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° |

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download