MAT 115 Week #9 Final Cumulative Test

MAT 115 Week #9 Final Cumulative Test

MAT 105 Basic Mathematics

Week # 8

Chapters 1 – 9 Final Cumulative Test

Name:

All Multiple Choice questions are worth 1 point. Questions are worth 3 points. Show all fractions and mixed numbers in lowest terms.

Show your work. Full credit is based upon work shown.

This test is worth 250 points. Your grade will be computed as your percentage score times 250.

Multiple Choice:

MAT 115 Week #9 Final Cumulative Test

1. / Perform the indicated addition.

A) 3,668 B) 3,758 C) 3,768 D) 3,778
Ans: / Add vertically:
6+2 = 8
4+3 = 7
0+7 = 7
2+1 = 3
3778 (choice D) / Instructor’s Comments
2. / Choose the correct greatest common factor of 30 and 50.
A) 20 B) 9 C) 6 D) 10
Ans: / 30 = 3*5*2
50 = 10*5 = 5*2*5
GCF = 5*2
= 10 (D) / Instructor’s Comments
3. / Subtract. Write the answer in lowest terms.

A) B) C) D)
Ans: / = (17-1)/24
= 16/24
Divide top and bottom by 8:
= 2/3 (D) / Instructor’s Comments
4. / A circular path around a lake has a diameter of 2,500 feet (ft). Pranotti jogs around the path 4 times for her morning run. How far does she run? Use 3.14 for p and round your answer to the nearest foot.
A) 31,400 B) 62,800 C) 15,700 D) 20,000
Ans: / C = pi*d
C = 3.14*2500
Run = 4*3.14*2500
= 31400 (A) / Instructor’s Comments
5. / The width of a swimming pool is 18.75 ft, and the length is 10.5 ft. Write the ratio of length to width as ratio of whole numbers.
A) B) C) D)
Ans: / 10.5/18.75
Multiply by 4:
= 42/75
Divide by 3:
= 14/25
(B) / Instructor’s Comments
6. / Which rates are not equivalent?
A) / / C) /
B) / / D) /
Ans: / Cross multiply:
65*4 = 2*130, yes
60*4 = 2*120, yes
65*4 = 2*125, NO
(Choice C) / Instructor’s Comments
7. / 60 is 30% of what number?
A) 18 B) 667 C) 200 D) 400
Ans: / 60/0.3
= 200 (Choice C) / Instructor’s Comments
8. / Find the missing length of the right triangle.

A) 6 B) 7 C) 8 D) 9
Ans: / Pythagorean Theorem:
A^2 + b^2 = c^2
A^2 + 15^2 = 17^2
A^2 = 17^2 – 15^2
A = sqrt(17^2 – 15^2)
A = 8 (choice C) / Instructor’s Comments
9. / The following scores were recorded on a 100-point examination:
95, 75, 76, 86, 96, 79, 68, 86, 85, 76, 66, 82, 93, 88, 94
Find the mean and median final examination scores.
A) / mean: 83; median: 82 / C) / mean: 83; median: 85
B) / mean: 82; median: 83 / D) / mean: 81; median: 85
Ans: / Order them:
66, 68, 75, 76, 76, 79, 82, 85, 86, 86, 88, 93, 94, 95, 96
Median = middle one = 82
Mean = sum/15
= (95+ 75+ 76+ 86+ 96+ 79+ 68+ 86+ 85+ 76+ 66+ 82+ 93+ 88+ 94)/15
= 83
Choice A / Instructor’s Comments
10. / Subtract
A) B) C) D) 0
Ans: / = 7/9 + 13/18
Common denom
= 14/18 + 13/18
Add
= 27/18
Reduce
= 3/2 (B) / Instructor’s Comments

Short Answer:

11. / Do the indicated subtraction.

Ans: / = 4 2 9 9 10
-1 1 3 1 5
= 31685 / Instructor’s Comments
12. / What is the product of 42 and 451?
Ans: / 42 times 451
451*2 + 451*40
= 18942 / Instructor’s Comments
13. / Tile for a kitchen counter will cost $8 per square foot to install. If the counter measures 14 ft by 3 ft, what will the tile cost?
Ans: / 14*3*8
= $336 / Instructor’s Comments
14. / List all the prime numbers between 54 and 94.
Ans: / 59, 61, 67, 71, 73, 79, 83, 89
http://en.wikipedia.org/wiki/Prime_numbers / Instructor’s Comments
15. / Change to a mixed or whole number.
Ans: / = 10/2 + 1/2
= 5 and 1/2 / Instructor’s Comments
16. / Divide Write the result in simplest form.
Ans: / Flip the second one and multiply:
1/8 * 6/5
= 6/40
= 3/20 / Instructor’s Comments
17. / Determine how far electricity travels in 7.5 ms. Express your answer in miles.
Ans: / Speed of light = 186.282397 miles/ms
Multiply by 7.5:
= 1397.1179775 miles / Instructor’s Comments
18. / Add.

Ans: / Common denominator (60):
15/60 + 48/60 + 56/60
= (15+48+56)/60
= 119/60 / Instructor’s Comments
19. / Add.

Ans: / = 17/3 + 19/4 + 43/6
Common denom (12):
= 68/12 + 57/12 + 86/12
= (68+57+86)/12
= 211/12 / Instructor’s Comments
20. / Darren used pieces of molding feet long, feet long, and feet long to frame a doorway. If he started with 20 feet of molding, how much was left over?
Ans: / 20 – 7.5 – 2.5 – 7.25
= 20 – 10 – 7.25
= 10-7.25
= 2.75
= 2 and ¾ feet / Instructor’s Comments
21. / Estimate the following sum.

Ans: / About 2 + 8 + 3 + 7
= 10 + 10
= 20 / Instructor’s Comments
22. / On a 3-day trip, Sunny bought 12.8, 14.7, and 14.3 gallons (gal) of gas. How many gallons did she buy?
Ans: / 12.8 + 14.7 + 14.3
12.8
14.7
14.3
= 41.8 gal / Instructor’s Comments
23. / Paula's car payment is $342.37 per month for 3 years. How much will she pay altogether?
Ans: / 3 years * 12 months = 36 months
= 36*342.37
= $12325.32 / Instructor’s Comments
24. / Find the whole or mixed number equivalent for the following improper fraction.

Ans: / 48 divided by 8
= 6 / Instructor’s Comments
25. / Divide. Round off to the nearest hundredth.

Ans: / 2.658 goes into 17 6 times.
17.277 – 15.948 = 1.327
2.658 goes into 1.327 0.5 times…
6.5 / Instructor’s Comments
26. / Find the unit price for the item: $9.84 for 2 dozen apples.
Ans: / 2 dozen = 24
9.84/24
= $0.41 per apple / Instructor’s Comments
27. / Solve for the unknown:
Ans: / Cross multiply:
0.4s = 6*2
Divide:
S = 6*2/0.4
S = 12/0.4
S = 30 / Instructor’s Comments
28. / On the blueprint of Lauren's new office building, the scale is 4 in. equals 12 ft. What will be the actual length of Lauren's office if it measures 6 in. long on the blueprint?
Ans: / 4in/12ft = 6in/xft
Cross multiply:
4x = 12*6
Divide:
X = 12*6/4
X = 18 feet / Instructor’s Comments
29. / Write 45% as a fraction or a mixed number.
Ans: / 45% = 0.45
= 45/100
Divide through by 5:
= 9/20 / Instructor’s Comments
30. / Write as a percent.
Ans: / Divide:
7 divide by 16
0.4375
Multiply by 100%:
= 43.75% / Instructor’s Comments
31. / Ben was charged $135.00 interest for 1 month on a $13,500 credit card balance. What was the monthly interest rate?
Ans: / Divide:
135/13500
= 0.01
Multiply by 100%:
= 1% / Instructor’s Comments
32. / Multiply. Express in minutes and seconds in the simplest form.
7´(5 min 26 s)
Ans: / = 7*5 minutes + 7*26 seconds
= 35 minutes + 182 seconds
182 seconds = 3 min 2 sec
Whole thing:
38 minutes 2 sec / Instructor’s Comments
33. / Complete the statement.
6 fl oz = ______mL
Ans: / 1 oz = 29.5735296 ml
6 oz = 6*29.5735296 ml
= 177.4411776 ml / Instructor’s Comments
34. / mÐB=64°
Find the supplement of ÐB.
Ans: / Supplements add to 180
180 – 64
= 116 degrees / Instructor’s Comments
35. / Use the graph below, showing the total U.S. motor vehicle production for the years 1996 to 2002, to answer the question.

What was the production in 1999?
Ans: / It’s just above 13 million
13.1 million / Instructor’s Comments
36. / The following information shows a relationship between the speed of a certain car over a 100-mi test trip and the gas mileage obtained:
Speed / 40 / 45 / 50 / 55 / 60
Gas mileage / 35 / 33 / 28 / 25 / 22
Use this information to make a line graph and then predict the gas mileage associated with a speed of 65 mi/h.
Ans: /
It is going down 3 per 5 mph, so:
22-3
= 19 miles per gallon / Instructor’s Comments
37. / Find the five-number summary of the following set of numbers.
335, 232, 189, 381, 238, 518, 282, 209, 311
Ans: / Sort them:
189, 209, 232, 238, 282, 311, 335, 381, 518
Five numbers: {low, firstquart, median, thirdquart, high}
{189, 232, 282, 335, 518} / Instructor’s Comments
38. / Determine the maximum and minimum values of the following set of numbers.

Ans: / Sort: -8, -3, -17/3, ¼, 7/9, 2, 35/6
Maximum is highest: 35/6
Minimum is lowest: -8 / Instructor’s Comments
39. / Multiply (–6)(–5)(–2).
Ans: / = -(6*5*2)
= -30*2
= -60 / Instructor’s Comments
40. / Find the reciprocal of
Ans: / First get this expression:
-200/25
Flip it to get the reciprocal:
-25/200
Divide top and bottom by 25:
-1/8 / Instructor’s Comments

MAT 115 Week #9 Final Cumulative Test