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.
CorrectSolution? / Appropriate Steps Shown? / Credit Earned per Problem
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 Comments1 / 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
= 65865
2 / Do the indicated subtraction.
/ = 3 14 3 6 17
-2 5 0 5 8
= 19319
3 / 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
4 / Evaluate.
72893 / (72/8)-(9/3)
= 9-3
= 6
5a / Change 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:
8.875
6 / Add.
/ Common denom:
12/18 + 3/18 + 10/18
= (12+3+10)/18
= 25/18
7 / Subtract.
/ = 30/5 – 9/5
= (30-9)/5
= 21/5
8 / Multiply Write your answer in simplest form. / = 30/7 * 8/11
= 240/77
9 / Divide 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
Common denominator:
33/24 + 114/24 – 52/24
(33+114-52)/24
= 95/24
11 / Add.
54.8432.067104.36 / 54+2+104 = 160
.843+.067+.36 = 1.27
= 161.27
12 / Multiply.
/ 9.7
4.9
3
87
8
38
= 47.53
13 / Divide.
/ 14/8 = 1 rem 6
61/8 = 7 rem 5
52/8 = 6 rem 5
= 17.65
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. / C = 2*pi*r
= 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
Subtract:
180-20
= 160 ft^2
16 / Solve for the unknown: / Cross multiply:
2.4s = 36*12
Divide by 2.4:
S = 36*12/2.4
S = 180
17 / 97.3 is 7% of what number? / 7% = 0.07
97.3/0.07
= 1390
18 / The two triangles are similar. Find the indicated side.
Find y.
/ Proportion:
y/5 = 8/10
Cross multiply:
10y = 40
Divide by 10:
y = 4
19 / Complete the following statements. Show the conversion factor.
A)12 L = ______qt
B)13 oz = ______g
C)6 cm = ______in. / 1 liter = 1.05668821 US quarts
12L = 12.68025852 qt
1 ounce = 28.3495231 grams
13 oz = 368.5438003 g1 centimeter = 0.393700787 in
6 cm = 2.362204722 in20 / Find the five-number summary of the following set of numbers.
10, 4, 9, 12, 6, 11, 6, 2, 7, 6 / Sort them:
2, 4, 6, 6, 6, 7, 9, 10, 11, 12
Low = 2
Q1 = 3rd = 6
Median = middle = (6+7)/2 = 6.5
Q3 = 8th = 10
High = 12
21 / Perform the indicated operations:
A)Add 281(–672).
B)Subtract
C)Multiply / A: 281-672 = -391
B: -34-78 = -(34+78) = -112
C: (-14)(-6) = 14*6 = 84
22 / Determine the maximum and minimum values of the following set of numbers.
/ 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
23 / Add / 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
-2/0 = undefined
Real World Problems
25 / 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. / About 58 + 93 + 26 + 121 + 10
= $308
26 / You wish to cover a bathroom floor with 1-square-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
28 / Turner agrees to buy a boat for $2,800 down and $129 a month for 48 months. What is the total cost of the boat? / 2800 + 129*48
= 2800 + 6192
= $8992
29 / Sheila practiced hours Monday, hours Tuesday, and hours Wednesday. 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? / Area = L*W
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 and round your answer to one decimal place.
/ = 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
B is the best deal
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
38 / 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
(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? / Mean = add them and divide by 15:
(91+ 85+ 76+ 86+ 96+ 51+ 68+ 92+ 85+ 72+ 66+ 88+ 93+ 82+ 84)/15
= 81
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:
- Do you feel that the text has good examples?
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 benefitsomeone 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 ______.
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