Name ______
Date ______
MAT115
Test 2
Chapters 3 and 4
25 problems – 4 points each
100 points possible
Solve all problems and attach your solutions document in your Individual Forum (IF).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
Grading -
Comments
1. / Add. Write the answer in lowest terms.
= (17+19)/20
= 36/20
= 18/10
= 9/5
2. / Subtract. Write the answer in lowest terms.
= (17-11)/24
= 6/24
= 1/4
3. / Estimate the following product.
Estimate it as: 8 * 4 = 32
4. / Perform the following operations. Write in lowest terms.
Convert to 30ths:
22/30 + 21/30-12/30
= (22+21-12)/30
= 31/30
5. / Find the least common multiple of 9, 14, and 42.
9 = 3*3
14 = 7*2
42 = 7*3*2
LCM = 3*3*7*2
= 126
6. / Write the following numbers as a common fraction or mixed number. Write your answer in lowest terms.
a)0.4
= 4/10 = 2/5
b) 5.679
= 5 and 679/1000
7. / Complete the following statements, using the symbol <, =, or >.
a)3.671 3.67 the first one has an extra 1
b) 0.62, because 5/8 = 0.625
8. / Arrange in order from smallest to largest.
3.07, 3.0712, 3.078, 3.0717, 3.072, 3.071
37/10 = 3.7
371/100 = 3.71
Ordered:
3.07, 3.071, 3.0712, 3.0717, 3.072, 3.078, 37/10, 371/100
9. / Subtract
24. 6 10
- 8. 5 4
= 16.16
10. / Divide.
17.65
8
61
56
52
48
40
= 17.65
11. / Find the decimal equivalent for the following fraction and mixed number.
a) = 0.4375
b) = 33/5 = 6.6
12. / For the decimals a) 3.75049 and b) 8.62354:
What is the place value of 5?
a… second place after the decimal… hundredths
b…. 4th place after the decimal…ten thousandths
13. / Write in words.
32.037
Thirty two and thirty seven thousandths
14. / Add.
54.8432.067104.36
54+2+104 = 160
.8+.0+.3 = 1.1
.04+.06+.06 = .16
.003+.007 = .01
Sum:
= 161.27
Real World Applications (Remember to show all steps.)
15. / What is the perimeter of a rectangle if the length is m and the width is m?
P = 2L + 2W
= 2(5/9) + 2(2/9)
= 10/9 + 4/9
= 14/9 meters
16. / Four buttons have diameters of , , , and inches. Which button is smallest?
Common denominators:
10/16, 12/16, 9/16, 14/16
The smallest is 9/16.
17. / Greg spent hour (h) responding to emails and h returning phone calls. How much time did he spend on the two activities? (Answer in fraction of an hour, rather than minutes, please)
¼ + 5/8
= 2/8 + 5/8
= 7/8 hour
18. / Kristi jogged for of an hour, swam for of an hour, and rode her bicycle for of an hour. How long did she exercise? (Answer in fraction of an hour, rather than minutes, please)
3/5 + ½ + ¾
= 12/20 + 10/20 + 15/20
= (12+10+15)/20
= 37/20 hours
19. / Mr. Knight owned of a family business. He sold of the business to his sister. What fraction of the business does he still own?
8/9 – 1/8
= 64/72 – 9/72
= (64-9)/72
= 55/72
20. / 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?
sum = 2.93 + 1.94 + 1.85
= 6.72 inches
That’s below average
21. / A beef roast weighing 6.8 lb costs $2.25 per pound. What is the cost of the roast?
Multiply:
6.8*2.25
= $15.30
22. / Find the circumference of the figure. Use 3.14 for and round your answer to one decimal place.
C = 2pi*r
= 2*3.14*12
= 75.36 feet
23. / Find the area of the figure.
area = base*height
= 8*5
= 40 sq ft.
24. / Paolo paid $46.36 for four CDs on sale. What was the cost per CD?
Divide by 4:
46.36/4
= $11.59
25. / Find the area of the figure.
Area = ½ * b * h
= ½ * 4 * 9
= 18 sq ft
MAT115 Test 2 Page 1 of 6