Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
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 Solution? Y Y N N Appropriate Steps Shown? Y N Y N Credit Earned per Problem Full Credit Partial Credit Partial Credit No Credit 40 problems – 6 points each Short Answer Questions — 10 points 250 points possible 1 Problem Work and Solution Perform the indicated addition. 4+8+6+7 = 25 (5 carry the 2) 2+5+4+7+8 = 26 (6 carry the 2) 2+8+3+0+5 = 18 (8 carry the 1) 1+5+2+7 = 15 (5 carry the 1) 1+2+3 = 6 25,854 348 2, 076 My Comments 37,587 = 65865 2 Do the indicated subtraction. = 3 14 3 6 17 -2 5 0 5 8 44,377 3 25, 058 = 19319 Divide. Show the remainder if applicable. 63/26 = 2 rem 11 Put the 11 onto the 4: 114 114/26 = 4 rem 10 = 24 rem 10 (72/8)-(9/3) = 9-3 =6 26 634 4 Evaluate. 72 8 9 3 5a Change 3 2 to an improper fraction. 5 5*3+2 = 15+2 = 17 17/5 1 5b Find the decimal equivalent of the mixed number. 8 7/8 = 0.875 So: 8.875 7 8 6 Add. 2 1 5 3 6 9 Common denom: 12/18 + 3/18 + 10/18 = (12+3+10)/18 = 25/18 7 Subtract. 4 6 1 5 = 30/5 – 9/5 = (30-9)/5 = 21/5 8 2 8 Multiply 4 . Write your answer in 7 11 simplest form. = 30/7 * 8/11 = 240/77 9 Divide 6 2 . Write the result in simplest 25 15 form. 10 Perform the indicated operations. 3 3 1 1 4 2 8 4 6 11 Add. 54.843 2.067 104.36 12 Multiply. 9.7 4.9 Flip the second and multiply: 6/25 * 15/2 = 3/25 * 15 = 3/5 * 3 = 9/5 11/8 + 19/4 – 13/6 Common denominator: 33/24 + 114/24 – 52/24 (33+114-52)/24 = 95/24 54+2+104 = 160 .843+.067+.36 = 1.27 = 161.27 9.7 4.9 3 87 8 38 = 47.53 13 Divide. 0.8 14.12 14/8 = 1 rem 6 61/8 = 7 rem 5 52/8 = 6 rem 5 2 14 Find the circumference of a circle with a radius of 5.5 in. Use 3.14 for and round your answer to one decimal place. 15 Find the area of the figure. 16 Solve for the unknown: s 12.0 . 36.0 2.4 17 97.3 is 7% of what number? 18 The two triangles are similar. Find the indicated side. Find y. 19 20 Complete the following statements. Show the conversion factor. A) 12 L = ________ qt B) 13 oz = ________ g C) 6 cm = ________ in. Find the five-number summary of the following set of numbers. = 17.65 C = 2*pi*r = 2*3.14*5.5 = 34.54 Rounds to: = 34.5 inches Big box = 12*15 = 180 ft^2 Little cutout = 4*5 = 20ft^2 Subtract: 180-20 = 160 ft^2 Cross multiply: 2.4s = 36*12 Divide by 2.4: S = 36*12/2.4 S = 180 7% = 0.07 97.3/0.07 = 1390 Proportion: y/5 = 8/10 Cross multiply: 10y = 40 Divide by 10: y=4 1 liter = 1.05668821 US quarts 12L = 12.68025852 qt 1 ounce = 28.3495231 grams 13 oz = 368.5438003 g 1 centimeter = 0.393700787 in 6 cm = 2.362204722 in Sort them: 2, 4, 6, 6, 6, 7, 9, 10, 11, 12 Low = 2 3 10, 4, 9, 12, 6, 11, 6, 2, 7, 6 21 Perform the indicated operations: A) Add 281 (–672). Q1 = 3rd = 6 Median = middle = (6+7)/2 = 6.5 Q3 = 8th = 10 High = 12 A: 281-672 = -391 B: -34-78 = -(34+78) = -112 C: (-14)(-6) = 14*6 = 84 B) Subtract 34 78 C) Multiply (7)(2)(6) 22 Determine the maximum and minimum values of the following set of numbers. 1 5 9 73 2, 8, , , , 7, 2 3 4 9 23 4 3 Add . 5 4 24 Perform the indicated operation. –16 (–14) –18 (–18) 25 Real World Problems Porfirio went shopping for some clothes. He bought a shirt for $57.98, a pair shoes for $93.19, a hat for $25.95, a coat for $120.85, and socks for $10.29. Estimate to the nearest dollar the total amount of Porfirio's purchases. ½ = 0.5 -5/3 = about -1.6666 9/4 = 2.25 -73/9 = about -8.1111 Max is 9/4 Min is -73/9 Common denominator: -16/20 – 15/20 (-16-15) = -31, so: -31/20 -16-(-14) = -16+14 = -2 -18-(-18) = -18+18 = 0 -2/0 = undefined About 58 + 93 + 26 + 121 + 10 = $308 26 You wish to cover a bathroom floor with 1square-foot (1-ft2) tiles that cost $2 each. If the bathroom is rectangular, 6 ft by 7 ft, how much will it cost? 6by7 = 42 square feet Each square foot costs $2: $2 * 42 = $84 27 A college basketball team scored 67, 75, and 69 points in three games. If its opponents scored 82, 62, and 55 points, by how much did the team outscore its opponents? (67+75+69)-(82+62+55) = 12 points 4 28 29 Turner agrees to buy a boat for $2,800 down 2800 + 129*48 and $129 a month for 48 months. What is the = 2800 + 6192 total cost of the boat? = $8992 1 3 hours Monday, 3 4 2 1 hours Tuesday, and 2 hours Wednesday. 4 What is the total number of hours that she practiced? Add them: 3/2 + 15/4 + 9/4 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, and 1.85 inches (in.). If the normal rainfall for that period is 7.45 in., by how much was the 2004 amount above or below normal? 7.45-2.93-1.94-1.85 = 0.73 below normal 31 Roberto has 22% of his pay withheld for deductions. If he earns $680 per week, what amount is withheld? 22% = 0.22 680*0.22 = $149.60 32 You buy a square lot that is 165 yd on each side. What is its size in acres? 33 Find the area of the shaded part in the figure. Use 3.14 for and round your answer to one decimal place. Area = L*W 165*165 = 27225 sq yd Divide by 4840 sq yd per acre: 27225/4840 = 5.625 acres = area of square – area of circle = 15^2 – pi*(d/2)^2 = 225 - 176.625 = 48.375 sq ft 34 A basketball player scored a total of 36 points in the first three games of the season. If he continues at the same pace, how many points should he score in the 22-game season? 36/3 = 12 points per game 12*22 = 264 points in the season. 35 Find the best buy on pasta sauce (1 qt is 32 oz). A) 1 qt for $1.29 B) 45 oz for $1.59 C) 48 oz for $1.79 D) 1 qt 16 oz for $1.99 1.29/32 = about 0.0403 1.59/45 = about 0.0353 1.79/48 = about 0.03729 1.99/48 = about 0.041458 Sheila practiced 1 B is the best deal 5 36 Kim was charged $150.00 interest for 1 month on a $10,000 credit card balance. What was the monthly interest rate? 150/10000 = 0.015 = 1.5% 37 A saleswoman is working on a 4% commission basis. If she wants to make $3,200 in one month, how much must she sell? 4% = 0.04 3200/0.04 = $80,000 An office bought 24 handheld calculators for $592. What was the cost per calculator to the nearest cent? 592/24 = 24.66666 = $24.67 39 The pie chart shows the distribution of a person's total yearly income of $36,000. Find the amount budgeted for utilities. Utilities = 8% = 0.08 0.08*36000 = $2880 40 The following scores were recorded on a 100-point examination: 91, 85, 76, 86, 96, 51, 68, 92, 85, 72, 66, 88, 93, 82, 84 Mean = add them and divide by 15: (a) Find the mean final examination score. (b) Find the median final examination score. (c) Is the mean or median a more useful representative of the final examination scores? = 81 38 (91+ 85+ 76+ 86+ 96+ 51+ 68+ 92+ 85+ 72+ 66+ 88+ 93+ 82+ 84)/15 Median: sort them: 51, 66, 68, 72, 76, 82, 84, 85, 85, 86, 88, 91, 92, 93, 96 Middle number = 85 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: 1. Do you feel that the text has good 6 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? 5. What other resources (MathZone, other websites) would you suggest to benefit someone taking this course? 42 Now, let's reflect on the entire course: 1. Two things I liked about this class are: 2. Two things I would change in this class are: 3. I felt frustrated in this class when: 4. I felt good in this class when: 5. If I were Teacher for a Week, I would _________________. (please complete this thought) 7