12 oz for $5.29 |
|C) |1 lb for $6.29 |
|D) |1 lb 4 oz for $7.29 |
|B*46. |Solve for the unknown: [pic] show work and/or justify your answer here |
| | |
| |Cross multiplication gives: |
| |[pic] |
|A) |5 |
|B) |6 |
|C) |7 |
|D) |8 |
|D*47. |3 out of every 10 students at Marc's college live on campus. The college has 3,000 students. How many of them live on campus? |
| |show work and/or justify your answer here |
| | |
| |[pic] |
|A) |450 students |
|B) |1,350 students |
|C) |1,125 students |
|D) |900 students |
|C*48. |Which rates are not equivalent? show work and/or justify your answer here |
| | |
| |Using cross multiplication on all rates, gives that the rates in alternative C are not equivalent: |
| | |
| |[pic] |
|A) |[pic] |
|B) |[pic] |
|C) |[pic] |
|D) |[pic] |
|B*49. |Carlos works 8.25 hours and receives $102.30 pay. What will he receive at the same rate if he works if he works 14 hours? show |
| |work and/or justify your answer here |
| | |
| |Hourly wage = [pic] |
| | |
| |14 hours gives = [pic] |
|A) |$158.10 |
|B) |$173.60 |
|C) |$189.10 |
|D) |$204.60 |
|A50. |Rewrite the statement, using percent notation. |
| | |
| |Out of every 100 eligible people, 72 voted in a recent election. |
|A) |72% |
|B) |172% |
|C) |7.2% |
|D) |77% |
|D*51. |Write 46% as a fraction or a mixed number. show work and/or justify your answer here |
| | |
| |[pic] |
|A) |[pic] |
|B) |[pic] |
|C) |[pic] |
|D) |[pic] |
|B52. |Write 372% as a decimal. |
|A) |37.2 |
|B) |3.72 |
|C) |0.372 |
|D) |3,720 |
|B53. |Write 0.133 as a percent. |
|A) |1.33% |
|B) |13.3% |
|C) |133% |
|D) |1,330% |
|C*54. |Write [pic] as a percent to the nearest tenth of a percent. show work and/or justify your answer here |
| | |
| |[pic] |
|A) |40.9% |
|B) |49.4% |
|C) |47.1% |
|D) |41.2% |
|C*55. |Write [pic] as a percent. show work and/or justify your answer here |
| | |
| |[pic] |
|A) |6.58% |
|B) |62.5% |
|C) |662.5% |
|D) |600% |
|D 56. |56% of 200 is what number? show work and/or justify your answer here |
| | |
| |[pic] |
|A) |11,200 |
|B) |1,120 |
|C) |11.2 |
|D) |112 |
|A*57. |1,680 is what percent of 480? show work and/or justify your answer here |
| | |
| |[pic] |
|A) |350% |
|B) |35% |
|C) |588% |
|D) |58.8% |
|C*58. |140 is 20% of what number? show work and/or justify your answer here |
| | |
| |[pic] |
|A) |28 |
|B) |3,500 |
|C) |700 |
|D) |4,900 |
|A 59. |Is the object a line or a line segment? |
| | |
| |[pic] |
|A) |Line |
|B) |Line segment |
|C) |Neither |
| | |
|B 60. |Are the following two lines parallel, perpendicular, or neither? |
| | |
| |[pic] |
|A) |Parallel |
|B) |Neither |
|C) |Perpendicular |
| | |
|B*61. |Give the measure in degrees of the angle described. |
| | |
| |∠D represents [pic] of a complete circle. show work and/or justify your answer here |
| | |
| |[pic] |
|A) |32.4° |
|B) |270° |
|C) |162° |
|D) |243° |
|D 62. |If PQ [pic] RQ, identify the angle PQR as acute, right, obtuse, or straight. |
| | |
| |[pic] |
|A) |Straight |
|B) |Obtuse |
|C) |Acute |
|D) |Right |
|D*63. |m∠B ’ 75° |
| | |
| |Find the complement of ∠B. show work and/or justify your answer here |
| | |
| |C+B = 90 |
| |C+75 = 90 |
| |C = 15 |
|A) |45° |
|B) |165° |
|C) |105° |
|D) |15° |
|A 64. |Label the triangle as acute, obtuse, or right. |
| | |
| |[pic] |
|A) |Obtuse |
|B) |Right |
|C) |Acute |
| | |
|C 65. |Label the triangle as equilateral, isosceles, or scalene. |
| | |
| |[pic] |
|A) |Equilateral |
|B) |Isosceles |
|C) |Scalene |
| | |
|D*66. |Find the missing angle. show work and/or justify your answer here |
| | |
| |[pic] |
| | |
| |180-73-73 = 34 degrees |
|A) |29° |
|B) |32° |
|C) |30° |
|D) |34° |
|B*67. |Which two triangles are similar? show work and/or justify your answer here |
| | |
| |[pic] |
| | |
| |Angle in B = 180-44-56 = 80 |
| |Angle in C = 180-56-80 = 44 |
|A) |(a) and (b) |
|B) |(b) and (c) |
|C) |(a) and (c) |
|D) |None of the triangles |
|B*68. |The two triangles are similar. show work and/or justify your answer here |
| | |
| |Find g. |
| | |
| |[pic] |
| | |
| |[pic] |
|A) |22 |
|B) |22.5 |
|C) |24 |
|D) |22.75 |
|C*69. |Find the missing length of the right triangle. show work and/or justify your answer here |
| | |
| |[pic] |
| | |
| |[pic] |
|A) |13 |
|B) |15 |
|C) |14 |
|D) |16 |
|B 70. |[pic] |
| | |
| |Use the world population and land area table. |
| |What was the population of Oceana in 1900? |
|A) |106,000,000 |
|B) |6,000,000 |
|C) |38,000,000 |
|D) |400,000,000 |
|C 71. |[pic] |Use the bar graph, showing the attendance at a circus for 7 |
| | |days in September, to find the attendance on Sept. 9. |
|A) |5,600 |
|B) |6,400 |
|C) |7,200 |
|D) |3,200 |
|72. |[pic] |Use the graph, showing the yearly food costs of a family. |
| | |What was the cost in 2004? |
|A) |$9,500 |
|B) |$950 |
|C) |$1,000 |
|D) |$10,000 |
|73. |[pic] |The pie chart shows the distribution of a person's total yearly|
| | |income of $36,000. Find the amount budgeted for utilities. |
|A) |$2,880 |
|B) |$4,320 |
|C) |$1,800 |
|D) |$3,600 |
|*74. |Find the five-number summary of the following set of numbers. show work and/or justify your answer here |
| | |
| |14, 5, 13, 17, 6, 15, 6, 3, 11, 6 |
|A) |3, 6, 11, 14, 17 |
|B) |3, 6, 6, 14, 17 |
|C) |5, 6, 6, 14, 17 |
|D) |3, 6, 8.5, 14, 17 |
|*75. |If [pic]56[pic] and if [pic]+ [pic]= 180[pic], Find m∠2. show work and/or justify your answer here |
| | |
| |[pic] |
|A) |56° |
|B) |124° |
|C) |128° |
|D) |134° |
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