Name



Name _______________________ Date _________________________

Solve all problems and attach your solutions document in your Individual Forum (IF) by Sunday Midnight. No late papers will be accepted. Remember to show all steps and check your work carefully.

|Correct |Appropriate Steps Shown? |Credit Earned per Problem |

|Solution? | | |

|Y |Y |Full Credit |

|Y |N |Partial Credit |

|N |Y |Partial Credit |

|N |N |No Credit |

40 problems – 6 points each

Short Answer Questions — 10 points

250 points possible

| |Problem |Work and Solution |My Comments |

|1 |Perform the indicated addition. |4+8+6+7 = 25 (5 carry the 2) | |

| | |2+5+4+7+8 = 26 (6 carry the 2) | |

| |[pic] |2+8+3+0+5 = 18 (8 carry the 1) | |

| | |1+5+2+7 = 15 (5 carry the 1) | |

| | |1+2+3 = 6 | |

| | | | |

| | | | |

| | |= 65865 | |

|2 |Do the indicated subtraction. |= 3 14 3 6 17 | |

| | |-2 5 0 5 8 | |

| |[pic] | | |

| | |= 19319 | |

|3 |Divide. Show the remainder if applicable. |63/26 = 2 rem 11 | |

| | |Put the 11 onto the 4: | |

| |[pic] |114 | |

| | |114/26 = 4 rem 10 | |

| | |= 24 rem 10 | |

|4 |Evaluate. |(72/8)-(9/3) | |

| | |= 9-3 | |

| |72 ÷ 8 − 9 ÷ 3 |= 6 | |

|5a |Change [pic] to an improper fraction. |5*3+2 = 15+2 = 17 | |

| | |17/5 | |

|5b |Find the decimal equivalent of the mixed number. |7/8 = 0.875 | |

| | |So: | |

| |[pic] |8.875 | |

|6 | |Common denom: | |

| |Add. |12/18 + 3/18 + 10/18 | |

| |[pic] |= (12+3+10)/18 | |

| | |= 25/18 | |

|7 |Subtract. |= 30/5 – 9/5 | |

| |[pic] |= (30-9)/5 | |

| | |= 21/5 | |

|8 |Multiply [pic] Write your answer in simplest form. |= 30/7 * 8/11 | |

| | |= 240/77 | |

|9 |Divide [pic] Write the result in simplest form. |Flip the second and multiply: | |

| | |6/25 * 15/2 | |

| | |= 3/25 * 15 | |

| | |= 3/5 * 3 | |

| | |= 9/5 | |

|10 |Perform the indicated operations. |11/8 + 19/4 – 13/6 | |

| |[pic] |Common denominator: | |

| | |33/24 + 114/24 – 52/24 | |

| | |(33+114-52)/24 | |

| | |= 95/24 | |

|11 |Add. |54+2+104 = 160 | |

| | |.843+.067+.36 = 1.27 | |

| |54.843 + 2.067 + 104.36 |= 161.27 | |

|12 |Multiply. |9.7 | |

| | |4.9 | |

| |[pic] |3 | |

| | |87 | |

| | |8 | |

| | |38 | |

| | | | |

| | | | |

| | |= 47.53 | |

|13 |Divide. |14/8 = 1 rem 6 | |

| | |61/8 = 7 rem 5 | |

| |[pic] |52/8 = 6 rem 5 | |

| | | | |

| | |= 17.65 | |

|14 |Find the circumference of a circle with a radius of 5.5 in. Use |C = 2*pi*r | |

| |3.14 for π and round your answer to one decimal place. |= 2*3.14*5.5 | |

| | |= 34.54 | |

| | |Rounds to: | |

| | |= 34.5 inches | |

|15 |Find the area of the figure. |Big box = 12*15 = 180 ft^2 | |

| | |Little cutout = 4*5 = 20ft^2 | |

| |[pic] |Subtract: | |

| | |180-20 | |

| | |= 160 ft^2 | |

|16 |Solve for the unknown: [pic] |Cross multiply: | |

| | |2.4s = 36*12 | |

| | |Divide by 2.4: | |

| | |S = 36*12/2.4 | |

| | |S = 180 | |

|17 | |7% = 0.07 | |

| |97.3 is 7% of what number? |97.3/0.07 | |

| | |= 1390 | |

|18 |The two triangles are similar. Find the indicated side. | | |

| | |Proportion: | |

| |Find y. |y/5 = 8/10 | |

| | |Cross multiply: | |

| |[pic] |10y = 40 | |

| | |Divide by 10: | |

| | |y = 4 | |

|19 |Complete the following statements. Show the conversion factor. |1 liter = 1.05668821 US quarts | |

| | |12L = 12.68025852 qt | |

| |12 L = ________ qt | | |

| | |1 ounce = 28.3495231 grams | |

| |13 oz = ________ g |13 oz = 368.5438003 g | |

| | | | |

| |6 cm = ________ in. |1 centimeter = 0.393700787 in | |

| | |6 cm = 2.362204722 in | |

|20 |Find the five-number summary of the following set of numbers. |Sort them: | |

| | |2, 4, 6, 6, 6, 7, 9, 10, 11, 12 | |

| |10, 4, 9, 12, 6, 11, 6, 2, 7, 6 |Low = 2 | |

| | |Q1 = 3rd = 6 | |

| | |Median = middle = (6+7)/2 = 6.5 | |

| | |Q3 = 8th = 10 | |

| | |High = 12 | |

|21 |Perform the indicated operations: |A: 281-672 = -391 | |

| | | | |

| |Add 281 + (–672). |B: -34-78 = -(34+78) = -112 | |

| | | | |

| | |C: (-14)(-6) = 14*6 = 84 | |

| |Subtract [pic] | | |

| | | | |

| | | | |

| |Multiply [pic] | | |

| | | | |

|22 |Determine the maximum and minimum values of the following set of |½ = 0.5 | |

| |numbers. |-5/3 = about -1.6666 | |

| | |9/4 = 2.25 | |

| |[pic] |-73/9 = about -8.1111 | |

| | | | |

| | |Max is 9/4 | |

| | |Min is -73/9 | |

|23 |Add [pic] |Common denominator: | |

| | |-16/20 – 15/20 | |

| | |(-16-15) = -31, so: | |

| | |-31/20 | |

|24 |Perform the indicated operation. |-16-(-14) = -16+14 = -2 | |

| | |-18-(-18) = -18+18 = 0 | |

| |[pic] |-2/0 = undefined | |

| |Real World Problems | | |

|25 |Porfirio went shopping for some clothes. He bought a shirt for |About 58 + 93 + 26 + 121 + 10 | |

| |$57.98, a pair shoes for $93.19, a hat for $25.95, a coat for |= $308 | |

| |$120.85, and socks for $10.29. Estimate to the nearest dollar the | | |

| |total amount of Porfirio's purchases. | | |

|26 |You wish to cover a bathroom floor with 1-square-foot (1-ft2) tiles|6by7 = 42 square feet | |

| |that cost $2 each. If the bathroom is rectangular, 6 ft by 7 ft, |Each square foot costs $2: | |

| |how much will it cost? |$2 * 42 | |

| | |= $84 | |

|27 |A college basketball team scored 67, 75, and 69 points in three |(67+75+69)-(82+62+55) | |

| |games. If its opponents scored 82, 62, and 55 points, by how much |= 12 points | |

| |did the team outscore its opponents? | | |

|28 |Turner agrees to buy a boat for $2,800 down and $129 a month for 48|2800 + 129*48 | |

| |months. What is the total cost of the boat? |= 2800 + 6192 | |

| | |= $8992 | |

|29 |Sheila practiced [pic] hours Monday, [pic] hours Tuesday, and [pic]|Add them: | |

| |hours Wednesday. What is the total number of hours that she |3/2 + 15/4 + 9/4 | |

| |practiced? |Common denom: | |

| | |6/4 + 15/4 + 9/4 | |

| | |= (6+15+9)/4 | |

| | |= 30/4 | |

| | |= 15/2 | |

|30 |Rainfall for the first 3 months of 2004 was recorded at 2.93, 1.94,|7.45-2.93-1.94-1.85 | |

| |and 1.85 inches (in.). If the normal rainfall for that period is |= 0.73 below normal | |

| |7.45 in., by how much was the 2004 amount above or below normal? | | |

|31 |Roberto has 22% of his pay withheld for deductions. If he earns |22% = 0.22 | |

| |$680 per week, what amount is withheld? |680*0.22 | |

| | |= $149.60 | |

|32 |You buy a square lot that is 165 yd on each side. What is its size |Area = L*W | |

| |in acres? |165*165 | |

| | |= 27225 sq yd | |

| | |Divide by 4840 sq yd per acre: | |

| | |27225/4840 | |

| | |= 5.625 acres | |

|33 |Find the area of the shaded part in the figure. Use 3.14 for π and |= area of square – area of circle | |

| |round your answer to one decimal place. |= 15^2 – pi*(d/2)^2 | |

| | |= 225 - 176.625 | |

| |[pic] |= 48.375 sq ft | |

|34 |A basketball player scored a total of 36 points in the first three |36/3 = 12 points per game | |

| |games of the season. If he continues at the same pace, how many |12*22 = 264 points in the season. | |

| |points should he score in the 22-game season? | | |

|35 |Find the best buy on pasta sauce (1 qt is 32 oz). |1.29/32 = about 0.0403 | |

| |1 qt for $1.29 |1.59/45 = about 0.0353 | |

| |45 oz for $1.59 |1.79/48 = about 0.03729 | |

| |48 oz for $1.79 |1.99/48 = about 0.041458 | |

| |1 qt 16 oz for $1.99 | | |

| | |B is the best deal | |

|36 |Kim was charged $150.00 interest for 1 month on a $10,000 credit |150/10000 | |

| |card balance. What was the monthly interest rate? |= 0.015 | |

| | |= 1.5% | |

|37 |A saleswoman is working on a 4% commission basis. If she wants to |4% = 0.04 | |

| |make $3,200 in one month, how much must she sell? |3200/0.04 | |

| | |= $80,000 | |

| |An office bought 24 handheld calculators for $592. What was the |592/24 | |

|38 |cost per calculator to the nearest cent? |= 24.66666 | |

| | |= $24.67 | |

|39 |The pie chart shows the distribution of a person's total yearly |Utilities = 8% = 0.08 | |

| |income of $36,000. Find the amount budgeted for utilities. |0.08*36000 | |

| | |= $2880 | |

| |[pic] | | |

|40 |The following scores were recorded on a 100-point examination: |Mean = add them and divide by 15: | |

| |91, 85, 76, 86, 96, 51, 68, 92, 85, 72, 66, 88, 93, 82, 84 |(91+ 85+ 76+ 86+ 96+ 51+ 68+ 92+ 85+ 72+ 66+ 88+ 93+ 82+ 84)/15 | |

| | |= 81  | |

| |(a) Find the mean final examination score. |Median: sort them: | |

| |(b) Find the median final examination score. |51, 66, 68, 72, 76, 82, 84, 85, 85, 86, 88, 91, 92, 93, 96 | |

| |(c) Is the mean or median a more useful representative of the final|Middle number = 85  | |

| |examination scores? |The median seems like a better representation, since the very low| |

| | |outliers do not impact it. | |

|41 |Let's reflect on our resources for this course: | | |

| | | | |

| |Do you feel that the text has good examples? | | |

| |2.   Did you find the extra materials on our topics in Course | | |

| |Materials helpful? | | |

| |3.   If so, how were they helpful? | | |

| |4.   If not, what suggestions can you make so that this material | | |

| |might be more helpful? | | |

| |What other resources (MathZone, other websites) would you suggest | | |

| |to benefit someone taking this course? | | |

|42 |Now, let's reflect on the entire course: | | |

| |Two things I liked about this class are: | | |

| | | | |

| |Two things I would change in this class are: | | |

| | | | |

| |I felt frustrated in this class when: | | |

| | | | |

| |I felt good in this class when: | | |

| | | | |

| |If I were Teacher for a Week, I would  _________________. | | |

| |          (please complete this thought) | | |

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